To find the product \(0.3 \times 0.8\) using a visual method like shading squares, you can use the following approach:
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Understanding the context: The result of \(0.3 \times 0.8\) is equivalent to finding the area of a rectangle with dimensions \(0.3\) and \(0.8\) when represented on a grid.
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Creating the grid:
- You can use a 10x10 grid to represent 1. Each square in the grid represents \(0.01\) (1/100).
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Shading:
- To represent \(0.3\), you can shade 3 rows out of the 10 rows in the grid.
- To represent \(0.8\), you can shade 8 columns out of the 10 columns in the grid.
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Calculating the product:
- The shaded area that overlaps will represent the product \(0.3 \times 0.8\).
- In a 10x10 grid, the area of overlap (the shaded squares that are both in the 3 shaded rows and the 8 shaded columns) will be \(3 \times 8 = 24\) squares.
- Since each square represents \(0.01\), the total area (or the product) will be \(24 \times 0.01 = 0.24\).
So the correct approach is: Shade three rows and eight columns; the product is represented by the area where the shading overlaps.