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 one or more digits that repeat infinitely. For example, 0.333... (which is 1/3) and 0.666... (which is 2/3) are repeating decimals.

Front

Give an example of a terminating decimal.

Back

0.5 is an example of a terminating decimal.

Front

Give an example of a repeating decimal.

Back

0.142857142857... is an example of a repeating decimal, which is equal to 1/7.

Front

How can you identify a repeating decimal?

Back

A repeating decimal can be identified by the presence of a digit or group of digits that continues indefinitely after the decimal point.

Front

What is the decimal representation of 1/4?

Back

The decimal representation of 1/4 is 0.25, which is a terminating decimal.

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What is the decimal representation of 1/3?

Back

The decimal representation of 1/3 is 0.333..., which is a repeating decimal.

Front

Can a decimal be both terminating and repeating?

Back

No, a decimal cannot be both terminating and repeating. A terminating decimal has a finite number of digits, while a repeating decimal has an infinite number of repeating digits.

Front

What is the difference between 0.5 and 0.555...?

Back

0.5 is a terminating decimal, while 0.555... is a repeating decimal.

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How do you convert a repeating decimal to a fraction?

Back

To convert a repeating decimal to a fraction, you can set the decimal equal to a variable, multiply to eliminate the repeating part, and then solve for the variable.