Question

Name the set(s) of numbers to which -10 belongs.

Answer 1

-10 belongs to integers, rational numbers, and real numbers.

Answer 2

-10 belongs to the set of negative integers and rational numbers thus belongs to the set of real numbers also.

Explanation:

A rational number is a number that can be expressed as a fraction
`(p)/(q)` where p and q are integers and
`q\\eq 0`

Negative integers are the numbers less than zero but not a fraction and is written with a minus sign. example = -2 , -99 , -40 etc.

Real numbers includes all rational numbers , integers, irrationals, natural numbers, whole numbers.

Thus, the given number -10 belongs to the set of rational numbers and -10 can be written as
`-10=(-10)/(1)` where -10 and 1 are integers and
`1\\eq 0`.

also, -10 belongs to the set of negative integers.

Thus, -10 belongs to the set of negative integers and rational numbers thus belongs to the set of real numbers also.