Chapter 9, Problem 1IR

To determine

The type of given number.

Answer to Problem 1IR

real number, whole number, integers and rational numbers.

Explanation of Solution

Given information:

A number is given as $0$ .

Calculation:

  $1.)$ All number which can be placed on a real number line are real numbers.

  $2.)$ Set of natural numbers is given as, $\{1,2,3,4,\mathrm{...}\}$ .

  $3.)$ Set of whole numbers is given as, $\{0,1,2,3,4,\mathrm{...}\}$ .

  $4.)$ Set of integers is given as, $\{-3,-2,-1,0,1,2,3,4,\mathrm{...}\}$ .

  $5.)$ Rational numbers are those number which can be expressed as $\frac{p}{q}$ where $p$ and $q$ are integers.

  $6.)$ Irrational numbers are not rational.

Given number is $0$ .

Hence, $0$ belongs to set of real number, whole number, integers and rational numbers.