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No. Any fraction can be written as a repeating decimal - and vice versa. For example, take the repeating decimal (which I call "x"):

x = 0.4123123123...

Now multiply that by 1000:

1000x = 412.3123123123...

Subtract the first quation from the second, and you get:

999x = 411.9

Solving for x:

9990x = 4119

x = 4119/9990

This is a fraction of whole numbers, therefore, a rational number.

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8y ago
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Wiki User

13y ago

Yes.

Irrational Numbers are never-ending numbers.

Examples: Pi, repeating decimals, imperfect squares

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Q: Can an irrational number be a repeating decimal?
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