Question

using an area model
use the area model to show 1/2 divide 4
1/2 divide 4 = 1/___
it takes __ pieces to make up the whole.
so the size of each pieces is ___

Answer 1

To visualize the division of \( \frac{1}{2} \div 4 \) using an area model, we can follow these steps:

1. **Understanding the Problem**: We are trying to divide \( \frac{1}{2} \) (which can be seen as a half) into 4 equal parts.

2. **Creating the Whole**: If we consider \( \frac{1}{2} \) as a rectangle where the area is \( \frac{1}{2} \), then we need to visualize dividing this rectangle into 4 equal pieces.

3. **Dividing the Area**: To divide \( \frac{1}{2} \) into 4 equal sections, we take the area and divide it into 4 equal rectangles.

- If the total area (the half) is represented as \( \frac{1}{2} \), when we divide this area into 4, we want to find the size of each piece.

4. **Calculating the Size of Each Piece**:
- Each piece will be equal to \( \frac{1}{2} \div 4 \).
- This can be calculated as:
\[
\frac{1}{2} \div 4 = \frac{1}{2} \cdot \frac{1}{4} = \frac{1 \cdot 1}{2 \cdot 4} = \frac{1}{8}
\]

So, we can summarize:

- \( \frac{1}{2} \div 4 = \frac{1}{8} \)
- It takes **4 pieces** to make up the whole \( \frac{1}{2} \).
- So the size of each piece is \( \frac{1}{8} \).

### Summary:
1. \( \frac{1}{2} \div 4 = \frac{1}{8} \)
2. It takes **4** pieces to make up the whole.
3. So the size of each piece is \( \frac{1}{8} \).