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11 points

1/3 is a rational number, because it can be depicted by a ratio of two integers. You clearly don’t know what you’re talking about, you’re getting basic algebra level facts wrong. Maybe take a hint and read some real math instead of relying on your bad intuition.

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-11 points

1/3 is rational.

.3333… is not. You can’t treat fractions the same as our base 10 number system. They don’t all have direct conversions. Hence, why you can have a perfect fraction of a third, but not a perfect 1/3 written out in base 10.

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5 points

.333… is rational.

at least we finally found your problem: you don’t know what rational and irrational mean. the clue is in the name.

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1 point

TBH the name is a bit misleading. Same for “real” numbers. And oh so much more so for “normal numbers”.

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14 points

0.333… exactly equals 1/3 in base 10. What you are saying is factually incorrect and literally nonsense. You learn this in high school level math classes. Link literally any source that supports your position.

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