Adding, Subtracting, Multiplying and Dividing Mixed Integers from ... - Free Printable
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Step-by-step solution for: Adding, Subtracting, Multiplying and Dividing Mixed Integers from ...
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Show Answer Key & Explanations
Step-by-step solution for: Adding, Subtracting, Multiplying and Dividing Mixed Integers from ...
Sure! Let’s solve each problem step by step. This worksheet involves adding, subtracting, multiplying, and dividing integers — positive and negative numbers.
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We’ll go row by row, left column first, then right column.
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1. (–6) – (–13)
Subtracting a negative = adding a positive:
→ –6 + 13 = 7
2. (–5) + (–9)
Adding two negatives: add absolute values, keep negative sign.
→ –(5+9) = –14
3. (–12) – (+7)
Subtracting a positive = more negative.
→ –12 – 7 = –19
4. (+90) ÷ (–10)
Positive ÷ negative = negative.
→ 90 ÷ 10 = 9 → –9
5. (–10) + (–10)
→ –(10+10) = –20
6. (–3) × (+13)
Negative × positive = negative.
→ –(3×13) = –39
7. (+4) – (–13)
→ 4 + 13 = 17
8. (–11) – (+7)
→ –11 – 7 = –18
9. (–42) ÷ (+3)
Negative ÷ positive = negative.
→ –(42÷3) = –14
10. (+8) + (+15)
→ 8 + 15 = 23
11. (–15) + (+5)
→ –15 + 5 = –10
12. (–36) ÷ (–9)
Negative ÷ negative = positive.
→ 36 ÷ 9 = 4
13. (–10) – (–5)
→ –10 + 5 = –5
14. (–98) ÷ (+14)
→ –(98÷14) = –7
15. (–9) × (+13)
→ –(9×13) = –117
16. (–20) ÷ (+2)
→ –(20÷2) = –10
17. (–15) – (–7)
→ –15 + 7 = –8
18. (+15) × (–9)
→ –(15×9) = –135
19. (–1) × (–12)
Negative × negative = positive.
→ 1×12 = 12
20. (+12) + (+10)
→ 12 + 10 = 22
21. (–14) – (+14)
→ –14 – 14 = –28
22. (–12) – (+13)
→ –12 – 13 = –25
23. (–12) + (–9)
→ –(12+9) = –21
24. (–15) – (+3)
→ –15 – 3 = –18
25. (–13) × (+3)
→ –(13×3) = –39
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1. (+13) × (–4)
→ –(13×4) = –52
2. (+9) – (+2)
→ 9 – 2 = 7
3. (+72) ÷ (–8)
→ –(72÷8) = –9
4. (+2) – (+15)
→ 2 – 15 = –13
5. (+5) × (+13)
→ 5×13 = 65
6. (+15) – (–1)
→ 15 + 1 = 16
7. (+130) ÷ (+13)
→ 130 ÷ 13 = 10
8. (–72) ÷ (+12)
→ –(72÷12) = –6
9. (–5) + (–10)
→ –(5+10) = –15
10. (–14) – (–9)
→ –14 + 9 = –5
11. (–14) + (+1)
→ –14 + 1 = –13
12. (+11) × (–5)
→ –(11×5) = –55
13. (–6) × (+14)
→ –(6×14) = –84
14. (–84) ÷ (–6)
Negative ÷ negative = positive.
→ 84 ÷ 6 = 14
15. (+13) × (+2)
→ 13×2 = 26
16. (–5) × (+11)
→ –(5×11) = –55
17. (+80) ÷ (+10)
→ 80 ÷ 10 = 8
18. (+14) + (+2)
→ 14 + 2 = 16
19. (–13) ÷ (+13)
→ –(13÷13) = –1
20. (+195) ÷ (+13)
→ 195 ÷ 13 = 15
21. (–5) × (–12)
Negative × negative = positive.
→ 5×12 = 60
22. (+2) + (+8)
→ 2 + 8 = 10
23. (+8) × (–7)
→ –(8×7) = –56
24. (–10) × (+6)
→ –(10×6) = –60
25. (–3) + (+14)
→ –3 + 14 = 11
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## ✔ Final Answer Key:
1. 7
2. –14
3. –19
4. –9
5. –20
6. –39
7. 17
8. –18
9. –14
10. 23
11. –10
12. 4
13. –5
14. –7
15. –117
16. –10
17. –8
18. –135
19. 12
20. 22
21. –28
22. –25
23. –21
24. –18
25. –39
1. –52
2. 7
3. –9
4. –13
5. 65
6. 16
7. 10
8. –6
9. –15
10. –5
11. –13
12. –55
13. –84
14. 14
15. 26
16. –55
17. 8
18. 16
19. –1
20. 15
21. 60
22. 10
23. –56
24. –60
25. 11
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✔ Tips to Remember:
- Addition/Subtraction: Think of number line or “owe” vs “have”.
