Multiplying Decimals by Powers of Ten

Front

What is the result of multiplying a decimal by a power of ten?

Back

When you multiply a decimal by a power of ten, you move the decimal point to the right for positive powers and to the left for negative powers.

Front

How do you multiply 0.78 by 10^2?

Back

To multiply 0.78 by 10^2 (which is 100), move the decimal point two places to the right, resulting in 78.

Front

What is 45.1 multiplied by 10^3?

Back

45.1 multiplied by 10^3 (which is 1000) equals 45,100.

Front

How do you convert 80.72 x 10^3 into standard form?

Back

80.72 x 10^3 equals 80,720, achieved by moving the decimal point three places to the right.

Front

What is the result of 7.129 × 100?

Back

7.129 × 100 equals 712.9, moving the decimal point two places to the right.

Front

How do you multiply 23 by 10^2?

Back

23 multiplied by 10^2 (which is 100) equals 2,300, moving the decimal point two places to the right.

Front

What is the general rule for multiplying decimals by powers of ten?

Back

The general rule is to move the decimal point to the right for positive powers and to the left for negative powers.

Front

What happens to the value of a decimal when multiplied by a power of ten?

Back

The value of the decimal increases when multiplied by a positive power of ten.

Front

If you multiply a decimal by 10^-1, what happens?

Back

Multiplying a decimal by 10^-1 moves the decimal point one place to the left, effectively dividing the number by 10.

Front

What is the effect of multiplying by 10^0?

Back

Multiplying by 10^0 equals 1, so the value remains unchanged.