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Question

Question 1
Use the hundredth grids below to answer the questions. The first two hundredth grids show Sophia's work. The second two hundredth grids show Aiden's work.

This image shows Sophia's work. One whole 10-by-10 grid and 2 columns and 5 squares on a second grid are shaded blue. On the second grid, the remaining 5 squares in the third column, 3 more columns, and 5 more squares are shaded brown.

This image shows Aiden's work. One whole 10-by-10 grid and 2 columns and 5 squares on a second grid are shaded blue. On the second grid, 4 squares in the third column are shaded brown.

(1 point)
Part A

Which student correctly models the problem 1.25 + 0.4. Type your answer in the box.

Answer 1

To solve the problem 1.25 + 0.4, we first need to understand what each number represents in terms of hundredths on the grids provided.

1.25 can be interpreted as 1 whole (which is 100 out of 100 squares), 2 tenths (which is 20 out of 100 squares), and 5 hundredths (which is 5 out of 100 squares), totaling 125 out of 100 squares.

0.4 can be interpreted as 4 tenths, which represents 40 out of 100 squares.

Adding these together:
1.25 (125 hundredths) + 0.4 (40 hundredths) = 1.65 (165 hundredths).

Now, we need to determine from the descriptions of Sophia's and Aiden's grids who correctly represents this sum:

• If Sophia shaded 1 whole grid, 2 columns (20 squares), and 5 extra squares, she would have shaded 125 squares in total for 1.25. Then, if she shaded an additional 40 squares in the second grid to represent 0.4, that equals 165 squares total (1.65).

• Aiden shaded 1 whole grid and 2 columns (125 squares) for 1.25 and only 4 squares in the third column for 0.4, which is not enough to represent 40 squares.

Given this information, Sophia correctly models the problem 1.25 + 0.4.