To which subsets of real numbers does the number –22 belong? Choose all subsets that apply.
whole numbers**
rational numbers
integers**
irrational numbers
natural numbers
Maximum choice is 2
To determine which subsets of real numbers the number -22 belongs to, let's go through each option.
1. Whole numbers: Whole numbers include all positive integers (0, 1, 2, 3, ...) and their negatives (-1, -2, -3, ...). Since -22 is an integer, it is also a whole number. Therefore, -22 belongs to the subset of whole numbers.
2. Rational numbers: Rational numbers can be expressed as a fraction, where the numerator and denominator are both integers. Since -22 can be written as -22/1, it is a ratio of two integers. Thus, -22 is a rational number.
3. Integers: Integers include positive and negative whole numbers, as well as zero. As -22 is an integer, it belongs to the subset of integers.
4. Irrational numbers: Irrational numbers cannot be expressed as a fraction and do not terminate or repeat. Since -22 is not an irrational number (it can be expressed as a ratio of integers), it does not belong to this subset.
5. Natural numbers: Natural numbers are positive integers (1, 2, 3, ...). Since -22 is not a natural number, it does not belong to this subset.
So, the subsets of real numbers that -22 belongs to are the whole numbers and the integers.
not whole numbers
rational
integer