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Free Grade 3 Working with Adding Integers Word Problems Lessons

Free Grade 3 lessons for Working with Adding Integers Word Problems: 12 real questions with a full answer key and worked solutions. Integers include negative numbers. On a number line, adding moves right and subtracting moves left. Subtracting a negative is the same as adding.

Price

Free

Difficulty

Foundation

Estimated time

30 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify working with adding integers word problems

    Identify working with adding integers word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with adding integers word problems

    Explain working with adding integers word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with adding integers word problems

    Calculate working with adding integers word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with adding integers word problems

    Compare working with adding integers word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

Prerequisites

Close these gaps first — each has its own free lesson, worksheet and quiz.

How Working with Adding Integers Word Problems works

Integers include negative numbers. On a number line, adding moves right and subtracting moves left. Subtracting a negative is the same as adding.

Key wordsintegernegativepositivenumber line

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.0 + 0 = ?[1]
  2. 2.-8 + 7 = ?[1]
  3. 3.4 − 7 = ?[1]
  4. 4.-3 − 6 = ?[1]
  5. 5.-1 + (-9) = ?[2]
  6. 6.-16 + (-10) = ?[2]
  7. 7.-12 × 5 = ?[2]
  8. 8.-8 − (-15) = ?[2]
  9. 9.2 − (-6) = ?[3]
  10. 10.16 − 9 = ?[3]
  11. 11.-23 + (-7) = ?[3]
  12. 12.9 × 21 = ?[3]
Show answers and working
  1. 1. 0

    Start at 0 on a number line. Move 0 right. You land on 0.

  2. 2. -1

    Start at -8 on a number line. Move 7 right. You land on -1.

  3. 3. -3

    Subtracting 7 is the same as adding -7. 4 + (-7) = -3

  4. 4. -9

    Subtracting 6 is the same as adding -6. -3 + (-6) = -9

  5. 5. -10

    Start at -1 on a number line. Move 9 left. You land on -10.

  6. 6. -26

    Start at -16 on a number line. Move 10 left. You land on -26.

  7. 7. -60

    Multiply the sizes: 12 × 5 = 60. Same signs give positive, different signs give negative. Answer: -60

  8. 8. 7

    Subtracting (-15) is the same as adding 15. -8 + 15 = 7

  9. 9. 8

    Subtracting (-6) is the same as adding 6. 2 + 6 = 8

  10. 10. 7

    Subtracting 9 is the same as adding -9. 16 + (-9) = 7

  11. 11. -30

    Start at -23 on a number line. Move 7 left. You land on -30.

  12. 12. 189

    Multiply the sizes: 9 × 21 = 189. Same signs give positive, different signs give negative. Answer: 189

Worked examples

Easy example

8 + 4 = ?

  1. Start at 8 on a number line.
  2. Move 4 right.
  3. You land on 12.
  4. Answer: 12
Medium example

9 × (-20) = ?

  1. Multiply the sizes: 9 × 20 = 180.
  2. Same signs give positive, different signs give negative.
  3. Answer: -180
  4. Answer: -180
Hard example

27 + (-5) = ?

  1. Start at 27 on a number line.
  2. Move 5 left.
  3. You land on 22.
  4. Answer: 22

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Thinks −8 is bigger than −3.

    Correction: Further left on the number line means smaller.

  • Treats − (−4) as −4.

    Correction: Two minus signs together become a plus.

Teacher tips

  • · Use a vertical number line like a thermometer.

Parent tips

  • · Compare winter temperatures from the weather forecast.

Real-life applications

  • · Temperatures below zero, bank balances, floors below ground.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

CAMBRIDGE CAM-678.1 — Mapped statement covering Working with Adding Integers Word Problems.NATIONAL-CURRICULUM NAT-926.2 — Mapped statement covering Working with Adding Integers Word Problems.

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Frequently asked

Is this Grade 3 Working with Adding Integers Word Problems lesson really free?
Yes. Every lessons on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
What should a learner already know before this?
Start with Working with Adding Integers Techniques, Working with Adding Integers Essentials, Introducing Adding Integers. Each one has its own free lesson, worksheet and quiz.
How is the lesson sequenced?
Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
What comes next after Working with Adding Integers Word Problems?
Move on to Working with Adding Integers Common Errors, Introducing Adding Integers, Adding Integers in Context, which build directly on this idea.

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