Terminating vs. Repeating Decimals

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What is a terminating decimal?

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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.

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What is a repeating decimal?

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A repeating decimal is a decimal number that has one or more digits that repeat infinitely. For example, 0.333... (or 0.ar{3}) and 0.666... (or 0.ar{6}) are repeating decimals.

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

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

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What is the overbar notation for the repeating decimal 0.666...?

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0.ar{6}

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What is the overbar notation for the repeating decimal 0.121212...?

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0.ar{12}

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Convert the decimal 0.7 to a fraction.

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Convert the decimal 0.777... to a fraction.

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