# ir/rational expansion

• Oct 27th 2005, 04:10 PM
Natasha
Tricky one
Which rational numbers between 0 and 1 have finite decimal expansions? Give a brief description, with some explanation in your answer.

Example 3/40 = 0.075, however 2/3 = 0.66666666666............

Help I am :confused:
• Oct 27th 2005, 04:31 PM
Jameson
Which rational numbers? There are infinitely many. Is that everything the question says?
• Oct 27th 2005, 04:39 PM
Natasha
The question I have been given is essencially that:

Give a brief description, with some explanation, of which rational numbers between 0 and 1 have finite decimal expansions? [An example is 3/40 = 0.075, however 2/3 = 0.66666666666............]

I am truly :confused:
• Oct 27th 2005, 05:10 PM
Jameson
Question - what kind of course is this for? Do you think your teacher/professor wants a rigorous proof or a general explanation?
• Oct 27th 2005, 05:13 PM
Natasha
I think a general proof would do, obviously the more I put down the better
• Oct 27th 2005, 05:21 PM
Jameson