Adding Integers worksheet with 30 problems for practicing addition of positive and negative numbers.
A math worksheet titled "Adding Integers (A)" with 30 problems involving addition of positive and negative integers, including spaces for name, date, and score.
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Show Answer Key & Explanations
Step-by-step solution for: Adding Mixed Integers from -12 to 12 (75 Questions; All ...
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Show Answer Key & Explanations
Step-by-step solution for: Adding Mixed Integers from -12 to 12 (75 Questions; All ...
Let’s solve each problem step by step. We’re adding integers — that means positive and negative numbers. Remember:
- If both numbers are positive, add them and keep the + sign.
- If both are negative, add their absolute values and keep the – sign.
- If one is positive and one is negative, subtract the smaller absolute value from the larger one, and keep the sign of the number with the larger absolute value.
We’ll go row by row, left to right.
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First column:
1. (+10) + (+8) = 10 + 8 = 18
2. (–12) + (+10) = –(12 – 10) = –2
3. (+10) + (+9) = 10 + 9 = 19
4. (–9) + (+11) = +(11 – 9) = +2
5. (+12) + (–8) = +(12 – 8) = +4
6. (+11) + (+10) = 11 + 10 = 21
7. (–9) + (–10) = –(9 + 10) = –19
8. (–8) + (–10) = –(8 + 10) = –18
9. (+12) + (–12) = 0 → 0
10. (–10) + (+12) = +(12 – 10) = +2
11. (+8) + (–9) = –(9 – 8) = –1
12. (+12) + (–11) = +(12 – 11) = +1
13. (+8) + (–8) = 0 → 0
14. (+10) + (+10) = 10 + 10 = 20
15. (+10) + (+3) = 10 + 3 = 13
16. (–6) + (+5) = –(6 – 5) = –1
17. (+1) + (+2) = 1 + 2 = 3
18. (–3) + (+11) = +(11 – 3) = +8
19. (–11) + (–6) = –(11 + 6) = –17
20. (+3) + (–8) = –(8 – 3) = –5
21. (+5) + (+8) = 5 + 8 = 13
22. (–6) + (+4) = –(6 – 4) = –2
23. (+10) + (–11) = –(11 – 10) = –1
24. (–12) + (–9) = –(12 + 9) = –21
25. (–7) + (–12) = –(7 + 12) = –19
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Second column:
1. (–4) + (–4) = –(4 + 4) = –8
2. (+6) + (+10) = 6 + 10 = 16
3. (–3) + (+6) = +(6 – 3) = +3
4. (–11) + (–12) = –(11 + 12) = –23
5. (+7) + (–3) = +(7 – 3) = +4
6. (–7) + (+1) = –(7 – 1) = –6
7. (–9) + (–8) = –(9 + 8) = –17
8. (–10) + (–1) = –(10 + 1) = –11
9. (–4) + (–9) = –(4 + 9) = –13
10. (–5) + (–4) = –(5 + 4) = –9
11. (–11) + (+5) = –(11 – 5) = –6
12. (+2) + (+4) = 2 + 4 = 6
13. (–2) + (–1) = –(2 + 1) = –3
14. (+12) + (–5) = +(12 – 5) = +7
15. (–11) + (+2) = –(11 – 2) = –9
16. (–4) + (+5) = +(5 – 4) = +1
17. (+6) + (+6) = 6 + 6 = 12
18. (–2) + (+7) = +(7 – 2) = +5
19. (+7) + (+11) = 7 + 11 = 18
20. (–5) + (+7) = +(7 – 5) = +2
21. (–11) + (–9) = –(11 + 9) = –20
22. (–9) + (–3) = –(9 + 3) = –12
23. (+1) + (–10) = –(10 – 1) = –9
24. (+4) + (+1) = 4 + 1 = 5
25. (–3) + (+4) = +(4 – 3) = +1
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Third column:
1. (–9) + (+6) = –(9 – 6) = –3
2. (–9) + (+9) = 0 → 0
3. (+7) + (–6) = +(7 – 6) = +1
4. (–1) + (+8) = +(8 – 1) = +7
5. (–4) + (+12) = +(12 – 4) = +8
6. (+5) + (–1) = +(5 – 1) = +4
7. (+6) + (+8) = 6 + 8 = 14
8. (+11) + (–3) = +(11 – 3) = +8
9. (+8) + (+12) = 8 + 12 = 20
10. (+9) + (–12) = –(12 – 9) = –3
11. (–7) + (+10) = +(10 – 7) = +3
12. (–8) + (–7) = –(8 + 7) = –15
13. (–11) + (–8) = –(11 + 8) = –19
14. (+12) + (+1) = 12 + 1 = 13
15. (+3) + (+5) = 3 + 5 = 8
16. (–6) + (+7) = +(7 – 6) = +1
17. (+8) + (+11) = 8 + 11 = 19
18. (–2) + (+8) = +(8 – 2) = +6
19. (+11) + (+7) = 11 + 7 = 18
20. (+11) + (+11) = 11 + 11 = 22
21. (–4) + (+11) = +(11 – 4) = +7
22. (+6) + (–12) = –(12 – 6) = –6
23. (–5) + (+10) = +(10 – 5) = +5
24. (–8) + (+6) = –(8 – 6) = –2
25. (–1) + (+11) = +(11 – 1) = +10
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Final Answer:
Here are all the answers in order, grouped by columns as shown on the worksheet:
Column 1:
18, –2, 19, +2, +4, 21, –19, –18, 0, +2, –1, +1, 0, 20, 13, –1, 3, +8, –17, –5, 13, –2, –1, –21, –19
Column 2:
–8, 16, +3, –23, +4, –6, –17, –11, –13, –9, –6, 6, –3, +7, –9, +1, 12, +5, 18, +2, –20, –12, –9, 5, +1
Column 3:
–3, 0, +1, +7, +8, +4, 14, +8, 20, –3, +3, –15, –19, 13, 8, +1, 19, +6, 18, 22, +7, –6, +5, –2, +10
- If both numbers are positive, add them and keep the + sign.
