Types of Numbers

• Natural Numbers: Positive integers, starting from 1 (e.g., 1, 2, 3,...).
• Whole Numbers: Non-negative integers, including 0 (e.g., 0, 1, 2, 3,...).
• Integers: Whole numbers and their negative counterparts (e.g.,..., -3, -2, -1, 0, 1, 2, 3,...).
• Rational Numbers: Numbers that can be expressed as the ratio of two integers (e.g., 3/4, 22/7).
• Irrational Numbers: Numbers that cannot be expressed as a simple ratio of integers (e.g., π, e).
• Real Numbers: Includes all rational and irrational numbers (e.g., 1, 2, π, e,...).
• Complex Numbers: Numbers that have both real and imaginary parts (e.g., 3 + 4i, where i is the imaginary unit).

Number Properties

• Commutative Property: The order of numbers does not change the result of an operation (e.g., 2 + 3 = 3 + 2).
• Associative Property: The order in which numbers are grouped does not change the result of an operation (e.g., (2 + 3) + 4 = 2 + (3 + 4)).
• Distributive Property: A number can be distributed across multiple operations (e.g., 2(3 + 4) = 2(3) + 2(4)).
• Additive Identity: The number 0, which does not change the result of an addition operation (e.g., 2 + 0 = 2).
• Multiplicative Identity: The number 1, which does not change the result of a multiplication operation (e.g., 2 × 1 = 2).

Number Operations

• Addition: Combining two or more numbers to get a total or a sum.
• Subtraction: Finding the difference between two numbers.
• Multiplication: Repeating a number a certain number of times to get a product.
• Division: Splitting a number into equal parts or groups.
• Exponentiation: Raising a number to a power to get a result.
• Roots: Finding the number that, when raised to a power, gives a specified value.

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