Mrs. Haddad said, “I don't need a recording sheet to tell what the ones, tens, and hundreds are. I use place value. The first place from the right is always the ones place, the second place is always the tens place, and so on.”

She solved the problem without a recording sheet like this:

  1. Explain Mrs. Haddad's method in your own words. How is it like using base-ten pieces?

Another day there were 1237 pieces of candy in the store. The store sold 459 pieces of candy that day. To find how much was left, Joe used Mrs. Haddad's method. Joe called this the compact method for subtraction.

Joe saw that he had to trade 1 skinny for 10 bits before he could subtract 9 bits. Next Joe subtracted 9 bits from 17 bits.


Joe then broke up one flat so that he had 12 skinnies and was able to subtract.