Determine if the given number belongs to the set.
50/10
Natural
Whole
Integers
Rational
Irrational
Real
The given number is 50/10, which is equal to 5.
- Natural: 5 is a natural number because it is a positive whole number.
- Whole: 5 is a whole number because it is a positive number without any fractional or decimal parts.
- Integers: 5 is an integer because it is a positive number without any fractional or decimal parts, and it can also be represented as -5 as a negative integer.
- Rational: 5 is a rational number because it can be expressed as a fraction, 5/1.
- Irrational: 5 is not an irrational number because it can be expressed as a fraction and has a finite decimal representation.
- Real: 5 is a real number because it is a rational number and can be plotted on a number line.
To determine if the given number belongs to a particular set, let's go through each set one by one.
1. Natural numbers: Natural numbers are positive whole numbers. The given number, 50/10, is 5. It is a positive whole number, so it belongs to the set of natural numbers.
2. Whole numbers: Whole numbers include zero and all the natural numbers. Since the given number, 50/10, is 5, which is a positive whole number, it belongs to the set of whole numbers.
3. Integers: Integers include all the natural numbers, their negatives, and zero. The given number, 50/10, is 5, which is a positive integer. Therefore, it belongs to the set of integers.
4. Rational numbers: Rational numbers are numbers that can be expressed as a fraction or ratio of two integers. The given number, 50/10, is indeed a fraction where the numerator (50) and denominator (10) are both integers. Therefore, it belongs to the set of rational numbers.
5. Irrational numbers: Irrational numbers cannot be expressed as a fraction or ratio of two integers, and they have an infinite decimal representation without a repeating pattern. Since the given number, 50/10 or 5, is a rational number, it is not an irrational number.
6. Real numbers: Real numbers include both rational and irrational numbers. Since the given number, 5, is a rational number, it is also a real number.
In summary, the given number, 50/10 or 5, belongs to the following sets: natural numbers, whole numbers, integers, rational numbers, and real numbers.