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Free Grade 3 Working with Adding Integers Essentials Lessons

Free Grade 3 lessons for Working with Adding Integers Essentials: 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

35 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 essentials

    Identify working with adding integers essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with adding integers essentials

    Explain working with adding integers essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with adding integers essentials

    Calculate working with adding integers essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with adding integers essentials

    Compare working with adding integers essentials 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 Essentials 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.-1 + 4 = ?[1]
  2. 2.-2 − 10 = ?[1]
  3. 3.2 + (-4) = ?[1]
  4. 4.5 + (-6) = ?[1]
  5. 5.4 × 6 = ?[2]
  6. 6.-5 × (-2) = ?[2]
  7. 7.-11 × 12 = ?[2]
  8. 8.-17 − 15 = ?[2]
  9. 9.14 + 18 = ?[3]
  10. 10.-3 × (-19) = ?[3]
  11. 11.18 − 9 = ?[3]
  12. 12.13 − 7 = ?[3]
Show answers and working
  1. 1. 3

    Start at -1 on a number line. Move 4 right. You land on 3.

  2. 2. -12

    Subtracting 10 is the same as adding -10. -2 + (-10) = -12

  3. 3. -2

    Start at 2 on a number line. Move 4 left. You land on -2.

  4. 4. -1

    Start at 5 on a number line. Move 6 left. You land on -1.

  5. 5. 24

    Multiply the sizes: 4 × 6 = 24. Same signs give positive, different signs give negative. Answer: 24

  6. 6. 10

    Multiply the sizes: 5 × 2 = 10. Same signs give positive, different signs give negative. Answer: 10

  7. 7. -132

    Multiply the sizes: 11 × 12 = 132. Same signs give positive, different signs give negative. Answer: -132

  8. 8. -32

    Subtracting 15 is the same as adding -15. -17 + (-15) = -32

  9. 9. 32

    Start at 14 on a number line. Move 18 right. You land on 32.

  10. 10. 57

    Multiply the sizes: 3 × 19 = 57. Same signs give positive, different signs give negative. Answer: 57

  11. 11. 9

    Subtracting 9 is the same as adding -9. 18 + (-9) = 9

  12. 12. 6

    Subtracting 7 is the same as adding -7. 13 + (-7) = 6

Worked examples

Easy example

9 − 2 = ?

  1. Subtracting 2 is the same as adding -2.
  2. 9 + (-2) = 7
  3. Answer: 7
Medium example

15 − (-14) = ?

  1. Subtracting (-14) is the same as adding 14.
  2. 15 + 14 = 29
  3. Answer: 29
Hard example

0 − 23 = ?

  1. Subtracting 23 is the same as adding -23.
  2. 0 + (-23) = -23
  3. Answer: -23

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-650.1 — Mapped statement covering Working with Adding Integers Essentials.NATIONAL-CURRICULUM NAT-274.2 — Mapped statement covering Working with Adding Integers Essentials.

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Frequently asked

Is this Grade 3 Working with Adding Integers Essentials 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 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 Essentials?
Move on to Working with Adding Integers Techniques, Working with Adding Integers Word Problems, Working with Adding Integers Common Errors, Introducing Adding Integers, which build directly on this idea.

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