Question

Every rational number is an integer. Why or why not? Give example

Answer 1

Rational numbers:

Rational numbers are numbers which can be expressed as a fraction and also as positive numbers, negative numbers and zero. It can be written as $\frac{p}{q}$, where $q$ is not equal to zero.

An integer is a number which can be positive or negative or zero. Integers are numbers which cannot be decimals or fractions. They are either whole numbers or negative numbers.

Example:

$\frac{2}{5}$ is not an integer. Since we cannot express $\frac{2}{5}$without a fractional or decimal point.

$\frac{-5}{-5}$is an integer. If we simplify$\frac{-5}{-5}$ to its lowest form we get 1 which is an integer.

Therefore, every integer is a rational number but every rational number need not be an integer.