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Q: Why is the sum and product of two rational numbers is rational?

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The sum of two rational numbers is rational.From there, it follows that the sum of a finite set of rational numbers is also rational.

The product of two rational numbers is always a rational number.

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.

They are always rational.

If the product of two numbers is 4.2 and their sum is 4.4. then the numbers are 3 and 1.4.

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Yes, it is.

The sum of two rational numbers is rational.From there, it follows that the sum of a finite set of rational numbers is also rational.

Such a sum is always rational.

The product of two rational numbers is always a rational number.

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.

They are always rational.

A rational number is one that can be expressed as a/b The sum of two rational numbers is: a/b + c/d =ad/bd + bc/bd =(ad+bc)/bd =e/f which is rational The difference of two rational numbers is: a/b - c/d =ab/bd - bc/bd =(ab-bc)/bd =e/f which is rational The product of two rational numbers is: (a/b)(c/d) =ac/bd =e/f which is rational

Yes, it is.

No - the sum of any two rational numbers is still rational:

When dealing with numbers greater than one, the sum will never be greater than the product. This question has no rational answer.

It will be rational.

The product will also be a rational number

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