Terminating or 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. For example, 0.75 is a terminating decimal.

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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. For example, 0.333... is a repeating decimal.

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Convert 1/4 to a decimal.

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0.25

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Convert 3/8 to a decimal.

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0.375

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Convert 2/5 to a decimal.

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0.4

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Convert 7/12 to a decimal.

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0.5833... (repeating) or 0.58 with a repeating 3.

Front

What is the decimal representation of 1/3?

Back

0.333... (repeating) or 0.33 with a repeating 3.

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How do you identify a terminating decimal?

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

Front

How do you identify a repeating decimal?

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A decimal is repeating if its denominator (in simplest form) has prime factors other than 2 and 5.

Front

Convert 5/6 to a decimal.

Back

0.833... (repeating) or 0.83 with a repeating 3.