## Multiplication of Three Digit Numbers (3 x 2 Digits)

Hi Kids,

Once we learn the basics of multiplication, it is easy to multiply even bigger numbers. Let us now see how to multiply a 3 (three) and a 2 (two) digit number.

Let us consider the numbers 463 and 53.

Write the numbers one below the other, as given in the below image.

As we did in the previous multiplication, we need to first multiply 3 of 53 with 463, in this problem. Let us do that one at a time.

Let us first concentrate on the “ones” column. Let us multiply 3 of 53 with 3 of the three digit number 463. We get 9 as the answer. Write 9 in the “ones” column.

Then multiply 3 with 6 of 463 in this elementary math problem. We get 18. Write 8 in the “tens” column and carry over 1 to the “hundreds” column.

Now multiply 3 with 4 of 463. We get 12. Along with this, add the 1 which we carried over, as we did in other problems. We get 13. Write 13 in the answer column. So we get the answer as 1389.

The next step in this multiplication is to multiply the number 5 of 53 with 463. As mentioned in the previous chapter, write 0 below 9 in the answer column. Now, let us multiply 5 and 3. The answer is 15. Write 5 below 8 of 1389 and carry over 1 to “tens” column.

Then multiply 5 of 53 with 6 of the three digit number 463. The answer is 30. Now add 30 with 1, which gives 31. Write 1 below 3 of 1389 and carry over 3 to “hundreds” column.

Now multiply 5 of 53 with 4 of 463. We get 20. Now add 20 with the carry over number 3. We get 23. Write 23 in the answer column, as given below.

Finally, add the two numbers 1389 and 23150 in the answer column.

We get 24539 as the answer. Practice with few more problems to understand this better.

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