Free Grade 3 Subtracting Integers Lessons
Free Grade 3 lessons for Subtracting 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.
Free
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain subtracting integers
Explain subtracting integers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate subtracting integers
Calculate subtracting integers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare subtracting integers
Compare subtracting integers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify subtracting integers
Justify subtracting 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 Subtracting 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.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.-6 − 3 = ?[1]
- 2.-10 + (-1) = ?[1]
- 3.0 + (-2) = ?[1]
- 4.-5 + (-9) = ?[1]
- 5.3 + 9 = ?[2]
- 6.0 × (-19) = ?[2]
- 7.5 − 20 = ?[2]
- 8.-20 × 5 = ?[2]
- 9.-22 − 30 = ?[3]
- 10.-12 + (-22) = ?[3]
- 11.-23 + 5 = ?[3]
- 12.-4 × 9 = ?[3]
Show answers and working
1. -9
Subtracting 3 is the same as adding -3. -6 + (-3) = -9
2. -11
Start at -10 on a number line. Move 1 left. You land on -11.
3. -2
Start at 0 on a number line. Move 2 left. You land on -2.
4. -14
Start at -5 on a number line. Move 9 left. You land on -14.
5. 12
Start at 3 on a number line. Move 9 right. You land on 12.
6. 0
Multiply the sizes: 0 × 19 = 0. Same signs give positive, different signs give negative. Answer: 0
7. -15
Subtracting 20 is the same as adding -20. 5 + (-20) = -15
8. -100
Multiply the sizes: 20 × 5 = 100. Same signs give positive, different signs give negative. Answer: -100
9. -52
Subtracting 30 is the same as adding -30. -22 + (-30) = -52
10. -34
Start at -12 on a number line. Move 22 left. You land on -34.
11. -18
Start at -23 on a number line. Move 5 right. You land on -18.
12. -36
Multiply the sizes: 4 × 9 = 36. Same signs give positive, different signs give negative. Answer: -36
Worked examples
10 − 5 = ?
- Subtracting 5 is the same as adding -5.
- 10 + (-5) = 5
- Answer: 5
9 × (-19) = ?
- Multiply the sizes: 9 × 19 = 171.
- Same signs give positive, different signs give negative.
- Answer: -171
- Answer: -171
27 − (-7) = ?
- Subtracting (-7) is the same as adding 7.
- 27 + 7 = 34
- 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.
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Frequently asked
- Is this Grade 3 Subtracting 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 Adding Integers, Integer Number Line, 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 Subtracting Integers?
- Move on to Multiplying Integers, Absolute Value, Whole Numbers, Counting, which build directly on this idea.
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