Imagine a long thin strip of paper stretched out in front of you, left to right. Imagine taking the ends in your hands and placing the right hand end on top of the left. Now press the strip flat so that it is folded in half and has a creases. Repeat the whole operations on the new strip two more times.
How many creases are there? How many crease will there be if the operation is repeated 10 times in total?
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Welcome class to your first math blog problem. Enjoy and good luck!
ReplyDeleteAfter folding the paper 3 times, it will have 7 creases, if it is folded 10 times, it will have 928 creases.
ReplyDelete-Davin
There are 15 creases if you fold it three times. If you fold it ten times, then there will be 1023 creases. I know this because there is a pattern rule: Start at 1. Add two. Double the number you add each time. Another thing i noticed is that the number you get is one less then the number you have to add next. e.g. when you get the number 31 you have to add 32.
ReplyDeletewhen u fold 1 time 1 crease is created. The 2nd time there are 3 creases. the 3rd time there is 7 creases. If u fold 10 times there will be 999 creases.
ReplyDeleteThere are 7 creases in total.
ReplyDeleteIf the operation were to be repeated 10 times,there would be 64 creases.
-Josel
my mistake it was 62.....or did I say that already? o.O
ReplyDelete-Josel
when i folded my piece of paper twice i got 3 creases. when i folded it 10 times i got 1020 creases. the formula i followed was double the last number (by 2) and add one i check my answers as far as i could and it worked! :)
ReplyDelete-Iris
number of creases plus one plus number of creases. do ththis 10 times and you get the answer
ReplyDeletethomas
when you fold 1 time there is 1 crease. 2 folds
ReplyDeleteis 3 creases. 3 folds is 7 creases. 10 folds is 1023 creases
fold it once in half = 1 crease, twice in half = 3 creases, 3times= 7 creases.still working on 10... Evelyn's pattern rule is correct
ReplyDeletecooper
when folded ten times, there are 993 creases
ReplyDeletei'm pretty sure it's 1132 I might be wrong but I also think the pattern rule is x2, +2 after 1x2+1, and 3x2+1.
ReplyDeletethis is kinda cool and great job dudes and dudettes!!!!!
- Jeff
This comment has been removed by the author.
ReplyDeleteIf you fold it once it has once crease, twice it has 3 and three times it has 7. Like Cooper and Evelyn I noticed that you start at one add two then double the number you add every time. So four folds is 15 creases and 5 folds is 31.I am still figuring out 10.
ReplyDelete-Leo
When you fold it 10 times there are 1023 creases.
ReplyDeleteIt would have 7 creases there is a pattern.
ReplyDeleteYou start at one add two and then double the number you add every time. Folded ten times there would be 1023 creases
Grace
Hey everyone....It's Katty :)
ReplyDeleteSo when folded it 3 times it had seven creases:)
Still working on the 10 creases bit so I'll have to write that later on.
See yah all at school!
-Katty
there are 2 pattern rules the one that Evelin said and start at 1 add 2 multiply the number you add by 2 each time
ReplyDeleteHey everyone...It's Katty :)
ReplyDeleteWhen I folded it three times I got 7 creases. The pattern rule to figure out how many creases you would get if you folded it ten times is: multiply by two then add one. For example, 4 folds:15 creases, 5 folds:31. I found out the same number as Eleven for ten folds, 1023.
*Katty*
In my previous comment I mistyped eleven instead of Evelyn. So sorry Evy!
ReplyDelete-Katty
Oops :(
ReplyDeleteSorry...there are 7 creases when u fold it 3x.
-Jeff
I also figured out that for 10 folds the answer is 2 to the power of 10 minus 1. Also the number you add is one more than the previous answer, so if you have 15 creases you add 16 to find the next amount.
ReplyDelete-Leo
Hey Guys,
ReplyDeleteWhen i repeated the operation twice i got 7 creases. I am still working on 10 times so far ive had to fold almost 2 pieces worth of paper in strips and it dosent give me enough so...
