Copyright: Copyright ©1994 Waterford Institute
Citation: Copyright 1994 Waterford Institute. All Rights Reserved.


Memphis Help Contents
Memphis Math: Treasure of the Tomb

Equation Help Contents

Math Problems & Objectives

FEQ	Fractions, Equivalents

FLT	Fractions, Lowest Terms

FCM	Fractions, Comparing

FMX	Fractions, Improper and Mixed Numbers

FOF	Fractions, Finding a Fraction of a Number

FAS	Fractions, Addition and Subtraction

FML	Fractions, Multiplication

FDV	Fractions, Division

DPV	Decimals, Place Value

DAS	Decimals, Addition and Subtraction

DML	Decimals, Multiplication

DDV	Decimal, Division

PCT	Percents


Fractions: Equivalents

FEQ01	Multiply to find a fraction equivalent to fraction <1.

FEQ02	Identify the multiplier in making an equivalent fraction <1.

FEQ03	Divide to find a fraction equivalent to fraction <1.

FEQ04	Identify the divisor in making an equivalent fraction <1.

FEQ05	Change a whole number to a fraction with denominator 1.

FEQ06	Identify the whole number value of an improper fraction.

FEQ07	Write a whole number as a mixed number, or vice versa.


FEQ01

Multiply to make an equivalent fraction.

Sample Problem:

Hint:

Multiply the numerator and denominator by the same number.

Solution:


FEQ02

Find the number that makes this equivalent fraction.

Sample Problem:

Hint:

Multiply the numerator and denominator by the same number.

Solution:


FEQ03

Divide to make an equivalent fraction.

Sample Problem:

Hint:

Divide the numerator and denominator by the same number.

Solution:


FEQ04

Find the number that makes this equivalent fraction.

Sample Problem:

Hint:

Divide the numerator and denominator by the same number.

Solution:


FEQ05

Change the whole number to an improper fraction or change the fraction to a whole number.

Sample Problem:

Hint:

A whole number always equals the numerator of a fraction with 1 as the denominator.

Solution:


FEQ06

Change this improper fraction to a whole number.

Sample Problem:

Hint:

A fraction can be read as a division problem.  Divide the numerator by the denominator.

Solution:


FEQ07

Change the whole number to an equivalent mixed number or change the mixed number to a whole number.

Sample Problem:

Hint:

A fraction equals 1 when the numerator and denominator are the same.

Rename the whole number as 1 less, plus a fraction equal to 1.

Solution:


Fractions: Lowest Terms

FLT01	Simplify a fraction <1.

FLT02	Simplify a fraction <1.

FLT03	Simplify a fraction <1.

FLT04	Simplify a fraction <1.

FLT05	Tell whether a fraction <1 is in lowest terms.

FLT06	Name a common denominator of two lowest term fractions <1.

FLT07	Name a common denominator of two lowest term fractions <1.

FLT08	Name a common denominator of two lowest term fractions <1.


FLT01

Reduce this fraction to lowest terms.

Sample Problem:

Hint:

Divide the numerator and denominator by the numerator.

Solution:


FLT02

Reduce this fraction to lowest terms.

Sample Problem:

Hint:

Divide the numerator and denominator by the numerator.

Solution:


FLT03

Reduce this fraction to lowest terms.

Sample Problem:

Hint:

Divide the numerator and denominator by the same number.  Use the largest number you can.

Solution:


FLT04

Reduce this fraction to lowest terms.

Sample Problem:

Hint:

Divide the numerator and denominator by the same number.  Use the largest number you can.

Solution:


FLT05

Is this fraction in lowest terms?

Sample Problem:

Hint:

If you can divide the numerator and denominator by the same number it is not in lowest terms.  Try dividing by small numbers like 2,3 and 5.

Solution:


FLT06

Find the least common denominator.

Sample Problem:

Hint:

When the denominators have no common factors, multiply the denominators to get the least common denominator.

Solution:


FLT07

Find the least common denominator.

Sample Problem:

Hint:

If one denominator is a factor of the other, the larger denominator equals the least common denominator.

Solution:


FLT08

Find the least common denominator.

Sample Problem:

Hint:

List multiples of both denominators until you find the smallest number that is a multiple of both.

Solution:


Fractions: Comparing

FCM01	Compare two fractions <1 with a common denominator.

FCM02	Compare two fractions <1 with different denominators.

FCM03	Compare two proper mixed numbers with a common denominator.

FCM04	Compare two proper mixed numbers with the same whole number.

FCM05	Compare two fractions <1.

FCM06	Compare two fractions <1.

FCM07	Compare two proper mixed numbers with different denominators.


FCM01

Use <,>, or = to compare these fractions.

Sample Problem:

Hint:

When the denominators are equal, compare the numerators.

Solution:


FCM02

Use <,>, or = to compare these fractions.

Sample Problem:

Hint:

When the numerators both equal 1, compare the denominators.  The largest fraction has the smallest denominator.

Solution:


FCM03

Use <,>, or = to compare these mixed numbers.

Sample Problem:

Hint:

Look at the whole numbers.  The mixed number with the largest whole number is greater.

Solution:


FCM04

Use <,>, or = to compare these mixed numbers.

Sample Problem:

Hint:

When the whole numbers are equal, compare the fractions.

Solution:


FCM05

Find a common denominator then compare using <,>, or =.

Sample Problem:

Hint:

Reduce both fractions to lowest terms to find a common denominator.

Solution:


FCM06

Find a common denominator then compare using <,>, or =.

Sample Problem:

Hint:

Reduce both fractions to lowest terms to find a common denominator.

Solution:


FCM07

Find a common denominator then compare using <,>, or =.

Sample Problem:

Hint:

Reduce both fractions to lowest terms to find a common denominator.

Solution:


Fractions: Improper and Mixed Numbers

FMX01	Determine if a given fraction is proper.

FMX02	Write an imporper fraction as a whole or mixed number.

FMX03	Write an improper fraction as a whole or mixed number.

FMX04	Write a proper mixed number as an improper fraction.

FMX05	Rename a mixed proper fraction to a mixed improper fraction.


FMX01

Is this a proper fraction?

Sample Problem:

Hint:

A fraction is proper if the numerator is less than the denominator.

Solution:


FMX02

Change this improper fraction to a whole or mixed number.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Divide the numerator by the denominator to get the whole number.  Place the remainder over the denominator to get the fraction.

Solution:


FMX03

Change this improper fraction to a whole or mixed number.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Divide the numerator by the denominator to get the whole number.  Place the remainder over the denominator to get the fraction.  Then reduce.

Solution:


FMX04

Change this mixed number to an improper fraction.

Sample Problem:

Hint:

Multiply the whole number by the denominator, then add the numerator.  Place this number over the denominator.

Solution:


FMX05

Change this mixed number to an equivalent mixed number.

Sample Problem:

Hint:

Rename the whole number as 1 less plus a fraction equal to one.  Then add the fractions.

Solution:


Fractions: Finding the Fraction of a Number

FOF01	Find this fraction of a whole number.

FOF02	Find this fraction of a whole number.

FOF03	Find this fraction of a whole number.


FOF01

Find this fraction of the whole number.

Sample Problem:

Hint:

When the numerator equals one, divide the whole number by the denominator.

Solution:


FOF02

Find this fraction of the whole number.

Sample Problem:

Hint:

When the numerator equals one, divide the whole number by the denominator.

Solution:


FOF03

Find this fraction of the whole number.

Sample Problem:

Hint:

Divide the whole number by the denominator, then multiply by the numerator.

Solution:


FAS22

Do this subtraction.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the 1 as a fraction equal to one.  This fraction should have the same numerator and denominator as the other fraction.  Then subtract.

Solution:


FAS01

Add these fractions.

Sample Problem:

Hint:

Add the numerators.  The denominators stay the same.

Solution:


FAS02

Add these fractions.

Sample Problem:

Hint:

Add the numerators.  The denominators stay the same.

Solution:


FAS03

Add these fractions.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Add the numerators.  Divide the numerator and denominator by the same number to reduce.

Solution:


FML01

Multiply these numbers.

Sample Problem:

Hint:

Multiply the whole number by the numerator.  Then divide by the denominator.

Solution:


FAS04

Add these fractions.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Add the numerators.  Divide the numerator and denominator by the same number to reduce.

Solution:


FAS05

Do this subtraction.

Sample Problem:

Hint:

Subtract the numerators.  The denominators stay the same.

Solution:


FAS06

Do this subtraction.

Sample Problem:

Hint:

Subtract the numerators.  The denominators stay the same.

Solution:


FAS21

Do this subtraction.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the 1 as a fraction equal to one.  This fraction should have the same numerator and denominator as the other fraction.  Then subtract.

Solution:


FAS07

Do this subtraction.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Subtract the numerators.  Divide the numerator and denominator by the same number to reduce.

Solution:


FAS08

Do this subtraction.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Subtract the numerators.  Divide the numerator and denominator by the same number to reduce.

Solution:


FAS09

Add these fractions.  Write your answer as a mixed number reduced to lowest terms.

Sample Problem:

Hint:

Add the numerators.

Divide the numerator by the denominator to make a mixed number.  Then reduce.

Solution:


FAS10

Add these fractions.  Write your answer as a mixed number reduced to lowest terms.

Sample Problem:

Hint:

Add the numerators.

Divide the numerator by the denominator to make a mixed number.  Then reduce.

Solution:


DAS03

Do this subtraction.

Sample Problem:

Hint:

Subtract 1 from the tenths.  The tenths are directly to the right of the decimal point.  The whole number stays the same.

Solution:


FAS11

Add these mixed numbers.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Add the fractions and reduce.  Then add the whole numbers.

Solution:


FAS12

Add these mixed numbers.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Add the fractions and reduce.  Then add the whole numbers.

Solution:


DML02

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the zero.  The zero is a place holder for the decimal.  When 1 factor is a tenth and the other is a whole number, the factors have a total of 1 digit right of the decimal point.  The product will also have 1 digit right of the decimal point.

Solution:


FAS13

Do this subtraction.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Subtract the fractions and reduce.  Then subtract the whole numbers.

Solution:


FAS14

Do this subtraction.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Subtract the fractions and reduce.  Then subtract the whole numbers.

Solution:


FAS15

Do this subtraction.

Sample Problem:

Hint:

Subtract the whole numbers.  The fraction stays the same.

