Multiplying and Dividing by Powers of 10

To multiply a number by 10, the digits in the number shift __ one place value.

To divide a number by 100, the digits in the number shift __ two place values.

When multiplying by a power of 10, the decimal point moves __ the same number of places as the exponent.

To divide a number by 1,000, the digits in the number shift __ three place values.

Multiplying by 10^n is the same as shifting the digits __ n place values.

Explain how to multiply a number by a power of 10, such as 10^4.

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Describe the relationship between dividing by a power of 10 and shifting the digits.

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How can you use your knowledge of multiplying and dividing by powers of 10 to quickly solve problems involving large numbers?

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Which of the following is equal to 2.34 × 1,000?

• 2,340

• 0.00234

• 23,400

• 0.234

If a number is multiplied by 10^6, how many place values will the digits shift?

• 2

• 3

• 4

• 6