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Are decimals rational

Updated: 4/28/2022
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βˆ™ 13y ago

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Some are, some aren't.

If the portion after the decimal point:

  • terminates (eg 0.125);
  • does not terminate, but repeats one or more digits (eg 0.333..., 0.181818...)
  • does not terminate, but has one or more digits followed by one or more further digits that repeat (eg 0.16666..., 0.258373737...)

then the decimal is rational.

  • otherwise, if the decimal does not terminate and does not repeat any digits (eg Ï€ = 3.1415726..., √2 = 1.41421...)

then the decimal is irrational (not rational).

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βˆ™ 13y ago
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