I found the example confusing, but actually applaud the carrying the digit. In Everyday math, they use a slanted grid to teach and not "carry" but they cannot continue this method into middle school -- so, why are they doing that?
I already taught DD6 to carry and she can do any number of digit numbers of addition and subtraction using the same, old, tried method of carry. Though with the handwriting of a 6 year old, the columns get messy when she writes them herselves and does 6 or 7 digit numbers.
Ren