i dont knw how to write the decimals as comon fractoins in simplest form?

[keairra13]

Just go to tutorvista they will help you. But if they don't all you need to know is to take the decimal point two times to the right then put the number you get over 100 then divide the numerator into the dem.... tell u later

[Lisasmith111]

Originally Posted by Mr. Hui

I wonder what happens when you try to simplify 0.999... ?

Mr Hui,
I guess using the above method we would have

x= 0.9999; 10x = 9.9999

so 10x - x = 9.9999 - 0.9999

then 9x = 9

so x = 1

0.9999... is as near to 1 as makes no odds

What do you think?

Lisa Smith

[Mr. Hui]

Thanks for typing it out, Lisa.

The fact that 0.999... is so close to 1, and the difference between 0.999... and 1 is infinitesimally small, "proves" that 0.999... = 1.

[tiger190]

Originally Posted by Mr. Hui

Thanks for typing it out, Lisa.

The fact that 0.999... is so close to 1, and the difference between 0.999... and 1 is infinitesimally small, "proves" that 0.999... = 1.

i agree wit u

[Lisasmith111]

Originally Posted by Mr. Hui

I wonder what happens when you try to simplify 0.999... ?

Mr Hui,

I think this one becomes 1 as the following illustrates:-

let x = 0.999 and 10x = 9.999

10x - x = 9
9x = 9
x = 1

0.999 is approx = 1 (I guess there has to be some rounding at due to the nature of decimals, whereas fractions can be more exact.

[MAS1]

Originally Posted by Lisasmith111

Mr Hui,

I think this one becomes 1 as the following illustrates:-

let x = 0.999 and 10x = 9.999

10x - x = 9
9x = 9
x = 1

0.999 is approx = 1 (I guess there has to be some rounding at due to the nature of decimals, whereas fractions can be more exact.

Lisa, there is no rounding involved. 0.999999999... is exactly equal to 1 by the reasoning you showed. If x = 0.99999999... and 10x = 9.999999... then when you subtract x from 10x, it cancels out all of the 9's to the right of the decimal point.
10 - x = 9.999999... - 0.99999999...
9x = 9
x = 1
Substituting back gives 1 = 0.99999...

[Lisasmith111]

Thank you Mr Hui, Mas1 and Tiger190 for you patience and support. I actually posted more replies than I wanted. When I originally replied I didn't see my reply so I posted another and another for same reason. Sorry for the mistake and driving you all mad! However, I am really grateful to you all because believe it or not I could never round decimals (except simple ones!) until I came across Mas1's post which really helped me. Thanks again to you all!

Lisa Smith