Free Grade 3 Working with Multiplying Integers Lessons
Free Grade 3 lessons for Working with Multiplying 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with multiplying integers
Explain working with multiplying integers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with multiplying integers
Calculate working with multiplying integers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with multiplying integers
Compare working with multiplying integers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with multiplying integers
Justify working with multiplying 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 Working with Multiplying 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.
- 1.9 − 5 = ?[1]
- 2.-8 + 7 = ?[1]
- 3.-8 − (-7) = ?[1]
- 4.2 + (-3) = ?[1]
- 5.15 + 1 = ?[2]
- 6.-1 + (-10) = ?[2]
- 7.11 + (-8) = ?[2]
- 8.5 × 6 = ?[2]
- 9.14 − (-23) = ?[3]
- 10.12 − 23 = ?[3]
- 11.-8 + 16 = ?[3]
- 12.23 + (-7) = ?[3]
Show answers and working
1. 4
Subtracting 5 is the same as adding -5. 9 + (-5) = 4
2. -1
Start at -8 on a number line. Move 7 right. You land on -1.
3. -1
Subtracting (-7) is the same as adding 7. -8 + 7 = -1
4. -1
Start at 2 on a number line. Move 3 left. You land on -1.
5. 16
Start at 15 on a number line. Move 1 right. You land on 16.
6. -11
Start at -1 on a number line. Move 10 left. You land on -11.
7. 3
Start at 11 on a number line. Move 8 left. You land on 3.
8. 30
Multiply the sizes: 5 × 6 = 30. Same signs give positive, different signs give negative. Answer: 30
9. 37
Subtracting (-23) is the same as adding 23. 14 + 23 = 37
10. -11
Subtracting 23 is the same as adding -23. 12 + (-23) = -11
11. 8
Start at -8 on a number line. Move 16 right. You land on 8.
12. 16
Start at 23 on a number line. Move 7 left. You land on 16.
Worked examples
-6 + (-1) = ?
- Start at -6 on a number line.
- Move 1 left.
- You land on -7.
- Answer: -7
14 − (-5) = ?
- Subtracting (-5) is the same as adding 5.
- 14 + 5 = 19
- Answer: 19
17 × 7 = ?
- Multiply the sizes: 17 × 7 = 119.
- Same signs give positive, different signs give negative.
- Answer: 119
- Answer: 119
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 Working with Multiplying 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 Introducing Multiplying Integers, Subtracting 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 Multiplying Integers?
- Move on to Multiplying Integers in Context, Negative Numbers, Integer Number Line, Adding Integers, which build directly on this idea.
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