The
following lesson comes from the wonderful minds of Marilyn Burns
and Marthal Hairston in their book, THE
I HATE MATHEMATICS BOOK. This book gets our highest
recommendation. It can change your entire outlook on the subject
of math.
Read
it, then we dare you to TRY IT OUT
using your calculator. (Click HERE
if you
need to learn how to get a calculator on your computer.)
How much do you have
on the 8th day?
What about the 10th day?
At the end of two weeks
you will have
.
By the 20th day you are
making
.
On the 30th day of the
month you make
.
There is a definite mathematical
pattern here. Do you see it in the cartoon?
Think for a while and
then click HERE to see if you guessed right.
The chart is growing
by powers of two! Let me show you:
DAY1 ................2
cents....................=2 to the first power or 2^1
DAY2.................4
cents....................=2 to the second power or 2^2
DAY3.................8
cents....................=2 to the third power or 2^3
etc.
So
you see the exponent corresponds to the day of the month!
To
find what you will earn on the 15th day of the month, just type
2^15 = into your calculator.
You
will get 32768. Now remember,
this is PENNIES. To write this in dollar
notation, we need to divide by 100, or simply move the decimal from
the end of the number over to the left 2 spots.
This gives us $327.68
Exponents
represent a VERY POWERFUL form of multiplication.