Multiplying by Powers of 10

Front

What is the result of multiplying a decimal by a power of 10?

Back

When you multiply a decimal by a power of 10, you move the decimal point to the right for positive powers and to the left for negative powers. For example, multiplying 0.0891 by 10^4 results in 891.

Front

How do you multiply a number by 10?

Back

To multiply a number by 10, you move the decimal point one place to the right. For example, 0.068 x 10 = 0.68.

Front

What is the effect of multiplying by 100?

Back

Multiplying by 100 moves the decimal point two places to the right. For example, 0.0867 x 100 = 8.67.

Front

What is the result of multiplying 62.397 by 10?

Back

Multiplying 62.397 by 10 results in 623.97, as the decimal point moves one place to the right.

Front

How do you express 42.8 x 10^2 in standard form?

Back

42.8 x 10^2 equals 4,280, as multiplying by 10^2 moves the decimal point two places to the right.

Front

What is a power of 10?

Back

A power of 10 is an expression that represents 10 multiplied by itself a certain number of times, denoted as 10^n, where n is an integer.

Front

What happens when you multiply a number by a negative power of 10?

Back

Multiplying by a negative power of 10 moves the decimal point to the left. For example, multiplying by 10^-1 would move the decimal one place to the left.

Front

How do you convert a decimal to a whole number using powers of 10?

Back

To convert a decimal to a whole number, multiply it by an appropriate power of 10 that moves the decimal point to the right enough places to eliminate the decimal.

Front

What is the general rule for multiplying decimals by powers of 10?

Back

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

Front

Can you give an example of multiplying a decimal by 10^3?

Back

Sure! For example, 0.005 x 10^3 = 5, as the decimal point moves three places to the right.