To which subsets of real numbers does -22 belong in?
A.) whole numbers
B.) rational numbers
C.) integers *
D.) irrational number *
E.) natural numbers
nevermind, I was right.
Besides being an integer
-22 also belongs to the set of rational numbers
it is NOT an irrational number like you listed
To determine which subsets of real numbers -22 belongs to, we need to understand the definitions of these subsets and then analyze -22.
A.) Whole numbers: Whole numbers include all positive integers (0, 1, 2, 3, ...) as well as the additive inverse of the positive integers (i.e., their negative counterparts, -1, -2, -3, ...). Since -22 is a negative integer, it is not a whole number. Therefore, -22 does not belong to the subset of whole numbers.
B.) Rational numbers: Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero. This includes integers since every integer can be expressed as itself divided by 1. Therefore, -22 is a rational number.
C.) Integers: Integers include all positive and negative whole numbers, as well as zero. Since -22 is a negative whole number, it belongs to the subset of integers.
D.) Irrational numbers: Irrational numbers cannot be expressed as a fraction or ratio of two integers. They do not terminate or repeat in decimal form. Since -22 can be expressed as -22/1, it is not an irrational number.
E.) Natural numbers: Natural numbers include positive integers (1, 2, 3, ...) but do not include negative numbers or zero. Since -22 is a negative number, it is not a natural number.
Therefore, -22 belongs to the subsets of real numbers of rational numbers (option B) and integers (option C).