The Real Number System Quick Check

Answer 1

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.