Terminating and 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 is a terminating decimal.

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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 0.3̅) is a repeating decimal.

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0.45

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0.6

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What does the term 'decimal expansion' mean?

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Decimal expansion refers to the representation of a fraction as a decimal number, which can be terminating or repeating.

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0.4 and it terminates.

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If the remainder is 0 when dividing, what type of decimal do we have?

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Terminating decimal.

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0.333... (or 0.3̅), which is a repeating decimal.

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How can you identify a repeating decimal?

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

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0.25, which is a terminating decimal.