A community for students.
Here's the question you clicked on:
 0 viewing
henpen
 2 years ago
How many integer n exist so that \[ \frac{n}{100n} \] is also an integer?
henpen
 2 years ago
How many integer n exist so that \[ \frac{n}{100n} \] is also an integer?

This Question is Closed

henpen
 2 years ago
Best ResponseYou've already chosen the best response.0What is the general strategy to be adopted for 'How many integer n exist so that f(n) is also an integer?', other than bursts of insight?

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.0i think, trial error is the best way for this case

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.3suppose that for some integer k, \[k=\frac{ n }{ 100n }\] rearranging the equation we get \[n=\frac{ 100k }{ k+1 }\] and since k and k+1 are relatively prime, we conclude that \[(k+1)100\]

henpen
 2 years ago
Best ResponseYou've already chosen the best response.0What does the notation (k+1)100 mean?

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.3when k = 0, n = 0. when k = 1, n = 50 when k = 3, n = 75

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.3there are more values for k, but the solution set is finite.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.