Question

The product of two rational number is always a _____​

Answer 1

Answer:

Rational.

Step-by-step explanation:

"The product of two rational numbers is rational." So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.

I hope it will help you....

Answer 2

Given : The product of two rational number is always a _____​

To Find : Fill in the Blank

Solution:

Rational numbers are the real numbers which can be written in the form p/q where p and q are integers and q≠0

Let say two rational numbers are

a/b   and  c/d

where a , b , c and d are integers

and b , d  ≠ 0

Product of (a/b) and (c/d)

= (a/b) * (c/d)

= (a * c) / ( b * d)

Product of two integers is integer

hence a * c  = m    integer

b * d =  n    integer    as b , d  ≠ 0   Hence b * d ≠ 0

so product of two rational numbers can be written in the form of

m/n   where m , n are integers and n ≠ 0

Hence  Rational Number

so The product of two rational number is always a  RATIONAL NUMBER

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