Chapter 1, Problem 25MCQ

Solution

To Explain: Why every integer is also a rational number.

Concept used:

Any number in the form of $\frac{p}{q}$ where $p\text{and}q$ are integer such $q\ne 0$ is rational number.

Integer include the set of positive, negative whole number. Set of integers is denoted by $z\in \mathbb{Z}$

Description:

Thus Any integer $z\in \mathbb{Z}$ can be expressed as $\frac{z}{1}$ which is equivalent to the form of rational number as both numerator and denominator are integer and denominator is not equal to zero.

Thus, any integer can be written in form $\frac{p}{q}$ which is rational.

Conclusion:

Any integer is also a rational number.