Arithmetic Operations Basics

Arithmetic Operations

Types of Arithmetic Operations

• Addition: The operation of combining two or more numbers to get a total or a sum.
  • Example: 2 + 3 = 5
• Subtraction: The operation of finding the difference between two numbers.
  • Example: 5 - 2 = 3
• Multiplication: The operation of repeated addition, where a number is added to itself a certain number of times.
  • Example: 2 × 3 = 6
• Division: The operation of sharing a number into equal parts or groups.
  • Example: 6 ÷ 2 = 3

Properties of Arithmetic Operations

• Commutative Property: The order of numbers does not change the result of an operation.
  • Example: 2 + 3 = 3 + 2
  • Example: 2 × 3 = 3 × 2
• Associative Property: The order in which numbers are grouped does not change the result of an operation.
  • Example: (2 + 3) + 4 = 2 + (3 + 4)
  • Example: (2 × 3) × 4 = 2 × (3 × 4)
• Distributive Property: Multiplication can be distributed over addition.
  • Example: 2 × (3 + 4) = 2 × 3 + 2 × 4

Order of Operations

• PEMDAS: A mnemonic used to remember the order of operations:
  1. Parentheses: Evaluate expressions inside parentheses first.
  2. Exponents: Evaluate any exponential expressions next.
  3. Multiplication and Division: Evaluate from left to right.
  4. Addition and Subtraction: Evaluate from left to right.

Examples and Applications

• Arithmetic operations are used in everyday life, such as calculating change, tips, and discounts.
• They are also used in science, engineering, and other fields to solve problems and make calculations.

Arithmetic Operations

Types of Arithmetic 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: Repeated addition, where a number is added to itself a certain number of times, e.g. 2 × 3 = 6.
• Division: Sharing a number into equal parts or groups, e.g. 6 ÷ 2 = 3.

Properties of Arithmetic Operations

Commutative Property

• The order of numbers does not change the result of an operation.
• Applies to addition and multiplication, e.g. 2 + 3 = 3 + 2, and 2 × 3 = 3 × 2.

Associative Property

• The order in which numbers are grouped does not change the result of an operation.
• Applies to addition and multiplication, e.g. (2 + 3) + 4 = 2 + (3 + 4), and (2 × 3) × 4 = 2 × (3 × 4).

Distributive Property

• Multiplication can be distributed over addition.
• Example: 2 × (3 + 4) = 2 × 3 + 2 × 4.

Order of Operations

• PEMDAS: A mnemonic to remember the order of operations.
• Evaluate expressions in the following order:
• Parentheses
• Exponents
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

Examples and Applications

• Arithmetic operations are used in everyday life, such as calculating change, tips, and discounts.
• They are also used in science, engineering, and other fields to solve problems and make calculations.

Learn about the different types of arithmetic operations, including addition, subtraction, multiplication, and division. Understand the concepts with examples.