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Here are some guidelines for this project my teacher assigned to us a while ago. It's actually difficult to come up with more than 70% of the 100 numbers you need...
1). you may only use four nines - no more, no less, no other numbers. FOUR NINES. 2). you may use any number of mathematical operations to come up with the numbers 1-100 - pi is not a mathematical operation, it is a way to disguise the number 3.14...
These are the rules from my teacher and ... she SAID we could get help, so if anyone knows of any other mathematical operations than the ones listed below... ( ∙ multiply) ( / divide) ( √ square root) ( − subtract) ( ! factorial) ( 9 multiply by the ninth power) ( + add)
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I'll have to ask her if she considers sin, cosine and tangent to be mathematical operations - she's rather...choosy... Thanks Posts: 667 | Registered: Aug 2003
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posted
well, that's not a bad idea, paul ...but this lady's also the only teacher in my school with a sense of humor! It's rare these days that you ever find a math teacher who can make you laugh.
Teacher: (points to poster on wall) Have a look. Tommy, why don't you read it for us ?
Tommy: 4 out of 3 people find fractions challenging .
I don't think the trig functions are very helpful -- you get decimals, mostly.
It's been a while, but I seem to recall that it was doable. Some numbers were hard, but all were doable.
Posts: 32919 | Registered: Mar 2003
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<wonders if you get to turn the 9's upside down and make sixes of them>
<also wonders if it would help to write out each "9" as a sum, like 3+3+1+1+1, or something like that>
Posts: 2112 | Registered: Sep 1999
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I think thats the only one you can get with factorial.
Don't underestimate the power of the trig functions. I believe you can get 2 or 3 with the cofunctions.
Posts: 4112 | Registered: May 2001
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don't worry about it, tak. Today in class you should have seen me.
The problem of the day was a cake. Yes, a cake. Well, a drawing of one, anyway. We had to find the largest number of pieces that could be made out of using three straight cuts on a cylindrical cake. I happened to miss the part about using only three straight cuts and somehow the problem came across to me as: what is that largest number of pieces you can get out of this cake when cutting with straight lines?
Hmm...funny that I was chosen to show my answer...
Posts: 667 | Registered: Aug 2003
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BannaOj, well...be prepared, it's a whopper! - all of the forties but 45 and all of the fifties but 51
Posts: 667 | Registered: Aug 2003
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... :blinks: sometimes it just doesn't penetrate the upper epidermis until someone says it. thanks Posts: 667 | Registered: Aug 2003
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no -today I was working on it with pi and got about .007 from being at 87, but I learned that no decimals were allowed.
Posts: 667 | Registered: Aug 2003
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One of my friends came up with 8 - 1). cut the cake in half so you have to half circles 2). cut the halves in half so you have fourths 3). cut all of the four pieces you have in half (from the side so your knife is parallel with the table). I'm interested to see how you got 7, though.
Yes, I have 2. (9+9+9)/9. But I'm sure there are other ways. Thanks
Posts: 667 | Registered: Aug 2003
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How many pieces of cake are you supposed to be able to get?
I think I can get ten, but probably a few more if I think about it longer. Or do you mean straight vertical cuts?
Posts: 1592 | Registered: Jan 2001
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I wasn't thinking about cylinder aspect or stacking, I was just doing 2-dimensional with the circle. You draw the three lines so that there is a triangle shaped piece in the center of the circle and there are three near triangles on the outside as well as three really odd shaped pieces. But it makes a total of 7.
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I don't think there is a possible way to get 10 pieces from three cuts unless you can fold the cake. A cut divides things into two pieces, so the very most you could get from three cuts would be 2^3 or 8.
Posts: 2112 | Registered: Sep 1999
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