To show \( \frac{1}{2} \div 4 \) using an area model, we can visualize the problem as follows:
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Setting up the area model: Start with a rectangle that represents the whole unit of 1.
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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.
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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 ____.
- \( \frac{1}{2} \div 4 = \frac{1}{8} \)
- It takes 8 pieces to make up the whole.
- The size of each piece is \( \frac{1}{8} \).
Thus:
- \( \frac{1}{2} \div 4 = \frac{1}{8} \)
- It takes 8 pieces to make up the whole.
- The size of each piece is \( \frac{1}{8} \).