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Why the sum difference and product of 2 rational numbers rational?
Wiki User
∙ 12y ago
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
Wiki User
∙ 12y ago
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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
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 difference of two rational numbers always rational?
Yes. This is the same as asking for one rational number to be subtracted from another; to do this each rational number is made into an equivalent rational number so that the two rational numbers have the same denominator, and then the numerators are subtracted which gives a rational number which may possibly be simplified.
What is the sum of the rational numbers?
The sum of any finite set of rational numbers is a rational number.
Is the sum of two rational numbers is it rational or irrational?
Such a sum is always rational.
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.
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 a rational number that can be expressed as the sum or difference of a finite number of unite whole numbers?
integer
The product of two numbers is 144 and their difference is 10 What is the sum of the two numbers?
26
What is the product of two numbers if the sum of the two numbers is 5 and their difference is 11?
8
What sum of two numbers is 15 difference of the numbers is 3 find the numbers what is their product?
six, nine 9 + 6 = 15 (sum) 9 - 6 = 3 (difference) 9 x 6 = 54 (product)
What sum of two numbers is 16 difference of the numbers is 6 find the numbers what is their product?
five, eleven 11 - 5 = 6 (difference) 11 + 5 = 16 (sum) 11 x 5 = 55 (product)
