Order of Operations

Order of operations is the set of rules that define the sequence in which calculations should be performed in a mathematical expression. Following the order of operations ensures that everyone arrives at the same correct answer when evaluating mathematical expressions.

The Order of Operations Rules

1. Parentheses: Perform operations inside parentheses first. If there are nested parentheses, start with the innermost set.
2. Exponents: Perform any calculations involving exponents (or powers) next.
3. Multiplication and Division: Perform multiplication and division operations from left to right.
4. Addition and Subtraction: Perform addition and subtraction operations from left to right.

Remembering the Order

An easy way to remember the order of operations is to use the acronym PEMDAS:

• P: Parentheses
• E: Exponents
• M: Multiplication
• D: Division
• A: Addition
• S: Subtraction

Examples

Let's work through an example to illustrate the order of operations:

Simplify the expression: 3 + 5 × (2 - 4)²

1. Start with the parentheses: 2 - 4 = -2
2. Next, calculate the exponent: (-2)² = 4
3. Finally, perform the multiplication: 5 × 4 = 20
4. Add the result to 3: 3 + 20 = 23

Study Guide

Here are some tips to remember when dealing with order of operations:

1. Always start with operations inside parentheses or brackets.
2. Next, evaluate any exponents or powers.
3. Then, perform multiplication and division from left to right.
4. Finally, perform addition and subtraction from left to right.
5. Use the acronym PEMDAS to help remember the order of operations.

Remembering and applying the order of operations is crucial in solving math problems accurately. With practice, it becomes easier to perform calculations following these rules.

[Order Of Operations] Related Worksheets and Study Guides:

• Commutative PropertyMathematics • First Grade