laughedatbytime Posted July 30, 2015 Share Posted July 30, 2015 Good enough to me. When infinity finally comes to an end, it's going to have some explaining to do. as a programmer part of the time, i usually just round that shit to 2 decimal places. Life would be much simplier if all insignificant shit could be rounded and forgotten.I hope you don't work for the airlines. When did they start doing things precisely beyond 2 decimal places?The first time they hired a lawyer. Link to comment Share on other sites More sharing options...
Ancient Ways Posted July 30, 2015 Share Posted July 30, 2015 Rounding? Link to comment Share on other sites More sharing options...
grep Posted July 31, 2015 Share Posted July 31, 2015 Good enough to me. When infinity finally comes to an end, it's going to have some explaining to do. as a programmer part of the time, i usually just round that shit to 2 decimal places. Life would be much simplier if all insignificant shit could be rounded and forgotten. That's the premise of thos computer programs guys write from time to time to shave off and accumulate fractional pennies from accounting systems. Link to comment Share on other sites More sharing options...
Crimsonmistymemory Posted July 31, 2015 Share Posted July 31, 2015 (edited) But if 3.14 equals pie why does it not explain if it's cherry, blueberry (which are actually purpleberries), rhubarb, peach or apple? not to mention it fails to explain if alamode is even an option on all or only the apple? Math can be so misunderstood sometimes... Edited July 31, 2015 by Crimsonmistymemory 2 Link to comment Share on other sites More sharing options...
HemiBeers Posted July 31, 2015 Share Posted July 31, 2015 Good enough to me. When infinity finally comes to an end, it's going to have some explaining to do. as a programmer part of the time, i usually just round that shit to 2 decimal places. Life would be much simplier if all insignificant shit could be rounded and forgotten. That's the premise of thos computer programs guys write from time to time to shave off and accumulate fractional pennies from accounting systems. Ahhh yes the Office Space movie premise. Link to comment Share on other sites More sharing options...
x1yyz Posted July 31, 2015 Share Posted July 31, 2015 Good enough to me. When infinity finally comes to an end, it's going to have some explaining to do. as a programmer part of the time, i usually just round that shit to 2 decimal places. Life would be much simplier if all insignificant shit could be rounded and forgotten. Canada is doing that. Financial transactions are rounded to the nearest five cents so you no longer have to deal with pennies. 1 Link to comment Share on other sites More sharing options...
goose Posted July 31, 2015 Share Posted July 31, 2015 If 1/3=.333333.....and 2/3=.66666666.....and .3333333...... +.6666666.... = .99999999999.......and 1/3 + 2/3 =1it only makes sense that .99999999999...... = 1Your first three statements are wrong.Dork. 1 Link to comment Share on other sites More sharing options...
goose Posted July 31, 2015 Share Posted July 31, 2015 If n = 0.999999999.....Then 10n = 9.999999999...... 10n - n = 9n9.999999999 - 0.999999999 = 9 Therefore, 9n = 9Divide both sides by 9 n = 1 :yes:Dork. 2 Link to comment Share on other sites More sharing options...
goose Posted July 31, 2015 Share Posted July 31, 2015 If 1/3=.333333.....and 2/3=.66666666.....and .3333333...... +.6666666.... = .99999999999.......and 1/3 + 2/3 =1it only makes sense that .99999999999...... = 1Your first three statements are wrong. Explain :o 1/3 is approximately .333333.....and 2/3 is approximately .66666666.....so 1/3 + 2/3 equals approximately .9999999... .9999999 is approximately 1. If you're doing physics, it's all about approximation so then you can say .9999999 = 1Dork. 1 Link to comment Share on other sites More sharing options...
goose Posted July 31, 2015 Share Posted July 31, 2015 Never expected to meet so many dorks on a RUSH forum. 2 Link to comment Share on other sites More sharing options...
