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Q: Why does a rational number plus a rational number or a rational number multiplied by a rational number equal to rational number?

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No, never.

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.

Yes

Yes, always.

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

Yes, it is.

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

Yes, the sum is always rational.

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.

That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.

That depends what the value of a is.

They add up to 17.02 which is rational number

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