# Place Value and Powers of Ten

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## Overview

We know that multiplying by 10 makes a number bigger by shifting the place value to the left. We also know that dividing by 10 makes a number smaller by shifting the place value to the right. But what happens when we multiply or divide by a power of 10?
Consider the expression below.

Step One: Determine the place value for the original number.

 Place Value Chart thousands hundreds tens ones tenths hundredths thousandths 1 . 8 7 2

Step Two: Determine the direction the place value will shift. Since we are multiplying, we know we need to move the place value to the left.

Step Three: Determine the number of places to shift. The exponent is 3. So, we need to shift the place value three times.

 Place Value Chart thousands hundreds tens ones tenths hundredths thousandths 1 8 7 2 .

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What is another way to write

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Which of the following is equivalent to ?

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