To represent the product of 0.3 (30%) and 0.4 (40%) in a hundredths grid, you can follow these steps:
1. Understand the grid: A hundredths grid consists of 100 equally sized squares arranged in a 10x10 square. Each square represents one hundredth (1/100 or 0.01) of the whole.
2. Multiply the decimals: To find out how many squares will be shaded, multiply the two decimal numbers. So calculate 0.3 times 0.4 to get the product.
[tex]\( 0.3 \times 0.4 = 0.12 \)[/tex]
3. Convert the product to hundredths: Since each square on the grid is one-hundredth of the whole grid, you'll now convert the product to hundredths.
Since 0.12 is the same as 12/100, you'd fill in 12 out of the 100 squares.
4. Shade the grid: Now shade 12 squares on the hundredths grid to represent the product of 0.3 and 0.4. You can shade them in a way that visually represents the original multiplication – for example, shade a 3x4 rectangle within the grid.
- Start at the top left of the grid and shade across three columns (since 0.3 represents 30% or 3 columns out of 10).
- Then, shade down four rows from the columns you've shaded (since 0.4 represents 40% or 4 rows out of 10).
By following these steps, you'll have a visual representation of the product 0.3 times 0.4 on a hundredths grid, with 12 squares shaded in to represent 0.12.
