Use the hundredth grids to answer the question.
Two 10 by 10 grids are shown. In the first grid, all squares are shaded brown, with 2 columns and 9 squares also containing an X. The second grid has 1 column and 7 squares shaded brown, and all shaded squares contain an X.
Which equation is represented by the model?
(1 point)
Responses
0.89−0.38=0.51
0 . 89 - 0 . 38 = 0 . 51
1.17−0.46=0.71
1 . 17 - 0 . 46 = 0 . 71
0.81−0.46=0.35
0 . 81 - 0 . 46 = 0 . 35
1.17−0.29=0.88
1.17−0.29=0.88
To determine which equation is represented by the model, we need to analyze the information given in the two grids.
In the first grid, there are 10 rows and 10 columns. All squares are shaded brown, and 2 columns contain an X.
In the second grid, there is 1 column and 10 rows. Only 7 squares are shaded brown, and all shaded squares contain an X.
Since the first grid has 2 columns with an X and the second grid has 7 shaded squares, we can deduce that the difference between the two grids is 5 squares.
Now let's look at the answer choices:
1. 0.89−0.38=0.51: This equation does not involve the number 5, so it can be eliminated.
2. 1.17−0.46=0.71: This equation also does not involve the number 5, so it can be eliminated.
3. 0.81−0.46=0.35: This equation does not involve the number 5, so it can be eliminated.
4. 1.17−0.29=0.88: This equation involves the number 5 (1.17 - 0.88 = 0.29), so it matches the information given in the grids.
Therefore, the equation represented by the model is: 1.17−0.29=0.88.
To answer this question using the hundredth grids, we need to analyze the shaded squares and the X's in both grids.
In the first grid, there are 2 columns and 9 squares with an X. This means that out of the 100 squares in the grid, 9 are X's.
In the second grid, there is only 1 column and 7 squares shaded brown. All the shaded squares also contain an X. This means that out of the 100 squares in the grid, 7 are X's.
Now, we need to find the equation that represents this situation. Looking at the answer choices, we can see that each equation has two numbers that are being subtracted. We need to find the equation that represents the number of X's in the grids.
The first number in the equation represents the total number of squares in the grid (100) and the second number represents the number of X's.
Let's calculate for each equation:
1. 0.89 − 0.38 = 0.51
Total squares = 100, Number of X's = 38
This equation does not fit because the number of X's is 38, not 9 or 7.
2. 1.17 − 0.46 = 0.71
Total squares = 100, Number of X's = 46
This equation does not fit because the number of X's is 46, not 9 or 7.
3. 0.81 − 0.46 = 0.35
Total squares = 100, Number of X's = 46
This equation does not fit because the number of X's is 46, not 9 or 7.
4. 1.17 − 0.29 = 0.88
Total squares = 100, Number of X's = 29
This equation does not fit because the number of X's is 29, not 9 or 7.
None of the given equations match the number of X's in the grids. Therefore, none of the answer choices are correct.