Let’s go through each problem one by one. We’re working with integers — positive and negative whole numbers — and doing addition, subtraction, multiplication, and division.
Remember these key rules:
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Adding a negative is like subtracting:
`5 + (-3)` = `5 - 3` = `2`
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Subtracting a negative is like adding:
`5 - (-3)` = `5 + 3` = `8`
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Multiplying or dividing two negatives gives a positive:
`(-4) × (-3)` = `12`
`(-10) ÷ (-2)` = `5`
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Multiplying or dividing a positive and a negative gives a negative:
`6 × (-2)` = `-12`
`8 ÷ (-4)` = `-2`
Now let’s solve each problem carefully.
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Left Column:
1. `-9 ÷ 1 = -9`
→ Dividing by 1 doesn’t change the number.
2. `-8 - (-6) = -8 + 6 = -2`
→ Subtracting negative is adding.
3. `-5 - 8 = -13`
→ Both negative direction.
4. `-6 + (-4) = -10`
→ Adding negatives.
5. `-7 - (-4) = -7 + 4 = -3`
6. `14 ÷ (-2) = -7`
→ Positive ÷ negative = negative.
7. `7 + (-3) = 4`
8. `1 × 6 = 6`
9. `9 - 9 = 0`
10. `8 - (-7) = 8 + 7 = 15`
11. `4 × (-9) = -36`
12. `1 × (-9) = -9`
13. `-4 × 2 = -8`
14. `-7 - (-1) = -7 + 1 = -6`
15. `9 + 3 = 12`
16. `1 - 3 = -2`
17. `54 ÷ (-9) = -6`
18. `-1 + 8 = 7`
19. `4 + (-6) = -2`
20. `-20 ÷ (-5) = 4`
→ Negative ÷ negative = positive.
21. `49 ÷ (-7) = -7`
22. `2 + 8 = 10`
23. `-8 + (-2) = -10`
24. `-2 × 7 = -14`
25. `-8 × 1 = -8`
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Right Column:
1. `1 × (-7) = -7`
2. `-72 ÷ (-9) = 8`
→ Negative ÷ negative = positive.
3. `-4 + 7 = 3`
4. `2 + (-1) = 1`
5. `-48 ÷ (-8) = 6`
6. `1 - 1 = 0`
7. `6 + (-2) = 4`
8. `1 × (-4) = -4`
9. `7 - 8 = -1`
10. `-5 + 9 = 4`
11. `5 + 7 = 12`
12. `-42 ÷ (-6) = 7`
13. `9 × (-4) = -36`
14. `4 × (-3) = -12`
15. `-4 + (-8) = -12`
16. `-3 - (-2) = -3 + 2 = -1`
17. `-9 + 8 = -1`
18. `-6 - 7 = -13`
19. `5 × (-3) = -15`
20. `6 - 6 = 0`
21. `2 ÷ 2 = 1`
22. `-3 + (-3) = -6`
23. `-2 × 2 = -4`
24. `-3 - 1 = -4`
25. `8 × (-8) = -64`
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All calculations checked. Here are the answers in order as they appear on the worksheet.
Final Answer:
-9 ÷ 1 = -9
-8 - (-6) = -2
-5 - 8 = -13
-6 + (-4) = -10
-7 - (-4) = -3
14 ÷ (-2) = -7
7 + (-3) = 4
1 × 6 = 6
9 - 9 = 0
8 - (-7) = 15
4 × (-9) = -36
1 × (-9) = -9
-4 × 2 = -8
-7 - (-1) = -6
9 + 3 = 12
1 - 3 = -2
54 ÷ (-9) = -6
-1 + 8 = 7
4 + (-6) = -2
-20 ÷ (-5) = 4
49 ÷ (-7) = -7
2 + 8 = 10
-8 + (-2) = -10
-2 × 7 = -14
-8 × 1 = -8
1 × (-7) = -7
-72 ÷ (-9) = 8
-4 + 7 = 3
2 + (-1) = 1
-48 ÷ (-8) = 6
1 - 1 = 0
6 + (-2) = 4
1 × (-4) = -4
7 - 8 = -1
-5 + 9 = 4
5 + 7 = 12
-42 ÷ (-6) = 7
9 × (-4) = -36
4 × (-3) = -12
-4 + (-8) = -12
-3 - (-2) = -1
-9 + 8 = -1
-6 - 7 = -13
5 × (-3) = -15
6 - 6 = 0
2 ÷ 2 = 1
-3 + (-3) = -6
-2 × 2 = -4
-3 - 1 = -4
8 × (-8) = -64
Parent Tip: Review the logic above to help your child master the concept of adding subtracting multiplying and dividing negative numbers worksheet.