-Sara
I decided to give up on cutting paper. So i looked at my previous strips. I found the same as many other classmates. Times 2 plus 1. So if you fold it 10 times you would get 1023 creases.
ReplyDelete-Sara
Fold # # of creases
ReplyDelete1-1--6-63
2-3--7-127
3-7--8-255
4-15--159-511
5-31--10-1023
The pattern is multiply the number of creases by 2 then add 1.
Quinn
After folding the paper 3 times i got 7 creases.
ReplyDeleteAfter folding it 10 times i got 1023 creases.
The pattern i used was every time I fold the paper, the number of creases is multiplied by 2, then plus 1.
If you fold a piece of paper 3 times you get 7 creases. But ten times was a little harder. I thought about it and found some formulas that can be multiply by two then add one or start at 1, Add two and then double the number you add each time. There are probably other formulas or variations of those ones but those are the two I got first. That makes the answer 1023 for the ten folds question. These are probably the answers that every one got and sorry that I am commenting late but better late than never. See ya soon, Emiy:o)
ReplyDeleteToo much paper wasted.... any who, the answer is 1023 creases (wow guess how much paper THAT took!)The trick is x2 +1 every time.
ReplyDeleteI posted earlier but it did not come through, sorry. With one fold there will be one crease and with ten folds there will be one thousand-twenty three creases.
ReplyDeleteHi it's Scarlett!!
ReplyDeleteI got stuck at first but
than I got it. x2 +1 every fold.
-Scarlett
to Evy
ReplyDeletethat's you're comment really helped
Scarlett
When you fold the paper once, you get 1 crease, two times 3 creases, three times 7 creases. I think that the pattern is (2 to the power of n subtract 1), where n represents the number of folds. So if you fold the paper 10 times, the number of creases would be (2 to the power of 10 - 1), which is (1024 - 1 = 1023) or 1023 creases.
ReplyDeleteWhen I folded 1 time i got 1, 2 times i got 3 3 times i got 4 times 15 6 times 31 7 times 63 8 times 127 9 times 255 10 times 511. I followed the stragety x 2 + 1. 1 x2 + 1 = 3,3 x 2 + 1 = 7, 7 x2 +1 = 15, 15 x2 + 1 = 31, 31 x 2 + 1 = 63, 63 x2 + 1 = 127, 127 x 2 + 1 = 255 and finally 255 x 2 = 1 =...........511 = 10th time.
ReplyDeleteIf my last 1 did not get on then here: Rule : x2 +1 so if in half which is folded 1 time it is 1 crease, if folded twice it is 1 x2 +1 = 3, then the rule happens to all the numbers so forth and then the third is 7 (3 x2 +1) and the tenth is 511 or 1023, I got lost. (pretty sure 511)
ReplyDelete.................HARI MENON TUESDAY OCTOBER 6TH 2009 21ST CENTURY.
lol every has the right answer because there is no right answer. in theory our formulas could be wrong and we all have the wrong answer.... that we will never know!(except for the people that actually folded a piece of paper and counted over 1000, whoever did that good for you, i would get frustrated!!!:)
ReplyDeleteIris
Hey its em if you fold it 1 time it has 1 crease.
ReplyDeleteTen times and it has 127.see yaa.$$!!**
so bassicially what happens is if u fold it 3 times youll get 7 creases and if you fold it 10 x then its 1023 because u gotta like multiply by 2 for each time and then add 1 duhhhh Made by your friendly neighboorhood spiderman (liam)
ReplyDeleteThe answer is 1023. what i did was, i did 2 to the power of 10 which is 1024 minus 1 which is 1023.
ReplyDelete~Adele~
Like almost everyone else said
ReplyDeleteif you fold it
Once=1
Twice=3
3 times=7
4 times=15
5 times=31
6 times=63
7 times=127
8 times=255
9 times=511
10 times=1023
Three times is seven. here is a chart
ReplyDelete3=7
4=15
5=31
6=63
7=127
8=255
9=511
10=1023
11=2047