WORK SHEET 1: A math worksheet featuring 10 multiple-choice questions on integer operations including addition, subtraction, multiplication, division, and problem-solving.
Math worksheet with 10 multiple-choice questions involving basic arithmetic operations with integers.
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Show Answer Key & Explanations
Step-by-step solution for: Integer worksheet for Grade 7
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Show Answer Key & Explanations
Step-by-step solution for: Integer worksheet for Grade 7
Let’s solve each problem one by one, step by step. We’ll check our work carefully before giving the final answers.
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1. (-11) - (-56) = ?
Subtracting a negative is like adding the positive:
→ (-11) + 56 = 45
✔ Answer: a. +45
---
2. 90 - (+50) = ?
This is just 90 minus 50:
→ 90 - 50 = 40
✔ Answer: a. +40
---
3. 67 + 67 = ?
Just add them:
→ 67 + 67 = 134
✔ Answer: b. +134
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4. (-30) × (-70) = ?
Negative times negative = positive.
→ 30 × 70 = 2100? Wait — let me recalculate.
Actually:
30 × 70 = (3 × 7) × 100 = 21 × 100 = 2100? But that’s not in the options.
Wait — maybe I misread. Let me check again.
The problem says: (-30) × (-70)
But looking at the options: a. 210, b. -210, c. -100, d. +100
Hmm… 30 × 70 is 2100, but that’s not there. Did I make a mistake?
Wait — perhaps it’s a typo in my thinking? Or maybe the numbers are smaller?
No — actually, let me double-check the original image description. The user wrote:
> 4. (-30)×(-70)=--------
> a. 210 b. -210 c. -100 d. +100
That can’t be right — because (-30) × (-70) = +2100, which isn’t listed.
Wait — unless it’s (-3) × (-70)? No, it says (-30).
Or maybe it’s (-30) × (+7)? That would be -210.
But no — the problem clearly says (-30) × (-70).
Hold on — perhaps this is a trick? Or maybe I need to re-read.
Wait — let me calculate again:
(-30) × (-70) = positive, and 30 × 70.
30 × 70:
Break it down: 30 × 7 = 210, then ×10 → 2100.
But 2100 is not among the options. Options go up to 210.
Ah! Maybe it’s a typo in the worksheet? Or perhaps I misread the numbers?
Looking back at the user’s text:
> 4. (-30)×(-70)=--------
> a. 210 b. -210 c. -100 d. +100
This must be an error — unless... wait, could it be (-3) × (-70)? Then it would be 210.
Or (-30) × (+7) = -210.
But as written, it should be 2100.
However, since 210 is option ‘a’, and it’s positive, and negative × negative = positive, perhaps the intended problem was (-3) × (-70) or (-30) × (-7)?
Let’s assume it’s a common mistake — maybe it’s meant to be (-3) × (-70) = 210.
Alternatively, if we do (-30) × (-7) = 210.
Given that 210 is the only reasonable positive answer close to what we expect, and the other options don’t fit, I think the intended calculation is likely (-30) × (-7) or similar.
But strictly speaking, based on what’s written, it should be 2100 — which isn’t there.
Wait — let me check question 5: (-15) ÷ 5 = -3 — that’s correct.
Question 6: 1000 ÷ 10 = 100 — correct.
Perhaps for question 4, it’s actually (-30) × (-7)? Because 30×7=210.
Maybe a formatting issue — perhaps it’s (-30) × (-7), not (-70).
Because otherwise, none of the options match.
Given that, and since 210 is option ‘a’ and makes sense if it’s (-30) × (-7), I’ll go with that assumption for now — probably a typo in the problem statement.
So: (-30) × (-7) = +210
✔ Answer: a. 210
*(Note: If the problem truly is (-30) × (-70), then the correct answer is 2100, which is not listed — so we assume it's a typo and proceed with 210 as intended.)*
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5. (-15) ÷ 5 = ?
Negative divided by positive = negative.
→ 15 ÷ 5 = 3, so -3
✔ Answer: b. -3
---
6. 1000 ÷ 10 = ?
Easy: 1000 ÷ 10 = 100
✔ Answer: a. 100
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7. 49 ÷ _____ = 7
We need to find what number divides into 49 to give 7.
So: 49 ÷ x = 7 → x = 49 ÷ 7 = 7
✔ Answer: a. 7
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8. What should be added to -1 to get 10?
Let the number be x.
So: -1 + x = 10 → x = 10 + 1 = 11
✔ Answer: b. 11
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9. An integer divided by 7 gives a result -3. What is that integer?
Let the integer be x.
x ÷ 7 = -3 → x = -3 × 7 = -21
✔ Answer: b. -21
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10. P = -5 and Q = -15. Find (P + Q) ÷ (P - Q)
First, compute P + Q:
→ (-5) + (-15) = -20
Then, P - Q:
→ (-5) - (-15) = -5 + 15 = 10
Now divide: (-20) ÷ 10 = -2
✔ Answer: b. -2
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Final Answers:
1. a
2. a
3. b
4. a *(assuming typo; intended (-30)×(-7) or similar)*
5. b
6. a
7. a
8. b
9. b
10. b
──────────────────────────────────────
Final Answer:
1. a
2. a
3. b
4. a
5. b
6. a
7. a
8. b
9. b
10. b
---
1. (-11) - (-56) = ?
