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Free Grade 3 Adding Integers Lessons

Free Grade 3 lessons for Adding Integers: 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

25 min

Total marks

24

Learning objectives

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

  • RememberIdentify adding integers

    Identify adding integers accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain adding integers

    Explain adding integers accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate adding integers

    Calculate adding integers accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare adding integers

    Compare adding integers 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 Adding Integers 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.-4 − 8 = ?[1]
  2. 2.-9 + (-8) = ?[1]
  3. 3.10 + 0 = ?[1]
  4. 4.-7 + 1 = ?[1]
  5. 5.20 + (-4) = ?[2]
  6. 6.-15 × 6 = ?[2]
  7. 7.-14 + 2 = ?[2]
  8. 8.-4 × 18 = ?[2]
  9. 9.21 + 0 = ?[3]
  10. 10.0 − 8 = ?[3]
  11. 11.-29 × (-18) = ?[3]
  12. 12.7 − (-30) = ?[3]
Show answers and working
  1. 1. -12

    Subtracting 8 is the same as adding -8. -4 + (-8) = -12

  2. 2. -17

    Start at -9 on a number line. Move 8 left. You land on -17.

  3. 3. 10

    Start at 10 on a number line. Move 0 right. You land on 10.

  4. 4. -6

    Start at -7 on a number line. Move 1 right. You land on -6.

  5. 5. 16

    Start at 20 on a number line. Move 4 left. You land on 16.

  6. 6. -90

    Multiply the sizes: 15 × 6 = 90. Same signs give positive, different signs give negative. Answer: -90

  7. 7. -12

    Start at -14 on a number line. Move 2 right. You land on -12.

  8. 8. -72

    Multiply the sizes: 4 × 18 = 72. Same signs give positive, different signs give negative. Answer: -72

  9. 9. 21

    Start at 21 on a number line. Move 0 right. You land on 21.

  10. 10. -8

    Subtracting 8 is the same as adding -8. 0 + (-8) = -8

  11. 11. 522

    Multiply the sizes: 29 × 18 = 522. Same signs give positive, different signs give negative. Answer: 522

  12. 12. 37

    Subtracting (-30) is the same as adding 30. 7 + 30 = 37

Worked examples

Easy example

-3 − (-4) = ?

  1. Subtracting (-4) is the same as adding 4.
  2. -3 + 4 = 1
  3. Answer: 1
Medium example

-20 − 0 = ?

  1. Subtracting 0 is the same as adding 0.
  2. -20 + 0 = -20
  3. Answer: -20
Hard example

-15 × (-6) = ?

  1. Multiply the sizes: 15 × 6 = 90.
  2. Same signs give positive, different signs give negative.
  3. Answer: 90
  4. Answer: 90

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.

CBSE CBS-717.1 — Mapped statement covering Adding Integers.COLLEGE-BOARD COL-400.2 — Mapped statement covering Adding Integers.

Every free resource for Adding Integers

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Frequently asked

Is this Grade 3 Adding Integers 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 Integer Number Line, Negative Numbers, Number Formation. 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 Adding Integers?
Move on to Subtracting Integers, Multiplying Integers, Absolute Value, Whole Numbers, which build directly on this idea.

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