3 ms·
Assuming sqrt(2)/2 is one of the elements of your set between 0 and 1, there are! See https://en.m.wikipedia.org/wiki/Countable_set https://en.m.wikipedia.org/w
by pxx 3y ago
Assuming sqrt(2)/2 is one of the elements of your set between 0 and 1, there are! See https://en.m.wikipedia.org/wiki/Countable_set https://en.m.wikipedia.org/wiki/Countable_set
- jameshart 3y agoSqrt(2)/2 can not be written as a decimal number. A decimal number is a rational whose denominator is an integer power of 10.
- zorgmonkey 3y agoNo, any rational number with a denominator that has only the prime factors of 2 and 5 will have a finite and exact decimal representation in base 10.
- jameshart 3y agoThat's exactly the same thing as I said, using different words. And anyway, is Sqrt(2)/2 such a number?
- davrosthedalek 3y agoThat's not quite what you have said. 3/2 does not have an integer power of 10 as the denominator, but can be written as a decimal. Of course, it can also be written as a fraction with a integer power, for example 15/10. (You are of course right on the 1/sqrt(2) issue)