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.

 

463x53image

 

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

 

multiplication

 

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.

 

Multiplication

 

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.

 

Multiplication

 

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.

 

Multiplication

 

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.

 

Multiplication

 

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.

 

Multiplication

 

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.

 

Multiplication

 

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

 

Multiplication

 

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

 

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