Is 1.0000... ( 1 with infinite zeros) greater than 1.0? Given that 0.3333... is greater...
Is 1.0000... ( 1 with infinite zeros) greater than 1.0?
Given that is greater than and similarly is greater than , does it follow that the sum of and is greater than sum of and ?
Answer & Explanation
This is clearer to see when using fraction notation:
Not only is it greater, it doesn't actually equal , but rather
Note that I've used dots above the number to repeated decimal expansion, for example: