Terminating and Repeating Decimals

Front

What is a terminating decimal?

Back

A decimal that has a finite number of digits after the decimal point, resulting from a fraction with a denominator that has only the prime factors 2 and/or 5.

Front

What is a repeating decimal?

Back

A decimal that has one or more digits that repeat infinitely, often represented with a bar notation over the repeating digits.

Front

How can you identify a repeating decimal from a fraction?

Back

If the fraction's denominator has prime factors other than 2 or 5, the decimal representation will be repeating.

Front

Convert 1/4 to a decimal.

Back

.25

Front

Convert 3/10 to a decimal.

Back

.3

Front

What is the decimal representation of 1/3?

Back

.333... (repeating decimal) or 0.3̅

Front

How do you convert a fraction to a decimal?

Back

Divide the numerator by the denominator.

Front

What does it mean if a decimal has a bar notation?

Back

It indicates that the digits under the bar repeat indefinitely.

Front

Convert 2/5 to a decimal.

Back

.4

Front

What is the decimal representation of 5/8?

Back

.625