Question

Rational numbers fail to satisfy inverse property under multiplication for zero.
Why?​

Answer 1

Closure property of multiplication of rational numbers:

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

If a/b and c/d are any two rational numbers then (a/b × c/d) is also a rational number.

For example:

(i) Consider the rational numbers 1/2 and 5/7. Then, 

(1/2 × 5/7) = (1 × 5)/(2 × 7) = 5/14, is a rational number . 

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