The document provides step-by-step instructions for multiplying two- and three-digit numbers by a one-digit number. It explains that the process involves multiplying the ones place values first, carrying values to the next place if needed, and then multiplying each subsequent place value while accounting for any carried values. Two examples are worked through applying these steps: multiplying 45 by 5 to get 225, and multiplying 364 by 4 to get 1,456.

1. Multiplying Two- and
Three- Digit Numbers
by a One- Digit Number

2. Step 1
Think about 3
groups of 24.
24
3x

3. 24
3x
Step 2
Multiply the
ones.
Think:
4 x 3 = 12
24
3x

4. Step 3
Regroup 12
ones as 1
ten and 2
ones. Write
down the
ones. Carry
the tens.
24
3x
2
1

5. Step 4
Then multiply
the bottom
ones times
the tens.
Add in the
one ten you
carried over.
Think:
6 tens + 1 ten
= 7 tens
7
24
3x
2
1

6. Step 5
Your final
answer is 72.
7
24
3x
2
1
Let’s try another problem!

7. Step 1
Think about 5 groups of 45.
45
5x

8. 45
5x
Step 2
Multiply the
ones.
Think:
5 x 5 = 25
45
5x

9. Step 3
Regroup 25
ones as 2
tens and 5
ones. Write
down the
ones. Carry
the tens.
45
5x
5
2

10. Step 4
Then multiply
the bottom
ones times
the tens.
Add in the
two ten you
carried over.
Think:
20 tens +
2 tens = 22
45
5x
5
2
22

11. Step 5
Your final
answer is
225.
Let’s try a harder problem!
45
5x
5
2
22

12. Step 1
Think about 4 groups of 364.
64
4x
3

13. Step 2
Multiply the
ones.
Think:
4 x 4 = 16
64
4x
364
4x
3

14. Step 3
Regroup 16
ones as 1
ten and 6
ones. Write
down the
ones. Carry
the tens.
6
1
64
4x
3

15. Step 4
Then multiply
the bottom
ones times
the tens.
Add in the
one ten you
carried over.
Think:
24 tens + 1 ten
= 25 tens
6
64
4x
3
1

16. Step 5
Regroup 25 tens
as two hundreds
and five tens.
Write down the
tens. Carry the
hundreds.
64
4x
3
6
1
5
2

17. Step 6
Then multiply
the bottom
ones times
the hundreds.
Add in the
two hundreds
you carried
over.
Think:
12 hundreds + 2
hundreds = 14
6
64
4x
3
12
5

18. Step 7
Your final
answer is
1,456. 6
64
4x
3
12
51,4
Now try some on your own!