Jul 26, 2010 07:55
For 100 > x > 89 and 100 > y > 89 and x >= y:
xy = (100 - x)(100-y) + 100(x - (100 - y))
Or, to put it in English, if you're multiplying two numbers in the 90s:
96 * 95 = ?
Start by subtract both numbers from 100 to get two differences.
100 - 96 = 4
100 - 95 = 5
Then subtract the larger difference from the larger number.
96 - 5 = 91
Then multiply the two differences together.
4 * 5 = 20
Then put them together and you have your answer:
96 * 95 = 9120
minutiae is fascinating