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

Here are the solutions to the math worksheet on Integers.

I. Perform the following operations on Integers (Addition)

Rules:
* Same signs: Add the numbers and keep the sign.
* Different signs: Subtract the smaller number from the larger number and keep the sign of the larger number.

1. $(+5) + (+2) = 5 + 2 = \mathbf{7}$
2. $(-5) + (-2) = -(5 + 2) = \mathbf{-7}$
3. $(+5) + (-2) = 5 - 2 = \mathbf{3}$
4. $(-5) + (+2) = -(5 - 2) = \mathbf{-3}$
5. $(+7) + (+3) = 7 + 3 = \mathbf{10}$
6. $(-7) + (-3) = -(7 + 3) = \mathbf{-10}$
7. $(+7) + (-3) = 7 - 3 = \mathbf{4}$
8. $(-7) + (+3) = -(7 - 3) = \mathbf{-4}$
9. $(+9) + (+4) = 9 + 4 = \mathbf{13}$
10. $(-9) + (-4) = -(9 + 4) = \mathbf{-13}$
11. $(+9) + (-4) = 9 - 4 = \mathbf{5}$
12. $(-9) + (+4) = -(9 - 4) = \mathbf{-5}$
13. $(-7) + (+2) = -(7 - 2) = \mathbf{-5}$
14. $(+7) + (+2) = 7 + 2 = \mathbf{9}$
15. $(+7) + (-2) = 7 - 2 = \mathbf{5}$

---

II. Perform the following operations on Integers (Subtraction)

Rule: Change the subtraction sign to addition and flip the sign of the second number (e.g., $a - b$ becomes $a + (-b)$). Then follow the addition rules above.

1. $(+5) - (+2) \rightarrow 5 + (-2) = \mathbf{3}$
2. $(-5) - (-2) \rightarrow -5 + 2 = \mathbf{-3}$
3. $(+5) - (-2) \rightarrow 5 + 2 = \mathbf{7}$
4. $(-5) - (+2) \rightarrow -5 + (-2) = \mathbf{-7}$
5. $(+7) - (+3) \rightarrow 7 + (-3) = \mathbf{4}$
6. $(-7) - (-3) \rightarrow -7 + 3 = \mathbf{-4}$
7. $(+7) - (-3) \rightarrow 7 + 3 = \mathbf{10}$
8. $(-7) - (+3) \rightarrow -7 + (-3) = \mathbf{-10}$
9. $(+9) - (+4) \rightarrow 9 + (-4) = \mathbf{5}$
10. $(-9) - (-4) \rightarrow -9 + 4 = \mathbf{-5}$
11. $(+9) - (-4) \rightarrow 9 + 4 = \mathbf{13}$
12. $(-9) - (+4) \rightarrow -9 + (-4) = \mathbf{-13}$
13. $(-7) - (-2) \rightarrow -7 + 2 = \mathbf{-5}$
14. $(-7) - (+2) \rightarrow -7 + (-2) = \mathbf{-9}$
15. $(+7) - (-2) \rightarrow 7 + 2 = \mathbf{9}$

---

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

Rules:
* $(+) \times (+) = +$
* $(-) \times (-) = +$
* $(+) \times (-) = -$
* $(-) \times (+) = -$
*(Same rules apply for division)*

1. $(+5) \times (+2) = \mathbf{10}$
2. $(-5) \times (-2) = \mathbf{10}$
3. $(+5) \times (-2) = \mathbf{-10}$
4. $(-5) \times (+2) = \mathbf{-10}$
5. $(+7) \times (+3) = \mathbf{21}$
6. $(-7) \times (-3) = \mathbf{21}$
7. $(+7) \times (-3) = \mathbf{-21}$
8. $(-7) \times (+3) = \mathbf{-21}$
9. $(+9) \times (+4) = \mathbf{36}$
10. $(-9) \times (-4) = \mathbf{36}$
11. $(+9) \times (-4) = \mathbf{-36}$
12. $(-9) \times (+4) = \mathbf{-36}$
13. $(-7) \times (-2) = \mathbf{14}$
14. $(-7) \times (+2) = \mathbf{-14}$
15. $(+7) \times (-2) = \mathbf{-14}$
16. $-8 / -2 = \mathbf{4}$
17. $-8 / 2 = \mathbf{-4}$
18. $8 / (-2) = \mathbf{-4}$
19. $24 / (-2) = \mathbf{-12}$
20. $-18 / 6 = \mathbf{-3}$

---

IV. Find the value

(a) $(-7) - 8 - (-25)$
Change minus to plus for the last term: $-7 - 8 + 25$
Combine negatives: $-15 + 25$
Answer: $\mathbf{10}$

(b) $(-13) + 32 - 8 - 1$
Group positives and negatives: $(32) + (-13 - 8 - 1)$
Sum of negatives: $-22$
Calculate: $32 - 22$
Answer: $\mathbf{10}$

(c) $(-7) + (-8) + (-90)$
All are negative, so add them up and keep the negative sign:
$7 + 8 + 90 = 105$
Answer: $\mathbf{-105}$

(d) $50 - (-40) - (-2)$
Change double negatives to positives: $50 + 40 + 2$
Answer: $\mathbf{92}$

---

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

(a) $(-3) + (-6)$ \_\_\_\_\_ $(-3) - (-6)$
Left side: $-3 - 6 = -9$
Right side: $-3 + 6 = 3$
Since $-9$ is less than $3$:
Answer: <

(b) $(-21) - (-10)$ \_\_\_\_\_ $(-31) + (-11)$
Left side: $-21 + 10 = -11$
Right side: $-31 - 11 = -42$
Since $-11$ is greater (closer to zero) than $-42$:
Answer: >

(c) $45 - (-11)$ \_\_\_\_\_ $57 + (-4)$
Left side: $45 + 11 = 56$
Right side: $57 - 4 = 53$
Since $56$ is greater than $53$:
Answer: >

(d) $(-25) - (-42)$ \_\_\_\_\_ $(-42) - (-25)$
Left side: $-25 + 42 = 17$
Right side: $-42 + 25 = -17$
Since positive $17$ is greater than negative $17$:
Answer: >

---

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

(a) $(-8) + (-4)$ \_\_\_\_\_ $(-8) - (-4)$
Left side: $-8 - 4 = -12$
Right side: $-8 + 4 = -4$
$-12$ is smaller than $-4$.
Answer: <

(b) $(-3) + 7 - (-19)$ \_\_\_\_\_ $15 - 8 + (-9)$
Left side: $-3 + 7 + 19 = 4 + 19 = 23$
Right side: $15 - 8 - 9 = 7 - 9 = -2$
$23$ is greater than $-2$.
Answer: >

(c) $23 - 41 + 11$ \_\_\_\_\_ $23 - 41 - 11$
Left side: $23 + 11 - 41 = 34 - 41 = -7$
Right side: $23 - 41 - 11 = -18 - 11 = -29$
$-7$ is greater than $-29$.
Answer: >