Integers Worksheet -- All Operations with Integers (Range -12 to ... - Free Printable

Here are the solutions for the integer operations worksheet. I have calculated each one step-by-step to ensure accuracy.

Column 1:
1. -24 ÷ 3: A negative divided by a positive is negative. $24 \div 3 = 8$. Result: -8
2. -2 × -7: A negative times a negative is positive. $2 \times 7 = 14$. Result: 14
3. 5 + 6: Positive plus positive. Result: 11
4. -6 + -5: Adding two negatives makes it more negative. $6 + 5 = 11$. Result: -11
5. 4 × -10: Positive times negative is negative. $4 \times 10 = 40$. Result: -40
6. -80 ÷ -10: Negative divided by negative is positive. $80 \div 10 = 8$. Result: 8
7. -10 -10: Negative divided by negative is positive. Any number divided by itself is 1. Result: 1
8. -11 + 7: Signs are different, so subtract ($11 - 7 = 4$). The larger number (11) is negative, so the answer is negative. Result: -4
9. -1 + 12: Signs are different, so subtract ($12 - 1 = 11$). The larger number (12) is positive, so the answer is positive. Result: 11
10. -96 12: Negative divided by positive is negative. $96 \div 12 = 8$. Result: -8

Column 2:
11. 6 + -12: Same as $6 - 12$. Subtract ($12 - 6 = 6$). The larger number (12) is negative. Result: -6
12. 6 - 5: Simple subtraction. Result: 1
13. -6 - 12: Same as $-6 + (-12)$. Add the magnitudes ($6 + 12 = 18$) and keep the negative sign. Result: -18
14. -5 - -6: Subtracting a negative is like adding a positive. $-5 + 6$. Subtract ($6 - 5 = 1$). The larger number (6) is positive. Result: 1
15. -12 ÷ -2: Negative divided by negative is positive. $12 \div 2 = 6$. Result: 6
16. -5 ÷ 5: Negative divided by positive is negative. $5 \div 5 = 1$. Result: -1
17. 6 - -2: Subtracting a negative is like adding. $6 + 2$. Result: 8
18. 48 ÷ -12: Positive divided by negative is negative. $48 \div 12 = 4$. Result: -4
19. 44 ÷ 4: Positive divided by positive. $44 \div 4 = 11$. Result: 11
20. 12 -2: Positive divided by negative is negative. $12 \div 2 = 6$. Result: -6

Column 3:
21. -40 ÷ 5: Negative divided by positive is negative. $40 \div 5 = 8$. Result: -8
22. -48 ÷ -6: Negative divided by negative is positive. $48 \div 6 = 8$. Result: 8
23. 132 ÷ -11: Positive divided by negative is negative. $132 \div 11 = 12$. Result: -12
24. 2 · 8: Multiplication. $2 \times 8 = 16$. Result: 16
25. 12 ÷ -6: Positive divided by negative is negative. $12 \div 6 = 2$. Result: -2
26. 4 ÷ 2: Division. $4 \div 2 = 2$. Result: 2
27. -60 ÷ 5: Negative divided by positive is negative. $60 \div 5 = 12$. Result: -12
28. -5 · 4: Negative times positive is negative. $5 \times 4 = 20$. Result: -20
29. 11 - -10: Subtracting a negative is like adding. $11 + 10 = 21$. Result: 21
30. 3 - -9: Subtracting a negative is like adding. $3 + 9 = 12$. Result: 12

Final Answer:
-24 ÷ 3 = -8
-2 × -7 = 14
5 + 6 = 11
-6 + -5 = -11
4 × -10 = -40
-80 ÷ -10 = 8
-10 -10 = 1
-11 + 7 = -4
-1 + 12 = 11
-96 ÷ 12 = -8

6 + -12 = -6
6 - 5 = 1
-6 - 12 = -18
-5 - -6 = 1
-12 ÷ -2 = 6
-5 ÷ 5 = -1
6 - -2 = 8
48 ÷ -12 = -4
44 ÷ 4 = 11
12 ÷ -2 = -6

-40 ÷ 5 = -8
-48 ÷ -6 = 8
132 ÷ -11 = -12
2 · 8 = 16
12 ÷ -6 = -2
4 ÷ 2 = 2
-60 ÷ 5 = -12
-5 · 4 = -20
11 - -10 = 21
3 - -9 = 12