CBSE Class 7 Maths Worksheet - Integers | PDF | Nature - Free Printable

Here is the complete solution to the Class VII Mathematics Worksheet on Integers from O.P. Jindal School, Raigarh.

---

## I. Perform the following operations on Integers (Addition)

Rules:
- Same signs → Add absolute values, keep sign.
- Different signs → Subtract smaller absolute value from larger, keep sign of larger.

1. (+5) + (+2) = +7
2. (–5) + (–2) = –7
3. (+5) + (–2) = +3
4. (–5) + (+2) = –3
5. (+7) + (+3) = +10
6. (–7) + (–3) = –10
7. (+7) + (–3) = +4
8. (–7) + (+3) = –4
9. (+9) + (+4) = +13
10. (–9) + (+4) = –5
11. (+9) + (–4) = +5
12. (–9) + (+4) = –5
13. (–7) + (–2) = –9
14. (–7) + (+2) = –5
15. (+7) + (–2) = +5

---

## II. Perform the following operations on Integers (Subtraction)

Rule:
a – b = a + (–b) → Change sign of subtrahend and add.

1. (+5) – (+2) = 5 – 2 = +3
2. (–5) – (–2) = –5 + 2 = –3
3. (+5) – (–2) = 5 + 2 = +7
4. (–5) – (+2) = –5 – 2 = –7
5. (+7) – (+3) = 7 – 3 = +4
6. (–7) – (–3) = –7 + 3 = –4
7. (+7) – (–3) = 7 + 3 = +10
8. (–7) – (+3) = –7 – 3 = –10
9. (+9) – (+4) = 9 – 4 = +5
10. (–9) – (–4) = –9 + 4 = –5
11. (+9) – (–4) = 9 + 4 = +13
12. (–9) – (+4) = –9 – 4 = –13
13. (–7) – (–2) = –7 + 2 = –5
14. (–7) – (+2) = –7 – 2 = –9
15. (+7) – (–2) = 7 + 2 = +9

---

## III. Perform the following operations on Integers (Multiplication & Division)

Rules:
- × or ÷: Same signs → Positive result
- × or ÷: Different signs → Negative result

Multiplication:

1. (+5) × (+2) = +10
2. (–5) × (–2) = +10
3. (+5) × (–2) = –10
4. (–5) × (+2) = –10
5. (+7) × (+3) = +21
6. (–7) × (–3) = +21
7. (+7) × (–3) = –21
8. (–7) × (+3) = –21
9. (+9) × (+4) = +36
10. (–9) × (–4) = +36
11. (+9) × (–4) = –36
12. (–9) × (+4) = –36
13. (–7) × (–2) = +14
14. (–7) × (+2) = –14
15. (+7) × (–2) = –14

Division:

16. –8 ÷ 2 = –4
17. 8 ÷ 2 = +4
18. 8 ÷ (–2) = –4
19. 24 ÷ (–2) = –12
20. –18 ÷ 6 = –3

---

## IV. Find

(a) (–7) – 8 – (–25)
= –7 – 8 + 25
= (–15) + 25
= +10

(b) (–13) + 32 – 8 – 1
= (–13 – 8 – 1) + 32
= (–22) + 32
= +10

(c) (–7) + (–8) + (–90)
= –7 – 8 – 90
= –105

(d) 50 – (–40) – (–2)
= 50 + 40 + 2
= +92

---

## V. Fill in the blanks with <, > or = sign

We compute both sides.

(a) (–3) + (–6) ___ (–3) – (–6)
Left: –3 –6 = –9
Right: –3 + 6 = +3
So: –9 < +3 → <

(b) (–21) – (–10) ___ (–31) + (+11)
Left: –21 + 10 = –11
Right: –31 + 11 = –20
So: –11 > –20 → >

(c) 45 – (–11) ___ 57 + (–4)
Left: 45 + 11 = 56
Right: 57 – 4 = 53
So: 56 > 53 → >

(d) (–25) – (–42) ___ (–42) – (–25)
Left: –25 + 42 = +17
Right: –42 + 25 = –17
So: +17 > –17 → >

✔ Answers:
(a) <
(b) >
(c) >
(d) >

---

## VI. Fill in the blanks using >, < or = sign

Compute both sides.

(a) (–8) + (–4) ___ (–8) – (–4)
Left: –8 –4 = –12
Right: –8 + 4 = –4
So: –12 < –4 → <

(b) (–3) + 7 – (19) ___ 15 – 8 + (–9)
Left: –3 + 7 – 19 = 4 – 19 = –15
Right: 15 – 8 – 9 = 7 – 9 = –2
So: –15 < –2 → <

(c) 23 – 41 + 11 ___ 23 – 41 – 11
Left: 23 – 41 + 11 = (23 + 11) – 41 = 34 – 41 = –7
Right: 23 – 41 – 11 = 23 – 52 = –29
So: –7 > –29 → >

✔ Answers:
(a) <
(b) <
(c) >

---

## ✔ Final Answer Summary:

I. Addition:

1. +7 2. –7 3. +3 4. –3 5. +10
6. –10 7. +4 8. –4 9. +13 10. –5
11. +5 12. –5 13. –9 14. –5 15. +5

II. Subtraction:

1. +3 2. –3 3. +7 4. –7 5. +4
6. –4 7. +10 8. –10 9. +5 10. –5
11. +13 12. –13 13. –5 14. –9 15. +9

III. Multiplication & Division:

1. +10 2. +10 3. –10 4. –10 5. +21
6. +21 7. –21 8. –21 9. +36 10. +36
11. –36 12. –36 13. +14 14. –14 15. –14
16. –4 17. +4 18. –4 19. –12 20. –3

IV. Find:

(a) +10 (b) +10 (c) –105 (d) +92

V. Signs:

(a) < (b) > (c) > (d) >

VI. Signs:

(a) < (b) < (c) >

---

Let me know if you’d like this formatted as a printable answer key!