The following question has 2 parts. First, answer part A. Then, answer part B.
Use the image below to answer the questions.
A grid with 10 equal columns is shown with 5 shaded in. A second grid is shown, identical in size, containing 100 squares with 3 shaded in. Emma incorrectly gave the sum as 8100
. Explain what Emma did incorrectly and use the model to correct her work. Solve the problem in your answer.
Part A:
Emma incorrectly added the total number of shaded squares in each grid instead of multiplying the number of shaded squares in each grid. To correct her mistake, we need to multiply the number of shaded squares in each grid.
Part B:
Grid 1: 10 columns x 10 rows = 100 squares with 5 shaded in
Grid 2: 10 columns x 10 rows = 100 squares with 3 shaded in
To find the total number of shaded squares when both grids are combined, we need to add the number of shaded squares in each grid:
5 (shaded squares in Grid 1) + 3 (shaded squares in Grid 2) = 8 shaded squares in total.
Therefore, the correct sum of shaded squares is 8, not 8100.