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A rational number can be stated in the form a/b where and b are integers. Adding or multiplying such numbers always gives another number that can be expressed in this form also. So it is also rational.

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2012-08-22 17:16:45
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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

Is the sum or product of two rational numbers is rational?

Yes, it is.


Is the sum of two or more rational numbers is it rational or irrational?

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.


Is the sum of two rational numbers is it rational or irrational?

Such a sum is always rational.


Is the product of two rational numbers irrational?

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


What is an irrational plus two rational numbers?

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.


Are the sum of two rational numbers rational or irrational?

They are always rational.


Why the sum difference and product of 2 rational numbers 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


Is the sum of two rational numbers a rational number?

Yes, it is.


Is the sum of a rational number irrational?

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


What are the two numbers with aproduct of 12 and a sum of 23?

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


What is true about the product of two rational numbers?

It will be rational.


What are the product of two rational numbers?

The product will also be a rational number

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