Multiplying and Dividing by Powers of 10

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

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

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

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

Multiplying by 10^n is the same as shifting the digits (a)   n place values.

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

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

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

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