Say we have, in column A, (78)(243) and in column B, (77)(244).

I'm asked to determine which is larger.

Is it a good strategy to pick out the first two numbers in each variable? So, in column A we would take (78)(24) and B would be (77)(24). Thus A is larger because 78>77.

What about A= (90,021)(100,210) and B=(90,210)(100,021)? Using my method, we have (900)(100) in A and (902)(100) in B. Thus, B is larger.

Is it possible to do this? Is there some law?