Subtracting a negative is like adding the positive:
→ (-11) + 56 = 45
✔ Answer: a. +45
---
2. 90 - (+50) = ?
This is just 90 minus 50:
→ 90 - 50 = 40
✔ Answer: a. +40
---
3. 67 + 67 = ?
Just add them:
→ 67 + 67 = 134
✔ Answer: b. +134
---
4. (-30) × (-70) = ?
Negative times negative = positive.
→ 30 × 70 = 2100? Wait — let me recalculate.
Actually:
30 × 70 = (3 × 7) × 100 = 21 × 100 = 2100? But that’s not in the options.
Wait — maybe I misread. Let me check again.
The problem says: (-30) × (-70)
But looking at the options: a. 210, b. -210, c. -100, d. +100
Hmm… 30 × 70 is 2100, but that’s not there. Did I make a mistake?
Wait — perhaps it’s a typo in my thinking? Or maybe the numbers are smaller?
No — actually, let me double-check the original image description. The user wrote:
> 4. (-30)×(-70)=--------
> a. 210 b. -210 c. -100 d. +100
That can’t be right — because (-30) × (-70) = +2100, which isn’t listed.
Wait — unless it’s (-3) × (-70)? No, it says (-30).
Or maybe it’s (-30) × (+7)? That would be -210.
But no — the problem clearly says (-30) × (-70).
Hold on — perhaps this is a trick? Or maybe I need to re-read.
Wait — let me calculate again:
(-30) × (-70) = positive, and 30 × 70.
30 × 70:
Break it down: 30 × 7 = 210, then ×10 → 2100.
But 2100 is not among the options. Options go up to 210.
Ah! Maybe it’s a typo in the worksheet? Or perhaps I misread the numbers?
Looking back at the user’s text:
> 4. (-30)×(-70)=--------
> a. 210 b. -210 c. -100 d. +100
This must be an error — unless... wait, could it be (-3) × (-70)? Then it would be 210.
Or (-30) × (+7) = -210.
But as written, it should be 2100.
However, since 210 is option ‘a’, and it’s positive, and negative × negative = positive, perhaps the intended problem was (-3) × (-70) or (-30) × (-7)?
Let’s assume it’s a common mistake — maybe it’s meant to be (-3) × (-70) = 210.
Alternatively, if we do (-30) × (-7) = 210.
Given that 210 is the only reasonable positive answer close to what we expect, and the other options don’t fit, I think the intended calculation is likely (-30) × (-7) or similar.
But strictly speaking, based on what’s written, it should be 2100 — which isn’t there.
Wait — let me check question 5: (-15) ÷ 5 = -3 — that’s correct.
Question 6: 1000 ÷ 10 = 100 — correct.
Perhaps for question 4, it’s actually (-30) × (-7)? Because 30×7=210.
Maybe a formatting issue — perhaps it’s (-30) × (-7), not (-70).
Because otherwise, none of the options match.
Given that, and since 210 is option ‘a’ and makes sense if it’s (-30) × (-7), I’ll go with that assumption for now — probably a typo in the problem statement.
So: (-30) × (-7) = +210
✔ Answer: a. 210
*(Note: If the problem truly is (-30) × (-70), then the correct answer is 2100, which is not listed — so we assume it's a typo and proceed with 210 as intended.)*
---
5. (-15) ÷ 5 = ?
Negative divided by positive = negative.
→ 15 ÷ 5 = 3, so -3
✔ Answer: b. -3
---
6. 1000 ÷ 10 = ?
Easy: 1000 ÷ 10 = 100
✔ Answer: a. 100
---
7. 49 ÷ _____ = 7
We need to find what number divides into 49 to give 7.
So: 49 ÷ x = 7 → x = 49 ÷ 7 = 7
✔ Answer: a. 7
---
8. What should be added to -1 to get 10?
Let the number be x.
So: -1 + x = 10 → x = 10 + 1 = 11
✔ Answer: b. 11
---
9. An integer divided by 7 gives a result -3. What is that integer?
Let the integer be x.
x ÷ 7 = -3 → x = -3 × 7 = -21
✔ Answer: b. -21
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10. P = -5 and Q = -15. Find (P + Q) ÷ (P - Q)
First, compute P + Q:
→ (-5) + (-15) = -20
Then, P - Q:
→ (-5) - (-15) = -5 + 15 = 10
Now divide: (-20) ÷ 10 = -2
✔ Answer: b. -2
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Final Answers:
1. a
2. a
3. b
4. a *(assuming typo; intended (-30)×(-7) or similar)*
5. b
6. a
7. a
8. b
9. b
10. b
──────────────────────────────────────
Final Answer:
1. a
2. a
3. b
4. a
5. b
6. a
7. a
8. b
9. b
10. b
Parent Tip: Review the logic above to help your child master the concept of integers worksheet 7th grade.
