To help keep our mathematical-logical side sharp this Summer, here's a collective project. The task is to use four 4s and accepted mathematical symbols/operations to create expressions that are evaluated to result in the values from 1 to 100.
For example, 44/44=1
4/4 + 4/4 = 2
And so forth.
Who can get us to 3? 4? 5? All the way to 100?
One more to prime the pump
ReplyDelete4 - sqrt(4) + 4/4 = 3
(4+4)/4 + sqrt(4) = 4
ReplyDeleteMeant to do 5
ReplyDelete(4X4+4)/4 = 5
and 6
4! / (4+4-4) = 6
44/4 - 4 = 7
ReplyDelete4+4+4-4=8
ReplyDelete4+4+(4/4)=9
(4X4) - (4 + sqrt(4)) = 10
ReplyDelete(4/.4) + (4 - sqrt(4))=12
ReplyDelete44/4 + sqrt(4) = 13
ReplyDelete4/.4 + sqrt(4) + sqrt(4) = 14
4/.4 + 4/4 + 4 =15
ReplyDelete4X4 + 4-4 = 16
4X4 = 4/4 = 17
ReplyDelete4/.4 + 4 + 4 = 18
4! - (4 + 4/4)= 19
ReplyDelete(4/.4) X (4 - sqrt(4)) = 20
4! -(sqrt(4) - 4/4 = 21
ReplyDelete4! - (sqrt(4) + (4-4) = 22
(4X4Xsqrt(4))-sqrt(4)=30
ReplyDelete44(base seven)-(4/4)=31
4!+((4X4)/sqrt(4))=32
44(base seven)+( 4/4)=33
44(base seven) +(4/sqrt(4))=34
44(base eight)- (4/4)=35
((4/.4)X4)-4=36
44(base eight)+(4/4)=37
44-(4+sqrt(4)=38
44(base nine) – (4/4)=39
44 –(sqrt(4)Xsqrt(4))=40
44(base nine) + (4/4)=41
4! + (4X4) + sqrt(4)=42
44- (4/4)=43
44 + (4-4)=44
44+(4/4)=45
(sqrt(4) X 4!)- (4/4)=47
(sqrt(4)X4!) + (4-4)=48
(sqrt(4)X4!) + (4/4)=49
44+4+sqrt(4)=50
4! –(sqrt(4))+(4/4)=23
ReplyDelete4!-((4-4)/4)=24
44(base five)+(4/4)=25
44(base five) + (4/sqrt(4))=26
4! + sqrt(4) + (4/4)=27
4! + 4(4/4)=28
4! + 4 + 4/4=29
44(base twelve)-(4/4)=51
ReplyDelete44(base twelve)+(4-4)=52
44(base twelve)+(4/4)=53
44(base twelve)+(4-sqrt(4))=54
44(base thirteen)-(4/4)=55
44(base thirteen)+(4-4)=56
44(base thirteen)+(4/4)=57
44(base thirteen)+(4-sqrt(4))=58
44(base fourteen)-(4/4)=59
44(base fourteen)+(4-4)=60
44(base fourteen)+(4/4)=61
44(base fourteen)+(4-sqrt(4))=62
44(base fifteen)-(4/4)=63
44(base fifteen)+(4-4)=64
44(base fifteen)+(4/4)=65
44(base fifteen)+(4-sqrt(4))=66
44(base sixteen)-(4/4)=67
44(base sixteen)+(4-4)=68
44(base sixteen)+(4/4)=69
44(base sixteen)+(4-sqrt(4))=70
44(base seventeen)-(4/4)=71
44(base seventeen)+(4-4)=72
44(base seventeen)+(4/4)=73
44(base seventeen)+(4-sqrt(4))=74
44(base eighteen)-(4/4)=75
44(base eighteen)+(4-4)=76
44(base eighteen)+(4/4)=77
44(base eighteen)+(4-sqrt(4))=78
44(base nineteen)-(4/4)=79
44(base nineteen)+(4-4)=80
44(base nineteen)+(4/4)=81
44(base nineteen)+(4-sqrt(4))=82
44(base twenty)-(4/4)=83
44(base twenty)+(4-4)=84
44(base twenty)+(4/4)=85
44(base twenty)+(4-sqrt(4))=86
44(base twenty one)-(4/4)=87
44(base twenty one)+(4-4)=88
44(base twenty one)+(4/4)=89
44(base twenty one)+(4-sqrt(4))=90
44(base twenty two)-(4/4)=91
44(base twenty two)+(4-4)=92
44(base twenty two)+(4/4)=93
44(base twenty two)+(4-sqrt(4))=94
44(base twenty three)-(4/4)=95
44(base twenty three)+(4-4)=96
44(base twenty three)+(4/4)=97
44(base twenty three)+(4-sqrt(4))=98
44(base twenty four)-(4/4)=99
44(base twenty four)+(4-4)=100
A reader pointed out an error on 49...sorry. Place parentheses around the factorial 4! to satisfy the Order of Operations.
ReplyDelete