# Mistakes: Where is Mathematica's or my mistake

Posted 9 years ago
2635 Views
|
1 Reply
|
1 Total Likes
|
 Hello,entering the following commandsN[Log[10^3]/Log[10], 20] N[Log[10^3]/Log[10] + 1., 20] Floor[%]in mathematica 8 I get the following output:3.0000 4. 3I think, of course, the last output should be 4 and not 3. Otherwise one would have Floor[4.]=3 and this is nonsense.In consequence there is an additional similiar problem. Entering Floor@(Log[10, 10^Range[10]] + 1) Floor@(Log[10^Range[10]]/Log[10] + 1.)one gets as output {2, 3, 4, 5, 6, 7, 8, 9, 10, 11} {2, 3, 3, 5, 5, 6, 7, 9, 9, 10}My students and me were very astonished and could not understand mathematica outputting such obvious nonsense (the last output agaim). Of course, both outputlines should be identical.Could someone in the community give me an advice? Thanks in advance!Peter Quedens
1 Reply
Sort By:
Posted 9 years ago
 This is a good opportunity to teach your students about how numbers (real and integer) are stored in a computer and displayed on the screen. The function RealDigits will be helpful: RealDigits[Log[10^3]/Log[10] + 1.] RealDigits[N[Log[10^3]/Log[10] + 1., 20]] 
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments