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 ___
fill in the blank

Answer 1

To show \( \frac{1}{2} \div 4 \) using an area model, we can visualize the problem as follows:

1. **Setting up the area model**: Start with a rectangle that represents the whole unit of 1.

2. **Dividing the unit**: Since we are dividing by 4, we need to divide the rectangle into 4 equal sections. Each section will represent \( \frac{1}{4} \) of the whole.

3. **Calculating pieces in \( \frac{1}{2} \)**: Next, we need to find out how many of these \( \frac{1}{4} \) sections make up \( \frac{1}{2} \). We can mark \( \frac{1}{2} \) within the whole unit.

In this case:

- **Fill in the blanks**:
- \( \frac{1}{2} \div 4 = \frac{1}{___} \)
- It takes ____ pieces to make up the whole.
- The size of each piece is ____.

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

Thus:

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