Dividing Decimals by Powers of 10

Front

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

Back

When you divide a decimal by a power of 10, you move the decimal point to the left by the number of zeros in the power of 10.

Front

How do you divide 7,446.5 by 1000?

Back

To divide 7,446.5 by 1000, move the decimal point three places to the left, resulting in 7.4465.

Front

What is the estimated result of 73.6 ÷ 9.1 using compatible numbers?

Back

Estimate by rounding 73.6 to 72 and 9.1 to 9, so 72 ÷ 9 = 8.

Front

How do you estimate 26.2 ÷ 5 using compatible numbers?

Back

Round 26.2 to 25, then divide: 25 ÷ 5 = 5.

Front

What is 0.5 ÷ 10?

Back

0.5 ÷ 10 = 0.05, which involves moving the decimal point one place to the left.

Front

What is the result of dividing 32.40 by 1000?

Back

To divide 32.40 by 1000, move the decimal point three places to the left, resulting in 0.0324.

Front

What is a power of 10?

Back

A power of 10 is a number that can be expressed as 10 raised to an exponent, such as 10^1 (10), 10^2 (100), or 10^3 (1000).

Front

Why is estimating useful when dividing decimals?

Back

Estimating helps to quickly gauge the size of the answer and check the reasonableness of the actual calculation.

Front

What does it mean to use compatible numbers?

Back

Compatible numbers are numbers that are easy to compute with mentally, often rounded to make calculations simpler.

Front

How does dividing by 10 affect a decimal number?

Back

Dividing a decimal by 10 moves the decimal point one place to the left.