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Free Grade 3 Introducing Integer Number Line Lessons

Free Grade 3 lessons for Introducing Integer Number Line: 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

Core

Estimated time

20 min

Total marks

24

Learning objectives

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

  • UnderstandExplain introducing integer number line

    Explain introducing integer number line accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing integer number line

    Calculate introducing integer number line accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing integer number line

    Compare introducing integer number line accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introducing integer number line

    Justify introducing integer number line 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 Introducing Integer Number Line 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 − 4 = ?[1]
  2. 2.6 − 9 = ?[1]
  3. 3.3 − (-2) = ?[1]
  4. 4.-8 + 3 = ?[1]
  5. 5.19 × 18 = ?[2]
  6. 6.4 − 8 = ?[2]
  7. 7.1 − 20 = ?[2]
  8. 8.-20 − (-17) = ?[2]
  9. 9.10 + (-22) = ?[3]
  10. 10.-14 − 1 = ?[3]
  11. 11.10 − (-21) = ?[3]
  12. 12.-2 + (-14) = ?[3]
Show answers and working
  1. 1. 0

    Subtracting 4 is the same as adding -4. 4 + (-4) = 0

  2. 2. -3

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

  3. 3. 5

    Subtracting (-2) is the same as adding 2. 3 + 2 = 5

  4. 4. -5

    Start at -8 on a number line. Move 3 right. You land on -5.

  5. 5. 342

    Multiply the sizes: 19 × 18 = 342. Same signs give positive, different signs give negative. Answer: 342

  6. 6. -4

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

  7. 7. -19

    Subtracting 20 is the same as adding -20. 1 + (-20) = -19

  8. 8. -3

    Subtracting (-17) is the same as adding 17. -20 + 17 = -3

  9. 9. -12

    Start at 10 on a number line. Move 22 left. You land on -12.

  10. 10. -15

    Subtracting 1 is the same as adding -1. -14 + (-1) = -15

  11. 11. 31

    Subtracting (-21) is the same as adding 21. 10 + 21 = 31

  12. 12. -16

    Start at -2 on a number line. Move 14 left. You land on -16.

Worked examples

Easy example

-2 + (-8) = ?

  1. Start at -2 on a number line.
  2. Move 8 left.
  3. You land on -10.
  4. Answer: -10
Medium example

1 × 20 = ?

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

-6 + (-28) = ?

  1. Start at -6 on a number line.
  2. Move 28 left.
  3. You land on -34.
  4. Answer: -34

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.

COLLEGE-BOARD COL-193.1 — Mapped statement covering Introducing Integer Number Line.AQA AQA-552.2 — Mapped statement covering Introducing Integer Number Line.

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Frequently asked

Is this Grade 3 Introducing Integer Number Line 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 Negative Numbers. 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 Introducing Integer Number Line?
Move on to Working with Integer Number Line, Integer Number Line in Context, Negative Numbers, Adding Integers, which build directly on this idea.

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