Solution:


Fractions: Multiplication

FML01	Multiply a lowest terms fraction and a whole number.

FML02	Find the denominator when multiplying a fraction by a whole number.

FML03	Multiply two lowest terms fractions <1.  Reducing required.

FML04	Multiply two lowest terms fractions <1.  Reducing required.

FML05	Multiply two lowest terms fractions <1.  Reducing required.  One numerator and the other denominator are the same.

FML06	Multiply two lowest terms fractions <1.  Reducing required.  Fractions can be easily simplified before multiplication.

FML07	Multiply a mixed number and a fraction <1.  Reducing required.

FML08	Multiply two mixed numbers.  Reducing required.


FAS16

Do this subtraction.

Sample Problem:

Hint:

Subtract the whole numbers.  The fraction stays the same.

Solution:


FAS17

Add these fractions.

Sample Problem:

Hint:

Add the fractions to get a sum equal to 1.  Then add 1 to the whole number.

Solution:


FAS18

Add these fractions.

Sample Problem:

Hint:

Add the fractions to get a sum equal to 1.  Then add 1 to the whole number.

Solution:


FAS19

Add these mixed numbers.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Add the fractions to get an improper fraction, then add the whole numbers.

Divide the numerator by the denominator to make the improper fraction a mixed number.  Then reduce.

Add the whole numbers.

Solution:


FAS20

Add these mixed numbers.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Add the fractions to get an improper fraction, then add the whole numbers.

Divide the numerator by the denominator to make the improper fraction a mixed number.  Then reduce.

Add the whole numbers.

Solution:


FAS23

Do this subtraction.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the whole number as 1 less, plus a fraction equal to 1.  This fraction should have the same numerator and denominator as the other fraction.

Subtract the fractions.  The whole number stays the same.

Solution:


FAS24

Do this subtraction.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the whole number as 1 less, plus a fraction equal to 1.  This fraction should have the same numerator and denominator as the other fraction.

Subtract the fractions.  The whole number stays the same.

Solution:


FAS25

Do this subtraction.

Sample Problem:

Hint:

Rename the first whole number as 1 less, plus a fraction equal to 1.  This fraction should have the same numerator and denominator as the other fraction.

Subtract the fractions.  Then subtract the whole numbers.

Solution:


FAS26

Do this subtraction.

Sample Problem:

Hint:

Rename the first whole number as 1 less, plus a fraction equal to 1.  This fraction should have the same numerator and denominator as the other fraction.

Subtract the fractions.  Then subtract the whole numbers.

Solution:


FAS27

Rename the first mixed number so that you can subtract.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the first whole number as 1 less, plus a fraction equal to 1.  This fraction should have the same numerator and denominator as the other fraction.  Then add the fractions.

Subtract the fractions and reduce.  Then subtract the whole numbers.

Solution:


FAS28

Rename the first mixed number so that you can subtract.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the first whole number as 1 less, plus a fraction equal to 1.  This fraction should have the same numerator and denominator as the other fraction.  Then add the fractions.

Subtract the fractions and reduce.  Then subtract the whole numbers.

Solution:


FAS29

Find a common denominator then add.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Add the fractions, then reduce.

Solution:


FAS30

Find a common denominator then add.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Add the fractions, then reduce.

Solution:


FAS31

Find a common denominator then add.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Add the fractions, then divide the numerator by the denominator to express the answer as a mixed number.

Solution:


FAS33

Find a common denominator then add.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Add the fractions, and reduce.  Then add the whole numbers.

Solution:


FAS34

Find a common denominator then add.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Add the fractions, and reduce.  Then add the whole numbers.

Solution:


FAS35

Find a common denominator then subtract.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Subtract the fractions.

Solution:


FAS36

Find a common denominator then subtract.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Subtract the fractions.

Solution:


FAS37

Find a common denominator then subtract.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Subtract the fractions.  Then subtract the whole numbers.

Solution:


FAS38

Find a common denominator then subtract.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Subtract the fractions.  Then subtract the whole numbers.

Solution:


FAS39

Rename the first mixed number so you can subtract.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Rename the first whole number as 1 less, plus a fraction equal to 1.  This fraction should have the same numerator and denominator as the other fraction.  Then add the fractions.

Subtract the fractions, then subtract the whole numbers.

Solution:


FAS40

Rename the first mixed number so you can subtract.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Rename the first whole number as 1 less, plus a fraction equal to 1.  This fraction should have the same numerator and denominator as the other fraction.  Then add the fractions.

Subtract the fractions, then subtract the whole numbers.

Solution:


FML02

Find the missing denominator.

Sample Problem:

Hint:

Multiply the whole number by the numerator.  This number divided by the denominator equals the product.

Solution:


FML03

Multiply these fractions.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Multiply the numerators.  Then multiply the denominators and reduce.

Solution:


Decimals: Place Value

DPV01	Convert tenths from a fraction to a decimal.  Numbers < 1.

DPV02	Convert hundredths from a fraction to a decimal.  Numbers < 1.

DPV03	Write fraction in tenths or hundredths as a decimal < 1.

DPV04	Convert a mixed number with tenths or hundredths to a decimal.  Numbers between 1 and 10.

DPV05	Convert tenths or hundredths from a decimal to a fraction < 1.  Numbers < 1.

DPV06	Convert tenths or hundredths > 1 from a decimal to a mixed number.  Numbers between 1 and 10.

DPV07	Convert tenths or hundredths from a decimal to a mixed number.  Number < 1 or from 1 to 10.  Reducing required.

DPV08	Convert decimals from tenths to hundredths and vice versa. Numbers < 10.

DPV11	Show .1 more or less than a decimal in tenths or hundredths.  Numbers < 10.

DPV12	Show the decimal that comes between two numbers.  Tenths or hundredths.  Numbers < 10.

DPV13	Compare (< = >) two decimals with tenths.  Numbers < 10.  Same whole number.

DPV14	Compare (< = >) two decimals, with hundredths.  Numbers < 10.  Same whole number.

DPV15	Compare (< = >) decimals, one tenth and one hundredth.  Numbers < 1.  Tenths are equal.

DPV18	Convert thousandths from a fraction to a decimal.  Numbers < 1.

DPV19	Convert thousandths from a decimal to a fraction.  Numbers < 1.

DPV20	Convert thousandths from a decimal to a fraction.  Numbers < 1.

DPV21	Convert a decimal from tenths or hundredths to thousandths.  Numbers < 1.

DPV22	Write decimals from basic fractions < 1.  Round to nearest hundredth.

DPV23	Write decimals from fractions with the denominator 8.

DPV24	Write decimals from fractions with the denominator 5 or 20.


FML04

Multiply these fractions.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Multiply the numerators.  Then multiply the denominators and reduce.

Solution:


FML05

Cancel common factors then multiply.

Sample Problem:

Hint:

When one numerator equals the other denominator, those two numbers cancel each other out.

Solution:


FML06

Cancel common factors then multiply.

Sample Problem:

Hint:

When a numerator and denominator have common factors, divide each by the same number to reduce.

Reduce again as needed, then multiply.

Solution:


FML07

Multiply these fractions.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the mixed number as an improper fraction.  Multiply the whole number by the denominator, then add the numerator.  Place this number over the denominator.

Reduce and multiply.

Solution:


FML08

Multiply these mixed numbers.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the mixed numbers as improper fractions.  Multiply the whole number by the denominator, then add the numerator.  Place this number over the denominator.

Reduce and multiply.

Put the answer in the form of a mixed number by dividing the numerator by the denominator.

Solution:


Fractions: Division

FDV01	Give the reciprocal of a whole number or fraction.  (Can be improper)

FDV02	Give the reciprocal of a mixed number.

FDV03	Divide two lowest terms fractions <1.  No reducing.  Quotient <1.

FDV04	Divide two lowest terms fractions <1.  Easily reduced.

FDV05	Divide a whole number by a fraction.  Reducing required.

FDV06	Divide a fraction by a whole number.  Reducing required.

FDV07	Divide a mixed number by a fraction.

FDV08	Divide a fraction by a mixed number.  Reducing required.

FDV09	Divide two mixed numbers.  Reducing required.


FDV01

Find the reciprocal of this fraction number.

Sample Problems:

Hint:

Turn a fraction upside down to get the reciprocal.

The reciprocal of a whole number is 1 over that number.

Solution:s


FDV02

Find the reciprocal of this mixed number.

Sample Problem:

Hint:

Rename the mixed number as an improper fraction.  Multiply the whole number by the denominator, then add the numerator.  Place this number over the denominator.

Turn the improper fraction upside down to get the reciprocal.

Solution:


FDV03

Do this division.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Multiply the first fraction by the reciprocal of the second fraction.

Solution:


FDV04

Do this division.  Simplify by canceling common factors.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Multiply the first fraction by the reciprocal of the second fraction.

When one numerator equals the other denominator, those two numbers cancel each other out.

Solution:


FDV05

Do this division.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the whole number as a fraction with a denominator of 1.  Multiply this fraction by the reciprocal of the second fraction.

Put the answer in the form of a mixed number by dividing the numerator by the denominator.

Solution:


FDV06

Do this division.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the whole number as a fraction with a denominator of 1.  Multiply the first fraction by the reciprocal of the second fraction.

Reduce and multiply.

Solution:


FDV07

Do this division.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the mixed number as an improper fraction.  Multiply the whole number by the denominator, then add the numerator.  Place this number over the denominator.

Multiply this improper fraction by the reciprocal of the second fraction.

Put the answer in the form of a mixed number by dividing the numerator by the denominator.

Solution:


FDV08

Do this division.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the mixed number as an improper fraction.  Multiply the whole number by the denominator, then add the numerator.  Place this number over the denominator.

Multiply the first fraction by the reciprocal of the second fraction.

Reduce and multiply.

Solution:


FDV09

Divide these mixed numbers.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Rename the mixed numbers as improper fractions.  Multiply the whole number by the denominator, then add the numerator.  Place this number over the denominator.

Multiply the first fraction by the reciprocal of the second fraction.

Reduce and multiply.

Solution:


DPV01

Change this fraction to a decimal.

Sample Problem:

Hint:

The numerator shows the number of tenths when the denominator equals 10.  Tenths have one digit to the right of the decimal point.

Solution:


DPV02

Change this fraction to a decimal.

Sample Problem:

Hint:

The numerator shows the number of hundredths when the denominator equals 100.  Hundredths have two digits to the right of the decimal point.

