Let's solve each of these addition problems involving positive and negative integers. We'll go step by step, applying the rules for adding integers:
Rules to remember:
-
Adding two positive numbers: Add them normally.
-
Adding two negative numbers: Add their absolute values and keep the negative sign.
-
Adding a positive and a negative number: Subtract the smaller absolute value from the larger one and keep the sign of the number with the larger absolute value.
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Now let’s solve each problem:
1.
-2 + 3
→ 3 is larger than 2, so subtract: 3 - 2 = 1, and since 3 is positive:
1
2.
0 + -6
→ Adding zero doesn't change the number:
-6
3.
7 + 1
→ Both positive: 7 + 1 =
8
4.
-6 + 4
→ 6 > 4, so subtract: 6 - 4 = 2, but -6 has larger magnitude →
-2
5.
2 + 4
→ Both positive: 2 + 4 =
6
6.
5 + 10
→ Both positive: 5 + 10 =
15
7.
-6 + 0
→ Adding zero:
-6
8.
-9 + -1
→ Two negatives: add absolute values: 9 + 1 = 10 →
-10
9.
0 + -4
→ Same as -4:
-4
10.
-5 + -5
→ Two negatives: 5 + 5 = 10 →
-10
11.
-8 + -2
→ Two negatives: 8 + 2 = 10 →
-10
12.
-8 + -1
→ Two negatives: 8 + 1 = 9 →
-9
13.
1 + -7
→ Same as 1 - 7 = -6 →
-6
14.
5 + -6
→ 6 > 5, so 6 - 5 = 1, and -6 has larger magnitude →
-1
15.
-3 + -3
→ Two negatives: 3 + 3 = 6 →
-6
16.
-4 + -9
→ Two negatives: 4 + 9 = 13 →
-13
17.
-8 + -7
→ Two negatives: 8 + 7 = 15 →
-15
18.
3 + -5
→ 5 > 3, so 5 - 3 = 2, and -5 has larger magnitude →
-2
19.
-3 + -2
→ Two negatives: 3 + 2 = 5 →
-5
20.
-8 + -5
→ Two negatives: 8 + 5 = 13 →
-13
21.
7 + 7
→ Both positive: 7 + 7 =
14
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Final Answers:
1.
1
2.
-6
3.
8
4.
-2
5.
6
6.
15
7.
-6
8.
-10
9.
-4
10.
-10
11.
-10
12.
-9
13.
-6
14.
-1
15.
-6
16.
-13
17.
-15
18.
-2
19.
-5
20.
-13
21.
14
✔ All solved! Let me know if you'd like a visual explanation or number line examples.
Parent Tip: Review the logic above to help your child master the concept of worksheet addition of integers.
