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chapter1.3b
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àï1.3è Subtracting Whole Numbers.
äè Please Subtract the following Whole Numbers.
â
êê 9êêï46êê 864
#êë - ╬êê- ╩╦êë - ╩╦╔
êê 3êêï23êê 633
éS In order to subtract the Whole Number "231" from the Whole
Number "864", it is first necessary to subtract the digits in the ones
column.êêêë 864
#êêêêè - ╩╦╔
êêêêê 3
Next, the digits in the tens place are subtracted.
êêêêë 864
#êêêêè - ╩╦╔êêêï┌────────┐
#êêêêê33êêêï│è864ï│
#Finally, the digits in the hundreds place are subtracted.è│ - ╩╦╔ï│
#êêêêë 864êêè ┌────┘ï╪╬╦╦╪ │
#êêêêè - ╩╦╔êêè │ checkï864ï│
#êêêêë 633êêè └─────────────┘
Thus, the difference between "864" and "231" is 633.ïNote that unlike
addition, changing which number is on top gives a different answer in
subtraction.ïIt is possible, however, to write subtraction on one line.
êêêë864 - 231è=è633
Note that you can check your work by adding 231 and 633.
1
êêè Subtractêï9
#êêêêë- ═
ë A)ï5êëB)ï4êëC)ï6êëD)ïå
ü
êêêêê9
#êêêêë- ═
êêêêê4
Ç B
2
êêè Subtractêï4
#êêêêë- ╚
ë A)ï4êëB)ï0êëC)ï3êëD)ïå
ü
êêêêê4
#êêêêë- ╚
êêêêê4
Ç A
3
êêè Subtractêï18
#êêêêë- ╪═
ë A)ï12êè B)ï23êè C)ï13êè D)ïå
ü
êêêêê18
#êêêêë- ╪═
êêêêê13
Ç C
4
êêè Subtractêï45
#êêêêë- ╪╦
ë A)ï48êè B)ï42êè C)ï41êè D)ïå
ü
êêêêê45
#êêêêë- ╪╦
êêêêê42
Ç B
5
êêè Subtractêï73
#êêêêë- ╠╩
ë A)ï115êèB)ï23êè C)ï31êè D)ïå
ü
êêêêê73
#êêêêë- ╠╩
êêêêê31
Ç C
6
êêè Subtractêï1254
#êêêêë- ╪═╚╦
ë A)ï751êèB)ï1,757ê C)ï861êèD)ïå
ü
êêêêê1254
#êêêêë- ╪═╚╦
êêêêê 751
Ç A
7
êêè Subtractêï4,895
#êêêêë- ╩█╬╦╔
ë A)ï1,546ê B)ï2,264ê C)ï6,826ê D)ïå
ü
êêêêê4,895
#êêêêë- ╩█╬╦╔
êêêêê2,264
Ç B
8
êêêèSubtractë16 - 7
ë A)ï9êëB)ï12êëC)ï23êëD)ïå
ü
êêêêï16 - 7è=è9
Ç A
9
êêêèSubtractë92 - 31
ë A)ï63êè B)ï123êè C)ï61êëD)ïå
ü
êêêêï92 - 31è=è61
Ç C
10
êêë Subtractë8,604 - 5,302.
ë A)ï4,832ê B)ï3,302êïC)ï3,906êïD)ïå
ü
êêêê8,604 - 5,302è=è3,302
Ç B
ä Please subtract the following Whole Numbers using the
êë "Borrowing" method.
â
#êêë ìêêêè É îÅ
#êêë ╕î3êêêï╗ï║ î0
#êêè-ï╔╪╧êêê- ╩╪╪╬╪╪╠
êêë 1 6êêêï3ï8ï6
éSïTo subtract the Whole Number "264" from the Whole Number"650",
it is first necessary to subtract the digits in the ones column.ïYou
can see, however, since the "0" is smaller than the "4" that it will be
necessary to borrow "1" from the "5" before subtracting.
#êêêêë Å
#êêêêè6ï║ î0
#êêêê-ï╩╪╪╬╪╪╠
êêêêêï6
The next step would be to subtract the digits in the tens place.ïIt is
necessary, however, to borrow "1" from the "6" before subtracting.
