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. For example, 0.75 and 2.5 are terminating decimals.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal number that has a digit or a group of digits that repeat infinitely. For example, 0.333... (or 0.3̅) and 0.666... (or 0.6̅) are repeating decimals.

Front

Convert the fraction 1/2 to a decimal.

Back

0.5

Front

Is the decimal representation of 1/12 terminating or repeating?

Back

Repeating

Front

Is the decimal representation of 9/12 terminating or repeating?

Back

Terminating

Front

What is the decimal expansion of 11/40?

Back

0.275 (Terminating)

Front

How can you identify if a fraction will result in a terminating decimal?

Back

A fraction will result in a terminating decimal if its denominator (in simplest form) has only the prime factors 2 and/or 5.

Front

What is the decimal representation of 1/3?

Back

0.333... (Repeating) or 0.3̅

Front

What is the decimal representation of 1/4?

Back

0.25 (Terminating)

Front

What is the decimal representation of 2/5?

Back

0.4 (Terminating)