Video: Multiplying Decimal Numbers by 10, 100, and 1000

Complete the table.

02:23

Video Transcript

Complete the following table.

We’re given a table with four columns. In the first column, we’re given a number, 13.7319. We have to multiply this number by 10 and write the answer in the second column. Then, we need to multiply the number by 100 and write the answer in the third column. And in the final column, we need to multiply the number by 1000.

First, we need to multiply 13.7319 by 10. We know that 13 times 10 is 130. So, our answer is going to be roughly 130, 137.319. So, we can write this number in the first column. 13.7319 multiplied by 10 is 137.319. When we multiplied the number by 10, the digits moved one place to the left. If we multiply the same number by 100, the digits will shift two places to the left. 13.7391 multiplied by 100 is 1373.19. The digits have moved two places to the left now.

So, if we multiply our starting number by 1000, the digits will have moved three places to the left. 13.7319 multiplied by 1000 is 13731.9. We completed the table by multiplying 13.7319 by 10, 100, and 1000. The missing numbers from left to right are 137.319, 1373.19, and 13731.9.

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