Question

3) Use the diagram to help you answer the question below.

Rational numbers
Integers
-88
-10.1
-191
Whole numbers
22
Which of the following is both a rational number and a whole number?
-88
-10.1
-191
22

Answer 1

The number that both a rational number and a whole number is 22

Explanation:

The whole numbers are the non-negative integers

• Whole numbers ∈ the set of Integers

• Whole numbers ∈ the set of Rational numbers

The integers are rational numbers with denominators 1

• Integers ∈ the set of Rational numbers

The rational numbers are the numbers that can be written in the form of
`(a)/(b)` ,

b ≠ 0

Let us study the numbers in the figure:

The set of whole numbers ⊂ the set of integers ⊂ the set of rational numbers

∵ 22 ∈ the set of whole numbers

∴ 22 is a whole number

∴ 22 is a whole number and an integer

∴ 22 is a whole number, an integer, and a rational number

The set of integers ⊂ the set of rational

∵ -88 and -191 ∈ the set of integers

∴ -88 and -191 are integers

∴ -88 and -191 are integers and rational numbers

∵ -10.1 ∈ The set of rational numbers

∴ -10.1 is a rational number

Let us answer the question

→ We need to find a number that is a rational number and a whole number,

which means it must ∈ to the set of the whole numbers

∵ We only have one number ∈ the set of whole numbers, it is 22

∴ The number that both a rational number and a whole number is 22