To which subsets of real numbers does the number -22 belong? Choose all subsets that apply
(1 point)
whole numbers
rational numbers
0 0 integers
irrational numbers
☐ natural numbers
The number -22 belongs to the following subsets of real numbers:
- Integers
- Rational numbers
- Whole numbers
The number -22 belongs to the following subsets of real numbers:
- whole numbers
- integers
- rational numbers
So, the correct answer choices would be:
✓ whole numbers
✓ rational numbers
✓ integers
To determine which subsets of real numbers the number -22 belongs to, we need to understand the definitions of each subset:
1. Whole numbers: Whole numbers include all positive numbers from zero onwards, including zero itself. However, whole numbers do not include negative numbers. Since -22 is negative, it does not belong to the subset of whole numbers.
2. Rational numbers: Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers and the denominator is not zero. -22 can be expressed as -22/1, which makes it a rational number.
3. Integers: Integers include all whole numbers (positive numbers from zero onwards, including zero) as well as their negations. Since -22 is a negative whole number, it is an integer.
4. Irrational numbers: Irrational numbers are numbers that cannot be expressed as a fraction and have an infinite non-repeating decimal representation. -22 can be expressed as a fraction and does not have an infinite non-repeating decimal representation, so it is not an irrational number.
5. Natural numbers: Natural numbers, also known as counting numbers, include all positive numbers starting from 1. Since -22 is negative, it does not belong to the subset of natural numbers.
Based on the explanations above, the subsets of real numbers to which the number -22 belongs are:
- Rational numbers
- Integers
Please note that this explanation is based on the traditional definitions of these subsets. Different textbooks or contexts might have slightly different definitions.