- Multiplication/Division:
- Same signs → positive
- Different signs → negative
Let me know if you want this in printable format or need explanations for specific problems!
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We’ll go row by row, left column first, then right column.
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Left Column:
1. (–6) – (–13)
Subtracting a negative = adding a positive:
→ –6 + 13 = 7
2. (–5) + (–9)
Adding two negatives: add absolute values, keep negative sign.
→ –(5+9) = –14
3. (–12) – (+7)
Subtracting a positive = more negative.
→ –12 – 7 = –19
4. (+90) ÷ (–10)
Positive ÷ negative = negative.
→ 90 ÷ 10 = 9 → –9
5. (–10) + (–10)
→ –(10+10) = –20
6. (–3) × (+13)
Negative × positive = negative.
→ –(3×13) = –39
7. (+4) – (–13)
→ 4 + 13 = 17
8. (–11) – (+7)
→ –11 – 7 = –18
9. (–42) ÷ (+3)
Negative ÷ positive = negative.
→ –(42÷3) = –14
10. (+8) + (+15)
→ 8 + 15 = 23
11. (–15) + (+5)
→ –15 + 5 = –10
12. (–36) ÷ (–9)
Negative ÷ negative = positive.
→ 36 ÷ 9 = 4
13. (–10) – (–5)
→ –10 + 5 = –5
14. (–98) ÷ (+14)
→ –(98÷14) = –7
15. (–9) × (+13)
→ –(9×13) = –117
16. (–20) ÷ (+2)
→ –(20÷2) = –10
17. (–15) – (–7)
→ –15 + 7 = –8
18. (+15) × (–9)
→ –(15×9) = –135
19. (–1) × (–12)
Negative × negative = positive.
→ 1×12 = 12
20. (+12) + (+10)
→ 12 + 10 = 22
21. (–14) – (+14)
→ –14 – 14 = –28
22. (–12) – (+13)
→ –12 – 13 = –25
23. (–12) + (–9)
→ –(12+9) = –21
24. (–15) – (+3)
→ –15 – 3 = –18
25. (–13) × (+3)
→ –(13×3) = –39
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Right Column:
1. (+13) × (–4)
→ –(13×4) = –52
2. (+9) – (+2)
→ 9 – 2 = 7
3. (+72) ÷ (–8)
→ –(72÷8) = –9
4. (+2) – (+15)
→ 2 – 15 = –13
5. (+5) × (+13)
→ 5×13 = 65
6. (+15) – (–1)
→ 15 + 1 = 16
7. (+130) ÷ (+13)
→ 130 ÷ 13 = 10
8. (–72) ÷ (+12)
→ –(72÷12) = –6
9. (–5) + (–10)
→ –(5+10) = –15
10. (–14) – (–9)
→ –14 + 9 = –5
11. (–14) + (+1)
→ –14 + 1 = –13
12. (+11) × (–5)
→ –(11×5) = –55
13. (–6) × (+14)
→ –(6×14) = –84
14. (–84) ÷ (–6)
Negative ÷ negative = positive.
→ 84 ÷ 6 = 14
15. (+13) × (+2)
→ 13×2 = 26
16. (–5) × (+11)
→ –(5×11) = –55
17. (+80) ÷ (+10)
→ 80 ÷ 10 = 8
18. (+14) + (+2)
→ 14 + 2 = 16
19. (–13) ÷ (+13)
→ –(13÷13) = –1
20. (+195) ÷ (+13)
→ 195 ÷ 13 = 15
21. (–5) × (–12)
Negative × negative = positive.
→ 5×12 = 60
22. (+2) + (+8)
→ 2 + 8 = 10
23. (+8) × (–7)
→ –(8×7) = –56
24. (–10) × (+6)
→ –(10×6) = –60
25. (–3) + (+14)
→ –3 + 14 = 11
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## ✔ Final Answer Key:
Left Column:
1. 7
2. –14
3. –19
4. –9
5. –20
6. –39
7. 17
8. –18
9. –14
10. 23
11. –10
12. 4
13. –5
14. –7
15. –117
16. –10
17. –8
18. –135
19. 12
20. 22
21. –28
22. –25
23. –21
24. –18
25. –39
Right Column:
1. –52
2. 7
3. –9
4. –13
5. 65
6. 16
7. 10
8. –6
9. –15
10. –5
11. –13
12. –55
13. –84
14. 14
15. 26
16. –55
17. 8
18. 16
19. –1
20. 15
21. 60
22. 10
23. –56
24. –60
25. 11
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✔ Tips to Remember:
- Addition/Subtraction: Think of number line or “owe” vs “have”.
- Multiplication/Division:
- Same signs → positive
- Different signs → negative
Let me know if you want this in printable format or need explanations for specific problems!
Parent Tip: Review the logic above to help your child master the concept of adding subtracting multiplying and dividing rational numbers worksheet.
