“I drew my rectangle. I broke apart 237 into 200 + 30 + 7. I multiplied 4 200 and got 800. I multiplied 4 30 and got 120. Then I multiplied 4 7 and got 28.

“Next I added together 800 + 120 + 28 and got 948.

“I also found it very easy to use the expanded-form for this problem.”

Solve these problems. Show how to use rectangles and the expanded-form method.

  1. 162 8
  2. 456 7
  3. 875 3

All-Partials Method

Another method is called the all-partials method. Mr. Moreno asked his class to look carefully at the word partials.

“That's correct,” said Mr. Moreno. “We are able to break apart the larger number and find easier products. Then we find the total of the partial products for our final answer. Let's take a look at a problem together.”