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When multiplying by a power of ten the digits of the number move left the same number of place value columns as the power.

When dividing by a power of ten the digits of the number move right the same number of place value columns as the power.

As this is awkward to do with pencil and paper, the effect on the position of the decimal point is used instead:

To multiply by a power of ten the decimal point is moved right the same number of digits as the power of 10;

To divide by a power of ten the decimal point is moved left the same number of digits as the power of 10;

If there are insufficient digits to do the moving zeros (0) are inserted as necessary.

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You move the decimal point to the right or to the left, as many digits as the power indicates. Example:3 multiplied by 10 to the power 3 = 3000. Note that the decimal point is implied in this case (to the right of each number). Also note that the decimal point has been moved three positions to the right, since the power of 10 has been three.

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9y ago
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If the power of ten is a positive integer n, then move the decimal point n places to the right, inserting trailing zeros as required. Whereas, if the power of ten is a negative integer n, then move the decimal point n places to the left, inserting leading zeros as required

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9y ago
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When you multiply by a power of ten the decimal moves

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Anonymous

4y ago
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Q: How do you multiply or divide by the powers of ten?
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What kind of math do you learn in 6th grade?

In 6th Grade, you learn how to Multiply and Divide Fractions and Decimals. And learn square roots, the Powers of Ten.


How do you convert tenths of inch to sixteenths of inch?

Divide by ten then multiply by sixteen.


What are the advantages of using powers of ten notation?

Using power-of-notation makes it easy to multiply numbers.


What is seven tenths of ten?

The answer is 7.To find seven tenths, you first divide 10 by 10 and then multiply your answer by 7.