Question

If r/s is a rational number, then s cannot be equal to zero. True or False? Why?

Answer 1

True . as the definition itself states that r/s is rational when r and s are integers and s is not equal to 0 . or if you don't believe the the definition try it practically . take any example of yourself .
let it be 3/6 , if you replace s by 0 the answer will come 3/0 = undefined

Answer 2

Given:

Rational number = $\dfrac{r}{s}$, where x is not equal to zero (0)

State the given statement. (true/False)

Solution:

We know that,

The definition of rational number is defined as "it can be written as $\dfrac{r}{s}$ form (where, s ≠ 0) is called as rational number.

For example:

0 is a rational number,because, it can be written as $\dfrac{0}{5}$, 5 ≠ 0

$\dfrac{5}{0}$ = ∞ is not a rational number.

Thus, the given statement is "true".