Mixed Operations Integers worksheet - Free Printable

Problem: Solve the mixed operations involving integers.

#### Key Rules for Integer Operations:
1. Addition:
- Same signs: Add the absolute values and keep the sign.
- Different signs: Subtract the smaller absolute value from the larger, and take the sign of the number with the larger absolute value.

2. Subtraction:
- Subtracting a number is the same as adding its opposite. For example, \(a - b = a + (-b)\).

3. Multiplication/Division:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- The same rules apply for division.

---

Solutions:

#### Column 1:

1. (-34) - (-25)
\[
(-34) - (-25) = (-34) + 25 = -9
\]
Answer: \(-9\)

2. 13 × (-4)
\[
13 \times (-4) = -52
\]
Answer: \(-52\)

3. 23 - (-6)
\[
23 - (-6) = 23 + 6 = 29
\]
Answer: \(29\)

4. (-45) + (-87)
\[
(-45) + (-87) = -132
\]
Answer: \(-132\)

5. (-12) - 14
\[
(-12) - 14 = (-12) + (-14) = -26
\]
Answer: \(-26\)

6. 22 × (-3)
\[
22 \times (-3) = -66
\]
Answer: \(-66\)

7. (-44) + 3
\[
(-44) + 3 = -41
\]
Answer: \(-41\)

8. 13 × (-5)
\[
13 \times (-5) = -65
\]
Answer: \(-65\)

9. (-54) - (-23)
\[
(-54) - (-23) = (-54) + 23 = -31
\]
Answer: \(-31\)

10. (-34) × (-12)
\[
(-34) \times (-12) = 408
\]
Answer: \(408\)

11. (-65) - (-43)
\[
(-65) - (-43) = (-65) + 43 = -22
\]
Answer: \(-22\)

12. (-45) × (-38)
\[
(-45) \times (-38) = 1710
\]
Answer: \(1710\)

13. (-27) + 67
\[
(-27) + 67 = 40
\]
Answer: \(40\)

14. (-87) - 21
\[
(-87) - 21 = (-87) + (-21) = -108
\]
Answer: \(-108\)

15. (-43) × (-67)
\[
(-43) \times (-67) = 2881
\]
Answer: \(2881\)

---

#### Column 2:

1. -90 ÷ (-3)
\[
-90 \div (-3) = 30
\]
Answer: \(30\)

2. (-13) + 20
\[
(-13) + 20 = 7
\]
Answer: \(7\)

3. -42 ÷ (-7)
\[
-42 \div (-7) = 6
\]
Answer: \(6\)

4. 15 × -11
\[
15 \times -11 = -165
\]
Answer: \(-165\)

5. -16 ÷ (-4)
\[
-16 \div (-4) = 4
\]
Answer: \(4\)

6. 34 - (-7)
\[
34 - (-7) = 34 + 7 = 41
\]
Answer: \(41\)

7. 68 ÷ (-4)
\[
68 \div (-4) = -17
\]
Answer: \(-17\)

8. 56 + (-13)
\[
56 + (-13) = 56 - 13 = 43
\]
Answer: \(43\)

9. -72 ÷ (-9)
\[
-72 \div (-9) = 8
\]
Answer: \(8\)

10. -31 + 54
\[
-31 + 54 = 23
\]
Answer: \(23\)

11. -84 ÷ 6
\[
-84 \div 6 = -14
\]
Answer: \(-14\)

12. (-34) - (-65)
\[
(-34) - (-65) = (-34) + 65 = 31
\]
Answer: \(31\)

13. -16 × 12
\[
-16 \times 12 = -192
\]
Answer: \(-192\)

14. -85 ÷ (-17)
\[
-85 \div (-17) = 5
\]
Answer: \(5\)

15. (-99) - (-34)
\[
(-99) - (-34) = (-99) + 34 = -65
\]
Answer: \(-65\)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. -9 & 2. 30 \\
3. -52 & 4. 7 \\
5. 29 & 6. 6 \\
7. -132 & 8. -165 \\
9. -26 & 10. 4 \\
11. -66 & 12. 41 \\
13. -41 & 14. -17 \\
15. -65 & 16. 43 \\
17. -31 & 18. 8 \\
19. 408 & 20. 23 \\
21. -22 & 22. -14 \\
23. 1710 & 24. 31 \\
25. 40 & 26. -192 \\
27. -108 & 28. 5 \\
29. 2881 & 30. -65 \\
\end{array}
}
\]