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Q: Is three over four a Real or rational or irrational or integer or whole or counting?

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3 is natural number, a whole number, an integer, a terminating decimal, and a rational number. It is not an irrational number.

No, it isn't. Any square root of an integer is either an integer itself, or irrational.

Rational

Rational

pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.

Not necessarily. The cube roots of 4, 6 and 9 are all irrational (and different). But their product is 6, not just rational, but an integer.

Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.

No, it is an integer, and therefor part of the rational number system. An irrational number is, if I remember correctly, a number that goes on forever, and doesn't have a pattern like π (pi)

Irrational

The sum of the three can be rational or irrational.

No, it is an integer, and therefor part of the rational number system. An irrational number is, if I remember correctly, a number that goes on forever, and doesn't have a pattern like π (pi)

No, it is rational.

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