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Which describes all decimals that are rational numbers?

A. the decimal terminates or repeats.
B. the decimal terminates and does not repeat.
C. the decimal neither terminates nor repeats.
D. the decimal repeats and does not terminate.

2 Answers

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The answer is aaaaaaaaaaaaaaaaaaaa
User Jan Deinhard
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Answer: A. the decimal terminates or repeats.

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Step-by-step explanation:

A terminating decimal example would be something like 0.2 which converts to the rational number, aka fraction, 1/5. The word "terminate" means "stop", so it's any decimal that doesn't go on forever.

A repeating decimal is something like 0.33333 where the 3s go on forever, and that converts to 1/3.

If any of these conditions happen, then the number is rational.

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For something like pi = 3.14159... where there isn't a pattern and it goes on forever, then we consider this number irrational. The term "irrational" literally means "not rational". So this allows us to rule out choice C.

Choices B and D are partially true, but they only paint half the picture needed to form all rational numbers. Choice A is the most complete statement.

In other words, while choice B is technically true, it leaves out repeating decimals. Choice D is the same way but it leaves out terminating decimals. So we can rule out choices B and D.

User Yehia Awad
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