4)) Which diagram represents the equation $$ 10+f=17 $$ ?

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UpStudy AI · Accepted Answer

To represent the equation $$ 10 + f = 17 $$ with a diagram, you can use a **bar model** (also known as a **part-whole diagram**). Here's how you can visualize it:

### Bar Model Representation

1. **Whole Bar:** Start with a single long bar that represents the total value, which is **17** in this case.

2. **Part Bars:** Divide this bar into two parts:
   - **First Part:** A smaller section labeled **10**.
   - **Second Part:** Another smaller section labeled **$$ f $$** (the unknown).

3. **Visual Layout:**

```
|-----------|--------|
    10         f     
```

- **Full Length:** Represents **17**.
- **Left Section:** Represents **10**.
- **Right Section:** Represents **$$ f $$**.

### Explanation

- **Whole (17):** The entire length of the bar shows the total value of 17.
- **Parts (10 and $$ f $$):** The bar is split into two parts where one part is known (10) and the other part is unknown ($$ f $$).
- **Equation Relationship:** This visual division directly corresponds to the equation $$ 10 + f = 17 $$, showing that the sum of the two parts equals the whole.

### Solving for $$ f $$

Using the diagram:

$$
10 + f = 17
$$

Subtract 10 from both sides to solve for $$ f $$:

$$
f = 17 - 10
$$
$$
f = 7
$$

### Final Diagram with Values

```
|-----------|--------|
    10          7     
```

This final diagram shows that $$ f = 7 $$, completing the equation $$ 10 + 7 = 17 $$.

### Alternative Diagram Types

If you're using other types of diagrams, such as **number lines** or **objects (like blocks or icons)**, the same principles apply:

- **Number Line:** Mark points at 10 and 17, showing the distance between them as $$ f = 7 $$.
  
- **Objects:** Use 10 objects in one group, 7 in another, totaling 17 objects.

These visual representations help in understanding the relationship between the known and unknown quantities in the equation.
To represent the equation $$ 10 + f = 17 $$, use a bar model divided into two parts: one labeled 10 and the other labeled $$ f $$. The total length of the bar is 17. Solving the equation shows that $$ f = 7 $$.

4)) Which diagram represents the
equation ?

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4)) Which diagram represents the equation ?