What do the endless repetitive numbers mean after a decimal?

for example 323.333333333333. Can you like round that? don't know if that's a stupid question.What do the endless repetitive numbers mean after a decimal?
What do they mean? Well, consider this example:





1.5





What does the .5 mean? It means that, when calculating the number, you don't just take the 1, you also have to add 5 tenths, that is 5/10 = 1/2. This tells you that you don't just have 1, but 1 and 1/2.





Or this, for example:





2.13





This tells you that you have more than 2, you have 1 tenth, and 3 hundredths.





So, if you have this:





323.333333333333...





then you have more than 323, you also have 3 tenths, 3 hundredths, 3 thousandths, etc, or 323 + 3/10 + 3/100 + 3/1000 + .... and so on indefinitely.





It defines a definite number. In this case:





0.33333...


= 3/10 + 3/100 + 3/1000...


= 1/3





It's endless because 1/3 can't be expressed as a terminating decimal. If you divide 3 into 1.000000.... using ordinary division, you will get the result 0.333333...





Yes, you may round it if you want, but beware that any rounding will change the number slightly. If we take 0.33, then we are dropping the extra 0.00333333... which is a non-zero difference. It's easier and more precise to write the number as a mixed fraction:





323 1/3





Oh, and there's no such thing as stupid questions. ;)What do the endless repetitive numbers mean after a decimal?
A decimal representation of a real number is called a repeating decimal (or recurring decimal) if at some point it becomes periodic: there is some finite sequence of digits that is repeated indefinitely. For example, the decimal representation of 1⁄3 = 0.3333333... (spoken as ';0.3 repeating';) becomes periodic just after the decimal point, repeating the single-digit sequence ';3'; infinitely. A somewhat more complicated example is 3227⁄555 = 5.8144144144..., where the decimal representation becomes periodic at the second digit after the decimal point, repeating the sequence of digits ';144'; forever.
depends on what you want to round it to..


nearest tenth? 323.3


nearest hundreth? 323.33 (since 3 is less than 5 you round down)





or to simplify the rounding you could xpress it as;





......_


323.3








whenever there's a bar above the number, it means it repeats itself! (th periods are just there to make the formatting work out..)
its like when you use a rule,some time the measurement is not an exact decimal such , 1 ; 2 ; 3 , sometimes they may be such 1.1 ; 1.45 ; 3.89 ..


you can't round those kind of numbers at least you ve been asked for.
it is known as recurring decimal


it cannot be round off


bt if the no. is 33.666666 then it can be written as 33.67


bt 323.333333 has to b written as 323.33 only
yes you can round up..


eg 323.34
It means the term can be precisely expressed as a fraction.





eg 323 and 1/3 or 970/3