## anonymous one year ago -7.832198653 . . . is rational or irrational

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1. whpalmer4

is that all of the digits?

2. anonymous

that's all of the digits

3. whpalmer4

if you can write down all of the digits, it is rational. a rational number is one that can be represented by a fraction $$p/q$$ where $$q\ne 0$$. Any finite string of digits is obviously a fraction. An infinite string of digits that repeats is also rational, such as $$1/3 = 0.3333333333...$$ If it doesn't end and does not repeat, then it must be irrational.

4. whpalmer4

Your number can be written as $-7\frac{832198653}{1000000000}$so it is rational

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