To which subsets of real numbers does the number -22 belong?
Whole numbers
Rational numbers
Integers
Irrational numbers
Natural numbers
The number -22 belongs to the following subsets of real numbers:
- Integers: -22 is an integer because it is a whole number that can be either positive or negative.
- Rational numbers: -22 is a rational number because it can be expressed as a ratio of two integers. In this case, -22 can be written as -22/1 or -44/2, both of which are ratios of integers.
- Whole numbers: -22 is not a whole number because whole numbers are only positive or zero. -22 is negative.
- Irrational numbers: -22 is not an irrational number because it can be expressed as a ratio of two integers, making it a rational number.
- Natural numbers: -22 is not a natural number because natural numbers are positive integers. -22 is negative.
The number -22 belongs to the following subsets of real numbers:
1. Integers: -22 is an integer since it is a whole number without a fractional or decimal part.
2. Rational numbers: -22 is also a rational number because it can be expressed as the ratio of two integers (-22/1).
3. Real numbers: -22 is a real number because it exists on the real number line.
However, -22 does not belong to the subsets of:
1. Whole numbers: Whole numbers include only non-negative integers, so -22 is not a whole number.
2. Irrational numbers: Irrational numbers cannot be expressed as a fraction and have a non-repeating, non-terminating decimal representation. Since -22 can be expressed as a fraction (-22/1) and has a terminating decimal representation (-22.0), it is not an irrational number.
3. Natural numbers: Natural numbers include only positive integers, so -22 is not a natural number.