Solution:


DPV03

Change this fraction to a decimal.

Sample Problems:

Hint:

The numerator shows the number of tenths when the denominator equals 10 and the number of hundredths when the denominator equals 100.  Tenths have one digit to the right of the decimal point.  Hundredths have two digits to the right of the decimal point.

Solutions:


DPV04

Change this mixed number to a decimal.

Sample Problem:

Hint:

The whole number is placed to the left of the decimal point.  The fraction shows tenths or hundredths, which are placed to the right of the decimal point.  Tenths have one digit to the right of the decimal point.  Hundredths have two digits to the right of the decimal point.

Solution:


DPV05

Change this decimal to a fraction.

Sample Problems:

Hint:

Change the tenths and hundredths to fractions.  Tenths have one digit to the right of the decimal point.  Change tenths to a fraction with a denominator of 10.

Hundredths have two digits to the right of the decimal point.  Change hundredths to a fraction with a denominator of 100.

Solutions:


DPV06

Change this decimal to a mixed number.

Sample Problems:

Hint:

The whole number, left of the decimal, stays the same.  Change the tenths and hundredths to fractions.  Tenths have one digit to the right of the decimal point.  Change tenths to a fraction with a denominator of 10.

Hundredths have two digits to the right of the decimal point.  Change hundredths to a fraction with a denominator of 100.

Solutions:


DPV07

Change this decimal to a mixed number.

Sample Problems:

Hint:

The whole number, left of the decimal, stays the same.  Change the tenths and hundredths to fractions.  Tenths have one digit to the right of the decimal point.  Change tenths to a fraction with a denominator of 10.  Divide the numerator and denominator by the same number to reduce.

Hundredths have two digits to the right of the decimal point.  Change hundredths to a fraction with a denominator of 100.  Divide the numerator and denominator by the same number to reduce.

Solutions:


DPV08

If the number is given in tenths, change it to hundredths.  If the number is given in hundredths, change it to tenths.

Sample Problems:

Hint:

Hundredths have two digits right of the decimal point.  Tenths have one digit right of the decimal point.  Add an extra zero to change tenths to hundredths.

Take off the extra zero to change hundredths to tenths.

Solutions:


DAS02

Add these numbers.

Sample Problem:

Hint:

Add 1 to the tenths.  The tenths are directly to the right of the decimal point.  The whole number stays the same.

Solution:


DPV09

Fill in the missing number.

Sample Problem:

Hint:

The numbers are increasing by tenths.  Add 1 tenth to the number that is just before the missing number.

Solution:


DPV10

Fill in the missing number.

Sample Problem:

Hint:

The numbers are increasing by hundredths.  Add 1 hundredth to the number that is just before the missing number.

Solution:


DPV11

Fill in the missing number.

Sample Problem:

Hint:

The numbers are increasing by tenths.  Add 1 tenth to the number that is just before the missing number.

Solution:


DPV12

Fill in the missing number.

Sample Problems:

Hint:

If the numbers are increasing by tenths.  Add 1 tenth to the number that is just before the missing number.

If the numbers are increasing by hundredths.  Add 1 hundredth to the number that is just before the missing number.

Solutions:


DPV13

Use <,>, or = to compare these numbers.

Sample Problem:

Hint:

When the whole numbers are equal, compare the tenths.

Solution:


DPV14

Use <,>, or = to compare these numbers.

Sample Problems:

Hint:

When the whole numbers are equal, compare the hundredths.

Solution:


DPV15

Use <,>, or = to compare these numbers.

Sample Problems:

Hint:

Think of the tenth as a decimal with zero in the hundredths place.  Then compare the hundredths.

Solutions:


DPV16

Write the sum as a decimal number.

Sample Problem:

Hint:

The whole number is placed to the left of the decimal point.  The fractions shows tenths and hundredths, which are placed to the right of the decimal point.  Tenths have one digit to the right of the decimal point.  Hundredths have two digits to the right of the decimal point.

Solution:


DPV17

Write the sum as a decimal number.

Sample Problem:

Hint:

The whole number is placed to the left of the decimal point.  The tenths and hundredths are placed to the right of the decimal point.  Tenths have one digit to the right of the decimal point.  Hundredths have two digits to the right of the decimal point.

Solution:


DAS01

Add these numbers.

Sample Problem:

Hint:

Add 1 to the tenths.  The tenths are directly to the right of the decimal point.  The whole number stays the same.

Solution:


DPV18

Write this fraction as a decimal.

Sample Problem:

Hint:

The numerator shows the number of thousandths when the denominator equals 1000.  Thousandths have three digits to the right of the decimal point.  Use zeros, as needed to hold the decimal point.

Solution:


DPV19

Write this decimal as a fraction.

Sample Problem:

Hint:

Thousandths have three digits to the right of the decimal point.  Change thousandths to a fraction with a denominator of 1000.

Solution:


DPV20

Write this decimal as a mixed number.  Reduce the fraction to lowest terms.

Sample Problem:

Hint:

The whole number, left of the decimal, stays the same.  Change the thousandths to a fraction with a denominator of 1000.  Divide the numerator and denominator by the same number to reduce.

Solution:


Decimals: Addition and Subtraction

DAS01	Add one tenth to a whole number with tenths.  No renaming.  Numbers < 10.  Vertical.

DAS02	Add one tenth to a whole number with tenths.  No renaming.  Numbers < 10.  Horizontal.

DAS03	Subtract one tenth from a whole number with tenths.  No renaming.  Numbers < 10.  Vertical.

DAS04	Subtract one tenth from a whole number with tenths.  No renaming.  Numbers < 10.  Horizontal.

DAS05	Add tenths to a whole number with tenths.  No renaming.  Numbers < 10.  Vertical.

DAS06	Add tenths to a whole number with tenths.  No renaming.  Numbers < 10.  Horizontal.

DAS07	Subtract tenths from a whole number with tenths.  No renaming.  Numbers < 10.  Vertical.

DAS08	Subtract tenths from a whole number with tenths.  No renaming.  Numbers < 10.  Horizontal.

DAS09	Add a whole number to a whole number with tenths. Numbers < 10.  Answers < 20.  Vertical.

DAS10	Add a whole number to a whole number with tenths. Numbers < 10.  Answers < 20.  Horizontal.

DAS11	Subtract a whole number with tenths from a whole number.  Numbers < 10.  Answers < 1.  Vertical.

DAS12	Subtract a whole number with tenths from a whole number.  Numbers < 10.  Answers < 1.  Horizontal.

DAS13	Add tenths to a whole number with hundredths.  Number < 100.  Horizontal.

DAS14	Add two numbers with tenths and hundredths.  No renaming.  Numbers < 10.  Vertical.

DAS15	Add two numbers with tenths and hundredths.  No renaming.  Numbers < 10.  Horizontal.

DAS16	Subtract two numbers with tenths and hundredths.  No renaming.   Numbers < 10.  Vertical.

DAS17	Subtract two numbers with tenths and hundredths.  Nor renaming.  Numbers < 10.  Horizontal.

DAS18	Add two numbers with decimals up to hundredths, with some only tenths.  No renaming.  Numbers < 10.  Vertical.

DAS19	Subtract two numbers with decimals up to hundredths, with some only tenths.  No renaming.  Numbers < 10.  Horizontal.

DAS20	Add two numbers with decimals up to hundredths, with some only tenths.  If renaming, one time only.  Numbers < 10.  Vertical.

DAS21	Subtract two numbers with decimals up to hundredths, with some only tenths.  If renaming, one time only.  Numbers < 10.  Vertical.


DPV21

Rewrite the given number in thousandths.

Sample Problems:

Hint:

Thousandths have three digits right of the decimal point.  Add extra zeros to change tenths and hundredths to thousandths.

Solutions:


DPV22

Write the fraction as a decimal rounded to the nearest hundredth.

Sample Problems:

Hint:

When the denominator equals 2, 5, or 10, rename the fraction as tenths.  Multiply the numerator and denominator by the same number.

When the denominator equals 4, think of how many fourths (or quarters).   = .25.

Multiply .25 by the number of fourths.

When the denominator equals 3 or 6, think of how many thirds.   = .33.  Multiply .33 by the number of thirds.  Round answer to the nearest hundredth.

Solutions:


DPV23

Write this fraction as a decimal.

Sample Problem:

Hint:

A fraction can be read as a division problem.  Divide the numerator by the denominator.  Divide to the nearest thousandth by adding a decimal and three zeros to the dividend.

Solution:


DPV24

Write this fraction as a decimal.

Sample Problems:

Hint:

Rename the fractions as tenths or hundredths.  When the denominator equals 5, multiply the numerator and denominator by 2 to make tenths.

When the denominator equals 20, multiply the numerator and denominator by 5 to make hundredths.

Solutions:


DDV02

Do this division.

Sample Problem:

Hint:

When the divisor is a whole number, divide the numbers without the decimal.  Then place the decimal in the answer directly above the decimal in the dividend.

Solution:


DAS04

Do this subtraction.

Sample Problem:

Hint:

Subtract 1 from the tenths.  The tenths are directly to the right of the decimal point.  The whole number stays the same.

Solution:


DAS05

Add these numbers.

Sample Problem:

Hint:

Add the tenths.  The tenths are directly to the right of the decimal point.  The whole number stays the same.

Solution:


DAS06

Add these numbers.

Sample Problem:

Hint:

Add the tenths.  The tenths are directly to the right of the decimal point.  The whole number stays the same.

Solution:


DAS07

Do this subtraction.

Sample Problem:

Hint:

Subtract the tenths.  The tenths are directly to the right of the decimal point.  The whole number stays the same.

Solution:


DAS08

Do this subtraction.

Sample Problem:

Hint:

Subtract the tenths.  The tenths are directly to the right of the decimal point.  The whole number stays the same.

Solution:


DAS09

Add these numbers.

Sample Problem:

Hint:

Add the whole numbers.  The tenth stays the same.  Put the decimal point between the whole number and the tenth.

Solution:


DAS10

Add these numbers.

Sample Problem:

Hint:

Add the whole numbers.  The tenth stays the same.  Put the decimal point between the whole number and the tenth.

Solution:


DAS11

Do this subtraction.

Sample Problem:

Hint:

The whole number equals a decimal number with 0 tenths.  Subtract the numbers and place the decimal to the left of the tenths.

