Maths- Gym for Brainiacs
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Re: Maths- Gym for Brainiacs
Hello, is there anybody out there? I see this thread has been dead for a while, but ill ask this here anyway.
I have a question about dividing decimal numbers, something that's been driving me nuts for the last hour. Ok, the basic principles of division are clear, you want to find what goes into a number a given amount of times, ie 20/5 is asking what goes into 20 five times. Whole numbers are easy, even dividing a whole number by a part number is easy, you just have to think about it a different way, ie 50/0.1 just think how many times 0.1 goes into 50, so logically in that case the quotient is bigger than the dividend.
But I don't know how to reconcile this principle to dividing one part number by another. For example, 0.001/0.02, my calculator will tell me the answer is 0.05. What I don't understand is how 2 hundredths goes into 1 thousandth 5 hundredth times.
I can understand 1 tenth going into 50 five hundred times, because there the divisor is smaller than the dividend. But in this case the divident, 1000th, is smaller than the divisor, 100th, so how is it 100th goes into 1000th 5 times?
I have a question about dividing decimal numbers, something that's been driving me nuts for the last hour. Ok, the basic principles of division are clear, you want to find what goes into a number a given amount of times, ie 20/5 is asking what goes into 20 five times. Whole numbers are easy, even dividing a whole number by a part number is easy, you just have to think about it a different way, ie 50/0.1 just think how many times 0.1 goes into 50, so logically in that case the quotient is bigger than the dividend.
But I don't know how to reconcile this principle to dividing one part number by another. For example, 0.001/0.02, my calculator will tell me the answer is 0.05. What I don't understand is how 2 hundredths goes into 1 thousandth 5 hundredth times.
I can understand 1 tenth going into 50 five hundred times, because there the divisor is smaller than the dividend. But in this case the divident, 1000th, is smaller than the divisor, 100th, so how is it 100th goes into 1000th 5 times?
DuringTheWar- First Team
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Re: Maths- Gym for Brainiacs
loooooool didn't even understand what you just said.
Math is such an ass. Will probably fail my uni courses big time if I have to do it there.
Math is such an ass. Will probably fail my uni courses big time if I have to do it there.
El Gunner- An Oakland City Warrior
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Re: Maths- Gym for Brainiacs
DuringTheWar wrote:Hello, is there anybody out there? I see this thread has been dead for a while, but ill ask this here anyway.
I have a question about dividing decimal numbers, something that's been driving me nuts for the last hour. Ok, the basic principles of division are clear, you want to find what goes into a number a given amount of times, ie 20/5 is asking what goes into 20 five times. Whole numbers are easy, even dividing a whole number by a part number is easy, you just have to think about it a different way, ie 50/0.1 just think how many times 0.1 goes into 50, so logically in that case the quotient is bigger than the dividend.
But I don't know how to reconcile this principle to dividing one part number by another. For example, 0.001/0.02, my calculator will tell me the answer is 0.05. What I don't understand is how 2 hundredths goes into 1 thousandth 5 hundredth times.
I can understand 1 tenth going into 50 five hundred times, because there the divisor is smaller than the dividend. But in this case the divident, 1000th, is smaller than the divisor, 100th, so how is it 100th goes into 1000th 5 times?
Read this first, son:
http://en.wikipedia.org/wiki/Scientific_notation
then this
0.001/0.02 = 10^(-3)/(2*10^(-2))=1/2 * 10^(-3+2)= 1/2 * 10^(-1) = 1/2*1/10 = 1/20 = 0.05
The easier way is to multiply with the highest 10 exponent. In case of 0.001/0.02 * 1000/1000 = 1/20
1000/1000 = 1 so by multiplying you don't change the result => allowed.
Babun- Fan Favorite
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Re: Maths- Gym for Brainiacs
Babun got another question. Lets say you have two expressions, 2x + 5, and -1/2 + 3x. You are asked to add the expressions. So you start by combining like terms, 2x + 3x = 5x. But what do you do with the fraction that has a minus sign in front of it? Do you just subtract positive 1/2 from 5 as that is the same as adding negative 1/2 to 5? How would you write it?
DuringTheWar- First Team
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Re: Maths- Gym for Brainiacs
5 + (-1/2) = 5 - 1/2 = 4 1/2
(2x + 5) + (-1/2 + 3x) = 5x + 4 1/2
(2x + 5) + (-1/2 + 3x) = 5x + 4 1/2
elitedam- First Team
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Re: Maths- Gym for Brainiacs
http://ichef.bbci.co.uk/news/660/media/images/82299000/jpg/_82299333_24e94c5d-dc7b-4590-8f46-29d0da74c8b8.jpg
Babun, RO, Spanky pls respond
Babun, RO, Spanky pls respond
RealGunner- Admin
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Re: Maths- Gym for Brainiacs
I love that one.
- Spoiler:
- Albert knows Bernard can't know just from the day. This means the month he was told doesn't include a single date that is unique in the sense it doesn't show up in another month. This rules out May (because May 19th, 19 doesn't show up elsewhere) and June (because of June 18th, 18 doesn't show up elsewhere).
This leaves July and August. When Bernard hears that Albert is sure he doesn't know, he goes through the same process we went through and narrows it down to July and August. The date he was given must be unique within those two months because he then knows. This rules out July 14th and August 14th.
Once Albert finds out Bernard knows, he also knows. If he also knows, then the month he was given must be July (if he was told August then the day could've been either August 15th or 17th and Bernard wouldn't have been able to figure it out. July however only has one day that fits the criteria).
This means her birthday is July 16! Let me know if you have any questions lol just explaining that made my head hurt.
Cruijf- First Team
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