Use the hundredths grid to answer the question. Describe the decimal multiplication equation and product shown by the model. Include details of where each part of the equation is found on the model. (2 points) the grid has 81 green squares going up and on top of the green squares is a sideways line of 9 gray squares and next to the gray squares is a orange square the rest is blank White
The decimal multiplication equation shown by the model is 0.81 x 0.09.
The green squares represent hundredths, and there are 81 of them, which is equivalent to 0.81.
The gray squares represent tenths, and there are 9 of them, which is equivalent to 0.09.
The orange square represents the product of the equation, which is the result when multiplying 0.81 and 0.09 together.
Therefore, the product shown by the model is 0.0729.
To describe the decimal multiplication equation and product shown by the model using the hundredths grid, we will focus on the given details:
1. The grid has 81 green squares going up: This represents a value of 0.81 since each green square represents 0.01 (hundredths place value), and there are 81 squares.
2. On top of the green squares is a sideways line of 9 gray squares: This represents a value of 0.09 since each gray square represents 0.01 (hundredths place value), and there are 9 squares.
3. Next to the gray squares is an orange square: This represents a value of 0.1 since each orange square represents 0.1 (tenths place value).
Combining these values, we can write the decimal multiplication equation:
0.81 (green squares) × 0.9 (gray squares) × 0.1 (orange square) = ?
To find the product, multiply the decimal values as follows:
0.81 × 0.9 × 0.1 = 0.0729.
Therefore, the decimal multiplication equation shown by the model is 0.81 × 0.9 × 0.1 = 0.0729, and the product is 0.0729.
Based on the given description, the model represents a decimal multiplication equation:
Green squares = tenths
Gray squares = hundredths
Orange square = ones
Based on the description of the grid:
- There are 81 green squares vertically, representing 8.1 as a decimal. (8 tenths + 1 tenth = 8.1)
- On top of the green squares, there is a sideways line of 9 gray squares, representing 0.09 as a decimal. (9 hundredths)
- Next to the gray squares, there is an orange square, representing 1 as a decimal. (1 one)
Putting these parts together, the model represents the decimal multiplication equation:
8.1 x 0.09 = 0.729
The green squares (81) represent 8.1 tenths, the gray squares (9) represent 0.09 hundredths, and the orange square represents 1 (the ones place).