Order of Operations — Using Every Operation

🔑 Key Concepts

  • Follow the order of operations: parentheses, exponents, multiplication and division, then addition and subtraction.
  • Work from left to right when multiplication and division appear together.
  • Work from left to right when addition and subtraction appear together.
  • Integers can be positive or negative, so pay close attention to signs during each step.
  • Solving step-by-step helps ensure accuracy when expressions contain many operations.

✏️ Worked Examples — Applying the Order of Operations

🧠 Math Vocabulary

  • Order of operations: The rules that tell the correct order to evaluate expressions.
  • Parentheses: Grouping symbols that show what to calculate first.
  • Exponent: A number that tells how many times a base is multiplied by itself.
  • Integer: A whole number that can be positive or negative.
  • Evaluate: To find the value of an expression.

💡 Main Idea

This lesson shows how to apply every part of the order of operations in one expression. Students work through parentheses, exponents, multiplication, division, addition, and subtraction step by step. Explaining what to do next at each step helps students understand why each operation is performed and builds strong problem-solving habits.

📚 What You Should Already Know

Before starting this lesson, students should understand basic operations with integers, including addition, subtraction, multiplication, and division. They should also be familiar with evaluating expressions that contain parentheses and exponents.

🚀 What Comes Next

After this lesson, students can continue practicing more complex numerical expressions and begin working with algebraic expressions that include variables. These skills prepare students for solving equations and applying order of operations in real-world problem situations.

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