Here is the completed worksheet with all sums calculated, followed by a clear explanation of how to solve each type of integer addition problem.
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✔ Completed Worksheet: Adding Integers (A)
Left Column:
1. 9 + -11 =
-2
2. 7 + -11 =
-4
3. -2 + 11 =
9
4. -12 + 2 =
-10
5. 8 + -10 =
-2
6. -6 + -12 =
-18
7. 9 + -9 =
0
8. 11 + 4 =
15
9. -12 + 10 =
-2
10. 8 + 6 =
14
11. -8 + 12 =
4
12. 1 + 11 =
12
13. 10 + -3 =
7
Right Column:
1. 12 + 11 =
23
2. -7 + 8 =
1
3. -1 + 12 =
11
4. -9 + -2 =
-11
5. 6 + 8 =
14
6. 3 + -11 =
-8
7. 11 + -10 =
1
8. -12 + 6 =
-6
9. -4 + -11 =
-15
10. -1 + 4 =
3
11. -12 + -8 =
-20
12. -10 + 10 =
0
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## 📘 Explanation: How to Add Integers
There are 3 main cases when adding integers:
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🔹 Case 1: Adding Two Positive Numbers
→ Just add them like normal arithmetic.
Example:
12 + 11 = 23
8 + 6 = 14
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🔹 Case 2: Adding Two Negative Numbers
→ Add their absolute values and keep the negative sign.
Example:
-6 + -12 → |6| + |12| = 18 → so answer is
-18
-9 + -2 → 9 + 2 = 11 → answer is
-11
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🔹 Case 3: Adding a Positive and a Negative Number
→ Subtract the smaller absolute value from the larger one.
→ The sign of the result is the same as the number with the larger absolute value.
Examples:
-
9 + (-11)
→ |9| = 9, |11| = 11 → 11 > 9 → subtract: 11 - 9 = 2
→ Since 11 is negative and larger, answer is
-2
-
-2 + 11
→ |2| = 2, |11| = 11 → 11 > 2 → subtract: 11 - 2 = 9
→ Since 11 is positive and larger, answer is
9
-
-7 + 8
→ |7| = 7, |8| = 8 → 8 > 7 → 8 - 7 = 1
→ 8 is positive → answer is
1
-
-12 + 10
→ |12| = 12, |10| = 10 → 12 > 10 → 12 - 10 = 2
→ 12 is negative → answer is
-2
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🔹 Special Case: Adding Opposites (Additive Inverses)
→ When two numbers are opposites (same magnitude, different signs), their sum is zero.
Examples:
9 + (-9) =
0
-10 + 10 =
0
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##
✔ Final Tips:
- Think of it as “net movement” on a number line: positive moves right, negative moves left.
- You can also think of negatives as “debt” — adding debt makes things worse (more negative), paying off debt (adding positive) helps.
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You now have all the correct answers and understand the rules behind them! Great job practicing integer addition. 😊
Parent Tip: Review the logic above to help your child master the concept of adding integers worksheet.