Solution:


DML01

Use the arrow keys to show where the decimal point belongs.

Sample Problem:

Hint:

First, count the total number of digits to the right of the decimal point in both of the factors.

Multiply the factors without the decimals.  Then place the decimal point in the product so there are the same number of digits to the right of the decimal as there were in the two factors combined.

Solution:


DAS12

Do this subtraction.

Sample Problem:

Hint:

The whole number equals a decimal number with 0 tenths.  Subtract the numbers and place the decimal to the left of the tenths.

Solution:


DAS13

Add these numbers.

Sample Problem:

Hint:

Add the tenths.  The tenths are directly to the right of the decimal point.  The other numbers stay the same.

Solution:


DAS14

Add these numbers.

Sample Problem:

Hint:

Add from right to left.  First, add the hundredths.  Then add the tenths and the whole numbers.  Place the decimal between the whole number and the tenths.

Solution:


DAS15

Add these numbers.

Sample Problem:

Hint:

Add from right to left.  First, add the hundredths.  Then add the tenths and the whole numbers.  Place the decimal between the whole number and the tenths.

Solution:


DAS16

Do this subtraction.

Sample Problem:

Hint:

Subtract from right to left.  First, subtract the hundredths.  Then subtract the tenths and the whole numbers.  Place the decimal between the whole number and the tenths.

Solution:


Decimals: Multiplication

DML01	Show where the decimal point goes in the product.  Product of a whole number with tenths or hundredths. Numbers < 10.  Answers up to thousandths.  Use arrows to highlight correct decimal point.

DML02	Multiply tenths by a single digit whole number.  Vertical.

DML03	Multiply tenths by a single digit whole number.  Horizontal.

DML04	Multiply hundredths by a single digit whole number.  Tenths = 0.  Vertical.

DML05	Multiply hundredths by a single digit whole number.  Tenths = 0.  Horizontal.

DML06	Multiply thousandths by a single digit whole number.  Tenths and hundredths = 0.  Vertical.

DML07	Multiply thousandths by a single digit whole number.  Tenths and hundredths = 0.  Horizontal.

DML08	Multiply tenths by tenths.  Vertical.

DML09	Multiply tenths by tenths.  Horizontal.

DML10	Multiply hundredths where tenths = 0 by tenths.  Vertical.

DML11	Multiply hundredths where tenths = 0 by tenths.  Horizontal.

DML12	Multiply a number with a decimal up to thousandths by 10, 100 or 1000.  Numbers < 100.  Horizontal.

DML13	Multiply a number with a decimal up to thousandths by 0.1, 0.01 or 0.001.

DML14	Multiply a number with a decimal up to thousandths by .1, .01, .001, 10, 100 or 1000.

DML15	Multiply hundredths where hundredth place = 0 , 5 by a whole number < 5.  Vertical.

DML16	Multiply a decimal up to thousandths by a whole number < 5.  Thousandths place = 0 , 5.  Vertical.


DAS17

Do this subtraction.

Sample Problem:

Hint:

Subtract from right to left.  First, subtract the hundredths.  Then subtract the tenths and the whole numbers.  Place the decimal between the whole number and the tenths.

Solution:


DAS18

Add these numbers.

Sample Problem:

Hint:

If one number has only tenths, rename it as a decimal number with 0 hundredths.  Add from right to left.  First, add the hundredths.  Then add the tenths and the whole numbers.  Place the decimal between the whole number and the tenths.

Solution:


DAS19

Do this subtraction.

Sample Problem:

Hint:

If one number has only tenths, rename it as a decimal number with 0 hundredths.  Subtract from right to left.  First, subtract the hundredths.  Then subtract the tenths and the whole numbers.  Place the decimal between the whole number and the tenths.

Solution:


DAS20

Add these numbers.

Sample Problem:

Hint:

If one number has only tenths, rename it as a decimal number with 0 hundredths.

Add from right to left.  First, add the hundredths.  Then add the tenths and the whole numbers.  Place the decimal between the whole number and the tenths.

Solution:


DAS21

Do this subtraction.

Sample Problem:

Hint:

If one number has only tenths, rename it as a decimal number with 0 hundredths.

Subtract from right to left, renaming if necessary.  First, subtract the hundredths.  Then subtract the tenths and then the whole numbers.  Place the decimal between the whole number and the tenths.

Solution:


DML03

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the zero.  The zero is a place holder for the decimal.  When 1 factor is a tenth and the other is a whole number, the factors have a total of 1 digit right of the decimal point.  The product will also have 1 digit right of the decimal point.

Solution:


DML04

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the zero.  The zero is a place holder for the decimal.  When 1 factor is a hundredth and the other is a whole number, the factors have a total of 2 digits right of the decimal point.  The product will also have 2 digits right of the decimal point.

Solution:


DML05

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the zero.  The zero is a place holder for the decimal.  When 1 factor is a hundredth and the other is a whole number, the factors have a total of 2 digits right of the decimal point.  The product will also have 2 digits right of the decimal point.

Solution:


DML06

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the zero.  The zero is a place holder for the decimal.  When 1 factor is a thousandth and the other is a whole number, the factors have a total of 3 digits right of the decimal point.  The product will also have 3 digits right of the decimal point.

Solution:


DML07

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the zero.  The zero is a place holder for the decimal.  When 1 factor is a thousandth and the other is a whole number, the factors have a total of 3 digits right of the decimal point.  The product will also have 3 digits right of the decimal point.

Solution:


DML08

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the zero.  The zero is a place holder for the decimal.  When both factors are tenths, the factors have a total of 2 digits right of the decimal point.  The product will also have 2 digits right of the decimal point.

Solution:


DML09

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the zero.  The zero is a place holder for the decimal.  When both factors are tenths, the factors have a total of 2 digits right of the decimal point.  The product will also have 2 digits right of the decimal point.

Solution:


DDV01

Do this division.

Sample Problem:

Hint:

 When the divisor is a whole number, divide the numbers without the decimal.  Then place the decimal in the answer directly above the decimal in the dividend.

Solution:


DML10

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the zero.  The zero is a place holder for the decimal.  When 1 factor is a hundredth and the other is a tenth, the factors have a total of 3 digits right of the decimal point.  The product will also have 3 digits right of the decimal point.

Solution:


DML11

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the zero.  The zero is a place holder for the decimal.  When 1 factor is a hundredth and the other is a tenth, the factors have a total of 3 digits right of the decimal point.  The product will also have 3 digits right of the decimal point.

Solution:


DML12

Multiply these numbers.

Sample Problems:

Hint:

Multiplying by 10, 100 or 1000 doesn't change the numbers, it only changes the decimal place.  Move the decimal point to the right the same number of digits as there are zeros in the factor.  Add zeros, as needed, to hold the decimal place.

Solutions:


Decimals: Division

DDV01	Divide a number < 10 with tenths by a one digit whole number.  No renaming.

DDV02	Divide a number < 10 with hundredths by a one digit whole number.  No renaming.  Each digit divides evenly

DDV03	Divide a number < 1 in hundredths by a one digit whole number.

DDV04	Divide a number < 10 with tenths by tenths.  Each digit goes evenly.

DDV05	Divide tenths into a one digit whole number.  No remainder.

DDV06	Divide hundredths where tenth = 0 into hundredths.  Divides evenly.

DDV07	Divide hundredths where tenth = 0 into number < 10.  Number divides in evenly.

DDV08	Divide hundredth where tenth = 0 into one digit whole number.  No remainder.

DDV09	Divide hundredth where tenth = 0 into a whole number < 100.  Number divides in evenly.

DDV10	Divide a number < 1 with thousandths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV11	Divide a number < 1 with hundredths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV12	Divide a number < 100 with tenths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV13	Divide a whole number < 10 by thousandths.  Hundredth and tenth = 0 in divisor.  Divides evenly.

DDV14	Divide a whole number < 100 by thousandth.  Hundredth and tenth = 0 in divisor.  Divides evenly.

DDV15	Divide a whole number < 1000 by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV16	Divide a number by 10, 100, or 1000.  Numbers < 100 with decimals up to hundredths.

DDV17	Divide a number by .1, .01, .001.  Number < 100 with decimals up to hundredths.

DDV18	Divide a number by .1, .01, .001, 10, 100, or 1000.  Numbers < 100 with decimals up to hundredths.


DML13

Multiply these numbers.

Sample Problems:

Hint:

Multiplying by .1, .01 or .001 doesn't change the numbers, it only changes the decimal place.  Move the decimal point to the left the same number of digits as there are digits right of the decimal in the factor.  Add zeros, as needed to hold the decimal place.

Solutions:


DML14

Multiply these numbers.

Sample Problems:

Hint:

Multiplying by .1, .01, .001, 10, 100 or 1000 doesn't change the numbers, it only changes the decimal place.  When the factor is less than 1, move the decimal point to the left the same number of digits as there are digits right of the decimal in the factor.  Add zeros, as needed to hold the decimal place.

If the factor is greater than 1, move the decimal point to the right the same number of digits as there are zeros in the factor.  Add zeros, as needed, to hold the decimal place.

Solutions:


DML15

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the decimals.  When 1 factor is a hundredth and the other is a whole number, the factors have a total of 2 digits right of the decimal point.  The product will also have 2 digits right of the decimal point.

Solution:


DML16

Multiply these numbers.

Sample Problem:

Hint:

Multiply the factors without the decimals.  When 1 factor is a thousandth and the other is a whole number, the factors have a total of 3 digits right of the decimal point.  The product will also have 3 digits right of the decimal point.

Solution:


DDV03

Do this division.

Sample Problem:

Hint:

When the divisor is a whole number, divide the numbers without the decimal.  Then place the decimal in the answer directly above the decimal in the dividend.  Use a zero to hold the decimal place.

Solution:


DDV04

Do this division.

Sample Problem:

Hint:

When dividing by tenths, move the decimal point one digit to the right in both the divisor and the dividend.  Then divide.

Solution:


PCT02

Change the percent to a decimal or the decimal to a percent.

Sample Problems:

Hint:

The percent equals the number of hundredths.  Hundredths have two digits to the right of the decimal point.

Solutions:


DDV05

Do this division.

Sample Problem:

Hint:

When dividing by tenths, move the decimal point one digit to the right in both the divisor and the dividend.  Add a zero to hold the decimal point.  Then divide.

Solution:


DDV06

Do this division.

