https://file.aiquickdraw.com/mathbot/file/1726233161628cwqtlnhd.jpg

The problem asks to scale up a 9 mm square processor onto a grid where 1 unit represents \(\frac{1}{2}\) mm. Let's break this down:

1. **Processor Dimensions**: The processor is 9 mm on each side.
2. **Scale Conversion**: Since 1 unit on the grid represents \(\frac{1}{2}\) mm, each side of the processor, which is 9 mm, would be represented by:

\[
\frac{9 \text{ mm}}{\frac{1}{2} \text{ mm/unit}} = 9 \times 2 = 18 \text{ units}
\]

Thus, the square processor should be drawn with each side measuring 18 units on the grid.

In the image provided, it looks like each side is currently 8 units long, which is incorrect. Each side needs to be 18 units long to properly represent the 9 mm processor with the given scale.

Would you like a further explanation of the scaling process or assistance with another related question?

Here are 5 questions you might want to consider:
1. How would you convert the dimensions if the scale were \( \frac{1}{4} \) mm per unit instead?
2. How do you calculate the area of the processor in both mm² and grid units?
3. If the processor size increased to 12 mm, what would its new dimensions be on this grid?
4. What if only the height of the processor doubled while keeping the width the same? How would the grid dimensions change?
5. How could you scale other non-square objects, like a rectangular chip, on this grid?

**Tip**: Always double-check the scale conversion to ensure accuracy when representing measurements in different units or on a grid.

Sue is a software engineer. She wants to create a large-scale drawing of a processor inside a cell phone. The processor is a square chip 9 mm on each side. Draw the processor such that 1 unit on the grid represents 1/2 mm.

Learn how to scale a 9 mm square processor chip onto a grid where 1 unit represents 1/2 mm. This problem covers key mathematical concepts in scaling, measurement, and geometry. Suitable for students in Grades 6-8.

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