To which subsets of real numbers does the number –22 belong? Choose all subsets that apply.
(1 point)
Responses
whole numbers
whole numbers
rational numbers
rational numbers
integers
integers
irrational numbers
irrational numbers
natural numbers
natural numbers
The number -22 belongs to the subsets of real numbers called integers and rational numbers.
To determine which subsets of real numbers the number -22 belongs to, let's examine each option:
1. Whole numbers: Whole numbers include all the positive integers (1, 2, 3, ...) and zero. Since -22 is not a positive integer or zero, it is not a whole number.
2. Rational numbers: Rational numbers are those that can be expressed as a fraction of two integers. Since -22 can be written as -22/1, it is a rational number.
3. Integers: Integers include all positive and negative whole numbers, including zero. Since -22 is a negative whole number, it is an integer.
4. Irrational numbers: Irrational numbers are those that cannot be expressed as a fraction and have non-repeating, non-terminating decimals. Since -22 can be written as -22.000..., it is not an irrational number.
5. Natural numbers: Natural numbers are positive integers starting from 1. Since -22 is not positive, it is not a natural number.
Based on the above analysis, the number -22 belongs to the subsets of rational numbers and integers.