Sample Problem:

Hint:

When dividing by hundredths, move the decimal point two digits to the right in both the divisor and the dividend.  Then divide.

Solution:


DDV07

Do this division.

Sample Problem:

Hint:

When dividing by hundredths, move the decimal point two digits to the right in both the divisor and the dividend.  Add a zero to hold the decimal point.  Then divide.

Solution:


DDV08

Do this division.

Sample Problem:

Hint:

When dividing by hundredths, move the decimal point two digits to the right in both the divisor and the dividend.  Add zeros to hold the decimal point.  Then divide.

Solution:


DDV09

Do this division.

Sample Problem:

Hint:

When dividing by hundredths, move the decimal point two digits to the right in both the divisor and the dividend.  Add zeros to hold the decimal point.  Then divide.

Solution:


DDV10

Do this division.

Sample Problem:

Hint:

When dividing by thousandths, move the decimal point three digits to the right in both the divisor and the dividend.  Then divide.

Solution:


DDV11

Do this division.

Sample Problem:

Hint:

When dividing by thousandths, move the decimal point three digits to the right in both the divisor and the dividend.  Add zeros to hold the decimal point.  Then divide.

Solution:


DDV12

Do this division.

Sample Problem:

Hint:

When dividing by thousandths, move the decimal point three digits to the right in both the divisor and the dividend.  Add zeros to hold the decimal point.  Then divide.

Solution:


PCT01

Write this ratio as a percent.

Sample Problem:

Hint:

The percent equals the number out of 100.

Solution:


DDV13

Do this division.

Sample Problem:

Hint:

When dividing by thousandths, move the decimal point three digits to the right in both the divisor and the dividend.  Add zeros to hold the decimal point.  Then divide.

Solution:


DDV14

Do this division.

Sample Problem:

Hint:

When dividing by thousandths, move the decimal point three digits to the right in both the divisor and the dividend.  Add zeros to hold the decimal point.  Then divide.

Solution:


DDV15

Do this division.

Sample Problem:

Hint:

When dividing by thousandths, move the decimal point three digits to the right in both the divisor and the dividend.  Add zeros to hold the decimal point.  Then divide.

Solution:


Percents

PCT01	Convert a written expression to a percent.  Numbers [image] 100.

PCT02	Convert a decimal to a percent and vice versa.  Numbers .01 .. 1.00.

PCT03	Convert a fraction with denominator 100 to a percent and vice versa.  Numbers [image] 100.  Denominators = 100.

PCT04	Write a whole number as a percent.  Numbers 0..10.

PCT05	Convert a fraction to a percent.  Numbers in thousandths or denominator = 100 then numerator is between 101 and 999.

PCT06	Compare fractions, decimals, and percents.  Numbers are multiples of 5.

PCT07	Show equivalent fractions, decimals and percents.  Denominator = 100.  Show all three, fill in one missing.  Numbers to 100.

PCT08	Reduce a fraction with denominator 100 to lowest form.  X = 10, 20, 25, 33 1/3, 50, 66 2/3, 75.

PCT09	Convert a common fraction to a percent.  Round to the nearest percent.

PCT10	Convert tenths to a percent.  x = 0..10. n=10x.

PCT11	Convert fifths to a percent.  x = 0..5.  n = 20x.

PCT12	Convert percent into lowest term fraction.  Variable x is a multiple of 5 or 20.

PCT13	Find 10% of a whole number.  W = multiples of 10:  10 .. 500.

PCT14	Find 1% of a whole number.  W = whole numbers: 1 .. 500.

PCT15	Find the percent of a whole number.  X = 10, 25, 50, 75, 100.  n = whole number:  1 .. 20.


DDV16

Do this division.

Sample Problems:

Hint:

Dividing by 10, 100 or 1000 doesn't change the numbers, it only changes the decimal place.  Move the decimal point to the left the same number of digits as there are zeros in the factor.  Add zeros, as needed, to hold the decimal place.

Solutions:


DDV17

Do this division.

Sample Problems:

Hint:

Dividing by .1, .01 or .001 doesn't change the numbers, it only changes the decimal place.  Move the decimal point to the right the same number of digits as there are digits right of the decimal in the factor.  Add zeros, as needed to hold the decimal place.

Solutions:


DDV18

Do this division.

Sample Problems:

Hint:

Dividing by .1, .01, .001, 10, 100 or 1000 doesn't change the numbers, it only changes the decimal place.  When the factor is less than 1, move the decimal point to the right the same number of digits as there are digits right of the decimal in the factor.  Add zeros, as needed to hold the decimal place.

If the factor is greater than 1, move the decimal point to the left the same number of digits as there are zeros in the factor.  Add zeros, as needed, to hold the decimal place.

Solutions:


PCT03

Change the fraction to a percent or the percent to a fraction.

Sample Problems:

Hint:

The percent equals the number of hundredths, so the percent equals the numerator of a fraction when the denominator is 100.

Solutions:


PCT04

Write this whole number as a percent.

Sample Problems:

Hint:

Multiply a whole number by 100 to express it as a percent.

Solutions:


PCT05

Change this fraction to a percent.

Sample Problems:

Hint:

The percent equals the number of hundredths, so the percent equals the numerator of a fration when the denominator equals 100.

When the denominator equals 1000, convert the fration to hundredths by dividing the numerator and denominator by 10.

Solutions:


PCT06

Use <,>,or = to compare these numbers.

Sample Problems:

Hint:

The percent equals the number of hundredths.  Compare the number of hundredths.

Solutions:


PCT07

Fill in the missing numbers.

Sample Problem:

Hint:

The percent equals the number of hundredths.

Solution:


PCT08

Rewrite this fraction in its simplest form.

Sample Problems:

Hint:

Reduce the fraction to lowest terms by dividing the numerator and denominator by the same number.  Use the largest number you can.

When the denominator equals [image] or [image], divide the numerator and denominator by [image].  The new denominator will equal 3.  The numerator will equal 1 or 2.

Solutions:


PCT09

Change this fraction to a percent.  Round your answer to the nearest whole percent.

Sample Problems:

Hint:

The percent equals the number of hundredths, so the percent equals the numerator of a fration when the denominator equals 100.  Convert the fration to hundredths by multiplying the numerator and denominator by the same number.

When the denominator equals 3, multiply the numerator and denominator by [image].  Round to the nearest percent.

Solutions:


PCT10

Change this fraction to a percent.

Sample Problem:

Hint:

When the denominator equals 10, convert the fration to hundredths by multiplying the numerator and denominator by 10.

Solution:


PCT11

Change this fraction to a percent.

Sample Problem:

Hint:

When the denominator equals 5, convert the fration to hundredths by multipying the numerator and denominator by 20.

Solution:


PCT12

Change this percent to a fraction reduced to lowest terms.

Sample Problem:

Hint:

Rename the percent as a fraction with a denominator of 100.  Reduce this fraction to lowest terms by dividing the numerator and denominator by the same number (5 or 20).

Solution:


PCT13

Find 10% of the given number.

Sample Problem:

Hint:

10% of any number equals that number divided by 10..

Solution:


PCT14

Find 1% of the given number.

Sample Problem:

Hint:

1% of any number equals that number divided by 100.  Express answers in decimal form by moving the decimal two places to the left.

Solution:


PCT15

Multiply to find the given percent.

Sample Problem:

Hint:

100% of any number equals that number.

10% of any number equals that number times [image].

25% of any number equals that number times [image].

50% of any number equals that number times [image].

75% of any number equals that number times [image].

Solution:


Review  Fractions: Division 09R3
Review   Fractions: Division

Mixed practice adding, subtracting, multiplying and dividing fractions and mixed numbers.

FAS30	Add two fractions < 1.  One fraction is easily reduced.  Sum < 1.  Horizontal.

FAS32	Add two fractions < 1.  One fraction is easily reduced.  Sum > 1.  Horizontal.

FAS34	Add two mixed numbers.  One fraction is easily reduced. No renaming or reducing required.  Horizontal.

FAS38	Subtract two mixed numbers.  One fraction is easily reduced. No renaming or reducing required.  Horizontal.

FAS40	Subtract two mixed numbers.  One fraction is easily reduced.  Renaming and reducing required.  Horizontal.

FML06	Multiply two lowest terms fractions < 1.  Reducing required.  Fractions can be easily simplified before multiplication.

FML08	Multiply two mixed numbers.  Reducing required.

FDV07	Divide a mixed number by a fraction.  Reducing required.

FDV08	Divide a fraction by a mixed number.  Reducing required.

FDV09	Divide two mixed numbers.  Reducing required.


Review   Fractions: Equivalents

Use both multiplication and division to make equivalent fractions.

FEQ02	Identify the multiplier in making an equivalent fraction < 1.

FEQ04	Identify the divisor in making an equivalent fraction < 1.


Review   Fractions: Equivalent

Rename whole numbers to improper fractions and mixed numbers.

FEQ06	Idendify whole number values of fractions.

FEQ07	Write whole number as a mixed number, or vice versa.


Review   Fractions: Lowest Terms

Use both multiplication and division to make equivalent fractions.

FEQ02	Identify the multiplier in making an equivalent fraction < 1.

FEQ04	Identify the divisor in making an equivalent fraction < 1.


Review   Fractions:  Lowest Terms

Find common denominators for numbers that are relativelty prime, multiples of one another, or share a single factor.

FLT06	Name a common denominator of two lowest terms fractions < 1.  Denominators are relatively prime.

FLT07	Name a common denominator of two lowest term fractions < 1.  One denominator is a multiple of the other.

FLT08	Name a common denominator of two lowest term fractions < 1.  Denominators share one factor.


Review   Fractions: Comparing

Compare two fractions whose denominators may

FCM01	Compare two fractions < 1 with common denominators.

FCM02	Compare two fractions < 1 with differentdenominators.


Review   Fractions: Comparing

Compare fractions and mixed numbers -- renaming not required.

FCM01	Comapre two fractions < 1 with a common denominators.

FCM02	Compare two fractions < 1 with different denominators.

FCM03	Compare two proper mixed numbers with common denominator.

FCM04	Compare two proper mixed numbers with the same whole number.


Review    Fractions: Comparing

Compare fractions and mixed numbers -- renaming required.

FCM06	Compare two fractions < 1.

FCM07	Compare two proper mixed numbers with different denominators.


Review  Fractions:Comparing

Compare all kinds of fractions and mixed numbers.

