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Subjects>Math>Math & Arithmetic

What can you say about the decimal expansion of any rational number?

Anonymous

∙ 11y ago

Updated: 9/24/2023

If its a rational number then its decimal equivalent can be expressed as a fraction

Wiki User

∙ 11y ago

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Q: What can you say about the decimal expansion of any rational number?

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Is 5 over 2 an irrational number?

No, actually 2/5 is equal to .4 which is perfectly rational. Irrational numbers have an infinitely long decimal expansion. This is just one digit. Any rational number divided by any other rational number gives another rational number. Having an infinitely long decimal expansion is a necessary but not sufficient criterion for irrationality... for example, 1/3 is rational, though its decimal expansion is the infinitely long 0.33333333...

Is decimal a rational number?

It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.

Is 6.121231234. a rational number?

Yes, it is. Any terminating or a non-terminating recurring decimal is a rational number. In this case, the decimal is terminated. And so, this number is a rational number.

What are the properties of the operation rational number?

Any number or decimal number that can be expressed as fraction is rational.

Is 5.010010001 a rational number?

Yes. Any terminating decimal is rational.

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