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Subtract and then check by adding: 439 52 .

439 − 52 = 387 because 387 + 52 = 439

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Subtract and then check by adding: 318 75 .

318 − 75 = 243 because 243 + 75 = 318

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Subtract and then check by adding: 910 586 .

Solution

Write the numbers so each place value lines up vertically. ..
Subtract the ones. We cannot subtract 6 from 0, so we borrow 1 ten and add 10 ones to the 10 ones we had. This makes 10 ones. We write a 0 above the tens place and cross out the 1. We write the 10 above the ones place and cross out the 0. Now we can subtract the ones. 10 6 = 4. ..
Write the 4 in the ones place of the difference. ..
Subtract the tens. We cannot subtract 8 from 0, so we borrow 1 hundred and add 10 tens to the 0 tens we had, which gives us 10 tens. Write 8 above the hundreds place and cross out the 9. Write 10 above the tens place. ..
Now we can subtract the tens. 10 8 = 2 . ..
Subtract the hundreds place. 8 5 = 3 Write the 3 in the hundreds place in the difference. ..
Check by adding.

...

Our answer is correct.
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Subtract and then check by adding: 832 376 .

832 − 376 = 456 because 456 + 376 = 832

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Subtract and then check by adding: 847 578 .

847 − 578 = 269 because 269 + 578 = 847

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Subtract and then check by adding: 2,162 479 .

Solution

Write the numbers so each place values line up vertically. CNX_BMath_Figure_01_03_028_img-02.png
Subtract the ones. Since we cannot subtract 9 from 2, borrow 1 ten and add 10 ones to the 2 ones to make 12 ones. Write 5 above the tens place and cross out the 6. Write 12 above the ones place and cross out the 2. CNX_BMath_Figure_01_03_028_img-03.png
Now we can subtract the ones. 12 9 = 3
Write 3 in the ones place in the difference. CNX_BMath_Figure_01_03_028_img-04.png
Subtract the tens. Since we cannot subtract 7 from 5, borrow 1 hundred and add 10 tens to the 5 tens to make 15 tens. Write 0 above the hundreds place and cross out the 1. Write 15 above the tens place. CNX_BMath_Figure_01_03_028_img-06.png
Now we can subtract the tens. 15 7 = 8
Write 8 in the tens place in the difference. CNX_BMath_Figure_01_03_028_img-05.png
Now we can subtract the hundreds. CNX_BMath_Figure_01_03_028_img-07.png
Write 6 in the hundreds place in the difference. CNX_BMath_Figure_01_03_028_img-08.png
Subtract the thousands. There is no digit in the thousands place of the bottom number, so we imagine a 0. 1 0 = 1. Write 1 in the thousands place of the difference. CNX_BMath_Figure_01_03_028_img-09.png
Check by adding.

1 1 , 6 1 8 1 3 + 479 ______ 2, 162

Our answer is correct.

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Subtract and then check by adding: 4,585 697 .

4,585 − 697 = 3,888 because 3,888 + 697 = 4,585

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Subtract and then check by adding: 5,637 899 .

5,637 − 899 = 4,738 because 4,738 + 899 = 5,637

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Translate word phrases to math notation

As with addition, word phrases can tell us to operate on two numbers using subtraction. To translate from a word phrase to math notation, we look for key words that indicate subtraction. Some of the words that indicate subtraction are listed in [link] .

Operation Word Phrase Example Expression
Subtraction minus 5 minus 1 5 1
difference the difference of 9 and 4 9 4
decreased by 7 decreased by 3 7 3
less than 5 less than 8 8 5
subtracted from 1 subtracted from 6 6 1

Translate and then simplify:

  1. the difference of 13 and 8
  2. subtract 24 from 43

Solution

  • The word difference tells us to subtract the two numbers. The numbers stay in the same order as in the phrase.

    the difference of 13 and 8
    Translate. 13 8
    Simplify. 5
  • The words subtract from tells us to take the second number away from the first. We must be careful to get the order correct.

    subtract 24 from 43
    Translate. 43 24
    Simplify. 19
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Practice Key Terms 1

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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