How would you find the hundred graded to find the product 0.3×0.8


Shade, three squares in the first row and eight squares in the second row the product is represented by the total number of squares that are shaded

Shade, three squares and eight columns. The product is represented by the number of squares that are shaded.
Shade three rows an eight columns. The product is represented by the total number of squares that are not shaded
She three rolls and eight columns the product is represented by the area where the shading overlaps

1 answer

To find the product \(0.3 \times 0.8\) using a visual method like shading squares, you can use the following approach:

  1. 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.

  2. Creating the grid:

    • You can use a 10x10 grid to represent 1. Each square in the grid represents \(0.01\) (1/100).
  3. 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.
  4. 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.