To which sets of numbers does −12 belong?

Question

Select each correct answer.

Responses

integers
integers

real numbers
real numbers

natural numbers
natural numbers

irrational numbers

Answer 1

The number −12 can be categorized into the following sets of numbers:

1. Integers: Yes, −12 is an integer. The set of integers includes all whole numbers, both positive and negative, including zero.

2. Real numbers: Yes, −12 is a real number. The set of real numbers includes all rational and irrational numbers, and since integers are also real numbers, −12 is included.

3. Natural numbers: No, −12 is not a natural number. The set of natural numbers typically includes positive integers (1, 2, 3, ...) and sometimes zero, but never negative numbers.

4. Irrational numbers: No, −12 is not an irrational number. Irrational numbers are numbers that cannot be expressed as a fraction of two integers, and −12 can be expressed as −12/1 (which is a rational number).

In summary, −12 belongs to the sets integers and real numbers.