Multiplying and Dividing by Powers of Ten 1

Front

What is the result of multiplying a number by 10^0?

Back

The result is the number itself, as any number multiplied by 1 (10^0 = 1) remains unchanged.

Front

How do you multiply a decimal by a power of ten?

Back

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

Front

What is 0.8 x 10^2?

Back

0.8 x 10^2 = 80, because moving the decimal point two places to the right gives 80.

Front

What is the effect of multiplying by 10^3?

Back

Multiplying by 10^3 increases the value of the number by three places to the right, effectively multiplying it by 1000.

Front

Calculate 243 x 10^2.

Back

243 x 10^2 = 24,300, as you move the decimal point two places to the right.

Front

What is the result of 8 x 10^1?

Back

8 x 10^1 = 80, since multiplying by 10^1 moves the decimal one place to the right.

Front

How does multiplying by 10^n affect the number of zeros in a whole number?

Back

Multiplying a whole number by 10^n adds n zeros to the end of the number.

Front

What is 4.3 x 10^2?

Back

4.3 x 10^2 = 430, achieved by moving the decimal point two places to the right.

Front

Explain the concept of powers of ten in multiplication.

Back

Powers of ten represent how many places to move the decimal point when multiplying, with positive powers moving it to the right and negative powers to the left.

Front

What is the result of 125 x 10^3?

Back

125 x 10^3 = 125,000, as moving the decimal point three places to the right adds three zeros.