



Sometimes
we have even bigger numbers to multiply together. 


It
still works mostly the same way: 





Example: 











We
start out the same way as before. 





First
Multiply 4 x 6.
4 + 4 + 4 + 4 + 4 + 4 = 24.
Write down the 4.
Put the 2 at the top of the next column. 







Now
Multiply 4 x 3 and add the 2.
4 + 4 + 4 = 12.
12 + 2 = 14.
Write down the 4.
If there were more columns
we would write the 1 on the top and go on.
Since there are no more columns,
we write down the 1 too and we're done 







So
now we're done with the 4. 


We
still have the 1 in the tens column to deal with. 


We
will multiply it times each of the numbers on top next 


but
with one change. 


The
1 we will multiply by is in the tens column. 


So
we start writing
the answer numbers in the tens column too. 


So
that the numbers stay lined up right, 


we
put a zero for a place holder in the first column. 


(Hey,
being a place holder is what zeros do best) 





Put a 0
at the bottom of the first column
as a place holder. 







Now
Multiply 1 x 6.
1 + 1 + 1 + 1 + 1 + 1 = 6
Write down the 6. 







Now
Multiply 1 x 3.
1 + 1 + 1 = 3
Write down the 3.
Now we're out of numbers so
We're done with this part,
but there's still one more step to go.
We need to add together the two numbers
that are below the line. 







Add the
two numbers.
4 + 0 = 4. Write
down the 4.
4 + 6 = 10. Write
down the 0 and put the 1 on top of the next column.
1 + 1 + 3 = 5.
Write down the 5
and we're done.








Let's
try another one ... 





Example: 











We
start out the same way as before. 





First
Multiply 7 x 6.
7 + 7 + 7 + 7 + 7 + 7 = 42.
Write down the 2 and put the 4
at the top of the next column. 







Now
Multiply 7 x 5 and add the 4.
7 + 7 + 7 + 7 + 7 = 35.
35 + 4 = 39.
Write down the 9.
If there were more columns
we would write the 3 on the top and go on.
Since there are no more columns,
we write down the 3 too. 







So
now we're done with the 7. 


We
still have the 3 in the tens column to deal with. 


We
multiply it times each number on top. 


Since
the 3 is one column over in the tens column, 


we
put a zero on the bottom in the ones column as a place holder. 





Put a 0
at the bottom of the first column
as a place holder. 







Now
Multiply 3 x 6.
3 + 3 + 3 + 3 + 3 + 3 = 18.
Write down the 8 and put the 1 at the top of the next
column. 







Now
multiply 3 x 5 and add the 1.
3 + 3 + 3 + 3 + 3 = 15.
15 + 1 = 16.
Write down the 6.
Since there are no more number columns, we can write down
the 1 too.








Add the
two numbers.
2 + 0 = 2. Write
down the 2.
9 + 8 = 17. Write
down the 7 and put the 1 on top of the next column.
1 + 3 + 6 = 10.
Write down the 0 and put the 1 at the top of the next
column.
1 + 1 = 2. Write
down the 2.
We're out of numbers so we're done.








copyright 2005 Bruce Kirkpatrick 
