# A 9's Fan's Clock

I do not claim a copyright on the picture below. One day it arrived unsolicited in my email inbox and stayed there for a long while until rediscovered on the occasion of my being overwhelmed with an email clearing zeal. The idea is not mine, by any means - of which I am envious. On the other hand, I thought it would be unfortunate, for a chef d'oeuvre like that to end up in a trash can of my computer. Hence, the picture:

The 1 - 12 are calculated each with three 9s (in a not unique way) as

1. (9/9)9
2. (9 + 9) / 9
3. 9 + 9 - 9
4. 9 + 9 / 9
5. 9! - 9 / 9
6. 9 - 9 / 9
7. 9 - 9 + .9
8. 9 - 9 / 9
9. 9(99)
10. 9 + 9 / 9
11. 99 / 9
12. 9 + 9 / 9

• Funny Arithmetic
• A single formula to express all numbers
• Any Integer with Three 2s
• Representation of numbers with a single 4. The rules and the possibilities
• One 4, a story
• Three 3's
• Representation of numbers with three 4's
• Representation of numbers with three 5's
• Representation of numbers with four 3's
• Representation of numbers with four 4's
• Representation of numbers with four 5's
• A problem of representing 4 by four identical digits
• A problem of representing 6 by three identical digits
• Make an Identity
• Fun with numbers: place plus/minus signs between the digits
• 24 with One Digit
• Representation of 3 with Three Equal Digits