Terminating and Repeating Decimals

Front

What is a terminating decimal?

Back

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

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Front

What is a repeating decimal?

Back

A repeating decimal is a decimal that has a pattern of digits that repeats infinitely.

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Front

How can you identify a terminating decimal from a fraction?

Back

A fraction is a terminating decimal if, when simplified, its denominator has only the prime factors 2 and/or 5.

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Front

What is the decimal representation of the fraction 1/4?

Back

0.25, which is a terminating decimal.

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Front

What is the decimal representation of the fraction 1/3?

Back

0.333..., which is a repeating decimal.

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Front

What does it mean if a decimal has a bar notation?

Back

Bar notation indicates that the digits under the bar repeat indefinitely.

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Front

Convert the fraction 3/8 to a decimal.

Back

0.375, which is a terminating decimal.

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Front

What is the relationship between fractions and decimals?

Back

Fractions can be expressed as decimals, and they can be either terminating or repeating.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal over its place value and simplify.

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CCSS.7.NS.A.2D

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Front

What is the decimal equivalent of 0.75?

Back

3/4, which is a terminating decimal.

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