Subtracting Whole Numbers

How to Find the Difference of Whole Numbers: Write the numbers so each place value lines up vertically. Subtract the digits in each place value. Work from right to left starting with the ones place. If the digit on top is less than the digit below, borrow as ...

Subtracting Whole Numbers

How to Find the Difference of Whole Numbers:

  1. Write the numbers so each place value lines up vertically.
  2. Subtract the digits in each place value. Work from right to left starting with the ones place. If the digit on top is less than the digit below, borrow as needed.
  3. Continue subtracting each place value from right to left, borrowing if needed.
  4. Check by adding.

Example

Subtract: \(43-26.\)

Solution

Write the numbers so each place value lines up vertically. ..
Subtract the ones. We cannot subtract 6 from 3, so we borrow 1 ten. This makes 3 tens and 13 ones. We write these numbers above each place and cross out the original digits. ..
Now we can subtract the ones. \(13-6=7.\) We write the 7 in the ones place in the difference. ..
Now we subtract the tens. \(3-2=1.\) We write the 1 in the tens place in the difference. ..
Check by adding.
..
Our answer is correct.

Extra:

Subtract and then check by adding: \(93-58.\)

Solution

93 − 58 = 35 because 58 + 35 = 93

Extra:

Subtract and then check by adding: \(81-39.\)

Solution

81 − 39 = 42 because 42 + 39 = 81

Example

Subtract and then check by adding: \(207-64.\)

Solution

Write the numbers so each place value lines up vertically. ..
Subtract the ones. \(7-4=3.\)
Write the 3 in the ones place in the difference. Write the 3 in the ones place in the difference.
..
Subtract the tens. We cannot subtract 6 from 0 so we borrow 1 hundred and add 10 tens to the 0 tens we had. This makes a total of 10 tens. We write 10 above the tens place and cross out the 0. Then we cross out the 2 in the hundreds place and write 1 above it. ..
Now we subtract the tens. \(10-6=4.\) We write the 4 in the tens place in the difference. ..
Finally, subtract the hundreds. There is no digit in the hundreds place in the bottom number so we can imagine a 0 in that place. Since \(1-0=1,\) we write 1 in the hundreds place in the difference. ..
Check by adding.
..
Our answer is correct.

Extra:

Subtract and then check by adding: \(439-52.\)

Solution

439 − 52 = 387 because 387 + 52 = 439

Extra:

Subtract and then check by adding: \(318-75.\)

Solution

318 − 75 = 243 because 243 + 75 = 318

Example

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.

Extra:

Subtract and then check by adding: \(832-376.\)

Solution

832 − 376 = 456 because 456 + 376 = 832

Extra:

Subtract and then check by adding: \(847-578.\)

Solution

847 − 578 = 269 because 269 + 578 = 847

Example

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 \(1-0=1.\) Write 1 in the thousands place of the difference. CNX_BMath_Figure_01_03_028_img-09.png
Check by adding.
\(\begin{array}{}\\ \phantom{\rule{1em}{0ex}}\stackrel{1}{1},\stackrel{1}{6}\stackrel{1}{8}3\hfill \\ \phantom{\rule{0.71em}{0ex}}+\phantom{\rule{0.55em}{0ex}}479\hfill \\ \hline \phantom{\rule{1.1em}{0ex}}2,\phantom{\rule{0.3em}{0ex}}162✓\hfill \end{array}\)

Our answer is correct.

Extra:

Subtract and then check by adding: \(4,585-697.\)

Solution

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

Extra:

Subtract and then check by adding: \(5,637-899.\)

Solution

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

Optional Video: Subtracting Whole Numbers

This video below by Mathispower4u explains how to subtract whole numbers and provides several examples.

This lesson is part of:

Introducing Numbers

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