Unit 06 · Expressions and EquivalenceLesson

Day 079Grouping and Left to Right 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 6 + 4 × 2. Show the intermediate steps.

14

Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 14.

WORKED EXAMPLE 2

Evaluate 18 ÷ 3 × 7 + 3^2. Show the intermediate steps.

51

Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 51.

Your turn

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

  1. Evaluate 2 + 3 × 3. Show the intermediate steps.

  2. Evaluate 3 + 6 × 2. Show the intermediate steps.

  3. Evaluate 4 + 6 × 2. Show the intermediate steps.

  4. Evaluate (3 + 3) × 6^2. Show the intermediate steps.

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

  6. Evaluate (5 + 7) × 6^2. Show the intermediate steps.

  7. Evaluate 18 ÷ 3 × 6 + 3^2. Show the intermediate steps.

  8. Evaluate 25 ÷ 5 × 5 + 5^2. Show the intermediate steps.

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

  10. Evaluate 35 ÷ 5 × 5 + 5^2. Show the intermediate steps.

Answers and reasoning

Reveal the teacher answer key
  1. 11

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 11.

  2. 15

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 15.

  3. 16

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 16.

  4. 216

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 216.

  5. 96

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 96.

  6. 432

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 432.

  7. 45

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 45.

  8. 50

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 50.

  9. 20

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 20.

  10. 60

    Use parentheses and exponents first, then × and ÷ left to right, then + and -. Result: 60.

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