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

Complete the figure shown.

02:26

Video Transcript

Complete the figure shown.

In this figure, we have a set of three values that are being transformed by division. From the first to the second column, we’re dividing by 100. From the second column to the third column, we’re dividing by an unknown value. This is our first missing value. The last piece of information that we’re given is going from the first column to the third column represents dividing by 1000.

Our second unknown value is the third box in the third column. When we’re divide by multiples of 10, we have a special rule that can help us represent this. We represent dividing by multiples of 10 by moving the decimal to the left for every zero in the divisor. Here’s an example: dividing 348.9 by 100 is to move the decimal two places to the left, one, two. We know that 348.9 divided by 100 is equal to 3.489.

We can use this method to divide 21.5 by 1000. 1000 has three zeros. And that means we need to take 21.5 and move the decimal to the left three times: one, two, three. The new decimal belongs here. And we must add a zero as a placeholder. 21.5 divided by 1000 is equal to 0.0215. We can go ahead and plug that into our box.

And now, we need to focus on our last missing value. From the second to the third column, the decimal point has been moved one time to the left. And that tells us that we’re dealing with a multiple of 10 that has one zero. We’re dealing with 10.

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