Question

Which of the following state ment is not true
(1-)5 is a rational number
(2) additive inverse of 1/3 IS, -1/3
(3)8/0 IS A RATIONAL NUMBER
(4) THE RECIPROCAL OF (-8/7) IS(-7/8)

Answer 1

Answer :

We know rational number can be expressed as $\frac{p}{q}$ , Where q $\ne$ 0 and p and q are integers . Or have decimal digits terminating or non terminating but repeating .
And
5 is a rational number , As we can represent 5 = $\frac{5}{1}$ Where q $\ne$ 0 ,
So,

5 is a rational number .

So , Statement 1 is true .

And

The additive inverse of the number, a = – a

Additive inverse of $\frac{1}{3}$ = – $\frac{1}{3}$ , So statement " 2 " is true .

And
We know rational number can be expressed as $\frac{p}{q}$ , Where q $\ne$ 0 and p and q are integers .So

$\frac{8}{0}$ , Is not a rational number , Here q = 0

So,

statement 3 is not true

And

We know reciprocal of $\frac{a}{b}is\frac{1}{{\displaystyle \frac{a}{b}}}=\frac{b}{a}$ , So

Reciprocal of $-\frac{8}{7}is-\frac{7}{8}$ , So statement " 4 " is also true .

So,

Only statement " 3 " is not true . ( Ans )