FCM01	Compare two fractions < 1 with common denominators.

FCM02	Compare two fractions < 1 with different denominators.

FCM03	Compare two proper mixed numbers with common denominators.

FCM04	Compare two proper mixed numbers with the same whole number.

FCM06	Compare two fractions < 1.

FCM07	Compare two proper mixed numbers with different denominators.


Review   Fractions: Improper and Mixed Numbers

Rename improper fractions as mixed numbers and mixed numbers as improper fractions.

FMX03	Write an improper fraction as a whole or a mixed number.

FMX04	Write a proper mixed number as an improper fraction.

FMX05	Rename a mixed proper fraction to a mixed improper fraction.


Review    Fractions: Addition and Subtraction

Add fractions horizontally.  Reducing may or may not be required.

FAS01	Add two fractions < 1 with common denominator and sum < 1.  Reducing not required.  Horizontal.

FAS03	Add two fractions < 1 with common denominator and sum < 1.  Reducing required.  Horizontal.


Fractions: Addition and Subtraction

FAS01	Add two fractions < 1 with common denominators and sum < 1. Reducing not required.  Horizontal.

FAS02	Add two fractions < 1 with common denominators and sum < 1. Reducing not required.  Vertical.

FAS03	Add two fractions < 1 with common denominators and sum < 1. Reducing required.  Horizontal.

FAS04	Add two fractions < 1 with common denominators and sum < 1. Reducing required.  Vertical.

FAS05	Subtract two fractions < 1 with common denominators and sum < 1.  Reducing not required.  Horizontal.

FAS06	Subtract two fractions < 1 with common denominators and sum < 1.  Reducing not required.  Vertical.

FAS07	Subtract two fractions < 1 with common denominators and sum < 1.  Reducing required.  Horizontal.

FAS08	Subtract two fractions < 1 with common denominators and sum < 1.  Reducing required.  Vertical.

FAS09	Add to fration < 1 with common denominators and sum > 1.  Reducing required.  Horizontal.

FAS10	Add to fration < 1 with common denominators and sum > 1.  Reducing required.  Vertical.

FAS11	Add two mixed numbers with common denominators.  Reducing required.  Fraction sum < 1.  Horizontal.

FAS12	Add two mixed numbers with common denominators.  Reducing required.  Fraction sum < 1.  Vertical.

FAS13	Subtract two mixed numbers with common denominators.  Reducing required.  Nor renaming.  Horizontal.

FAS14	Subtract two mixed numbers with common denominators.  Reducing required.  Nor renaming.  Vertical.

FAS15	Subtract a whole number from a mixed number.  Horizontal.

FAS16	Subtract a whole number from a mixed number.  Vertical.

FAS17	Add a mixed number and a fraction < 1 where the answer is a whole number.  Horizontal.

FAS18	Add a mixed number and a fraction < 1 where the answer is a whole number.  Vertical.

FAS19	Add mixed numbers with common denominators.   Renaming and reducing required.  Horizontal.

FAS20	Add mixed numbers with common denominators.   Renaming and reducing required.  Vertical.

FAS21	Subtract a fraction < 1 from 1.  Reducing required.  Vertical.

FAS22	Subtract a fraction < 1 from 1.  Reducing required.  Horizontal.

FAS23	Subtract a fraction < 1 from a whole number.  Reducing required.  Vertical.

FAS24	Subtract a fraction < 1 from a whole number.  Reducing required.  Horizontal.

FAS25	Subtract a mixed number from a whole number.  Lowest terms.  Vertical.

FAS26	Subtract a mixed number from a whole number.  Lowest terms.    Horizontal.

FAS27	Subtract two mixed numbers with common denominators.  Renaming and reducing required.  Horizontal.

FAS28	Subtract two mixed numbers with common denominators.  Renaming and reducing required.  Vertical.

FAS29	Add two fractions < 1.  One fraction is easily reduced.  Sum < 1.  Vertical.

FAS30	Add two fractions < 1.  One fraction is easily reduced.  Sum < 1.  Horizontal.

FAS31	Add two fractions < 1.  One fraction is easily reduced.  Sum > 1.  Vertical.

FAS32	Add two fractions < 1.  One fraction is easily reduced.  Sum > 1.  Horizontal.

FAS33	Add two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.  Vertical.

FAS34	Add two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.   Horizontal.

FAS35	Subtract two fractions < 1 with one denominator a multiple of the other.  No renaming.  Reducing required.  Vertical.

FAS36	Subtract two fractions < 1 with one denominator a multiple of the other.  No renaming.  Reducing required.  Horizontal.

FAS37	Subtract two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.  Vertical.

FAS38	Subtract two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.  Horizontal.

FAS39	Subtract two mixed numbers.  One fraction is easily reduced.  Renaming and reducing required.  Vertical.

FAS40	Subtract two mixed numbers.  One fraction is easily reduced.  Renaming and reducing required.   Horizontal.


Review   Fractions: Addition and Subtraction

Subtract fractions horizontally.  Reducing may or may not be required.

FAS05	Subtract two fractions < 1 with common denominators and sum < 1.  Reducing not required.  Horizontal.

FAS07	Subtract two fractions < 1 with common denominators and sum < 1.  Reducing required.  Horizontal.


Review   Fractions: Addition and Subtraction

Add horizontally fractions that may or may not require renaming and reducing.

FAS01	Add two fractions < 1 with a common denominator and sum < 1.  Reducing not required.  Horizontal.

FAS03	Add two fractions < 1 with a common denominator and sum < 1.  Reducing required.  Horizontal.

FAS09	Add two fractions < 1 with a common denominator and sum > 1.  Reducing required.  Horizontal.


Review   Fractions:Addition and Subtraction

Add and subtract mixed number with common denominators.  Problems presented vertically.  Reducing is required.

FAS12	Add two mixed numbers with common denominators.  Reducing required.  Vertical.

FAS14	Subtract two mixed numberd with common denominators.  Reducing required.  No renaming.  Vertical.


Review Review    Fractions:  Addition and Subtraction
Review    Fractions:  Addition and Subtraction

Add and subtract whole or mixed numbers from mixed numbers.

FAS12	Add two mixed numbers with common denominators.  Fraction sum < 1.  Reducing required.  Vertical.

FAS14	Subtract two mixed numbers with common denominators.  Reducing required.  No renaming. Vertical.

FAS16	Subtract whole number from mixed number.  Vertical.


Review  Addition  and Subtraction
Review    Fractions: Addition and Subtraction

Add and subtract mixed numbers or fractions.  Reducing required.  Some renaming required.  Vertical formats.

FAS08	Subtract two fractions < 1 with common denominators and sum < 1.  Reducing required.  Vertical.

FAS10	Add two fractions < 1 with common denominator and sum > 1.  Reducing required.  Vertical.

FAS14	Subtract two mixed numbers with common denominators.  No renaming.  Reducing required.  Vertical.

FAS20	Add mixed numbers with common denominators.  Renaming and reducing required.  Vertical.


Review  Fractions:  Addition and Subtraction

Subtract mixed numbers from whole or mixed numbers.  Reducing and renaming required.  Vertical.

FAS25	Subtract a mixed number from a whole number.  Lowest terms.  Vertical.

FAS28	Subtract two mixed numbers with a common denominator.


Review  Decimals: Place Value 04R1
Review  Decimals: Place Value

Write fractions and mixed numbers as decimals.

DPV03	Write a fraction in tenths or hundredths as a decimal < 1.

DPV04	Convert a mixed number with tenths or hundredths to a decimal.  Numbers between 1 and 10.


Review   Fractions: Division 09R2
Review   Fractions: Division

Mixed practice with multiplication and division of fractions and mixed numbers.

FML06	Multiply two lowest terms fractions < 1.  Reducing required.  Fractions can be easily simplified before multiplication.

FML07	Multiply a mixed number and a fraction < 1.  Reducing required.

FML08	Multiply two mixed numbers.  Reducing required.

FDV03	Divide two lowest terms fractions < 1.  No reducing.  Quotient < 1.

FDV04	Divide two lowest terms fractions < 1.  Easily reduced.

FDV07	Divide a mixed number by a fraction.  Reducing required.

FDV08	Divide a fraction by a mixed number.  Reducing required.

FDV09	Divide two mixed numbers.  Reducing required.


Review     Fractions: Addition and Subtraction


Review   Fractions: Addit and Subtract
Review    Fractions: Addition and Subtraction

Add fractions with different denominators.  Sums either greater or less than 1.  Vertical formats.

FAS29	Add two fraction < 1.  One fraction is easily reduced.  Sum < 1.  Vertical.

FAS31	Add two fractions < 1.  One fraction is easily reduced.  Sum > 1.  Vertical.


Review   Fractions: Addition and Subtraction 34R1
Review     Fractions: Addition and Subtraction

Add fraction or mixed numbers with different denominators.  Reducing required.  Vertical formats.

FAS29	Add two fractions < 1.  One fraction is easily reduced.  Sum < 1.  Vertical.

FAS31	Add two fractions < 1.  One fraction is easily reduced.  Sum > 1.  Vertical.

FAS33	Add two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.  Vertical.


Review  Fractions: Addition and Subtraction  40R1
Review    Fractions: Addition and Subtraction

Subtract fractions and mixed numbers.  Reducing required. Some renaming required.  Vertical and horizontal formats.

FAS36	Subtract two fractions < 1 with one denominator a multiple of the other.  Reducing required.  No renaming.  Horizontal.

FAS37	Subtract two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.   Vertical.

FAS38	Subtract two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.  Horizontal.

FAS39	Subtract two mixed numbers.  One fraction is easily reduced.  Renaming and reducing required.  Vertical.

FAS40	Subtract two mixed numbers.  One fraction is easily reduced.  Renaming and reducing required.  Horizontal.


Review   Fractions: Division 09R1
Review   Fractions: Division

Mixed practice dividing fractions and mixed numbers of all kinds.  Reducing required.

FDV05	Divide a whole number by a fraction.  Reducing required.

FDV06	Divide a fraction by a whole number.  Reducing required.

FDV07	Divide a mixed number by a fraction.  Reducing required.

FDV08	Divide a fraction by a mixed number.  Reducing required.

FDV09	Divide two mixed numbers.  Reducing required.


Review   Fractions: Division 06R1
Review    Fractions: Division

Divide a whole number by a fraction or a fraction by a whole number.  Reducing required.

