Yikes I only just realised that I had lost all of the formatting
for multiplication example :(
Should have looked more like:
12345678
x30978793
the answer can be found a digit at a time:
if you reverse one of the numbers
30978793 -> 39787903
then the last digit of the answer is:
1 2 3 4 5 6 7 8
|
3 9 7 8 7 9 0 3
is the last digit of 8 * 3 = 24
so a 4
then we have a 2 that we need to carry:
shift the numbers along by one to find next digit
carry = 2
1 2 3 4 5 6 7 8
| |
3 9 7 8 7 9 0 3
and the next digit is the last of
2 + 7*3 + 8*9 = 95
5
and then there is a carry 9
shift the numbers along by one
carry = 9
1 2 3 4 5 6 7 8
| | |
3 9 7 8 7 9 0 3
9 + 6*3 + 7*9 + 8*7 = 146
the point being that you just remember a 3-digit number at most
if you right down the answer a digit at a time
so:
9 + 18 = 27
27 + 63 = 90
90 + 56 = 14:6
…