Kelly drew a 10x10 grid. Richard drew a 16x16 grid. They each shaded 1/4 of their grids. Who shaded more squares? Why did they each shade a different number of squares?
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10+10 10 times like...
10+10+10+10+10 +10+10+10+10+10=
Richard because a 16 x 16 grid has more squares than a 10 x 10 grid.
1/4 of a larger number gives us a larger number.
They each shade a different number because 1/4 of 10x10 is a different number than 1/4 of 16 x 16.
To determine who shaded more squares, we need to calculate how many squares each person shaded in their respective grids.
Kelly's 10x10 grid has a total of 10 x 10 = 100 squares. Since she shaded 1/4 of her grid, we need to find out how many squares that represents. To do this, we multiply the total number of squares by 1/4:
100 x 1/4 = 25
Therefore, Kelly shaded 25 squares in her grid.
Richard's 16x16 grid, on the other hand, has a total of 16 x 16 = 256 squares. Applying the same calculation, Richard shaded 256 x 1/4 = 64 squares.
In conclusion, Richard shaded more squares than Kelly.
The reason they each shaded a different number of squares is because they started with different sized grids. Kelly's grid was smaller (10x10) compared to Richard's (16x16). Even though they shaded the same fraction (1/4) of their grids, the total number of squares in each grid was different.