Q: Is 0.33... rational or irrational

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No. A rational plus an irrational is always an irrational.

rational

It is always irrational.

The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.

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4.6 is rational.

10.01 is a rational number

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is 34.54 and irrational or rational. number

It is a rational number

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Rational.

No

If x is rational the it is rational. If x is irrational then it is irrational.

Rational. Rational. Rational. Rational.

rational

No. A rational plus an irrational is always an irrational.