Math  /  Geometry

QuestionUse the model to find 99.6.7. First, fill in the area of each rectangle.
Then find the total area

Studdy Solution

STEP 1

1. The problem involves finding the product of 99.6×7 99.6 \times 7 using a grid model.
2. The grid is divided into four rectangles, each representing a part of the multiplication.
3. The dimensions of each rectangle are given, and we need to calculate the area of each rectangle.

STEP 2

1. Calculate the area of each rectangle.
2. Sum the areas of all rectangles to find the total area.

STEP 3

Calculate the area of the top left rectangle:
Area=90×6 \text{Area} = 90 \times 6
Area=540 \text{Area} = 540

STEP 4

Calculate the area of the top right rectangle:
Area=90×0.7 \text{Area} = 90 \times 0.7
Area=63 \text{Area} = 63

STEP 5

Calculate the area of the bottom left rectangle:
Area=9×6 \text{Area} = 9 \times 6
Area=54 \text{Area} = 54

STEP 6

Calculate the area of the bottom right rectangle:
Area=9×0.7 \text{Area} = 9 \times 0.7
Area=6.3 \text{Area} = 6.3

STEP 7

Sum the areas of all rectangles to find the total area:
Total Area=540+63+54+6.3 \text{Total Area} = 540 + 63 + 54 + 6.3
Total Area=663.3 \text{Total Area} = 663.3
The total area, representing the product 99.6×7 99.6 \times 7 , is:
663.3 \boxed{663.3}

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