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Chapter 1: Q63. (page 39)

Name the sets of numbers to which each number belongs.

63. 31

Short Answer

Expert verified

31 belongs to Natural (N), Whole (W), Integer (Z), Rational (Q), Real (R).

Step by step solution

01

- Define real numbers.

A number that can be stated as an infinite decimal expansion.

Real numbers are numbers that include both rational and irrational numbers.

02

- State the explanation.

All numbers that is whole numbers, integers, natural number, rational and irrational numbers are real numbers.

Here, the number is 31.

Natural numbers are 1,2,3,.... Then 31 is a natural number.

Whole numbers are 0,1,2,3,.... Then 31 is a whole number.

Integers are ...,-3,-2,-1,0,1,2,3,.... Then 31 is an integer.

Since 31 can be expressed as mn form that is 311 then it is a rational number.

As it is rational number then it is a real number.

03

- State the conclusion.

Therefore, the set of numbers to which 31 belongs is:

Natural (N), Whole (W), Integer (Z), Rational (Q), Real (R).

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