lets play \collect them all!\\nround 4: choose and collect the correct representation of the model…

Explanation:

Step1: Count total squares in first grid

The first grid is a 10x10 square, so total squares = $10 \times 10 = 100$.

Step2: Count shaded squares in second grid

The second grid has 9 fully shaded rows (9x10=90) plus 9 extra shaded squares, so total shaded = $90 + 9 = 99$.

Step3: Total shaded squares combined

Add the two sets of shaded squares: $100 + 99 = 199$.

Step4: Evaluate each option

• For $190 \times 0.01$: $190 \times 0.01 = 1.90$, which represents 190 hundredths (190 squares).
• For $199 \times 0.01$: Wait, correct calculation: the total shaded is 199, and $199 \times 0.01 = 1.99$, which matches. But the options given: wait, recheck: first grid is 100 shaded (1 full 10x10), second grid: 10 columns, 10 rows, shaded is 9 rows (90) + 9 = 99. Total 199. Now, $199 \times 0.01$ is not listed? Wait no, wait the options: $190 \times 0.01$ is 1.90 (190 squares), $109 \times 0.01$ is 1.09 (109 squares). Wait no, I misread: first grid is 10x10=100, second grid: the shaded is 9 columns? No, no, the second grid: each small square is 0.01. Wait, first grid is 1 whole (100x0.01=1), second grid: 9 tenths and 9 hundredths? No, no, the second grid: the shaded area is 9 rows? No, the second grid is 10 rows, 10 columns, the leftmost column has 9 shaded squares? No, no, looking at the image: first grid is fully shaded (10x10=100 squares). Second grid: the first column (left) has 9 shaded squares? No, no, the second grid's shaded part is a vertical strip: 10 rows, 9 columns? No, no, the lines: each small square is 1 unit of 0.01. Wait, total squares in each grid: 10x10=100, so each square is 0.01. First grid: 100 shaded squares = $100 \times 0.01 = 1$. Second grid: 90 shaded squares? No, no, the second grid's shaded area is 9 rows of 1 column? No, no, the image shows the second grid has a vertical strip that is 10 squares tall? Wait no, the first grid is 8 rows? No, no, count the rows: first grid has 10 rows, 10 columns, fully shaded. Second grid: 10 rows, 10 columns, the leftmost column has 9 shaded squares? No, no, the shaded part is 9 rows of 1 column? No, the image shows the shaded part is a rectangle that is 9 rows high and 1 column wide? No, that would be 9 squares. No, wait the problem says "the model shown" is the two grids together. First grid: 100 shaded squares, second grid: 90 shaded squares? No, no, the second grid's shaded area is 9 columns? No, the lines: each horizontal line is a row, vertical is column. First grid: 10 columns, 10 rows, all filled (100 squares). Second grid: 10 columns, 10 rows, the first 9 rows of the first column? No, no, the shaded part is a vertical strip that is 10 squares tall? No, the top and bottom of the shaded strip are not full. Wait, no, let's calculate the value: first grid is 1 (100 x 0.01), second grid is 0.99 (99 x 0.01). Total is 1.99, which is $199 \times 0.01$. But the options are 190x0.01 and 109x0.01. Wait, I must have misread the grids. Oh! Wait, first grid: is it 9 rows? No, no, the first grid: count the columns: 10 columns, rows: 10 rows, fully shaded (100). Second grid: shaded is 9 columns of 1 row? No, no, the second grid's shaded area is a horizontal strip? No, the image shows the shaded part is a vertical strip on the left, with 9 squares? No, no, the second grid has 10 rows, the shaded part is 9 rows in the first column, so 9 squares? That can't be. Wait no, the problem says "Collect Them All" so the two grids are the total. Wait, 100 + 90 = 190? Oh! Oh right! The second grid's shaded area is 9 full columns (9x10=90 squares). Yes! That's it. I misread the shaded part: it's 9 full vertical columns (each 10 squares), so 90. Then total shaded is 100 + 90 = 190. Then $190 \times 0.01 = 1.90$, which matches.

Step2 (corrected): Count second grid shaded squares

Second grid has 9 full columns: $9 \times 10 = 90$.

Step3 (corrected): Total shaded squares

$100 + 90 = 190$.

Step4 (corrected): Evaluate options

$190 \times 0.01 = 1.90$, which equals the total value of the shaded grids (190 hundredths).

Answer:

$190 \times 0.01$