FDV05	Divide a whole number by a fraction.  Reducing required.

FDV06	Divide a fraction by a whole number.  Reducing required.


FAS32

Find a common denominator then add.  Reduce your answer to lowest terms.

Sample Problem:

Hint:

Since the first denominator is a factor of the other, use the larger denominator as the common denominator.  Multiply to rename the first fraction.

.

Add the fractions, then divide the numerator by the denominator to express the answer as a mixed number.

Solution:


Review   Fractions:  Division  04R1
Review   Fractions:  Division

Divide fractions.  No reducing or easily reduced.

FDV03	Divide two lowest terms fractions < 1.  No reducing.  Quotient < 1.

FDV04	Divide two lowest terms fractions < 1.  Easily reduced.


Review   Fractions:  Addition and Subtraction  40R2
Review   Fractions:  Addition and Subtraction

Add and subtract mixed numbers.  Some renaming and reducing required.  Different denominators.  Vertical and horizontal formats.

FAS33	Add two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.  Vertical.

FAS34	Add two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.  Horiozontal.

FAS37	Subtract two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.  Vertical.

FAS38	Subtract two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.  Horizontal.

FAS39	Subtract two mixed numbers.  One fraction is easily reduced.  Renaming and reducing required.  Vertical.

FAS40	Subtract two mixed numbers.  One fraction is easily reduced.  Renaming and reducing required.  Horizontal.


Review   Fractions:  Addition and Subtract  40R3
Review    Fractions:  Addition and Subtraction

Mixed practice with all kinds of addition and subtraction problems.  Some renaming and reducing required.  Denominators may or may not be the same.  Formats are mixed.

FAS19	Add mixed numbers with common denominators.  Renaming and reducing required.  Horizontal.

FAS20	Add mixed numbers with common denominators.  Renaming and reducing required.  Vertical.

FAS25	Subtract a mixed number from a whole number.  Lowest terms.  Vertical.

FAS26	Subtract a mixed number from a whole number.  Lowest terms.  Horizontal.

FAS27	Subtract two mixed numbers with common denominators.  Renaming and reducing required.  Horizontal.

FAS28	Subtract two mixed numbers with common denominators.  Renaming and reducing required.  Vertical.

FAS31	Add two fractions < 1.  One fraction is easily reduced.  Sum > 1.  Vertical.

FAS32	Add two fractions < 1.  One fraction is easily reduced.  Sum > 1.  Horizontal.

FAS33	Add two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.  Vertical.

FAS34	Add two mixed numbers.  One fraction is easily reduced.  No renaming or reducing required.  Horizontal.

FAS39	Subtract two mixed numbers.  One fraction is easily reduced.  Renaming and reducing required.  Vertical.

FAS40	Subtract two mixed numbers.  One fraction is easily reduced.  Renaming and reducing required.  Horizontal.


Review  Fractions: Multiplication 06R1
Review    Fractions: Multiplication

Multiply all kinds of fractions.  Reducing required.

FML04	Multiply two lowest terms fractions < 1.  Reducing required.

FML05	Multiply two lowest terms fractions < 1.  Reducing required.  One numerator and the other denominator are the same.

FML06	Multiply two lowest terms fractions < 1.  Reducing required.  Fractions can be easily simplified before multiplication.


Review  Fractions: Multiplication  08R1
Review   Fractions: Multiplication

Multiply a mixed number by another mixed number or a fraction.  Reducing required.

FML07	Multiply a mixed number and a fraction < 1.  Reducing required.

FML08	Multiply two mixed numbers.  Reducing required.


Review   Fractions: Multiplication  08R2
Review   Fractions: Multiplication

 Mixed practice multiplying fractions and mixed numbers.  Reducing required.

FML04	Multiply two lowest terms fractions < 1.  Reducing required.

FML05	Multiply two lowest terms fractions < 1.  Reducing required.  One numerator and the other denominator are the same.

FML06	Multiply two lowest terms fractions < 1.  Reducing required.  Fractions can be easily simplified before multiplication.

FML07	Multiply a mixed number and a fraction < 1.  Reducing required.

FML08	Multiply two mixed numbers.  Reducing required.


Review   Decimals: Place Value 07R1
Review   Decimals: Place Value

Convert fractions to decimals and decimals to fractions.  Reducing required.

DPV03	Write a fraction in tenths or hundredths as a decimal < 1.

DPV04	Convert a mixed number with tenths or hundredths to a decimal.  Numbers between 1 and 10.

DPV07	Convert tenths or hundredths from a decimal to a mixed number.  Reducing required.  Numbers < 1 or from 1 to 10.


Review  Decimals: Place Value 15R1
Review  Decimals: Place Value

Convert fractions with tenths and hundredths to decimals.

DPV03	Write a fraction in tenths or hundredths as a decimal < 1.

DPV04	Convert a mixed number with tenths or hundredths to a decimal.  Numbers between 1 and 10.


Review   Decimals: Place Value 24R1
Review   Decimals: Place Value

Write fractions with denominators 5, 8, and 20 as decimals.

DPV23	Write decimals from fractions with denominator 8.

DPV24	Write decimals from fractions with denominator 5 or 20.


Review   Decimals: Place Value 24R2
Review   Decimals: Place Value

Write common fractions as decimals.

DPV22	Write decimals from basic fractions < 1.  Round to the nearest hundredth.


Review   Decimals: Addition and Subtraction 08R1
Review   Decimals: Addition and Subtraction

Add and subtract tenths from numbers with tenths.  No renaming.  Vertical and horizontal formats.

DAS05	Add tenths to a whole number with tenths.  No renaming.  Numbers < 10.  Vertical.

DAS06	Add tenths to a whole number with tenths.  No renaming.  Numbers < 10.  Horizontal.

DAS07	Subtract tenths from a whole number with tenths.  No renaming.  Numbers < 10.  Vertical.

DAS08	Subtract tenths from a whole number with tenths.  No renaming.  Numbers < 10.  Horizontal.


Review   Decimals: Addition and Subtraction 12R1
Review   Decimals: Addition and Subtraction

Add and subtract whole numbers and decimals with tenths.  Vertical and horizontal formats.

DAS09	Add a whole number to a whole number with tenths.  Numbers < 10, answers < 20.  Vertical.

DAS10	Add a whole number to a whole number with tenths.  Numbers < 10, answers < 20.  Horizontal.

DAS11	Subtract a whole number with tenths from a whole number.  Numbers < 10, answers < 1.  Vertical.

DAS12	Subtract a whole number with tenths from a whole number.  Numbers < 10, answers < 1.  Horizontal.


Review   Decimals: Addition and Subtraction 12R2

Add and subtract tenths or whole numbers from decimals with tenths or whole numbers.  Vertical and horizontal formats.

DAS05	Add tenths to a whole number with tenths.  No renaming.  Numbers < 10.  Vertical.

DAS06	Add tenths to a whole number with tenths.  No renaming.  Numbers < 10.  Horizontal.

DAS07	Subtract tenths from a whole number with tenths.  No renaming.  Numbers < 10.  Vertical.

DAS08	Subtract tenths from a whole number with tenths.  No renaming.  Numbers < 10.  Horizontal.

DAS09	Add a whole number to a whole number with tenths.  Numbers < 10, answers < 20.  Vertical.

DAS10	Add a whole number to a whole number with tenths.  Numbers < 10, answers < 20.  Horizontal.

DAS11	Subtract a whole number with tenths from a whole number.  Numbers < 10, answers < 1.  Vertical.

DAS12	Subtract a whole number with tenths from a whole number.  Numbers < 10, answers < 1.  Horizontal.


Review   Decimals: Addition and Subtraction 17R1
Review   Decimals:  Addition and Subtraction

Add and subtract decimals with tenths or hundredths.  No renaming.  Vertical and horizontal formats.

DAS13	Add tenths to a whole number with hundredths. Numbers < 100.  Horizontal.

DAS14	Add two numbers with tenths and hundredths.  No renaming.  Numbers < 10.  Vertical.

DAS15	Add two numbers with tenths and hundredths.  No renaming.  Numbers < 10.  Horinzontal.

DAS16	Subtract two numbers with tenths and hundredths.  No renaming.  Numbers < 10.  Vertical.

DAS17	Subtract two numbers with tenths and hundredths.  No renaming.  Numbers < 10. Horizontal.


Review   Decimals: Addition and Subtraction 19R1
Review   Decimals: Addition and Subtraction

Add and subtract numbers with decimals up to hundredths.  No renaming.  Horizontal format

DAS18	Add two numbers with decimals up to hundredths, some only tenths.  Numbers < 10.  No renaming.  Horizontal.

DAS19	Subtract two numbers with decimals up to hundredths, some only tenths.  Numbers < 10.  No renaming.  Horizontal.


Review   Decimals: Addition and Subtraction 21R1
Review   Decimals: Addition and Subtraction

Add and subtract numbers with decimals up to hundredths.  If renaming, one time only.  Vertical format.

DAS20	Add two numbers with decimals up to hundredths, some only tenths.  Numbers < 10.  If renaming, one time only.  Vertical.

DAS21	Subtract two numbers with decimals up to hundredths, some only tenths.  Numbers < 10.  If renaming, one time only.  Vertical.


Review   Decimals: Addition and Subtraction 21R2
Review   Decimals: Addition and Subtraction

Add and subtract numbers with decimals up to hundredths.  If renaming, one time only.  Vertical and horizontal formats.

DAS18	Add two numbers with decimals up to hundredths, some only tenths.  Numbers < 10.  No renaming.  Horizontal.

DAS19	Subtract two numbers with decimals up to hundredths, some only tenths.  Numbers < 10.  No renaming.  Horizontal.

DAS20	Add two numbers with decimals up to hundredths, some only tenths.  Numbers < 10.  If renaming, one time only.  Vertical.

DAS21	Subtract two numbers with decimals up to hundredths, some only tenths.  Numbers < 10.  If renaming, one time only.  Vertical.


Review  Decimals: Multiplication 07R1
Review  Decimals: Multiplication

Multiply tenths, hundredths, or thousandths by a single-digit whole number.  Horizontal format.

DML03	Multiply tenths by a single digit whole number.  Horizontal.

DML05	Multiply hundredths by a single digit whole number.  Tenths = 0.  Horizontal.

DML07	Multiply thousandths by a single digit whole number.  Tenths and hundredths = 0.  Horizontal.


