Question

Name the sets of numbers to which each number belongs.

63. $31$

Short answer

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

Step-by-step solution

- 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.

- 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 $\left\{1,2,3,...\right\}$. Then 31 is a natural number.

Whole numbers are $\left\{0,1,2,3,...\right\}$. Then 31 is a whole number.

Integers are $\left\{...,-3,-2,-1,0,1,2,3,...\right\}$. Then 31 is an integer.

Since 31 can be expressed as $\frac{m}{n}$ form that is $\frac{31}{1}$ then it is a rational number.

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

- State the conclusion.

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

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