Types of numbers

  Types of numbers

There are several types of numbers in mathematics. Here are some of the most common types:

1. Natural Numbers: Natural numbers are the counting numbers, starting from 1 and going infinitely upward. They are denoted by the symbol "N." So, N = {1, 2, 3, 4, ...}.

2. Whole Numbers: Whole numbers include all the natural numbers along with zero. They are denoted by the symbol "W." So, W = {0, 1, 2, 3, 4, ...}.

3. Integers: Integers are the set of whole numbers along with their negatives. They include zero, positive numbers, and negative numbers. They are denoted by the symbol "Z." So, Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}.

4. Rational Numbers: Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. They include integers and fractions. Rational numbers can be positive, negative, or zero. They are denoted by the symbol "Q." So, Q = {..., -3, -2, -1, 0, 1, 2, 3, ...}.

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 decimal representations. Examples of irrational numbers include √2, π (pi), and e (Euler's number).

6. Real Numbers: Real numbers include both rational and irrational numbers. They represent the complete set of numbers on the number line. Real numbers can be positive, negative, or zero. They are denoted by the symbol "R."

7. Complex Numbers: Complex numbers are numbers of the form a + bi, where a and b are real numbers, and i is the imaginary unit (√-1). Complex numbers include real numbers as a special case when b is zero.

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These are some of the main types of numbers in mathematics. Each type has its own properties and applications in various branches of mathematics and other fields