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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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Related Questions

Is an irrational number plus an irrational number equal a rational or an irrational number?

An irrational number is a number that has no definite end. So it can't be multiplied or divided by anything to make a rational number that does have a definite end.


Can a rational number plus an irrational number equal a rational number?

No, never.


Does an irrational number plus a rational number equal an irrational number?

Yes


Does an irrational plus a rational number equal an irrational number?

Yes, always.


If x is a rational number and y is a rational number than is x plus y rational?

If both numbers are rational then x plus y is a rational number


Is a rational number plus a rational number always a rational number?

Yes, it is.


Why does a negative number plus a negative number equal a positive number?

It does not. A negative number multiplied by a negative number equals a positive number.


Why does a rational number plus an irrational number equal an irrational number?

from another wikianswers page: say that 'a' is rational, and that 'b' is irrational. assume that a + b equals a rational number, called c. so a + b = c subtract a from both sides. you get b = c - a. but c - a is a rational number subtracted from a rational number, which should equal another rational number. However, b is an irrational number in our equation, so our assumption that a + b equals a rational number must be wrong.


Is a Rational number plus rational number equals rational number?

Yes, the sum is always rational.


What is plus multiplied by plus?

Well, darling, when you multiply a positive number by another positive number, you always end up with a positive result. So, in this case, plus multiplied by plus equals a positive number. It's as simple as that, sugar.


Is 17 plus 0.02 rational or irrational?

They add up to 17.02 which is rational number


Is a rational number plus a rational number rational?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.