if i have a 9 cm long plank of even thickness, and i cut it up into 3 pieces fo 3 cm each, what wud be the weight of each piece???Theoretically it shud 3.333333333333.........but, mass can never be infite tright???
2006-06-26
10:36:54
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9 answers
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asked by
Anonymous
in
Science & Mathematics
➔ Mathematics
soory 'bout the spelling
2006-06-26
10:37:15 ·
update #1
mass of plank==11gm
2006-06-26
10:39:41 ·
update #2
Yes, you are confusing infinite decimals with infinite mass. A bunch of issues going on here people.
1.The mass of each piece 3.333...grams is not infinite. It is, in fact, finite because it is less than 3.4 the last time I checked.
2.The number 3.333... is an EXACT number. You must not forget the notion of exactness. It is only a theoretical object. You will NEVER be able to tell if something is EXACTLY 3.333... grams or not. First of all, how would you make something EXACTLY 3.333... and second, let's just say that you have something that is EXACTLY 3.333..., how would you find out if it weighs EXACTLY 3.333... grams.
Here is an example. Try this. Its a challenge for you. Cut me a piece of paper that is exactly 4 inches long. Trust me, you will never be able to do it. You will ALWAYS cut it either too long or too short. In addition, even if you do give me a piece of paper that is exactly 4 inches long, I will not have any way of checking its length. Because you cannot trust any measuring instrument. My ruler will always be off. In fact, try this! Measure a piece of paper using the same ruler a bunch of times. You will see that you get different answers (maybe even everytime). There is always margin of error and that is why error analysis is a HUGE field. We know in any measurement we make, we will always have error. The question is how much is the error and how to minimize it.
These notions are just some abstract notions that only exist in our minds. The are not possible in reality but they are very helpful to us. In geometry, a straight line is not supposed to have any width, only one dimension, length is supposed to be there. Which means that in real life it is not possible for us to draw a line because any line we draw will ALWAYS have a width. A circle, is supposed to be either a polygon with infinite sides and shape such that any point on the circle is equidistant from the center. Anyway you look at it, they are both impossible to draw or make. You can never make anything perfectly circular/spherical.
2006-06-26 11:27:33
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answer #1
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answered by The Prince 6
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2016-12-08 12:53:17
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answer #2
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answered by ? 4
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Putting aside for a moment that 11/3 = 3.66666...
Putting aside for a moment that cutting a plank always involves some wastage (sawdust, ash, whatever, depending on how you cut it)...
The mass is not infinite. The number you are pointing out:
. . . . 3.333333333333.........
is not infinite. It is less than 3.4 and more than 3.3.
Even though you cannot exactly represent this number in a finite number of decimal fraction digits, the number itself is a definite finite thing (10/3 to be exact).
2006-06-26 10:50:17
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answer #3
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answered by BalRog 5
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i think the answer is (11)/3 which is 3.6666666..... or 3+2/3and if im incorrect 3.333333........ stand for 3+1/3 try using 3+(1/3) in a calculator
by the way 3 1/3 is 10/3 meaning you must give us a mass of 10 grams
2006-06-26 10:42:15
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answer #4
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answered by Croasis 3
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i suck at this kinda stuff hold on let me think im only 13 , ok i think i got it , so it would be 3.33333333333333 but it would be easyer if u knew the total mass of the 9cm plank cause if its even thikness then if u divide it by three it would get an equal weight , but i dont know im only 13
2006-06-26 11:45:52
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answer #5
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answered by Anonymous
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You are confusing infinite mass with repeating decimals.
The mass of each piece, 3.666... grams, is a rational number. Even if it were irrational, it still wouldn't be infinite.
2006-06-26 11:01:57
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answer #6
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answered by ewetaunt 3
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you have to round it to the correct amount of significant figures which would be 1....so the answer is 3.
2006-06-26 10:41:18
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answer #7
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answered by Rachel 3
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Oh just cut the damn plank and finish the deck will you?!?
2006-06-26 10:39:44
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answer #8
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answered by Quasimodo 7
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oh, sweetie... y do u trouble urself with trivial details... not everything has to be done the complicated way.
i miss chatting to u, by the way!
2006-06-30 20:19:40
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answer #9
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answered by bukroot 4
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