Does 0.999999999999999999 really equal 1?


Recommended Posts

This is a weird question, but makes you think.

If 1/9 = 0.1111, 2/9 = 0.2222, 7/9 = 0.7777, 8/9 = 0.8888... whats 9/9?

1/3 = 0.3333. 2/3 = 0.6666, 3/3 = ?

Whats 1/9 * 9? (1/9 = 0.11111 * 9 = 0.999999)

Link to comment
Share on other sites

Originally posted by VaxoP

This is a weird question, but makes you think.

If 1/9 = 0.1111, 2/9 = 0.2222, 7/9 = 0.7777, 8/9 = 0.8888... whats 9/9?

1/3 = 0.3333. 2/3 = 0.6666, 3/3 = ?

Whats 1/9 * 9? (1/9 = 0.11111 * 9 = 0.999999)

You think too hard. :D

Link to comment
Share on other sites

the calculator didn't round up, but if you are gonna do it by hand, you must round it off somewhere

you are rounding numbers up, 1/3 is complete.

Link to comment
Share on other sites

the thing is that 1/3 isn't 0.33333, it's 0.333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333... an so on...

Link to comment
Share on other sites

Technically, no.

As close as .999999999999999 is to 1, it is not the number 1.

There is a statement that says that in a given interval there are an infinite amount of numbers. This means that no matter how large or small the interval is, there are an infinite amount of numbers you can derive from that interval.

BTW, VaxoP, you bring up good points, but 1 is 1 and .99999... is .99999... . ;)

Link to comment
Share on other sites

well if 1/3 = 0.333333333333333333333333333333333 repeating forever.. multiplying that by 3 would give 0.999999999999999999999999 forever correct?

but multiplying 1/3 by 3 gives 1?

Link to comment
Share on other sites

That's because multiplying .333333333333333 by 3 would give .999999999999999, but this is a terminating decimal and not a repeating decimal. Since 1/3 yields a repeating decimal (.33333333...), you really cannot multiply the decimal by 3 and get an accurate result (.99999999...), hence 1/3 * 3 = 3/3 = 1

Link to comment
Share on other sites

the way you are figureing it out are to differerent formulas

one is fractions and the other is decimal so it would be multiplied differently:D

Link to comment
Share on other sites

Originally posted by linsook

no actaully.....

0.33333333333333... * 3 does not equal 0.999... but actaully 1

no actually it does equal .99999 it is always just thought of it beight rounded to the nerest decimal place

Link to comment
Share on other sites

Originally posted by codyg11

You cannot accurately obtain an answer by multiplying a real number by a repeating decimal. Use fractions whenever possible.

thank you someone that finally knows math

Link to comment
Share on other sites

blegh, stop remind me of school :p

mathmaticians are all wacked out. if you add zero up infinity times you get 1. don't forget about 0! = 0*0=1. those are two of my faves.

Link to comment
Share on other sites

Originally posted by BroChaos

blegh, stop remind me of school :p

mathmaticians are all wacked out. if you add zero up infinity times you get 1. don't forget about 0! = 0*0=1. those are two of my faves.

0*0=0 man anything multiplied by zero always equals zero

Link to comment
Share on other sites

Yeah, the infinity stuff really whacks up math, if it not already whacked up too much already for some people. Also confuses lots of people.

Link to comment
Share on other sites

0*0=0 man anything multiplied by zero always equals zero

not really :p, i didn't make that stuff up. it can really equal 1 sometimes.

Link to comment
Share on other sites

Saying that .9999999999999999999999999999999 is equal to one is like saying that Pi is equal to 3... That's a bit exaggerated but it's the only other explanation I could think of. You still can use Pi but it never gets you an exact number.... Ex:

Pi*(2^2) {is not exactly equal to} 12.566370614359172953850573533118

Just as -

(1/3)*3 {is not exactly equal to} .9999999999999999999999

Link to comment
Share on other sites

Originally posted by jayp6969

no actually it does equal .99999 it is always just thought of it beight rounded to the nerest decimal place

No, actually it does equal one... He used the infinitesimal decimal .33333333 and although you cannot add this up on paper because it's infinite, the series actually is 1 - Ex:

Sum(1/10(1/x)^x,x,1,infinity) = 3, but try working that out on paper... You can't cuz of the infinity above the Sum.

PS: This is a function of summation notation.

Link to comment
Share on other sites

i love the responses im getting :) - just trying to mess with peoples heads

heres something...

1/3 = 0.333333 repeating forever - correct? correct. multiply that by 3. no matter now many 3's are there (infinite amount) if you multiple that by 3, you will get an infinite amount of 9's (0.9999 forever)..

tell me - where does the 1 come from?

Link to comment
Share on other sites

This topic is now closed to further replies.
  • Recently Browsing   0 members

    • No registered users viewing this page.