Question

The product of two rational numbers

Answer 1

Answer:

'The product of two rational numbers is rational'                        

Step-by-step explanation:

Statement 'The product of two rational numbers'.

We know that, 'The product of two rational numbers is rational'.

We can prove it,

Let $\frac{a}{b}$ and $\frac{p}{q}$ are two rational number.

Where, a,b,p,q are integers and $b,q\neq 0$

Now, Product the two rational number

$\frac{a}{b}\times \frac{p}{q}=\frac{ap}{bq}$

Since, ap and bq are integers and $bq\neq 0$

Thus, $\frac{ap}{bq}$ is an fraction with integers in the numerator and denominator making it a rational number.

Therefore, 'The product of two rational numbers is rational' is true.