Lesson ⁦5-6⁩: Order of Operations

Math · Fifth Grade, Primary · Unit 5: Algebraic Expressions and Equations · First Semester

A 10-question quiz; after every question you'll see the right answer with an explanation.
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What will you learn in this lesson?

Students learn the agreed-upon order of operations for evaluating an expression with more than one operation, so everyone gets the same result: parentheses first, then multiplication and division, then addition and subtraction.

  • Evaluates numerical expressions using the order of operations
  • Calculates what is inside parentheses first
  • Performs multiplication and division from left to right before addition and subtraction

💡 Tip: A common mistake is calculating straight from the start. In 5 + 3 × 4, multiply first: 5 + 12 = 17, not 32.

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Worked examples from the Order of Operations lesson questions

What is the value of 5 + 3 × 4?
  • 17
  • 32
  • 20
  • 27
✓ 17
Multiply first: 3 × 4 = 12, then add: 5 + 12 = 17.
What is the value of (5 + 3) × 4?
  • 32
  • 17
  • 20
  • 35
✓ 32
Work inside the parentheses first: 5 + 3 = 8, then 8 × 4 = 32.
Show more examples (3)
What is the value of 20 − 12 ÷ 4?
  • 17
  • 2
  • 8
  • 16
✓ 17
Divide first: 12 ÷ 4 = 3, then subtract: 20 − 3 = 17.
What is the value of 18 ÷ 3 × 2?
  • 12
  • 3
  • 9
  • 36
✓ 12
Multiplication and division have the same priority, so we do them in order from left to right: 18 ÷ 3 = 6, then 6 × 2 = 12.
What is the value of 30 − 10 + 5?
  • 25
  • 15
  • 35
  • 20
✓ 25
Addition and subtraction are done in order from left to right: 30 − 10 = 20, then 20 + 5 = 25.

FAQ about the Order of Operations lesson

What is the order of operations in math?

Start with what is inside the parentheses, then multiplication and division in the order they appear, then addition and subtraction in the order they appear.

What is the value of 18 ÷ 3 × 2?

Multiplication and division have the same priority, so we do them in order: 18 ÷ 3 = 6, then 6 × 2 = 12.

How do I study the lesson Order of Operations and test myself on it?

Start the lesson quiz on Study with Ghada: 10 questions from the Math Fifth Grade, Primary question bank. After each answer you'll see the right answer with an explanation, and any questions you miss move to “Review my mistakes” until you master them.

Are Study with Ghada quizzes free and aligned with the curriculum?

Yes, completely free. They're built on the Math - Grade 5 - Semester 1 lessons in the same order as the book, and every question is reviewed and approved by a teacher before students see it.