Use the model below and partial products to find .

The top left hundredths grid is whole, and the grid to the right of it has 30 squares. The grid below the whole grid has 60 squares. The grid to in the bottom right has 18 squares. The whole hundredths grid is labeled 1 on the top side and the left side. The grid with 30 squares is labeled 0.3 on the top side. The grid with 60 squares is labeled 0.6 along the left side.

1 answer

Based on your description, it seems you are working with a visual representation of decimal fractions using a grid model. Here's how each grid is organized based on your description:

  1. Whole hundredths grid (1.0): This serves as the base unit, represented as 100 squares (10 rows of 10 squares each).

  2. Grid with 30 squares (0.3): This is a smaller grid, which represents \(0.3\) in decimal form. It could be organized as a grid comprising 3 rows of 10 squares each (3 tenths).

  3. Grid with 60 squares (0.6): This grid represents \(0.6\) in decimal form, which could be visualized as 6 rows of 10 squares each (6 tenths).

  4. Grid with 18 squares: This grid signifies \(0.18\) because it appears to represent 18 parts of the hundredths grid (18 out of 100).

Now, to find a certain value using these grids, you could be asked to sum these values or perform some similar operation. The key fractional values represented by each grid are:

  • Whole hundredths grid: \(1.00\)
  • 30-square grid: \(0.3\)
  • 60-square grid: \(0.6\)
  • 18-square grid: \(0.18\)

If the task was to add these values, you would perform the following operation:

  1. Identifying the values:

    • Whole grid: \(1.0\)
    • Grid with 30 squares: \(0.3\)
    • Grid with 60 squares: \(0.6\)
    • Grid with 18 squares: \(0.18\)
  2. Sum the values: \[ 1.0 + 0.3 + 0.6 + 0.18 = 1.0 + 0.3 = 1.3 \] \[ 1.3 + 0.6 = 1.9 \] \[ 1.9 + 0.18 = 2.08 \]

Thus, if the operation was to sum these values, the final answer would be 2.08. If you had a different operation in mind (like subtraction), please specify!