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# Multiplying by two-and_three digit

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Explanation when multiply 3 digit numbers by 2 digit numbers

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### Multiplying by two-and_three digit

1. 1. Multiplying Two- and Three- Digit Numbers by a One- Digit Number
2. 2. Step 1 Think about 3 groups of 24. 24 3x
3. 3. 24 3x Step 2 Multiply the ones. Think: 4 x 3 = 12 24 3x
4. 4. Step 3 Regroup 12 ones as 1 ten and 2 ones. Write down the ones. Carry the tens. 24 3x 2 1
5. 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. 6. Step 5 Your final answer is 72. 7 24 3x 2 1 Let’s try another problem!
7. 7. Step 1 Think about 5 groups of 45. 45 5x
8. 8. 45 5x Step 2 Multiply the ones. Think: 5 x 5 = 25 45 5x
9. 9. Step 3 Regroup 25 ones as 2 tens and 5 ones. Write down the ones. Carry the tens. 45 5x 5 2
10. 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. 11. Step 5 Your final answer is 225. Let’s try a harder problem! 45 5x 5 2 22
12. 12. Step 1 Think about 4 groups of 364. 64 4x 3
13. 13. Step 2 Multiply the ones. Think: 4 x 4 = 16 64 4x 364 4x 3
14. 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. 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. 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. 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. 18. Step 7 Your final answer is 1,456. 6 64 4x 3 12 51,4 Now try some on your own!