# All types of numbers in mathematics

Numbers in mathematics come in various types, each with its own characteristics and properties. Here are some of the most common types of numbers!

**1. Natural Numbers (N):**

- Natural numbers are the set of positive whole numbers.
- Examples: 1, 2, 3, 4, 5, ...

**2. Whole Numbers (W):**

- Whole numbers include all natural numbers along with zero.
- Examples: 0, 1, 2, 3, 4, 5, ...

**3. Integers (Z):**

- Integers consist of positive and negative whole numbers along with zero.
- Examples: ..., -3, -2, -1, 0, 1, 2, 3, ...

**4. Rational Numbers (Q):**

- Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
- Examples: 1/2, -3/4, 5, -7, 0.25 (which is equivalent to 1/4).

**5. Irrational Numbers:**

- Irrational numbers cannot be expressed as a simple fraction of two integers.
- Examples: √2 (the square root of 2), π (pi), e (Euler's number).

**6. Real Numbers (R):**

- Real numbers include all rational and irrational numbers. They are the numbers that can be found on the number line.
- Examples: 1.5, -√5, π, -7/3, 0, √2, ...

**7. Imaginary Numbers (i):**

- Imaginary numbers are numbers that involve the imaginary unit 'i,' where 'i' is defined as the square root of -1.
- Examples: 2i, -3i, √(-9), 4 + 5i.

**8. Complex Numbers (C):**

- Complex numbers are numbers that combine real and imaginary parts. They are written in the form a + bi, where 'a' and 'b' are real numbers.
- Examples: 3 + 2i, -1 - 4i, 5, 2 + √(-9).

**9. Prime Numbers:**

- Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.
- Examples: 2, 3, 5, 7, 11, 13, ...

**10. Composite Numbers:**
- Composite numbers are natural numbers greater than 1 that have divisors other than 1 and themselves.
- Examples: 4, 6, 8, 9, 10, 12, ...

**11. Transcendental Numbers:**
- Transcendental numbers are a subset of irrational numbers that are not the root of any non-zero polynomial equation with integer coefficients.
- Examples: π, e, certain values related to trigonometric functions.

Published on: Sep 14, 2023, 12:02 PM