It looks like you've uploaded an image that contains a worksheet titled
"Adding and Subtracting Rational Numbers" from
SCHOOL21. The worksheet includes explanations, examples, and practice problems related to adding and subtracting rational numbers (including integers and fractions) using the number line and rules for operations.
Since I can't view or access images directly, I’ll explain how to solve such problems based on what’s typically included in this type of worksheet. Let me walk you through the concepts and examples shown in your image.
---
🔷 Concept 1: Adding and Subtracting with the Number Line
Example:
```
-4 -3 -2 -1 0 1 2 3 4
↑
-2 + 5 = 3
```
Explanation:
- Start at `-2` on the number line.
- Move
5 units to the right (since we're adding a positive number).
- You end up at `3`.
✔ So,
-2 + 5 = 3
---
🔷 Rule: Adding a Negative Number
>
Adding a negative number is the same as subtracting a positive number.
Example:
```
36 + (-14) = 36 - 14 = 22
```
✔ So,
36 + (-14) = 22
---
🔷 Rule: Subtracting a Negative Number
>
Subtracting a negative number is the same as adding a positive number.
Example:
```
4 - (-3) = 4 + 3 = 7
```
✔ So,
4 - (-3) = 7
---
🔷 Practice Problems
Let’s go through the problems listed:
#### 1. `17 + (-27)`
- This is the same as: `17 - 27`
- Result:
-10
✔ Answer:
-10
#### 2. `-32 + (-12)`
- This is the same as: `-32 - 12`
- Result:
-44
✔ Answer:
-44
#### 3. `1/3 + (-1/2) + 1/6`
Let’s solve step by step:
- Find a common denominator: LCM of 3, 2, 6 is
6
- Convert each fraction:
- `1/3 = 2/6`
- `-1/2 = -3/6`
- `1/6 = 1/6`
- Add: `2/6 - 3/6 + 1/6 = (2 - 3 + 1)/6 = 0/6 = 0`
✔ Answer:
0
---
🔷 General Rules Summary
| Operation | Rule |
|---------|------|
| `a + (-b)` | Same as `a - b` |
| `a - (-b)` | Same as `a + b` |
| Adding positives | Move right on number line |
| Adding negatives | Move left on number line |
---
✔ Final Answers to the Examples:
1. `-2 + 5 = 3`
2. `36 + (-14) = 22`
3. `4 - (-3) = 7`
4. `17 + (-27) = -10`
5. `-32 + (-12) = -44`
6. `1/3 + (-1/2) + 1/6 = 0`
---
If you have specific questions about any problem, or if there's a particular part of the image you'd like me to explain further (like the number line or fraction steps), feel free to describe it or ask!
Parent Tip: Review the logic above to help your child master the concept of 7 ns 1 worksheet.