Review   Decimals: Multiplication  11R1
Review   Decimals: Multiplication

Multiply tenths or hundredths by tenths.  Vertical format.

DML08	Multiply tenths by tenths.  Vertical.

DML10	Multiply hundredths where tenths = 0 by tenths.  Vertical.


Review   Decimals: Multiplication 11R2
Review   Decimals: Multiplication

Multiply whole numbers, or numbers with tenths of thousandths by tenths.  Vertical formats.

DML02	Multiply tenths by a single digit whole number.  Vertical.

DML04	Multiply hundredths by a single digit whole number.  Tenths = 0.  Vertical.

DML06	Multiply thousandths by a single digit whole number.  Tenths and hundredths = 0.  Vertical.

DML08	Multiply tenths by tenths.  Vertical.

DML10	Multiply hundredths where tenths = 0 by tenths.  Vertical.


Review   Decimals: Multiplication 16R1
Review   Decimals: Multiplication

Multply a number with hundredths or thousandths by a whole number.  Vertical format.

DML15	Multiply hundredths where hundredth place = 0 , 5 by a whole number < 5.  Vertical.

DML16	Multiply a decimal up to thousandths by a whole number < 5.  Thousandths place = 0 , 5.  Vertical.


Review   Decimals: Mutiplication 16R2
Review   Decimals: Mutiplication

Multiply numbers with up to thousandths by powers of 10 or whole numbers.

DML14	Multiply a number with a decimal up to thousandths by .1, .01, .001, 10, 100 or 1000.

DML15	Multiply hundredths where hundredth place = 0 , 5 by a whole number < 5.  Vertical.

DML16	Multiply a decimal up to thousandths by a whole number < 5.  Thousandths place = 0 , 5.  Vertical.


Review   Decimals: Division 03R1
Review   Decimals: Division

Divide numbers with up to hundredths by one-digit whole numbers.

DDV01	Divide a number < 10 with tenths by a one digit whole number.  No renaming.

DDV02	Divide a number < 10 with hundredths by a one digit whole number.  No renaming.  Each digit divides evenly

DDV03	Divide a number < 1 in hundredths by a one digit whole number.


Review   Decimals: Division 05R1
Review   Decimals: Division

Divide whole numbers or tenths into numbers with up to hundredths.  No remainders.

DDV02	Divide a number < 10 with hundredths by a one digit whole number.  No renaming.  Each digit divides evenly

DDV03	Divide a number < 1 in hundredths by a one digit whole number.

DDV04	Divide a number < 10 with tenths by tenths.  Each digit goes evenly.

DDV05	Divide tenths into a one digit whole number.  No remainder.


Review   Decimals: Division 09R1
Review   Decimals: Division

Divide several types of numbers by hundredths.  Numbers divide evenly.

DDV06	Divide hundredths where tenth = 0 into hundredths.  Divides evenly.

DDV07	Divide hundredths where tenth = 0 into number < 10.  Number divides in evenly.

DDV08	Divide hundredth where tenth = 0 into one digit whole number.  No remainder.

DDV09	Divide hundredth where tenth = 0 into a whole number < 100.  Number divides in evenly.


Review   Decimals: Division 09R2
Review   Decimals: Division

Divide several types of numbers by whole numbers, tenths, or hundredths.  Numbers divide evenly.

DDV02	Divide a number < 10 with hundredths by a one digit whole number.  No renaming.  Each digit divides evenly

DDV03	Divide a number < 1 in hundredths by a one digit whole number.

DDV04	Divide a number < 10 with tenths by tenths.  Each digit goes evenly.

DDV05	Divide tenths into a one digit whole number.  No remainder.

DDV06	Divide hundredths where tenth = 0 into hundredths.  Divides evenly.

DDV07	Divide hundredths where tenth = 0 into number < 10.  Number divides in evenly.

DDV08	Divide hundredth where tenth = 0 into one digit whole number.  No remainder.

DDV09	Divide hundredth where tenth = 0 into a whole number < 100.  Number divides in evenly.


Review   Decimals: Division 15R1
Review   Decimals: Division

Divide numbers with thousandths, hundredths, tenths, or no decimals by thousandths.  Divide evenly.

DDV10	Divide a number < 1 with thousandths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV11	Divide a number < 1 with hundredths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV12	Divide a number < 100 with tenths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV13	Divide a whole number < 10 by thousandths.  Hundredth and tenth = 0 in divisor.  Divides evenly.

DDV14	Divide a whole number < 100 by thousandth.  Hundredth and tenth = 0 in divisor.  Divides evenly.

DDV15	Divide a whole number < 1000 by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.


Review   Decimals: Divison 15R2
Review   Decimals: Divison

Divide number with up to thousandths by whole numbers or decimal numbers up to thousandths.  Numbers divide evenly.

DDV02	Divide a number < 10 with hundredths by a one digit whole number.  No renaming.  Each digit divides evenly

DDV03	Divide a number < 1 in hundredths by a one digit whole number.

DDV04	Divide a number < 10 with tenths by tenths.  Each digit goes evenly.

DDV05	Divide tenths into a one digit whole number.  No remainder.

DDV06	Divide hundredths where tenth = 0 into hundredths.  Divides evenly.

DDV07	Divide hundredths where tenth = 0 into number < 10.  Number divides in evenly.

DDV08	Divide hundredth where tenth = 0 into one digit whole number.  No remainder.

DDV09	Divide hundredth where tenth = 0 into a whole number < 100.  Number divides in evenly.

DDV10	Divide a number < 1 with thousandths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV11	Divide a number < 1 with hundredths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV12	Divide a number < 100 with tenths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV13	Divide a whole number < 10 by thousandths.  Hundredth and tenth = 0 in divisor.  Divides evenly.

DDV14	Divide a whole number < 100 by thousandth.  Hundredth and tenth = 0 in divisor.  Divides evenly.

DDV15	Divide a whole number < 1000 by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.


Review   Decimals: Division 18R2
Review   Decimals: Division

Multiply whole numbers, or numbers with tenths to thousandths by tenths.  Vertical formats.

DML02	Multiply tenths by a single digit whole number.  Vertical.

DML04	Multiply hundredths by a single digit whole number.  Tenths = 0.  Vertical.

DML06	Multiply thousandths by a single digit whole number.  Tenths and hundredths = 0.  Vertical.

DML08	Multiply tenths by tenths.  Vertical.

DML10	Multiply hundredths where tenths = 0 by tenths.  Vertical.


Review   Decimals: Division 18R1
Review   Decimals: Division

Add and subtract numbers with decimals up to hundredths.  If renaming, one time only.  Vertical format.

DAS20	Add two numbers with decimals up to hundredths, with some only tenths.  If renaming, one time only.  Numbers < 10.  Vertical.

DAS21	Subtract two numbers with decimals up to hundredths, with some only tenths.  If renaming, one time only.  Numbers < 10.  Vertical.


Review   Decimals: Division 18R3
Review   Decimals: Division

Multiply numbers with up to thousandths by powers of 10 or whole numbers.

DML14	Multiply a number with a decimal up to thousandths by .1, .01, .001, 10, 100 or 1000.

DML15	Multiply hundredths where hundredth place = 0 , 5 by a whole number < 5.  Vertical.

DML16	Multiply a decimal up to thousandths by a whole number < 5.  Thousandths place = 0 , 5.  Vertical.


Review   Decimals: Division 18R4
Review   Decimals: Division

Divide numbers with thousandths, hundredths, tenths, or no decimals by thousandths.  Divide evenly.

DDV10	Divide a number < 1 with thousandths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV11	Divide a number < 1 with hundredths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV12	Divide a number < 100 with tenths by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.

DDV13	Divide a whole number < 10 by thousandths.  Hundredth and tenth = 0 in divisor.  Divides evenly.

DDV14	Divide a whole number < 100 by thousandth.  Hundredth and tenth = 0 in divisor.  Divides evenly.

DDV15	Divide a whole number < 1000 by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.


Review   Decimals: Division 18R5
Review   Decimals: Division

Mixed operations with decimals.

DAS20	Add two numbers with decimals up to hundredths, with some only tenths.  If renaming, one time only.  Numbers < 10.  Vertical.

DAS21	Subtract two numbers with decimals up to hundredths, with some only tenths.  If renaming, one time only.  Numbers < 10.  Vertical.

DML08	Multiply tenths by tenths.  Vertical.

DML10	Multiply hundredths where tenths = 0 by tenths.  Vertical.

DDV13	Divide a whole number < 10 by thousandths.  Hundredth and tenth = 0 in divisor.  Divides evenly.

DDV14	Divide a whole number < 100 by thousandth.  Hundredth and tenth = 0 in divisor.  Divides evenly.

DDV15	Divide a whole number < 1000 by thousandths.  Hundredth and tenth = 0 in divisor.  Each digit divides evenly.


Review   Percents 15R1
Review   Percents

Find various easy percents of whole numbers.

PCT13	Find 10% of a whole number.  W = multiples of 10:  10 .. 500.

PCT14	Find 1% of a whole number.  W = whole numbers: 1 .. 500.

PCT15	Find the percent of a whole number.  X = 10, 25, 50, 75, 100.  n = whole number:  1 .. 20.


Review   Percents 05R1
Review   Percents

Mixed conversions of decimals, fractions, percents, and whole numbers.

PCT01	Convert a written expression to a percent.  Numbers [image] 100.

PCT02	Convert a decimal to a percent and vice versa.  Numbers .01 .. 1.00.

PCT03	Convert a fraction with denominator 100 to a percent and vice versa.  Numbers [image] 100.  Denominators = 100.

PCT04	Write a whole number as a percent.  Numbers 0..10.

PCT05	Convert a fraction to a percent.  Numbers in thousandths or denominator = 100 then numerator is between 101 and 999.


Review   Percents 12R1
Review   Percents

Convert all kinds of fractions to decimals and vice versa.

PCT08	Reduce a fraction with denominator 100 to lowest form.  X = 10, 20, 25, 33 1/3, 50, 66 2/3, 75.

PCT09	Convert a common fraction to a percent.  Round to the nearest percent.

PCT10	Convert tenths to a percent.  x = 0..10. n=10x.

PCT11	Convert fifths to a percent.  x = 0..5.  n = 20x.

PCT12	Convert percent into lowest term fraction.  Variable x is a multiple of 5 or 20.