Let's solve each problem on the worksheet step by step. The goal is to
add integers, including both positive and negative numbers. We'll use the rules of integer addition:
Rules for Adding Integers:
1.
Same signs: Add absolute values, keep the common sign.
2.
Different signs: Subtract smaller absolute value from larger, keep the sign of the number with the larger absolute value.
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We’ll go through each problem:
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1.) -3 + 9 + (-3)
Step-by-step:
-3 + 9 = 6
6 + (-3) = 3
✔ Answer: 3
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2.) -16 + 10 + 10
-16 + 10 = -6
-6 + 10 = 4
✔ Answer: 4
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3.) -6 + 12 + 12
-6 + 12 = 6
6 + 12 = 18
✔ Answer: 18
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4.) 9 + 5 + (-14)
9 + 5 = 14
14 + (-14) = 0
✔ Answer: 0
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5.) -12 + (-10) + 9
-12 + (-10) = -22
-22 + 9 = -13
✔ Answer: -13
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6.) -2 + (-13) + 16
-2 + (-13) = -15
-15 + 16 = 1
✔ Answer: 1
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7.) 4 + 7 + (-9)
4 + 7 = 11
11 + (-9) = 2
✔ Answer: 2
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8.) -14 + 6 + (-12)
-14 + 6 = -8
-8 + (-12) = -20
✔ Answer: -20
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9.) 14 + (-11) + 2
14 + (-11) = 3
3 + 2 = 5
✔ Answer: 5
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10.) 6 + (-8) + 4
6 + (-8) = -2
-2 + 4 = 2
✔ Answer: 2
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11.) -12 + 6 + 1
-12 + 6 = -6
-6 + 1 = -5
✔ Answer: -5
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12.) -13 + (-7) + 10
-13 + (-7) = -20
-20 + 10 = -10
✔ Answer: -10
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13.) -2 + 15 + 10
-2 + 15 = 13
13 + 10 = 23
✔ Answer: 23
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14.) 14 + 11 + 10
14 + 11 = 25
25 + 10 = 35
✔ Answer: 35
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15.) 6 + (-9) + 9
6 + (-9) = -3
-3 + 9 = 6
✔ Answer: 6
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16.) -5 + 11 + 13
-5 + 11 = 6
6 + 13 = 19
✔ Answer: 19
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17.) -10 + 16 + 3
-10 + 16 = 6
6 + 3 = 9
✔ Answer: 9
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18.) -16 + (-7) + 13
-16 + (-7) = -23
-23 + 13 = -10
✔ Answer: -10
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19.) 3 + 13 + (-11)
3 + 13 = 16
16 + (-11) = 5
✔ Answer: 5
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20.) -11 + 11 + 14
-11 + 11 = 0
0 + 14 = 14
✔ Answer: 14
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✔ Final Answers:
1. 3
2. 4
3. 18
4. 0
5. -13
6. 1
7. 2
8. -20
9. 5
10. 2
11. -5
12. -10
13. 23
14. 35
15. 6
16. 19
17. 9
18. -10
19. 5
20. 14
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Let me know if you'd like this in a printable format or want explanations for specific problems!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting rational numbers worksheets.