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 Same blocks- different numbers Goto page 1, 2, 3, 4  Next
Author Message
Jingle47
Daedalian Member

 Posted: Mon Apr 01, 2002 4:01 am    Post subject: 1 Suppose you have the following blocks... 1 2 3 5 7 + - X log % ( ) The object is to form expressions that equal all the integers from 1 through 100. for example if you put the 1 block in front of you you would have 1. if you put the 2 to the right of the 1 you would have 12 if you put down the three blocks 1+3 you would have 4. 1)..............can you can form all 101 integers from 1 to 100? 2)What is the least numberof blocks you must use to form all the integers 1 through 101? HINT: you can place the blocks any way you want but you must obey order of operations... if you place the 5 to the right of the 2 but raised up a little bit you would have 2^5=32. Also you can turn the blocks however you want as well.
Jingle47
Daedalian Member

 Posted: Mon Apr 01, 2002 5:55 am    Post subject: 2 Noone ever tries to do my puzzles!!! ARe they that bad? ARe they too complicated or just trivial?
Nobody
Icarian Member

 Posted: Mon Apr 01, 2002 6:07 am    Post subject: 3 aww... don't feel bad, ill go to work on in ------------------ I am Nobody Nobody is perfect Therefore, I am perfect
Jingle47
Daedalian Member

 Posted: Mon Apr 01, 2002 4:21 pm    Post subject: 4 5^3-27=98 5^3-27+1=99 Now you only have to do 98 more.
HappyMutant
Daedalian again

 Posted: Mon Apr 01, 2002 5:09 pm    Post subject: 5 May as well give it a good kick. code:```1 = 1 2 = 2 3 = 3 4 = 5 - 1 5 = 5 6 = 3 x 2 7 = 7 8 = 2 ^ 3 9 = 3 ^ 2 10 = 5 * 2 11 = 7 + 5 - 1 12 = 7 + 5 13 = 7 + 5 + 1 the second '+' is a sideways 'x' 14 = 7 x 2 15 = 3 x 5 16 = 3 x 5 + 1 17 = 3 x 5 + 2 18 = (5 + 1) x 3 19 = 5 ^ 2 - 7 + 1 20 = 7 x 3 - 1 21 = 7 x 3 22 = 7 x 3 + 1 23 = 7 x 3 + 2 24 = 3 x (7 + 1) 25 = 5 ^ 2 26 = 5 ^ 2 + 1 27 = 3 ^ (2 + 1) 28 = 5 ^ 2 + 3 29 = 7(3) + 5 + 3 again, sideways 'x' 30 = 3(7 + 2 + 1) ditto``` ------------------ Brunch - you'll love it. It's not quite breakfast, it's not quite lunch; but it comes with a slice of cantaloupe at the end.
robichelli
MI:6 Agent

 Posted: Mon Apr 01, 2002 9:09 pm    Post subject: 6 code:``` 31=(2^5)-1 32=2^5 33=(7x5)-2 34=(7x5)-1 35=7x5 36=(7x5)+1 37=(7x5)+2 38=(2^5)+5+1 x was turned on its side``` [This message has been edited by robichelli (edited 04-01-2002 04:11 PM).]
Chuck
Daedalian Member

 Posted: Mon Apr 01, 2002 9:46 pm    Post subject: 7 Your 38 uses 5 twice. 38 = 15 + 23 [This message has been edited by Chuck (edited 04-01-2002 09:06 PM).]
Chuck
Daedalian Member

 Posted: Mon Apr 01, 2002 9:54 pm    Post subject: 8 39 = 2^5 + 7
Chuck
Daedalian Member

 Posted: Mon Apr 01, 2002 9:55 pm    Post subject: 9 40 = (7+1) x 5
Chuck
Daedalian Member

 Posted: Mon Apr 01, 2002 10:00 pm    Post subject: 10 41 = 7^2 - (3+5)
Chuck
Daedalian Member

 Posted: Mon Apr 01, 2002 10:03 pm    Post subject: 11 42 = 35 + 7
The Dark
Daedalian Member

 Posted: Mon Apr 01, 2002 11:43 pm    Post subject: 12 Don't need any pesky sideways Xs 13 = 13 29 = 31 - 2 30 = 27 + 3
Zealot
Daedalian Member

 Posted: Tue Apr 02, 2002 12:22 am    Post subject: 13 43=7^2 - (5 + 1)
Zealot
Daedalian Member

 Posted: Tue Apr 02, 2002 12:24 am    Post subject: 14 44 = 75 - 31 or 7^2 - 5 45 = 7^2 - (3 + 1) 46 = 7^2 - 3 [This message has been edited by Zealot (edited 04-01-2002 07:26 PM).]
CrystyB
Misunderstood Guy

 Posted: Tue Apr 02, 2002 12:34 am    Post subject: 15 Am i the only one that likes MATH? How do you people dare trash it so hard??? There are only 100 integers between 1 and 100, inclusive.. What base is the log? When a block is given X, one cannot assume it is useable for addition!
i_h8_evil_stuff
Daedalian Member

 Posted: Tue Apr 02, 2002 12:40 am    Post subject: 16 would that "X" be a sign of multiplication, or is it a variable? ------------------ The name explains it all.
cubestudent
3D Member

