Using Order of Operations

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Objective

I can evaluate complex mathematical expressions using the order of operations (PEMDAS/BODMAS).

Part 1 of 4

Warm-up video

Khan Academy · 5:20Vetted channel

We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    The order of operations, often remembered by the acronym PEMDAS, dictates the sequence of operations: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

  2. 2

    When faced with multiple operations at the same level (like multiplication and division), it is safest to proceed from left to right to ensure accurate evaluation.

  3. 3

    When simplifying expressions with nested parentheses, begin by evaluating the innermost parentheses and work your way outward, following the order of operations at each step.

Part 3 of 4

Practice

3 questions

1

Using the order of operations, evaluate the expression: 10 + 5 × (6 - 2). Show each step.

2

Which operation should be performed first in the following expression: 12 ÷ 3 + 2 × (8 - 4)?

Part 4 of 4

Exit ticket

Quick comprehension check

Evaluate the following expression using the order of operations (PEMDAS/BODMAS). Show each step: 12 + (6 × (8 - 5)) ÷ 3

Sample answer included in the free materials

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