List the (a) Whole numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers for the given set of numbers : -8,0,1.95286...,125,36,9.

Short Answer

Expert verified

(a) Whole numbers :0,36,9.

(b) Integers : -8,0,36,9.

(c) Rational numbers : -8,0,125,36,9.

(d) Irrational numbers : 1.95286....

(e) Real numbers : -8,0,1.95286...,125,36,9.

Step by step solution

01

Given Information .

The given set of numbers is :

-8,0,1.95286...,125,36,9.

We need to classify them into the categories of (a) Whole numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers.

02

Defining the categories.

(a) Whole numbers : The number that is not a fraction or decimal and includes zero and all the natural numbers .

(b) Integers : They are whole numbers that can be positive, negative or zero.

(c) Rational numbers : Numbers that are expressed as the ratio of two integers, where the denominator should not be equal to zero.

(d) Irrational numbers : Any number that cannot be written as a fraction of a whole number.

(e) Real numbers : Rational numbers and irrational numbers or any number that we can think of, except complex numbers is a real number.

03

Listing the given numbers in their categories .

(a) Whole numbers : 0,36,9.

(b) Integers : -8,0,36,9.

(c) Rational numbers : -8,0,125,36,9.

(d) Irrational numbers : 1.95286....

(e) Real numbers :-8,0,1.95286...,125,36,9.

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