Terminating and Repeating Decimals

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What is a terminating decimal?

Back

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

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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.

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Is 0.3535 a repeating decimal?

Back

No, 0.3535 is not a repeating decimal; it is a terminating decimal.

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Front

What is the decimal expansion of 11/40?

Back

The decimal expansion of 11/40 is 0.275, which is a terminating decimal.

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What is 2 divided by 3 as a decimal?

Back

2 divided by 3 as a decimal is 0.666..., which is a repeating decimal.

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Is 0.444444444... a repeating decimal?

Back

Yes, 0.444444444... is a repeating decimal.

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Front

How can you identify a terminating decimal from a fraction?

Back

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

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Front

What is the difference between terminating and repeating decimals?

Back

Terminating decimals have a finite number of digits after the decimal point, while repeating decimals have digits that continue infinitely in a repeating pattern.

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Front

Give an example of a fraction that results in a terminating decimal.

Back

An example of a fraction that results in a terminating decimal is 1/4, which equals 0.25.

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Front

Give an example of a fraction that results in a repeating decimal.

Back

An example of a fraction that results in a repeating decimal is 1/3, which equals 0.333... .

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