Question

The volleyball team bought 12 new volleyballs. The price for each volleyball was $26. How much did the team spend? Select the choice that shows all of the partial products of 12 × 26.

A.
12, 70, 4, 400

B.
12, 90, 14, 200

C.
12, 62, 4, 260

D.
12, 60, 40, 200

Answer 1

Answer: Choice D) 12, 60, 40, 200

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Step-by-step explanation:

Imagine a rectangle that is 12 by 26. Multiplying the length and width will get us the area.

We can break the 12 into 10+2

Also, break the 26 into 20+6

Check out the diagram below. We have 4 smaller rectangles. Finding the product of those sub-areas will then get us the partial products needed.

In the bottom right corner we have a 2 by 6 rectangle, so it has area 2*6 = 12 square units. This is one of the four partial products. The other partial products are found the same way.

Once you determine the four partial products, we then add them up

12+60+40+200 = 12+100+200 = 12+300 = 312

Therefore, 12*26 = 312 which we can use a calculator to confirm.