Question

Which number belongs in the integers area on the Venn diagram?

A) −19
B) −5
9

C) 12
D) 14.25

Answer 1

-19 - Integer

-5 - Integer

12 - Whole Number

14.25 - Rational Numbers

Explanation:

Whole numbers = {0, 1 , 2, 3, . . . }

They are the the natural numbers and zero.

Integers: {. . . , -3, -2, -1, 0 , 1, 2, 3, . . . }

Rational Numbers: These are the numbers that can be written in the form of
`$ (p)/(q) $` where
`$ q \\e 0 $`.

Note that All Whole numbers are integers.

All Integers are in turn Rational Numbers. (When q = 1, we get all the integers.).

In the given problem, we have: -19 Negative number. It should be an Integer.

Similarly -5 is also an integer.

12 is a whole number. Note that it is also an integer. Consequently, a rational number.

And 14.25 =
`$ (1425)/(100) $` is in the form of
`$ (p)/(q) $`. So it is a rational number.