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Q: What is multiplication of a rational number by zero?

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Division by a non-zero rational number is equivalent to multiplication by its reciprocal.

Dividing by a rational number (other than zero) is simply multiplication by its reciprocal.

Zero is a rational number and an integer.

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

A rational number is not. But the set of ALL rational numbers is.

A rational number can be expressed as a fraction or ratio of two integers. Zero is an integer. Therefore, zero is a rational number EXCEPT, that the denominator of a rational number cannot be zero. You can't divide by zero.

Division by any non-zero number is the same as multiplication by its reciprocal.

Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.

It is rational.

The multiplication property of zero is that any number multiplied with zero equals zero. For any real number a, a*0 = 0.

Zero is a rational number, not imaginary.

The answer is zero. It is rational, precise, and exact.

Zero (0) is a rational number, because it is a whole number and an integer.

The way in which the binary functions, addition and multiplication, are defined on the set of rational numbers ensures that the set is closed under these two operations.

zero

Zero times any number is equal to zero.

Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)

It the combination is multiplication and the rational number is 0, then the result is rational. Otherwise it is irrational.

No. Zero is the identity element of addition. One is the identity element of multiplication. That means that adding zero, or multiplying by one, doesn't change the number.

Unless the rational number is zero, the answer is irrational.

Rational numbers are closed under multiplication, because if you multiply any rational number you will get a pattern. Rational numbers also have a pattern or terminatge, which is good to keep in mind.

The special property that zero has is that if you multiply zero by any number, you get zero.

You use a negative rational number when an answer is below zero.

Any positive rational number.

Any positive rational number.