



Multiplying
is like high power addition. 


When
you multiply, you just add a number to itself a bunch of times. 











Examples: 





5
times 3 
means 
5
+ 5 + 5 = 15 
2
times 4 
means 
2
+ 2 + 2 + 2 = 8 
3
times 2 
means 
3
+ 3 = 6 
4
times 1 
means 
4
(just one 4) 
6
times 0 
means 
0
(no 6's at all!) 






Math
type people LOVE to save space, 


so
instead of writing out the word "times" they use this
symbol: 





X






Hey
wait a minute! 


That
looks a lot like the letter "X" ! 





Well
what do ya want maybe the math types were busy that day. 


Anyway
at least they used something easy to remember. 





(Just
wait till you get to Calculus! then you'll see some really weird
squiggles!) 





So
in math talk we write: 





2
x
4 = 8 

(2
+ 2 + 2 + 2 = 8) 
3
x
3 = 9 

(3
+ 3 + 3 = 9) 
5
x
2 = 10 

(5
+ 5 = 10) 






Something
funny happens with multiplication. 


Watch
this: 





3
x
5 
means 
(3
+ 3 + 3 + 3 + 3= 15) 
5
x 3 
means 
(5
+ 5 + 5 = 15) 



4
x 6 
means 
(4 + 4
+ 4 + 4 + 4 + 4 = 24) 
6
x 4 
means 
(6 + 6
+ 6 + 6 = 24) 



3
x 7 
means 
(3 + 3
+ 3 + 3 + 3 + 3 + 3 = 21) 
7
x 3 
means 
(7 + 7
+ 7 = 21) 






HOW SPOOKY!






This
happens EVERY TIME. 


That
means when you multiply two numbers together, 


you
can write either one first. 


The
answer will come out the same. 


Sometimes
when we multiply 2 numbers together 


we
write them like this: 





6
x 5 = 30






But
most of the time we write them like this: 











But
either way it means: 





6
+ 6 + 6 + 6 + 6 = 30






I
don't like to work at memorizing stuff. 


I
think that most of the time it's a dumb thing to do. 


If
you wind up using some info a bunch, 


after
a while you just memorize it. 


If
you don't use the info too much, 


you
wasted your time memorizing it in the first place. 





One
thing that IS worth memorizing is something called the times tables. 


You
should TRY to memorize them up to ten times ten. 


A
good way to start learning them is to learn to count by each
digit 


up
to about 10 times that digit. 





For
example, count by 4's up to 40 





4,
8, 12, 16, 20, 24, 28, 32, 36, 40






copyright 2005 Bruce Kirkpatrick 
