Game of 4 4's

Craft · Post by **Craft** » Thu Aug 25, 2005 9:55 pm

We played this at school many years ago. The task is to count up positive integer numbers 0, 1, 2, 3, ... by forming each of them by using exactly four 4's and using mathematical operators. Maybe this could be played here too... (but it might get tricky very quickly, because I don't remember if every integer can be formed this way very far).

I'll start with two numbers to show the principle, but please continue by only one at a time.

0 = 4-4+4-4
1 = 4/4+4-4
...

alex77r · Post by **alex77r** » Thu Aug 25, 2005 10:07 pm

2 = 4/4+4/4

jabosa2 · Post by **jabosa2** » Thu Aug 25, 2005 10:24 pm

3 =( 4 x 4 - 4) : 4 This is what you mean???

de*lerger · Post by **de*lerger** » Thu Aug 25, 2005 10:44 pm

4 = (4-4)x4+4

Hugo & Any · Post by **Hugo & Any** » Thu Aug 25, 2005 10:46 pm

5 = 4/4+4 right

de*lerger · Post by **de*lerger** » Thu Aug 25, 2005 10:52 pm

You need to use 4 times the 4

5 = (4x4+4):4 will do

Hugo & Any · Post by **Hugo & Any** » Thu Aug 25, 2005 11:09 pm

6 = 4+4/4+4
i think there is no need of parentesis

Elmo · Post by **Elmo** » Thu Aug 25, 2005 11:24 pm

Hugo & Any wrote: 6 = 4+4/4+4
i think there is no need of parentesis

Probably you mean: (4+4)/4+4 = 6
44/4-4 = 7

Fons · Post by **Fons** » Thu Aug 25, 2005 11:27 pm

4+4+4-4 = 8

vermeer · Post by **vermeer** » Thu Aug 25, 2005 11:40 pm

4+4+(4/4)=9

Elmo · Post by **Elmo** » Fri Aug 26, 2005 12:00 am

(44-4)/4 = 10

noogie · Post by **noogie** » Fri Aug 26, 2005 11:01 am

44/4 is the only way to get to 11, but where do you leave the fourth 4....

golfinha · Post by **golfinha** » Fri Aug 26, 2005 1:03 pm

12=(44+4)/4

lazza · Post by **lazza** » Fri Aug 26, 2005 1:29 pm

13 = 4 + 4 + 4 + (4/4)

...Using noogie's spare 4

lazza · Post by **lazza** » Fri Aug 26, 2005 1:38 pm

Um... or maybe ((SQRT 44) x 4 ) / SQRT 4 .... nearly