- If both are negative, add their absolute values and keep the – sign.
- If one is positive and one is negative, subtract the smaller absolute value from the larger one, and keep the sign of the number with the larger absolute value.
We’ll go row by row, left to right.
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First column:
1. (+10) + (+8) = 10 + 8 = 18
2. (–12) + (+10) = –(12 – 10) = –2
3. (+10) + (+9) = 10 + 9 = 19
4. (–9) + (+11) = +(11 – 9) = +2
5. (+12) + (–8) = +(12 – 8) = +4
6. (+11) + (+10) = 11 + 10 = 21
7. (–9) + (–10) = –(9 + 10) = –19
8. (–8) + (–10) = –(8 + 10) = –18
9. (+12) + (–12) = 0 → 0
10. (–10) + (+12) = +(12 – 10) = +2
11. (+8) + (–9) = –(9 – 8) = –1
12. (+12) + (–11) = +(12 – 11) = +1
13. (+8) + (–8) = 0 → 0
14. (+10) + (+10) = 10 + 10 = 20
15. (+10) + (+3) = 10 + 3 = 13
16. (–6) + (+5) = –(6 – 5) = –1
17. (+1) + (+2) = 1 + 2 = 3
18. (–3) + (+11) = +(11 – 3) = +8
19. (–11) + (–6) = –(11 + 6) = –17
20. (+3) + (–8) = –(8 – 3) = –5
21. (+5) + (+8) = 5 + 8 = 13
22. (–6) + (+4) = –(6 – 4) = –2
23. (+10) + (–11) = –(11 – 10) = –1
24. (–12) + (–9) = –(12 + 9) = –21
25. (–7) + (–12) = –(7 + 12) = –19
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Second column:
1. (–4) + (–4) = –(4 + 4) = –8
2. (+6) + (+10) = 6 + 10 = 16
3. (–3) + (+6) = +(6 – 3) = +3
4. (–11) + (–12) = –(11 + 12) = –23
5. (+7) + (–3) = +(7 – 3) = +4
6. (–7) + (+1) = –(7 – 1) = –6
7. (–9) + (–8) = –(9 + 8) = –17
8. (–10) + (–1) = –(10 + 1) = –11
9. (–4) + (–9) = –(4 + 9) = –13
10. (–5) + (–4) = –(5 + 4) = –9
11. (–11) + (+5) = –(11 – 5) = –6
12. (+2) + (+4) = 2 + 4 = 6
13. (–2) + (–1) = –(2 + 1) = –3
14. (+12) + (–5) = +(12 – 5) = +7
15. (–11) + (+2) = –(11 – 2) = –9
16. (–4) + (+5) = +(5 – 4) = +1
17. (+6) + (+6) = 6 + 6 = 12
18. (–2) + (+7) = +(7 – 2) = +5
19. (+7) + (+11) = 7 + 11 = 18
20. (–5) + (+7) = +(7 – 5) = +2
21. (–11) + (–9) = –(11 + 9) = –20
22. (–9) + (–3) = –(9 + 3) = –12
23. (+1) + (–10) = –(10 – 1) = –9
24. (+4) + (+1) = 4 + 1 = 5
25. (–3) + (+4) = +(4 – 3) = +1
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Third column:
1. (–9) + (+6) = –(9 – 6) = –3
2. (–9) + (+9) = 0 → 0
3. (+7) + (–6) = +(7 – 6) = +1
4. (–1) + (+8) = +(8 – 1) = +7
5. (–4) + (+12) = +(12 – 4) = +8
6. (+5) + (–1) = +(5 – 1) = +4
7. (+6) + (+8) = 6 + 8 = 14
8. (+11) + (–3) = +(11 – 3) = +8
9. (+8) + (+12) = 8 + 12 = 20
10. (+9) + (–12) = –(12 – 9) = –3
11. (–7) + (+10) = +(10 – 7) = +3
12. (–8) + (–7) = –(8 + 7) = –15
13. (–11) + (–8) = –(11 + 8) = –19
14. (+12) + (+1) = 12 + 1 = 13
15. (+3) + (+5) = 3 + 5 = 8
16. (–6) + (+7) = +(7 – 6) = +1
17. (+8) + (+11) = 8 + 11 = 19
18. (–2) + (+8) = +(8 – 2) = +6
19. (+11) + (+7) = 11 + 7 = 18
20. (+11) + (+11) = 11 + 11 = 22
21. (–4) + (+11) = +(11 – 4) = +7
22. (+6) + (–12) = –(12 – 6) = –6
23. (–5) + (+10) = +(10 – 5) = +5
24. (–8) + (+6) = –(8 – 6) = –2
25. (–1) + (+11) = +(11 – 1) = +10
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Final Answer:
Here are all the answers in order, grouped by columns as shown on the worksheet:
Column 1:
18, –2, 19, +2, +4, 21, –19, –18, 0, +2, –1, +1, 0, 20, 13, –1, 3, +8, –17, –5, 13, –2, –1, –21, –19
Column 2:
–8, 16, +3, –23, +4, –6, –17, –11, –13, –9, –6, 6, –3, +7, –9, +1, 12, +5, 18, +2, –20, –12, –9, 5, +1
Column 3:
–3, 0, +1, +7, +8, +4, 14, +8, 20, –3, +3, –15, –19, 13, 8, +1, 19, +6, 18, 22, +7, –6, +5, –2, +10
Parent Tip: Review the logic above to help your child master the concept of grade 12 math worksheet.