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Look at the fractions section for help with how to multiply fractions or the decimals section for guidance on multiplying decimals.
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How To Multiply Numbers # 2

By Subject > Multiplication >Multiplying - another way

We've seen here one way to multiply numbers. Another similar, but quicker way to do multiplication calculations involves regrouping and carrying forward. The examples on this page show how this can be done.
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Note: Try your own numbers in the Multiplication Calculator for a step through of the method that is illustrated below.

Multiplication - another way (regroup and carry forward)

318 x 6 =
Multiply the ones
6 x 8 = 48
3 1 8
x 6
Write the 8 in the ones' place and carry the 4 forward to the tens' place
3 148
x 6
8
Multiply the tens
6 x 1 = 6 and add the 4 that was carried forward
6 + 4 = 10
31148
x 6
8
Write the 0 in the tens' place and carry the 1 forward to the hundreds' place
31148
x 6
0 8
Multiply the hundreds
6 x 3 = 18 and add the 1 that was carried forward
18 + 1 = 19
31148
x 6
0 8
Write the 1 in the thousands' place and the 9 in the hundreds' place
31148
x 6
1 9 0 8
318 x 6 = 1908

Notice that in the example below there is one step that does not require regrouping and carrying forward.

403 x 7 =
Multiply the ones
7 x 3 = 21
4 0 3
 x 7
Write the 1 in the ones' place and carry the 2 forward to the tens' place
4 023
x 7
1
Multiply the tens
7 x 0 = 0 and add the 2 that was carried forward
0 + 2 = 2
4 023
x 7
1
Write the 2 in the tens' place (note: there's nothing to carry forward in this case)
4 023
x 7
2 1
Multiply the hundreds
7 x 4 = 28
4 023
x 7
2 1
Write the 2 in the thousands' place and the 8 in the hundreds' place
4 023
x 7
2 8 2 1
403 x 7 = 2821

Check to be sure your child knows that regrouping and carrying forward is often not required for some, or all the steps when using this method of multiplication.

Multiplication Step-Through Calculator - for want of a better name!

Follow the instructions below and try some multiplication with your own numbers.


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Try the worksheets below for more practice with multiplying by regrouping and carrying forward.

You'll find more printable multiplication worksheets here.