goose Posted July 31, 2015 Share Posted July 31, 2015 If 1/3=.333333.....and 2/3=.66666666.....and .3333333...... +.6666666.... = .99999999999.......and 1/3 + 2/3 =1it only makes sense that .99999999999...... = 1Your first three statements are wrong. Explain :oEither you added the ..... or I didn't see them. If the latter, I apologize.No apology needed, as 1/3 does not equal .333..., it only approximates it. Same with 2/3 and .666.... Ergo, .999... does not equal one, but approximates it. 1 Link to comment Share on other sites More sharing options...
goose Posted July 31, 2015 Share Posted July 31, 2015 Good enough to me. When infinity finally comes to an end, it's going to have some explaining to do. as a programmer part of the time, i usually just round that shit to 2 decimal places. Life would be much simplier if all insignificant shit could be rounded and forgotten. Canada is doing that. Financial transactions are rounded to the nearest five cents so you no longer have to deal with pennies.Interesting. My understanding is that the continuation of the penny is to take money out of circulation. Think of the dollars that remain purchased in the form of pennies that remain out of circulation. Link to comment Share on other sites More sharing options...
Principled Man Posted July 31, 2015 Share Posted July 31, 2015 If n = 0.999999999.....Then 10n = 9.999999999...... 10n - n = 9n9.999999999 - 0.999999999 = 9 Therefore, 9n = 9Divide both sides by 9 n = 1 :yes:Dork. That's MR. Dork to you...... ;) ;) Link to comment Share on other sites More sharing options...
Disk98 Posted July 31, 2015 Share Posted July 31, 2015 Theoretically, yes. Technically, no. For this reason, fractions are better for performing mathematical computatations. Link to comment Share on other sites More sharing options...
Bigbobby10 Posted July 31, 2015 Share Posted July 31, 2015 Theoretically, yes. Technically, no. For this reason, fractions are better for performing mathematical computatations. I agree with this 1/3, but i disagree .66666666 1 Link to comment Share on other sites More sharing options...
Disk98 Posted July 31, 2015 Share Posted July 31, 2015 1/3 is not equal to 0.33333333… because 3 x 0.33333333… does not equal 1. It equals 0.99999999…. 1/3 x 3 always equals 1. For this reason, 0.99999999… does not equal 1. 1/6 is typically expressed as 0.16666666…. But 0.16666666 x 6 = 0.9999999…6, which does not equal 1. Decimals are used as approximations of fractions, not necessarily the true value. Most numbers are indivisible by a power of 10 and thus cannot be, as denominators, truly expressed as decimal percentages. Some, like 2, happen to work out. 1/2 is equal to 0.5, because 0.5 x 2 = 1. But 1/9 is not equal to 0.11111111…, as it is expressed, because 0.11111111… x 9 = 0.99999999…. Not 1. But 1/9 x 9 is always 1. No matter what, 1/9 of a pizza is 1/9 of a pizza. But it is not 0.11111111… of a pizza because 9 x 0.11111111… of a pizza does not make a whole pizza. Link to comment Share on other sites More sharing options...
goose Posted July 31, 2015 Share Posted July 31, 2015 If n = 0.999999999.....Then 10n = 9.999999999...... 10n - n = 9n9.999999999 - 0.999999999 = 9 Therefore, 9n = 9Divide both sides by 9 n = 1 :yes:Dork. That's MR. Dork to you...... ;) ;)MR, not Mr. Hahahaaaaaa! Link to comment Share on other sites More sharing options...
goose Posted July 31, 2015 Share Posted July 31, 2015 Theoretically, yes. Technically, no. For this reason, fractions are better for performing mathematical computatations. I agree with this 1/3, but i disagree .66666666 Link to comment Share on other sites More sharing options...
