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Q: What number produces rational numbers when multiplied by 5?

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Any rational number will do.

It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.

Yes.

The answer will depend on what it is to be multiplied by. Since this part is missing from the question, it is not possible to give a sensible answer.

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.

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Every rational number does.

0.45

1/5

Any rational number will do.

Any irrational number multiplied by 0.5 will remain irrational. Any rational number multiplied by 0.5 will remain rational.

It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that 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 two rational numbers is a rational number. All decimal numbers that terminate or end with a repeating sequence of digits are rational numbers. As both 0.54732814 (as written) and 0.5 are terminating decimals, they are both rational numbers. As 0.54732814 is a rational number and 0.5 is a rational number, their product will also be a rational number.

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

Yes. Since 0.555 and 0.5 are both rational numbers, their product will be rational.

Yes.

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.

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