Multiply Decimals by Power 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.

Front

How do you multiply 0.74 by 10^3?

Back

To multiply 0.74 by 10^3, move the decimal point three places to the right, resulting in 740.

Front

What is the result of 2.398 x 10^3?

Back

The result is 2398, achieved by moving the decimal point three places to the right.

Front

How do you express 156.34 x 10 in decimal form?

Back

Multiply 156.34 by 10, moving the decimal point one place to the right, resulting in 1563.4.

Front

What power of 10 is needed to make 0.4 x _____ = 4 true?

Back

You need to multiply by 10, as 0.4 x 10 = 4.

Front

What is the result of 7.652 x 100?

Back

The result is 765.2, achieved by moving the decimal point two places to the right.

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.

Front

If you multiply a decimal by 10^n, what does 'n' represent?

Back

In this context, 'n' represents the number of places to move the decimal point to the right.

Front

What happens to the value of a decimal when multiplied by a power of 10?

Back

The value increases when multiplied by a positive power of 10 and decreases when multiplied by a negative power of 10.

Front

How can you verify the result of multiplying a decimal by a power of 10?

Back

You can verify the result by converting the multiplication into a division problem or by using a calculator.