Operations in Math

Addition (+)

Addition is the process of combining two or more numbers to find their total sum. For example:

• 3 + 4 = 7
• 8 + 5 + 2 = 15

Subtraction (-)

Subtraction involves taking away one number from another to find the difference. For example:

• 10 - 5 = 5
• 15 - 8 = 7

Multiplication (*)

Multiplication is the process of repeated addition or combining equal groups. For example:

• 4 * 3 = 12 (4 groups of 3)
• 7 * 2 = 14 (7 groups of 2)

Division (/)

Division involves splitting a number into equal parts or finding the number of equal groups. For example:

• 12 / 3 = 4 (12 divided into 3 equal parts)
• 15 / 5 = 3 (15 divided into 5 equal parts)

Study Guide

When working with operations in math, it's important to understand the properties and rules that govern these operations. Here are some key points to remember:

• Commutative Property: The order of the numbers does not change the result of addition or multiplication. For example, a + b = b + a and a * b = b * a.
• Associative Property: The grouping of numbers does not change the result of addition or multiplication. For example, (a + b) + c = a + (b + c) and (a * b) * c = a * (b * c).
• Distributive Property: Multiplication distributes over addition. For example, a * (b + c) = a * b + a * c.
• Order of Operations: When performing multiple operations in an expression, follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right) to determine the correct result.