goose Posted July 31, 2015 Share Posted July 31, 2015 1/3 is not equal to 0.33333333… because 3 x 0.33333333… does not equal 1. It equals 0.99999999…. 1/3 x 3 always equals 1. For this reason, 0.99999999… does not equal 1. 1/6 is typically expressed as 0.16666666…. But 0.16666666 x 6 = 0.9999999…6, which does not equal 1. Decimals are used as approximations of fractions, not necessarily the true value. Most numbers are indivisible by a power of 10 and thus cannot be, as denominators, truly expressed as decimal percentages. Some, like 2, happen to work out. 1/2 is equal to 0.5, because 0.5 x 2 = 1. But 1/9 is not equal to 0.11111111…, as it is expressed, because 0.11111111… x 9 = 0.99999999…. Not 1. But 1/9 x 9 is always 1. No matter what, 1/9 of a pizza is 1/9 of a pizza. But it is not 0.11111111… of a pizza because 9 x 0.11111111… of a pizza does not make a whole pizza.Has this been proven true for all toppings? Link to comment Share on other sites More sharing options...
Principled Man Posted July 31, 2015 Share Posted July 31, 2015 Decimals are used as approximations of fractions, not necessarily the true value. I disagree. The decimal fraction is a type of notation - not an approximation. One-third, 1/3, and 0.33333333....(3's repeating forever) are all exactly the same number. They are just written in different notations. Just because we cannot fully express the value of 1/3 in decimal fraction notation does not mean that the number is different. All it means is that we are physically unable to write down an infinite number of 3's, so we use a shorthand notation. The same goes for any rational number's denominator that has prime factors other than 2 or 5....for example, 1/7. The decimal fraction notation for 1/7 is 0.142857142857......(infinitely repeating sequence of 142857), but it is still the exact same number as 1/7. We're just writing it differently. Mathematicians have proven 0.999999...to be equal to 1. They've proven it algebraically (like I did in this thread), via infinite series and sequences, and via other methods. The "paradox" is merely the common skepticism that students have when first addressing the issue. At first look, it is counterintuitive to say that 0.999999....equals 1. However, when actually doing the math, we find that they are indeed equal. And 6 x 0.1666666666......(ad infinitum) equals 0.9999999999999..........(ad infinitum). There is no 6 to the right of all the 9's, as there are an infinite number of 9's. We cannot put anything at the end of an infinite sequence. We'll never catch it! 3 Link to comment Share on other sites More sharing options...
JohnnyBlaze Posted July 31, 2015 Share Posted July 31, 2015 You guys are on acid. Link to comment Share on other sites More sharing options...
Principled Man Posted July 31, 2015 Share Posted July 31, 2015 You guys are on acid. No way, man! We're doing meth....I mean MATH..... ;) ;) 3 Link to comment Share on other sites More sharing options...
Tombstone Mountain Posted July 31, 2015 Share Posted July 31, 2015 Decimals are used as approximations of fractions, not necessarily the true value. I disagree. The decimal fraction is a type of notation - not an approximation. One-third, 1/3, and 0.33333333....(3's repeating forever) are all exactly the same number. They are just written in different notations. Just because we cannot fully express the value of 1/3 in decimal fraction notation does not mean that the number is different. All it means is that we are physically unable to write down an infinite number of 3's, so we use a shorthand notation. The same goes for any rational number's denominator that has prime factors other than 2 or 5....for example, 1/7. The decimal fraction notation for 1/7 is 0.142857142857......(infinitely repeating sequence of 142857), but it is still the exact same number as 1/7. We're just writing it differently. Mathematicians have proven 0.999999...to be equal to 1. They've proven it algebraically (like I did in this thread), via infinite series and sequences, and via other methods. The "paradox" is merely the common skepticism that students have when first addressing the issue. At first look, it is counterintuitive to say that 0.999999....equals 1. However, when actually doing the math, we find that they are indeed equal. And 6 x 0.1666666666......(ad infinitum) equals 0.9999999999999..........(ad infinitum). There is no 6 to the right of all the 9's, as there are an infinite number of 9's. We cannot put anything at the end of an infinite sequence. We'll never catch it!Dude...this ^^^^^ proves you're the very definition of nerd. Wear the badge with honor my friend. Seriously, I got an erection from reading that explanation. Math rarely does that for me 3 Link to comment Share on other sites More sharing options...