#êêêêèÉ îÅ
#êêêêè╗ï║ î0
#êêêê-ï╩╪╪╬╪╪╠êêê┌───────────┐
#êêêêë 8ï6êêê│èîïîè │
#Finally, the digits in the hundreds place are subtracted.ï│è2ï6ï4 │
#êêêêèÉ îÅêêêè│ + ╦╪╪╨╪╪╬ │
#êêêêè╗ï║ î0êêê│è6ï5ï0 │
#êêêê-ï╩╪╪╬╪╪╠êêê│è checkï│
#êêêêè3ï8ï6êêê└───────────┘
Thus, the difference between 650 and 264 is 386.ïMost subtraction
problems will involve borrowing in one or more columns.ïOnce again
the check is to add 264 and 386.
11
êêêïSubtractè4 3
#êêêêè - ╩╪╬
ë A)ï17êëB)ï69êëC)ï27êëD)ïå
ü
#êêêêë Ä
#êêêêë ╣î3
#êêêêè - ╩╪╬
êêêêë 1 7
Ç A
12
êêêêSubtractè5 6
#êêêêêï- ╩╪╨
ë A)ï74êëB)ï28êëC)ï38êëD)ïå
ü
#êêêêë Å
#êêêêë ║î6
#êêêêè - ╩╪╨
êêêêë 2 8
Ç B
13
êêêïSubtractè2 7
#êêêêè - ╔╪╨
ë A)ï45êëB)ï19êëC)ï9êë D)ïå
ü
#êêêêë î
#êêêêë ╖î7
#êêêêè - ╔╪╨
êêêêê 9
Ç C
14
êêêïSubtractè8 5
#êêêêè - ╧╪╬
ë A)ï161êè B)ï9êë C)ï19êëD)ïå
ü
#êêêêë Æ
#êêêêë ╜î5
#êêêêè - ╧╪╬
êêêêê 9
Ç B
15
êêêïSubtractè4 9 2
#êêêêè - ╔╪╦╪╬
ë A)ï182êè B)ï386êè C)ï356êè D)ïå
ü
#êêêêê ô
#êêêêë 4 ╛î2
#êêêêè - ╔╪╦╪╬
êêêêë 3 5 6
Ç C
16
êêêïSubtractè8 4 2
#êêêêè - ╩╪╦╪╩
ë A)ï610êè B)ï674êè C)ï590êè D)ïå
ü
êêêêë 8 4 2
#êêêêè - ╩╪╦╪╩
êêêêë 6 1 0
Ç A
17
êêêïSubtractè4 8 5
#êêêêè - ╠╪╦╪╨
ë A)ï53êëB)ï47êëC)ï147êè D)ïå
ü
#êêêêê Æ
#êêêêë 4 ╜î5
#êêêêè - ╠╪╦╪╨
êêêêê 4 7
Ç B
18
êêêïSubtractè4 2 5 3
#êêêêè - ╩╪╔╪╬╪═
ë A)ï2,088êïB)ï4,316êïC)ï1,529êïD)ïå
ü
#êêêêë î îÅ
#êêêêè4ï╖ï║ î3
#êêêê - ╩╪╪╔╪╪╬╪╪═
êêêêè2, 0ï8ï8
Ç A
19
êêêïSubtractè6 0 0 4
#êêêêè - ╩╪╦╪╠╪═
ë A)ï4,536êïB)ï3,659êïC)ï4,659êïD)ïå
ü
#êêêêèÉïöïö
#êêêêè╗ î╡ î╡ î4
#êêêê - ╩╪╪╦╪╪╠╪╪═
êêêêè3, 6ï5ï9
Ç B
20èIf you have paid $2,360 on your car which originally cost
êë $6,850, how much is left to pay?
êA)ï$4,490ê B)ï$5,632ê C)ï$2,385ê D)ïå
ü
#êêêêëÆ
#êêêêè6 ╜î5 0
#êêêê - ╩╪╦╪╬╪╚
êêêêï$4,4 9 0
Ç A
21èIf you set aside $250 for food, but only spent $198, how
êë much extra do you have?
êA)ï$82êè B)ï$52êè C)ï$12êè D)ïå
ü
#êêêêèî îÅ
#êêêêè╖ï║ î0
#êêêê - ╔╪╪╤╪╪╨
êêêêë 5ï2
Ç B
22ïIf your odometer read 43,281 when you left home, but reads
êë44,682 at the end of your trip, how far did you travel?
êA)ï401êè B)ï1,401êïC)ï301êè D)ïå
ü
êêêêè4 4 6 8 2
#êêêê - ╠╪╦╪╩╪╨╪╔
êêêêë1,4 0 1
Ç B
23ïAn item in a store is marked down from $83 to $62.ïHow
êëmuch less does it cost?
êA)ï$18êè B)ï$42êè C)ï$21êè D)ïå
ü
êêêêë 8 3
#êêêêè - ╬╪╩
êêêêë$2 1
Ç C