Question

Use the area model to multiply

–
0.2(10+2.5v).
First, find the partial products. Write numbers as integers, decimals, or simplified proper or improper fractions.
10 2.5v
–
0.2
Row, rectangle. Width. Height. Find the total area.. Areacolumn, missing side length.123
Now, write the product.
–
0.2(10+2.5v)=

Answer 1

Using the area model, the product of –0.2 and (10+2.5v) is calculated by finding the partial products -2 and -0.5v, then adding them to get –2 - 0.5v.

Step-by-step explanation:

To use the area model to multiply –0.2(10+2.5v)”, we break it down into two partial products. We are multiplying -0.2 by each term inside the parentheses separately. The area model represents multiplication visually as the area of a rectangle.

First partial product:

–0.2 × 10 = -2

Second partial product:

–0.2 × 2.5v = -0.5v

Now, add both partial products to get the total product:

–0.2(10+2.5v) = –0.2 × 10 + –0.2 × 2.5v = -2 - 0.5v

Therefore, the product of –0.2 and (10+2.5v) is –2 - 0.5v.