Here's the complete solution to the
“Subtracting Integers” worksheet for Grade 6, with clear explanations for each problem.
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🔢 Key Rule to Remember:
When subtracting integers,
change the subtraction sign to addition and flip the sign of the second number (the subtrahend).
That is:
a – b = a + (–b)
a – (–b) = a + b
This rule makes all subtraction problems into addition problems, which are easier to solve using integer rules.
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##
✔ Solutions & Explanations:
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i. –3 – 7 = ?
→ –3 + (–7) =
–10
*(Two negatives added: add absolute values, keep negative sign)*
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ii. 7 – 3 = ?
→ 7 + (–3) =
4
*(Positive minus smaller positive = positive result)*
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iii. –4 – 6 = ?
→ –4 + (–6) =
–10
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iv. 5 – 10 = ?
→ 5 + (–10) =
–5
*(Smaller positive minus larger positive = negative result)*
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v. –9 – –9 = ?
→ –9 + 9 =
0
*(Negative minus negative becomes addition; opposites cancel out)*
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vi. 7 – –6 = ?
→ 7 + 6 =
13
*(Minus a negative = plus a positive)*
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vii. –8 – 8 = ?
→ –8 + (–8) =
–16
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viii. –5 – –9 = ?
→ –5 + 9 =
4
*(Negative plus larger positive = positive result)*
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ix. 6 – –4 = ?
→ 6 + 4 =
10
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x. 7 – 3 = ?
→ 7 + (–3) =
4 *(Same as ii)*
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xi. 8 – –4 = ?
→ 8 + 4 =
12
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xii. 9 – –5 = ?
→ 9 + 5 =
14
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xiii. 10 – –6 = ?
→ 10 + 6 =
16
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xiv. 7 – –5 = ?
→ 7 + 5 =
12
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xv. 8 – –1 = ?
→ 8 + 1 =
9
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xvi. –9 – 8 = ?
→ –9 + (–8) =
–17
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xvii. –6 – 0 = ?
→ –6 + 0 =
–6
*(Any number minus zero is itself)*
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xviii. 8 – 0 = ?
→ 8 + 0 =
8
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xix. 5 – –5 = ?
→ 5 + 5 =
10
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xx. –3 – +5 = ?
→ –3 – 5 = –3 + (–5) =
–8
*(Note: “+5” is just “5”, so it’s –3 minus 5)*
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## 📝 Final Answer Key:
| Problem | Answer |
|---------|--------|
| i | –10 |
| ii | 4 |
| iii | –10 |
| iv | –5 |
| v | 0 |
| vi | 13 |
| vii | –16 |
| viii | 4 |
| ix | 10 |
| x | 4 |
| xi | 12 |
| xii | 14 |
| xiii | 16 |
| xiv | 12 |
| xv | 9 |
| xvi | –17 |
| xvii | –6 |
| xviii | 8 |
| xix | 10 |
| xx | –8 |
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## 💡 Tip for Students:
Always rewrite subtraction as addition first:
“Keep, Change, Change” — Keep the first number, change minus to plus, change the sign of the second number.
Example:
–7 – (–3) →
–7 + 3 →
–4
This method avoids confusion and works every time!
Let me know if you’d like a printable version or more practice! 😊
Parent Tip: Review the logic above to help your child master the concept of subtracting integers worksheet 7th grade.
