Decimal Flashcard: Terminating and Repeating Decimals

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal number that has a finite number of digits after the decimal point.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal number that has one or more digits that repeat infinitely after the decimal point.

Front

How can you express a repeating decimal using bar notation?

Back

Bar notation is used to indicate that a digit or group of digits repeats indefinitely. For example, 0.0636363... can be expressed as 0.06̅3.

Front

What is the decimal equivalent of the fraction 1/4?

Back

The decimal equivalent of the fraction 1/4 is 0.25, which is a terminating decimal.

Front

Is the decimal 0.333... a terminating or repeating decimal?

Back

0.333... is a repeating decimal.

Front

What is the decimal equivalent of the fraction 2/3?

Back

The decimal equivalent of the fraction 2/3 is 0.666..., which is a repeating decimal.

Front

What happens to the decimal representation of a fraction if the denominator has only the prime factors 2 and/or 5?

Back

If the denominator of a fraction has only the prime factors 2 and/or 5, the decimal representation will be terminating.

Front

What is the remainder when dividing a number that results in a terminating decimal?

Back

If the remainder is 0 when dividing, the decimal is terminating.

Front

How can you determine if a decimal is terminating or repeating?

Back

To determine if a decimal is terminating or repeating, check the prime factors of the denominator when the decimal is expressed as a fraction. If it has only 2s and/or 5s, it is terminating; otherwise, it is repeating.

Front

What is the decimal representation of the fraction 9/12?

Back

The decimal representation of the fraction 9/12 is 0.75, which is a terminating decimal.