Use Long Multiplication: Three Digits by Two Digits

The long multiplication method is a written way to multiply 3-digit numbers by 2-digit numbers. 

These sums might look like really difficult multiplications to work out but if we break it up and start multiplying the digits by each other, it will become a lot more easier!

Example => 564 x 32.

1 => First, write the larger number above the smaller number. Make sure that the 1s and 10s columns line up.

2 => Multiply the ones digit of the bottom number by the ones digit of the top number. 2 × 4 = 8. Write 8 under the ones.

3 => Multiply the ones digit of the bottom number by the number in the tens place of the top number. 2 × 6 = 12. Write the 2 under the tens and carry the 1.

4 => Multiply the ones digit of the bottom number by the hundreds digit of the top number. 2 × 5 = 10. Add the 1 you carried to make 11. Write 1 in the 100s column and 1 in the 1000s column.

5 => Write a 0 in the ones column below the first product. Now, you’re multiplying by 30, instead of 3!

6 => Multiply the tens digit of the bottom number by the ones digit of the top number. 3 × 4 = 12. Write 2 on the line, then carry 1.

7 => Multiply the tens digit of the bottom number by the tens digit of the top number. 3 × 6 = 18. Add the 1 you carried over to equal 19. Write 9 on the line and carry the 1.

8 => Multiply the tens digit of the bottom number by the hundreds digit of the top number. 3 × 5 = 15. Add the 1 you carried over to equal 16. Write 16 on the line.

9 => Add both the rows of products using column addition.

Now try a few practice questions!

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