Which number belongs only in the rational numbers area of the diagram?

Responses
A −6
B 0
C 5.75
D 7

1 answer

The rational numbers are represented by the numbers that can be expressed as a fraction, where the numerator and denominator are both integers.

Out of the given options, A (-6) and D (7) are integers, so they can be expressed as fractions (e.g. -6/1, 7/1).

Option B (0) can also be expressed as a fraction, 0/1.

However, option C (5.75) cannot be expressed as a fraction with integer numerator and denominator. It is a decimal number, so it belongs to the irrational numbers.

Therefore, the number that belongs only in the rational numbers area of the diagram is C, 5.75.