To which subsets of real number does the number -22 belong?
The number -22 belongs to the following subsets of real numbers:
1. Integer numbers: -22 is an integer because it is a whole number that does not have any fractional or decimal part.
2. Rational numbers: -22 is a rational number because it can be expressed as a fraction -22/1, where both the numerator and denominator are integers.
3. Real numbers: -22 is a real number because it is a number that can be found on the real number line.
To determine the subsets of real numbers to which the number -22 belongs, we need to consider the various types of subsets. Here are a few commonly used subsets of real numbers:
1. Natural Numbers (N): The set of positive whole numbers {1, 2, 3, ...}. The number -22 is not a natural number since it is not a positive whole number.
2. Whole Numbers (W): The set of non-negative whole numbers {0, 1, 2, 3, ...}. The number -22 is not a whole number since it is negative.
3. Integers (Z): The set of positive and negative whole numbers, including zero {..., -3, -2, -1, 0, 1, 2, 3, ...}. The number -22 is an integer since it is a negative whole number.
4. Rational Numbers (Q): The set of numbers that can be expressed as a fraction p/q, where p and q are integers and q is not equal to 0. The number -22 can be expressed as -22/1, so it is a rational number.
5. Real Numbers (R): The set of all possible numbers, including both rational and irrational numbers. The number -22 is a real number since it can be expressed as a finite, terminating decimal (-22.0).
Therefore, the number -22 belongs to the subsets of real numbers:
- Integers (Z)
- Rational Numbers (Q)
- Real Numbers (R)