195
- = x 0 1 2 3 4 5 6 7 8 9 ( ) % < > + - = x 0 1 2 3 4 5 6 7 8 9 ( )
% < > + - = x 0 1 2 3 4 5 6 7 8 9 ( ) % < > + - = x 0 1 2 3 4 5 6 7 8 9
( ) % < > + - = x 0 1 2 3 4 5 6 7 8 9 ( ) % < > + - = x 0 1 2 3 4 5 6 7 8
9 ( ) % < > + - = x 0 1 2 3 4 5 6 7 8 9 ( ) % < > + - = x 0 1 2 3 4 5 6 7
8 9 ( ) % < > + - = x 0 1 2 3 4 5 6 7 8 9 ( ) % < > + - = x 0 1 2 3 4 5 6
7 8 9 ( ) % < > + - = x 0 1 2 3 4 5 6 7 8 9 ( ) % < > + - = x 0 1 2 3 4 5
6 7 8 9 ( ) % < > + - = x 0 1 2 3 4 5 6 7 8 9 ( ) % < > + - = x 0 1 2 3
CChapter 20hapter 20
PPUTTING IT ALL UTTING IT ALL
IINTO PRACTICENTO PRACTICE
HOW DO I REMEMBER ALL OF THIS?
Often when people read books on high-speed math and mathematical
shortcuts, they ask, how do I remember all of that? Th ey are
overwhelmed by the amount of information and they simply say, I
will never remember all of that stuff. I might as well forget about it.
Is there a possibility of this happening with the information in this
book? Th ere is always a possibility, but it is not likely. Why? Because
books of mathematical shortcuts that are easily forgotten are just
that—a series of unconnected shortcuts that have to be memorized
for special occasions. And when the special occasion occurs we either
forget to use the shortcut or we can’t remember how to use it.
Th is book is diff erent because it teaches a philosophy for working
with mathematics. It teaches broad strategies that become part of
the way we think. Putting the methods you have learned in this
book into practice will aff ect the way you think and calculate in
almost every instance.
- = x 0 1 2 3 4 5 6 7 8 9 ( ) % < > + - = x 0 1 2 3 4 5 6 7 8 9 ( )