Which one is greater n/1 or 1/n...?

Question

this is for extra credit in my Algebra II/ Trig course and i've never seen this before well i don't recall anything to this question please give me your best of knowledge on this question i would dearly appreciate it....Thank You

~JosH~

Thank you everyone appreciate it lol..a lot of answers but i got the idea of what everyone was saying so it all depends on what n= ... so if n<1 then 1/n is greater than n/1

Answer 1

If n is > 1, then n/1 is greater
If n is < 1, then 1/n is greater
If n=1, then there are the same
Thats assuming n is a real positive number

Answer 2

I think this would change pertaining to the restrictions of n. When n is between 0 and 1, then 1/n is greater. (1/2 / 1 = 1/2, 1 / 1/2 = 2) however if n is less than 0, then n/1 is greater. (-3 / 1 = -3 1/-3 = -1/3) and when n is greater than 1, n/1 is once again greater than 1/n. So I think the solution would be to give different cases along with restrictions for n.

P.S. if n is 0 or an undefined value such as sq rt of -3 then 1/n is something totally different, to which a new set of restrictions is needed.

and of course if n is one, then they are equal so that needs another restriction also

Answer 3

It depends. Suppose n=2 then n/1 which is 2/1 is greater than 1/n which is 1/2. If n=1 n/1 which is 1/1 is the same as 1/n which is 1/1. Its also the same if n= -1. However if n= -2, n/1 which is -2 is less than 1/n which is -1/2. So n/1 is greater than 1/n only when n>1. Hope ya got it!

Answer 4

It's a matter of substituting difference numbers and compare.


For n = 1 or -1, n/1 and 1/n are the same.
For 0 n/1
For -1 1/n
For n > 1, n/1 will be greater than 1/n.
For n <1, 1/n will be greater than n/1

n cannot be 0 as 1/n when n=0 is undefined.

Answer 5

Depends on n. If n=2, then n/1 is greater. If n=1/2, 1/n is greater.

For n=0 the comparison does not make sense, because 1/n is not defined

For 0 For n>1: n/1 is greater than 1/n
For -1 For n<-1: 1/n is greater than n/1

Answer 6

n/1 is greater. When you get to substitute by any number in both of them, n/1 will give the greater value, example: 2/1 > 1/2.. But when you get to substitute with "Zero" 1/n wil give you infinite answers.. so I think it shouldn't be compared like that.
Best wishes..

Answer 7

It depends
If n = 0 then this doesn't make sense
if n = 1 then n/1 = 1/n
if n = 2 then n/1 > 1/N because 2 > .5
if n > 2 then n/1 > 1/n because multiplying both sides by n, we have n^2 > 1

if n = -1 then 1/n = n/1
if n = -2 then -1/2 > -2
and so on, if n < -1, then 1/n > n/1

Answer 8

1/n is greater. The reason is that n could be anything. liek if n is 2, 2/1 is greater than 1/2.

Answer 9

if N is any integer greater than 1 than N/1 will always be greater than 1/N. (ex. N=6, N/1=6, 1/N=0.1667). however if N is an integer less than one than 1/N will be greater than N/1(ex. N= -6, N/1= -6, 1/N= -0.1667)

Answer 10

It depends, if n<1 then 1/n is bigger than n/1, if n>1 it is the opposite, n/1 > 1/n. And if n=1, then they are equal. OK?