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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
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Earn +20 ptsQ: Why the sum difference and product of 2 rational numbers rational?
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Continue Learning about Other Math
What is the sum of the rational numbers?
The sum of any finite set of rational numbers is a rational number.
What is the sum or difference of the any two irrational numbers?
The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.
The product of two numbers is 144 and their difference is 10 What is the sum of the two numbers?
26
How do you know that the sum of (-2 34) and 59 rational?
Because both of those numbers are rational. The sum of any two rational numbers is rational.
What is the product of two whole numbers if their sum is 21 and positive difference is 5?
The numbers are 13 and 8 The product is 104
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