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Q: What is a product of any rational number and zero?

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The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.

No. If the rational number is not zero, then such a product is irrational.

Any positive rational number.

Any positive rational number.

Any number will be a rational number when multiplied.0 multiplied by any real number is rational and so it will produce a rational number when multiplied.If x is any non-zero number (rational or not), then since it is non-zero, 1/x is defined and x*(1/x) = 1 which is rational. So any non-zero number will produce a rational number when multiplied.Thus any number will produce a rational number when multiplied.

The product of zero and any number is always 0.

A rational number in essence is any number that can be expressed as a fraction of integers (i.e. repeating decimal). Taking the product of any number of rational numbers will always yield another rational number.

When any number is multiplied by zero, the product is zero.

No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.

All whole numbers are rational. Any rational number divided by another (non-zero) rational number is a rational number.

The denominator of any number cannot be zero because division by zero is not defined.

It is because division by zero is not defined.

A rational number is one that can be expressed as a ratio of two integers, the second of which is not zero. An irrational number is any real number that is not rational.

It is irrational. * The square root of any positive integer, except of a perfect square, is irrational. * The product of an irrational number and a rational number (except zero) is irrational.

-- Every whole number is a rational number. -- Any whole number divided by any whole number (except zero) produces a rational number.

Zero is a rational number, and therefore is NOT an irrational number. The definition of a rational number is any number that can be expressed as a fraction where the numerator and demoninator are both integers, and the denominator is non-zero. Irrational numbers are all real numbers that are not rational numbers. Since zero qualifies under the definition of a rational number, (0/3, for example), it therefore cannot be an irrational number.

There is no simple answer:Zero is smaller than any positive number.Zero can be larger or smaller than a rational number.A rational number can be larger or smaller than a positive number.

Yes, any integer over any other integer (except zero) is always a rational number.

Not necessarily. 0 times any irrational number is 0 - which is rational.

Rational numbers are represented in the form of p/q , where p is an integer and q is not equal to 0.Every natural number, whole number and integer can be represented as rational number.For example take the case of integer -3, it can be represented in the form of p/q as -3/1 and q is not equal to zero, which means that rational numbers consist of counting numbers, whole numbers and integers.Now, what will be the result of product of any two rational numbers?Let us take the case of two rational numbers which are x/y & w/z, their product is equal toxw/yz, which is a rational number because multiplication of x and w results in an integer and also multiplication of y and z results in an integer which satisfies the property of rational numbers, which is in the form of p/q.So, product of any two rational numbers is a rational number.

To divide any number by zero will give infinity and therefore an error.

Yes, any two non-zero integers, when divided will result in a rational number.

Any number which can be represented in the form of a ratio p/q where p and q are non-zero.

yes

At least one of the factors has to be irrational.* An irrational number times ANY number (except zero) is irrational. * The product of two irrational numbers can be either rational or irrational.