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# 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