Types of Numbers in Math

Types of Numbers

• Natural Numbers: Positive integers, e.g., 1, 2, 3, ...
• Whole Numbers: Non-negative integers, including 0, e.g., 0, 1, 2, ...
• Integers: Positive, negative, and zero, e.g., ..., -3, -2, -1, 0, 1, 2, 3, ...
• Rational Numbers: Fractions, e.g., 3/4, 22/7, ...
• Irrational Numbers: Non-repeating, non-terminating decimals, e.g., π, e, ...
• Real Numbers: Includes rational and irrational numbers, e.g., π, 3/4, √2, ...
• Complex Numbers: Numbers with real and imaginary parts, e.g., 3 + 4i, ...

Number Operations

• Addition: Combining two or more numbers to get a total or a sum, e.g., 2 + 3 = 5
• Subtraction: Finding the difference between two numbers, e.g., 5 - 2 = 3
• Multiplication: Repeating a number a certain number of times, e.g., 2 × 3 = 6
• Division: Sharing a number into equal parts or groups, e.g., 6 ÷ 2 = 3

Number Properties

• Commutative Property: The order of numbers does not change the result, e.g., 2 + 3 = 3 + 2
• Associative Property: The order of operations does not change the result, e.g., (2 + 3) + 4 = 2 + (3 + 4)
• Distributive Property: Expanding a product into a sum, e.g., 2 × (3 + 4) = 2 × 3 + 2 × 4

Types of Numbers

• Natural numbers are positive integers, starting from 1.
• Whole numbers are non-negative integers, including 0.
• Integers include all whole numbers and their negative counterparts.
• Rational numbers are fractions, where the numerator and denominator are integers.
• Irrational numbers are non-repeating, non-terminating decimals, such as π and e.
• Real numbers include both rational and irrational numbers.
• Complex numbers have real and imaginary parts, such as 3 + 4i.

Number Operations

• Addition is the process of combining two or more numbers to get a total or a sum.
• Subtraction is the process of finding the difference between two numbers.
• Multiplication is the process of repeating a number a certain number of times.
• Division is the process of sharing a number into equal parts or groups.

Number Properties

• The commutative property states that the order of numbers does not change the result of an operation.
• The associative property states that the order of operations does not change the result of an operation.
• The distributive property allows for the expansion of a product into a sum, where a single value is multiplied by multiple addends.