Question

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

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

Answer 1

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


Partial product,
$2\left(8x\right)=2\times 8x$, 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 $=2\left(16y\right)=2\times 16y$, which is equal to $32y$.

Area of the second rectangle $=2\left(8x\right)=2\times 8x$, which is equal to $16x$.

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