# Is 6.48 a rational number?

Aug 11, 2016

$6.48$ is clearly rational

#### Explanation:

Rational numbers are those which can be written as a fraction (ie as a ratio between two quantities.)

A rational number can be written as $\frac{a}{b} , \text{where " a and b " are integers, but } b \ne 0$

Rational numbers include all the integers, all the vulgar fractions as well as the terminating and recurring decimals.

Irrational numbers cannot be written as a fraction and are infinite, non-recurring decimals, for example. $\pi , \sqrt{10} , \sqrt{33} , \sqrt{88}$

What about 6.48?

It is a terminating decimal. (it ends)
It can be written as $\frac{648}{100}$

It is the ratio: $162 : 25$

$6.48$ is clearly rational