to which subset of the real numbers does -18 not belong
To determine the subset of real numbers to which -18 does not belong, we need to understand the different subsets of real numbers.
The real numbers can be divided into several subsets, including natural numbers (N), whole numbers (W), integers (Z), rational numbers (Q), and irrational numbers (I), among others.
1. Natural numbers (N) include all positive integers starting from 1: {1, 2, 3, 4, ...}.
2. Whole numbers (W) include all non-negative integers, including 0: {0, 1, 2, 3, ...}.
3. Integers (Z) include both positive and negative whole numbers, including 0: {..., -3, -2, -1, 0, 1, 2, 3, ...}.
4. Rational numbers (Q) are numbers that can be expressed as fractions of integers, where the denominator is not zero. Rational numbers include integers, fractions, and terminating or repeating decimals.
5. Irrational numbers (I) are numbers that cannot be expressed as fractions and have an infinite number of non-repeating decimal places. Examples include the square root of 2 ( √2 ), pi ( π ), and e, the base of the natural logarithm.
Since -18 is an integer, it belongs to the subset of integers (Z). Therefore, -18 does not belong to subsets such as natural numbers (N), whole numbers (W), rational numbers (Q), or irrational numbers (I).