Well thats interesting. Yeah understanding the concept and reasoning is most important, but now and then the logic behind a new concept seems difficult to grasp at first. So you just observe the steps to solve the problem, and follow them. After some practice it suddenly dawns on you, what it is your doing and why. I don't know why, but it happens all the time. To me at least. And it seems it happens to other people too.

Hippogriffs, here is a problem that may help you.

To get from 100 to 95, you multiply by 0.95 or 95% or 95/100

But to get back to 100 from 95, you multiply by 100/95 or a scary decimal.
Try to figure out what is the scary decimal???

When you get the answer, don't forget to look at it and write it down.
Think about the 0.95 that got you from 100 to 95
and then think about the new number that gets you back.
Do you see anything interesting???

One is less than 1, and one is bigger than one.
Which one is further from one, the big one, or the small one??

And from this we might be able to guess that the big reciprocal gets
bigger faster than the smaller reciprocal gets smaller.

Reciprocals are fun!!  One is bigger than one, and one is smaller than one.

Bye!

Last edited by John E. Franklin (2005-12-21 11:37:50)