Let's solve the problems step by step.
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Part 1: Adding Integers (Tables)
We need to fill in the tables by performing the operations given (+ or -) on the numbers in each column.
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####
Problem 1:
```
+ 2 5 9 8 9
+ 3 4 5 6
```
Add each pair:
- 2 + 3 =
5
- 5 + 4 =
9
- 9 + 5 =
14
- 8 + 6 =
14
- 9 + 6 =
15
✔ Answers:
5, 9, 14, 14, 15
---
####
Problem 2:
```
8 6 9 4 5
− 2 5 6 4 3
```
Subtract each pair:
- 8 - 2 =
6
- 6 - 5 =
1
- 9 - 6 =
3
- 4 - 4 =
0
- 5 - 3 =
2
✔ Answers:
6, 1, 3, 0, 2
---
####
Problem 3:
```
9 9 9 9 9
− 3 3 3 3 3
```
Subtract each pair:
- 9 - 3 =
6 (all same)
- So all answers are
6
✔ Answers:
6, 6, 6, 6, 6
---
####
Problem 4:
```
4 5 4 5 0
+ 2 6 4 7 8
```
Add each pair:
- 4 + 2 =
6
- 5 + 6 =
11
- 4 + 4 =
8
- 5 + 7 =
12
- 0 + 8 =
8
✔ Answers:
6, 11, 8, 12, 8
---
✔ Summary of Table Answers:
| Problem | Answers |
|--------|--------|
| 1 | 5, 9, 14, 14, 15 |
| 2 | 6, 1, 3, 0, 2 |
| 3 | 6, 6, 6, 6, 6 |
| 4 | 6, 11, 8, 12, 8 |
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Part 2: Word Problems on Integers
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####
Problem 1: Elevator
> An elevator is on the twenty-first floor. It goes down 9 floors and then up 6 floors. What floor is the elevator on now?
Step-by-step:
- Start: 21st floor
- Goes down 9 floors: 21 - 9 =
12
- Then goes up 6 floors: 12 + 6 =
18
✔ Answer: 18th floor
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####
Problem 2: Temperature Drop
> If it is 9° outside and the temperature will drop 12° in the next six hours, how cold will it get?
Step-by-step:
- Current temp: 9°C
- Drops by 12°C → 9 - 12 =
-3°C
✔ Answer: -3°C
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####
Problem 3: Change in Temperature
> The temperature was –2°C last night. It is now –6°C. What was the change in temperature?
Step-by-step:
- Final temp: -6°C
- Initial temp: -2°C
- Change = Final - Initial = (-6) - (-2) = -6 + 2 =
-4°C
So the temperature
decreased by 4°C.
✔ Answer: -4°C (or a decrease of 4°C)
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✔ Final Answers for Word Problems:
1.
18th floor
2.
-3°C
3.
-4°C (change)
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Let me know if you'd like this formatted as a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of adding negative integers worksheet.