Free Grade 3 Introducing Negative Numbers Essentials Worksheets
Free Grade 3 worksheets for Introducing Negative Numbers Essentials: 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 negative numbers essentials
Explain introducing negative numbers essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing negative numbers essentials
Calculate introducing negative numbers essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing negative numbers essentials
Compare introducing negative numbers essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing negative numbers essentials
Justify introducing negative numbers essentials 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 Negative Numbers Essentials 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 − (-3) = ?[1]
- 2.10 + 7 = ?[1]
- 3.-4 − 4 = ?[1]
- 4.-3 + 7 = ?[1]
- 5.-4 × (-9) = ?[2]
- 6.-10 − (-1) = ?[2]
- 7.7 × 13 = ?[2]
- 8.-18 − 8 = ?[2]
- 9.12 × 4 = ?[3]
- 10.26 × 20 = ?[3]
- 11.1 + (-5) = ?[3]
- 12.24 − 1 = ?[3]
Show answers and working
1. 5
Subtracting (-3) is the same as adding 3. 2 + 3 = 5
2. 17
Start at 10 on a number line. Move 7 right. You land on 17.
3. -8
Subtracting 4 is the same as adding -4. -4 + (-4) = -8
4. 4
Start at -3 on a number line. Move 7 right. You land on 4.
5. 36
Multiply the sizes: 4 × 9 = 36. Same signs give positive, different signs give negative. Answer: 36
6. -9
Subtracting (-1) is the same as adding 1. -10 + 1 = -9
7. 91
Multiply the sizes: 7 × 13 = 91. Same signs give positive, different signs give negative. Answer: 91
8. -26
Subtracting 8 is the same as adding -8. -18 + (-8) = -26
9. 48
Multiply the sizes: 12 × 4 = 48. Same signs give positive, different signs give negative. Answer: 48
10. 520
Multiply the sizes: 26 × 20 = 520. Same signs give positive, different signs give negative. Answer: 520
11. -4
Start at 1 on a number line. Move 5 left. You land on -4.
12. 23
Subtracting 1 is the same as adding -1. 24 + (-1) = 23
Worked examples
3 − (-4) = ?
- Subtracting (-4) is the same as adding 4.
- 3 + 4 = 7
- Answer: 7
-12 − (-5) = ?
- Subtracting (-5) is the same as adding 5.
- -12 + 5 = -7
- Answer: -7
12 + 4 = ?
- Start at 12 on a number line.
- Move 4 right.
- You land on 16.
- Answer: 16
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 Negative Numbers Essentials worksheet really free?
- Yes. Every worksheets 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 Number Formation. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Negative Numbers Essentials?
- Move on to Introducing Negative Numbers Techniques, Introducing Negative Numbers Word Problems, Introducing Negative Numbers Common Errors, Working with Negative Numbers, which build directly on this idea.
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