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Question

Find the partial product of 2(8x) in the given area model, and then find the complete product of 2(16y+8x).



A
Partial product =32x, Complete product =32y+16x
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B
Partial product =8x, Complete product =32y+8x
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C
Partial product =16x, Complete product =32y+16x
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D
Partial product =4x, Complete product =32y+4x
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Solution

The correct option is C Partial product =16x, Complete product =32y+16x

Partial product,
2(8x)=2×8x, which is equal to 16x.


The complete product of 2(16y+8x) can be calculated by finding the partial products which will give areas of two rectangles.
Area of the first rectangle =2(16y)=2×16y, which is equal to 32y.

Area of the second rectangle =2(8x)=2×8x, which is equal to 16x.

So, the complete product =32y+16x.
Option B is the correct choice.

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