** so farso good ** + switch to "scientific notation + let' ask the same question about floats as we asked about integershow large can they bewe will repeat our approach of repeated squaring we fast-forward to start at squared and notice that we soon get anomolous responses when we square , , , we get number with the letter "ein it user' of pocket calculators at school may recognise this representationit indicates number between and multiplied by power of floating point numbers can only hold roughly significant figures of accuracy this means that when the integer needs more than digits something has to give