1. Use the area model to represent $$ \frac{220}{100} $$. Complete the number ser a. $$ \frac{220}{100}=\quad $$ tenths $$ =\quad $$ ones

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To represent $$ \frac{220}{100} $$ using the **area model** and complete the number series, follow these steps:

### **1. Understanding the Fraction**

The fraction $$ \frac{220}{100} $$ can be simplified and interpreted in different ways:

- **Simplified Form:**
  $$
  \frac{220}{100} = \frac{22}{10} = 2 \frac{2}{10} = 2.2
  $$
  
- **As Tenths:**
  $$
  \frac{220}{100} = 2.20 = 2 \text{ ones} + 2 \text{ tenths}
  $$

### **2. Area Model Representation**

An **area model** visually represents fractions by dividing a shape (usually a rectangle) into equal parts. Here's how you can represent $$ \frac{220}{100} $$:

1. **Draw a Rectangle:**
   - Divide the rectangle into **10 equal parts** along one side to represent **tenths**.

2. **Shade the Parts:**
   - Since $$ \frac{220}{100} = \frac{22}{10} $$, shade **22 tenths**.
   - This can be visualized as **2 full ones** (each consisting of 10 tenths) and **2 additional tenths**.

3. **Final Representation:**
   - **2 ones**: Represented by shading 20 tenths (2 groups of 10).
   - **2 tenths**: Represented by shading 2 more individual tenths.

**Visual Diagram:**

```
+------------------------+
| 1 | 1 | 1 | ... | 1 |   |  (Each '1' represents 10 tenths)
+------------------------+
| 0.1 | 0.1 |            |  (Representing 2 tenths)
+------------------------+
```

*(Note: The diagram is a simplified representation. Imagine dividing the rectangle into 10 columns for tenths and shading the appropriate sections.)*

### **3. Completing the Number Series**

Based on the area model and the simplified fraction, you can complete the number series as follows:

**a.**
$$
\frac{220}{100} = 22 \text{ tenths} = 2 \text{ ones} + 2 \text{ tenths}
$$

### **Summary**

- **Fraction:** $$ \frac{220}{100} $$
- **Simplified:** $$ 2.2 $$ or $$ 2 \frac{2}{10} $$
- **Area Model:** 2 ones (20 tenths) and 2 tenths
- **Number Series Completion:**
  $$
  \frac{220}{100} = 22 \text{ tenths} = 2 \text{ ones} + 2 \text{ tenths}
  $$

This representation helps in visualizing how the fraction breaks down into whole numbers and parts of tenths, making it easier to understand and work with.
$$ \frac{220}{100} = 22 $$ tenths $$ = 2 $$ ones $$ + 2 $$ tenths

1. Use the area model to represent \( \frac{220}{100} \). Complete the number ser a. \( \frac{220}{100}=\quad \) tenths \( =\quad \) ones

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