Choose which group of sets the following number belongs to. Be sure to account for ALL sets. 8/9
The number 8/9 belongs to the following groups of sets:
1. Rational numbers: since 8/9 can be expressed as a fraction, it is a rational number.
2. Real numbers: all rational numbers are also real numbers, so 8/9 belongs to the set of real numbers.
3. Integers: 8/9 is not an integer since it is a fraction and not a whole number.
4. Natural numbers: 8/9 is not a natural number since it is not a positive whole number.
5. Whole numbers: 8/9 is not a whole number since it is not a positive or negative integer.
Therefore, the number 8/9 belongs to the sets of rational numbers and real numbers.
To determine which group of sets the number 8/9 belongs to, we need to consider all possible sets.
1. Natural Numbers (N): The set of positive whole numbers: 1, 2, 3, ...
- 8/9 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, ...
- 8/9 is not a whole number since it is not a non-negative whole number.
3. Integers (Z): The set of positive and negative whole numbers, including zero: ..., -3, -2, -1, 0, 1, 2, 3, ...
- 8/9 is not an integer since it is not a whole number.
4. Rational Numbers (Q): The set of numbers that can be expressed as fractions, where the numerator and the denominator are integers, and the denominator is not zero.
- 8/9 is a rational number since it can be expressed as a fraction with integers 8 and 9.
Therefore, the number 8/9 belongs to the set of rational numbers (Q).