Unit 06 · Expressions and EquivalenceLesson

Day 078Order of Operations

LearnClassworkAnswer keyPDF packet ↗
Standards 6.EE.A.16.EE.A.2c
LEARNING TARGET

I can evaluate expressions using the order of operations.

Build the idea

Work inside parentheses, then evaluate exponents. Multiply and divide from left to right; then add and subtract from left to right. Multiplication does not automatically come before division.

WORKED EXAMPLE 1

Evaluate 5 + 6 × 4. Show the intermediate steps.

29

Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 29.

WORKED EXAMPLE 2

Evaluate 6 ÷ 3 × 7 + 3^2. Show the intermediate steps.

23

Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 23.

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. Evaluate 7 + 6 × 3. Show the intermediate steps.

  2. Evaluate 2 + 4 × 2. Show the intermediate steps.

  3. Evaluate 5 + 7 × 4. Show the intermediate steps.

  4. Evaluate (7 + 6) × 4^2. Show the intermediate steps.

  5. Evaluate (2 + 2) × 3^2. Show the intermediate steps.

  6. Evaluate (2 + 2) × 6^2. Show the intermediate steps.

  7. Evaluate 16 ÷ 2 × 5 + 2^2. Show the intermediate steps.

  8. Evaluate 21 ÷ 3 × 4 + 3^2. Show the intermediate steps.

  9. Evaluate 8 ÷ 4 × 5 + 4^2. Show the intermediate steps.

  10. Evaluate 6 ÷ 2 × 6 + 2^2. Show the intermediate steps.

Answers and reasoning

Reveal the teacher answer key
  1. 25

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 25.

  2. 10

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 10.

  3. 33

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 33.

  4. 208

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 208.

  5. 36

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 36.

  6. 144

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 144.

  7. 44

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 44.

  8. 37

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 37.

  9. 26

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 26.

  10. 22

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 22.

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