 Posted: Tue Apr 02, 2002 12:54 am    Post subject: 17 47 = 7^2 + 3 - 5 48 = 7^2 - 1 49 = 7^2 50 = 7^2 + 1 51 = 51 52 = 52 53 = 53 54 = 7^2 + 5 55 = 5 * (13 - 2) 56 = 7 * (3 + 5) 57 = 57 58 = 57 + 1 59 = 57 + 2 60 = 57 + 3 61 = 73 - 12 62 = 2 * 31 63 = 7 * 3^2 64 = 71 - (5 + 2) 65 = 71 - (2 * 3) 66 = 71 - 5 67 = 72 - 5 68 = 73 - 5 69 = 71 - 2 70 = 57 + 13 71 = 71 72 = 72 73 = 73 74 = 2 * 37 75 = 75 [This message has been edited by cubestudent (edited 04-01-2002 10:08 PM).]
Lucky Wizard
Daedalian Member

 Posted: Tue Apr 02, 2002 1:08 am    Post subject: 18 56=53+2+1 57=57 58=5*13-7 59=57+2 60=5*12 61=53+7+1 62=57+3+2 63=7*(3^2) 64=(7+1)^2 65=71-(2*3) 66=3*(17+5) 67=73-(5+1) 68=71-3 69=71-2
Lucky Wizard
Daedalian Member

 Posted: Tue Apr 02, 2002 1:10 am    Post subject: 19 Just so you know, when I started typing, cubestudent's post only had the numbers up to 55.
cubestudent
3D Member

 Posted: Tue Apr 02, 2002 1:11 am    Post subject: 20 sorry 'bout that
SaberKitty
one can always be hopeful...

 Posted: Tue Apr 02, 2002 1:25 am    Post subject: 21 code:```76=75+1 77=75+2 78=75+3 79=75+3+1 (2nd + is a sideways x) 80=75+3+2 (see above)``` ha ha, i finally posted at least a few before they were already up
Chuck
Daedalian Member

 Posted: Tue Apr 02, 2002 2:06 am    Post subject: 22 80 = 57 + 23 Is it legal to rotate a + or × by 45°?
Chuck
Daedalian Member

 Posted: Tue Apr 02, 2002 2:08 am    Post subject: 23 Can we turn log upside down to make 601?
CrystyB
Misunderstood Guy

 Posted: Tue Apr 02, 2002 2:21 am    Post subject: 24 What would you do with 601? (601-1)%=6 ? [This message has been edited by CrystyB (edited 04-01-2002 09:22 PM).]
cubestudent
3D Member

 Posted: Tue Apr 02, 2002 2:23 am    Post subject: 25 81 = 3^(5 - 1) 82 = 5 * 17 - 3 83 = 3^(5 - 1) + 2 84 = 7 * 12 85 = 13 + 72 86 = 15 + 73 - 2 87 = 15 + 72 88 = 15 + 73 [edited to remove 4's (and change a 2 to a 3) blech!] [This message has been edited by cubestudent (edited 04-01-2002 09:41 PM).]
Chuck
Daedalian Member

 Posted: Tue Apr 02, 2002 2:24 am    Post subject: 26 All true, but we don't have a 4 block.
Chuck
Daedalian Member

 Posted: Tue Apr 02, 2002 2:25 am    Post subject: 27 601 could be useful if we can angle the minus sign to make a division sign.
Zealot
Daedalian Member

 Posted: Tue Apr 02, 2002 2:26 am    Post subject: 28 You could use 5 - 1 instead for 81 and 83. [This message has been edited by Zealot (edited 04-01-2002 09:26 PM).]
cubestudent
3D Member

 Posted: Tue Apr 02, 2002 2:26 am    Post subject: 29 oops
Chuck
Daedalian Member

 Posted: Tue Apr 02, 2002 2:28 am    Post subject: 30 We can rotate the percent sign to look like zero divided by zero which can equal anything. All numbers can be expressed with one block.
Zealot
Daedalian Member

 Posted: Tue Apr 02, 2002 2:28 am    Post subject: 31 82 = 5^2 * 3 + 7
Zealot
Daedalian Member

 Posted: Tue Apr 02, 2002 2:31 am    Post subject: 32 86 = 71 + 3 * 5
Zealot
Daedalian Member

 Posted: Tue Apr 02, 2002 2:33 am    Post subject: 33 cubestudent: 82 should be -3, not -2.
cubestudent
3D Member

 Posted: Tue Apr 02, 2002 2:41 am    Post subject: 34 argh! doggone it!
Zealot
Daedalian Member

 Posted: Tue Apr 02, 2002 2:48 am    Post subject: 35 64, 65, 69, and 70 also have 4's in them, so here are some versions without a 4: 64 = (7 + 1)^2 65 = 57 + 2^3 69 = 71 - 2 70 = 75 - (2 + 3)
Chuck
Daedalian Member

 Posted: Tue Apr 02, 2002 3:53 am    Post subject: 36 89 = 57 + 32
Jingle47
Daedalian Member

 Posted: Tue Apr 02, 2002 4:37 am    Post subject: 37 You all are doing so well..... I guess 1 through 100 is only 100 numbers...I always hate counting. If you want to know about turning blocks, read the first couple posts. Has anyone worked on the second part of the problem? In other words how many blocks can you do without and still make all 100 numbers ? PS chuck I got my package today....I am already loving Flatterland!! ------------------ I AM THE SMARTEST GUY ON THE BLOCK! -Psst! "He lives in a cul-de-sac" [This message has been edited by Jingle47 (edited 04-01-2002 11:38 PM).]
Chuck
Daedalian Member

 Posted: Tue Apr 02, 2002 4:44 am    Post subject: 38 Yeah, Flatterland is good. 90 = (21-3) × 5
Chuck
Daedalian Member

 Posted: Tue Apr 02, 2002 4:47 am    Post subject: 39 91 = 75 + 2^(3+1)
mikegoo
Daedalian Member

 Posted: Tue Apr 02, 2002 5:30 am    Post subject: 40 92=127-35
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