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Express 100 with five 1's.Express 100 at least three ways with five 5's.(I've found seven ways of doing this so far - I'm sure there are more).

posted by steven | 1:04 PM

1/ 100 = 111 - 112/ 100 = (5 * 5) * (5 - (5/5) ) 100 = 5 * (5+5+5+5) 100 = (5*5*5) - (5*5) 100 = (5+5) * (5 + (sqrt(5)*sqrt(5) ) 100 = (5+5) ^ ((5+5)/5) 100 = 5! - (5+5+5+5) 100 = (55-(sqrt(5)*sqrt(5))/.5 100 = (55/.5) - (5+5) 100 = (55/.5recurring) + (5/5) 100 = (5*sqrt(5)*sqrt(5))/(.5*.5) 100 = (5/5%) + ((5-5)*5) 100 = (5!!*sqrt(5)*sqrt(5)) + (5*5) where 5!! is the double factorial 100 = 55 + 5!! + 5!! + 5!! 100 = (5!!! * 5!!!) + ((5-5)*5) where 5!!! is the triple factorial... and variants thereof.

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## 1 Comments:

1/ 100 = 111 - 11

2/ 100 = (5 * 5) * (5 - (5/5) )

100 = 5 * (5+5+5+5)

100 = (5*5*5) - (5*5)

100 = (5+5) * (5 + (sqrt(5)*sqrt(5) )

100 = (5+5) ^ ((5+5)/5)

100 = 5! - (5+5+5+5)

100 = (55-(sqrt(5)*sqrt(5))/.5

100 = (55/.5) - (5+5)

100 = (55/.5recurring) + (5/5)

100 = (5*sqrt(5)*sqrt(5))/(.5*.5)

100 = (5/5%) + ((5-5)*5)

100 = (5!!*sqrt(5)*sqrt(5)) + (5*5) where 5!! is the double factorial

100 = 55 + 5!! + 5!! + 5!!

100 = (5!!! * 5!!!) + ((5-5)*5) where 5!!! is the triple factorial

... and variants thereof.

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