Compact Method

Keenya said she could use the compact method to solve the airport lights problem.

She explained how she solved 4 324 this way.

“I began by multiplying 4 4 = 16. I know that 16 is 1 ten and 6 ones.”

The 1 Keenya wrote above the problem as a reminder is sometimes called a carry. Keenya then multiplied 4 2 tens = 8 tens, and she then added the extra ten to get 9 tens or 90.

Then Keenya multiplied 4 3 hundreds = 12 hundreds or 1200.

She said, “I know that 1200 is 1 thousand and 2 hundreds.”

  1. How is Keenya's compact method similar to Roberto's all-partials method? What is the same and what is different?
  2. How is Keenya's compact method similar to John's method using expanded form? What is the same and what is different?