Question

Is this statement true? Why/ Why not?
-The sum of a rational number and it's additive and multiplicative identities is there a rational number itself.

Answer 1

Answer :

Given statement is true , As we know rational numbers can be expressed in the form of $\frac{p}{q}$ , Where q $\ne$ 0
And
We know Additive identities , As :

a + 0 = a
So,
$\frac{p}{q}$ + 0 = $\frac{p}{q}$
And
Multiplicative identities , As :

a $\times$ 1 = a
So,
$\frac{p}{q}$ $\times$ 1 = $\frac{p}{q}$

So,
We get rational number in both condition , So we can say given statement is true . ( Ans )