Free Grade 3 Introducing Multiplying Integers Lessons
Free Grade 3 lessons for Introducing 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing multiplying integers
Explain introducing multiplying integers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing multiplying integers
Calculate introducing multiplying integers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing multiplying integers
Compare introducing multiplying integers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing multiplying integers
Justify introducing 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 Introducing 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.-2 + (-2) = ?[1]
- 2.5 + (-5) = ?[1]
- 3.3 + (-4) = ?[1]
- 4.4 − 2 = ?[1]
- 5.-6 × 2 = ?[2]
- 6.10 + (-14) = ?[2]
- 7.5 × 12 = ?[2]
- 8.11 − (-15) = ?[2]
- 9.18 + (-8) = ?[3]
- 10.14 × (-21) = ?[3]
- 11.29 × 27 = ?[3]
- 12.-23 + 0 = ?[3]
Show answers and working
1. -4
Start at -2 on a number line. Move 2 left. You land on -4.
2. 0
Start at 5 on a number line. Move 5 left. You land on 0.
3. -1
Start at 3 on a number line. Move 4 left. You land on -1.
4. 2
Subtracting 2 is the same as adding -2. 4 + (-2) = 2
5. -12
Multiply the sizes: 6 × 2 = 12. Same signs give positive, different signs give negative. Answer: -12
6. -4
Start at 10 on a number line. Move 14 left. You land on -4.
7. 60
Multiply the sizes: 5 × 12 = 60. Same signs give positive, different signs give negative. Answer: 60
8. 26
Subtracting (-15) is the same as adding 15. 11 + 15 = 26
9. 10
Start at 18 on a number line. Move 8 left. You land on 10.
10. -294
Multiply the sizes: 14 × 21 = 294. Same signs give positive, different signs give negative. Answer: -294
11. 783
Multiply the sizes: 29 × 27 = 783. Same signs give positive, different signs give negative. Answer: 783
12. -23
Start at -23 on a number line. Move 0 right. You land on -23.
Worked examples
-3 − 9 = ?
- Subtracting 9 is the same as adding -9.
- -3 + (-9) = -12
- Answer: -12
-7 × 11 = ?
- Multiply the sizes: 7 × 11 = 77.
- Same signs give positive, different signs give negative.
- Answer: -77
- Answer: -77
-12 + 8 = ?
- Start at -12 on a number line.
- Move 8 right.
- You land on -4.
- Answer: -4
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 Introducing 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 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 Introducing Multiplying Integers?
- Move on to Working with Multiplying Integers, Multiplying Integers in Context, Negative Numbers, Integer Number Line, which build directly on this idea.
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