Question

In the following exercise, list the (a) whole number, (b)Integers (c) Rational numbers (d) Irrational numbers (e) Real number for each set of numbers

$-8,0,1.95286...,\frac{12}{15},\sqrt{36},9$

Short answer

(a) Whole number $0,\sqrt{36},9$

(b) Integer $-8,0,\sqrt{36},9$

(c)Rational number $-8,0,\sqrt{36},9,\frac{12}{5}$

(d)Irrational number $1.95286$

(e) Real number$-8,0,1.95286...,\frac{12}{15},\sqrt{36},9$

Step-by-step solution

Step 1, Given the information 

The given numbers are,$-8,0,1.95286...,\frac{12}{15},\sqrt{36},9$

Part (a) Step 1. Whole numbers

Whole number: The whole numbers are the part of the number system in which it includes all the positive integers from 0 to infinity

The whole numbers are$0,\sqrt{36},9$
where$\sqrt{36}=6$

Part (b) Step 1. Integers

Integers; integers are the collection of whole numbers and negative numbers

The integers are$-8,0,\sqrt{36},9$

Part (c) Step 1. Rational numbers

In Maths, a rational number is a type of real number, which is in the form of $\raisebox{1ex}{$p$}\!\left/ \!\raisebox{-1ex}{$q$}\right.$where q is not equal to zero. Any fraction with non-zero denominators is a rational number

Rational numbers arerole="math" localid="1644842349294" $-8,0,\sqrt{36},9,\frac{12}{5}$

Part (d) Step 1. Irrational numbers

Irrational numbers are real numbers that cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio

Irrational number:$1.95286$

Part (e) Step 1. Real numbers

Any number that can be found in the real world is a real number. We find numbers everywhere around us

Real numbers =$-8,0,1.95286...,\frac{12}{15},\sqrt{36},9$