Question

To which sets of numbers does −14 belong?

Select each correct answer.

irrational numbers

integers

real numbers

rational numbers

Answer 1

real number, rational number, and integer

Answer 2

Answer: integers

real numbers

rational numbers

Explanation:

The given number is -14, which is an integer.

Therefore, it belongs to the set of integers {.............-3,-2,-1,0,1,2,3,4,......}.

The set of integers is contained in the set of rationals which contains all of the above subsets and fractions (where denominator ≠ 0) ,terminating and repeating decimals.

Therefore, -14 also belongs to the set of rationals.

Also the set of rationals is contained in set of real numbers.

Therefore, -14 also belongs to the set of real numbers.

Since, Irrational numbers the numbers which can not expressed in the fraction form as p/q and also they are non-terminating .

⇒ -14 is not an irrational number.