The Real Number System can be categorized into different sets as follows:
1. Natural Numbers:
These are the numbers used for counting and are denoted by the symbol N. They include the numbers 1, 2, 3, and so on.
2. Whole Numbers:
These include the natural numbers along with the number 0. They are denoted by the symbol W and include the numbers 0, 1, 2, 3, and so on.
3. Integers:
Integers include all whole numbers along with their negatives. They are denoted by the symbol Z and include the numbers ..., -3, -2, -1, 0, 1, 2, 3, ...
4. Rational Numbers:
Rational numbers are numbers that can be expressed as a fraction or ratio of two integers. They include fractions and terminating or repeating decimals. The symbol Q is used to represent rational numbers.
5. Irrational Numbers:
Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. They have non-repeating and non-terminating decimals. Famous examples of irrational numbers include pi (π) and the square root of 2 (√2).
6. Real Numbers:
Real numbers include both rational and irrational numbers. They include all numbers that can be expressed as decimals, either terminating or non-terminating. The symbol R is used to represent real numbers.
These sets of numbers are collectively known as the Real Number System and cover all possible numbers that we use in everyday life.
The Real Number System Quick Check
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