goose Posted July 31, 2015 Share Posted July 31, 2015 (edited) Decimals are used as approximations of fractions, not necessarily the true value. I disagree. The decimal fraction is a type of notation - not an approximation. One-third, 1/3, and 0.33333333....(3's repeating forever) are all exactly the same number. They are just written in different notations. Just because we cannot fully express the value of 1/3 in decimal fraction notation does not mean that the number is different. All it means is that we are physically unable to write down an infinite number of 3's, so we use a shorthand notation. The same goes for any rational number's denominator that has prime factors other than 2 or 5....for example, 1/7. The decimal fraction notation for 1/7 is 0.142857142857......(infinitely repeating sequence of 142857), but it is still the exact same number as 1/7. We're just writing it differently. Mathematicians have proven 0.999999...to be equal to 1. They've proven it algebraically (like I did in this thread), via infinite series and sequences, and via other methods. The "paradox" is merely the common skepticism that students have when first addressing the issue. At first look, it is counterintuitive to say that 0.999999....equals 1. However, when actually doing the math, we find that they are indeed equal. And 6 x 0.1666666666......(ad infinitum) equals 0.9999999999999..........(ad infinitum). There is no 6 to the right of all the 9's, as there are an infinite number of 9's. We cannot put anything at the end of an infinite sequence. We'll never catch it!Yeah, you are dead right about this. My assertion of the approximation argument was in the interest of flushing out TRF's resident King Dork. Your post represents your having pulled the sword from the stone. All hail the King! :hail: Edited July 31, 2015 by goose 3 Link to comment Share on other sites More sharing options...
Principled Man Posted July 31, 2015 Share Posted July 31, 2015 (edited) Decimals are used as approximations of fractions, not necessarily the true value. I disagree. The decimal fraction is a type of notation - not an approximation. One-third, 1/3, and 0.33333333....(3's repeating forever) are all exactly the same number. They are just written in different notations. Just because we cannot fully express the value of 1/3 in decimal fraction notation does not mean that the number is different. All it means is that we are physically unable to write down an infinite number of 3's, so we use a shorthand notation. The same goes for any rational number's denominator that has prime factors other than 2 or 5....for example, 1/7. The decimal fraction notation for 1/7 is 0.142857142857......(infinitely repeating sequence of 142857), but it is still the exact same number as 1/7. We're just writing it differently. Mathematicians have proven 0.999999...to be equal to 1. They've proven it algebraically (like I did in this thread), via infinite series and sequences, and via other methods. The "paradox" is merely the common skepticism that students have when first addressing the issue. At first look, it is counterintuitive to say that 0.999999....equals 1. However, when actually doing the math, we find that they are indeed equal. And 6 x 0.1666666666......(ad infinitum) equals 0.9999999999999..........(ad infinitum). There is no 6 to the right of all the 9's, as there are an infinite number of 9's. We cannot put anything at the end of an infinite sequence. We'll never catch it!Yeah, you are dead right about this. My assertion of the approximation argument was in the interest of flushing out TRF's resident King Dork. Your post represents your having pulled the sword from the stone. All hail the King! :hail: You know what this means........the Administrators will have to now give me a new Member Title! Suggestions: His Royal High-On-Math-Ness King Of The Dorks Mathematical Porn Star :gumby: Edited July 31, 2015 by Principled Man 2 Link to comment Share on other sites More sharing options...
Recommended Posts
Create an account or sign in to comment
You need to be a member in order to leave a comment
Create an account
Sign up for a new account in our community. It's easy!
Register a new accountSign in
Already have an account? Sign in here.
Sign In Now