Let's solve each of these addition problems involving three integers step by step. We'll follow the rules for adding positive and negative integers:
-
Adding two numbers with the same sign: Add their absolute values and keep the common sign.
-
Adding two numbers with different signs: Subtract the smaller absolute value from the larger one, and the result takes the sign of the number with the larger absolute value.
We’ll go through each problem:
---
1. $ 5 + (-3) + (-18) $
- First: $ 5 + (-3) = 2 $
- Then: $ 2 + (-18) = -16 $
✔ Answer: -16
---
2. $ (-11) + 18 + 5 $
- First: $ (-11) + 18 = 7 $
- Then: $ 7 + 5 = 12 $
✔ Answer: 12
---
3. $ (-10) + 9 + (-2) $
- First: $ (-10) + 9 = -1 $
- Then: $ -1 + (-2) = -3 $
✔ Answer: -3
---
4. $ (-1) + 3 + 2 $
- First: $ (-1) + 3 = 2 $
- Then: $ 2 + 2 = 4 $
✔ Answer: 4
---
5. $ (-13) + (-14) + (-5) $
All negative: add absolute values
- $ 13 + 14 + 5 = 32 $
- Result: $ -32 $
✔ Answer: -32
---
6. $ (-8) + (-19) + (-1) $
All negative:
- $ 8 + 19 + 1 = 28 $
- Result: $ -28 $
✔ Answer: -28
---
7. $ 2 + (-11) + (-15) $
- First: $ 2 + (-11) = -9 $
- Then: $ -9 + (-15) = -24 $
✔ Answer: -24
---
8. $ (-11) + (-17) + (-18) $
All negative:
- $ 11 + 17 + 18 = 46 $
- Result: $ -46 $
✔ Answer: -46
---
9. $ (-16) + (-10) + 19 $
- First: $ (-16) + (-10) = -26 $
- Then: $ -26 + 19 = -7 $
✔ Answer: -7
---
10. $ (-4) + (-11) + (-7) $
All negative:
- $ 4 + 11 + 7 = 22 $
- Result: $ -22 $
✔ Answer: -22
---
11. $ (-13) + (-14) + (-15) $
All negative:
- $ 13 + 14 + 15 = 42 $
- Result: $ -42 $
✔ Answer: -42
---
12. $ 9 + 10 + 2 $
All positive:
- $ 9 + 10 + 2 = 21 $
✔ Answer: 21
---
13. $ (-17) + (-15) + (-11) $
All negative:
- $ 17 + 15 + 11 = 43 $
- Result: $ -43 $
✔ Answer: -43
---
14. $ (-5) + 0 + (-3) $
- $ (-5) + 0 = -5 $
- $ -5 + (-3) = -8 $
✔ Answer: -8
---
15. $ 19 + 1 + (-3) $
- $ 19 + 1 = 20 $
- $ 20 + (-3) = 17 $
✔ Answer: 17
---
16. $ (-15) + 5 + (-10) $
- First: $ (-15) + 5 = -10 $
- Then: $ -10 + (-10) = -20 $
✔ Answer: -20
---
17. $ (-10) + (-6) + 1 $
- First: $ (-10) + (-6) = -16 $
- Then: $ -16 + 1 = -15 $
✔ Answer: -15
---
18. $ 9 + (-12) + (-2) $
- First: $ 9 + (-12) = -3 $
- Then: $ -3 + (-2) = -5 $
✔ Answer: -5
---
19. $ (-7) + (-4) + (-17) $
All negative:
- $ 7 + 4 + 17 = 28 $
- Result: $ -28 $
✔ Answer: -28
---
20. $ (-5) + 7 + (-9) $
- First: $ (-5) + 7 = 2 $
- Then: $ 2 + (-9) = -7 $
✔ Answer: -7
---
✔ Final Answers:
1.
-16
2.
12
3.
-3
4.
4
5.
-32
6.
-28
7.
-24
8.
-46
9.
-7
10.
-22
11.
-42
12.
21
13.
-43
14.
-8
15.
17
16.
-20
17.
-15
18.
-5
19.
-28
20.
-7
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of 6th grade integers worksheet.
