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When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.

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If the rational number is zero, he answer is also zero, a rational number. Otherwise the answer is irrational.

Q: What happens when a rational number is divided by an irrational number?

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The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.

7.5

It is a rational number.

If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.

Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]

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Irrational.

Yes. Any irrational number can be divided by itself to produce 1, which is a rational number.

Such a product is always irrational - unless the rational number happens to be zero.

0.4444

No. sqrt(2)/pi is not rational.

No. It is not defined if the rational number happens to be 0.

Yes it will be. The set of real numbers can be divided into two distinct sets: rational and irrational. So if it is not rational, then it is irrational.

Rational number can be divided into more that the number 2. Irrational number are numbers that can only be divided evenly with the number 2.

It is irrational - unless the divisor is 0 in which case the division is not defined.

1.2667

No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.

no, it is irrational.