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.
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.
Custom Search
Try the worksheets below for more practice with multiplying by regrouping
and carrying forward.
2
x 1 digit - Products to 99