Let's solve the
Addition of Integers (-10 to +10) worksheet step by step.
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Understanding Integer Addition Rules:
- 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 use the sign of the number with the larger absolute value.
- Any number plus
zero is the number itself.
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Now, let’s go through each problem:
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1.
-2 + 3 =
→ 3 - 2 =
1
2.
0 + -6 =
→ 0 + (-6) =
-6
3.
7 + 1 =
→ 7 + 1 =
8
4.
-6 + 4 =
→ 6 - 4 = 2, but since -6 is larger in magnitude and negative →
-2
5.
2 + 4 =
→ 2 + 4 =
6
6.
5 + 10 =
→ 5 + 10 =
15
7.
-6 + 0 =
→ Any number + 0 = itself →
-6
8.
-9 + -1 =
→ Both negative: -(9 + 1) =
-10
9.
0 + 4 =
→ 0 + 4 =
4
10.
-5 + -5 =
→ -(5 + 5) =
-10
11.
-8 + -2 =
→ -(8 + 2) =
-10
12.
-8 + -1 =
→ -(8 + 1) =
-9
13.
1 + -7 =
→ 1 - 7 =
-6
14.
5 + -6 =
→ 5 - 6 =
-1
15.
-3 + 3 =
→ Opposites cancel out →
0
16.
-4 + -9 =
→ -(4 + 9) =
-13
17.
-8 + 7 =
→ 8 - 7 = 1, but -8 has larger magnitude →
-1
18.
3 + -5 =
→ 3 - 5 =
-2
19.
-3 + -2 =
→ -(3 + 2) =
-5
20.
-8 + 5 =
→ 8 - 5 = 3, but -8 has larger magnitude →
-3
21.
7 + 7 =
→ 7 + 7 =
14
22.
6 + -1 =
→ 6 - 1 =
5
23.
10 + 0 =
→ 10 + 0 =
10
24.
5 + -5 =
→ Opposites cancel →
0
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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.
0
16.
-13
17.
-1
18.
-2
19.
-5
20.
-3
21.
14
22.
5
23.
10
24.
0
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✔ All problems solved using integer addition rules. Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of integers worksheet pdf.