find the value of the missing term n/16=4/n?

Question

show the work

Answer 1

From mental math, 8.

From calculation:

n/16 = 4/n
You have to eliminate n from one side.

We get (n^2)/16 = 4

Multiply both sides by 16:
n^2 = 64

Square root both sides.
n=8

Answer 2

Let's see, the MISSING term in n/16 = 4/n? Shee, there must be something missing in there, I just can't see where it could be? What's the value for n? That's easy to do:

n/16 = 4/n

n^2/16 = 4

n^2 = 4 ^16

n^2 = 64

n = 8

But a MISSING term? Hmmm! Maybe there's a inbetween term, like 1/2? If the terms are expressed as powers of 2 and n, so that we have n/16 = n^1 * 2^(-4), and 4/n = 2^2 * n^(-1), then the term inbetween would be n^0 & 2^(-1), or 1/2. But I have the feeling that this isn't what you're looking for, so what am I doing in here? Leave this one to the experts!

Answer 3

multiply both sides by 16n to get rid of the fractions

n^2 = 64

To get rid of the n^2 take the square root of both sides

n = + or - 8

You end up with the n being equal to both positive and negative 8

Answer 4

n/16=4/n
multiplying both sides by 16/n
n^2=64
so n=+/- 8

Answer 5

Cross multiplying gives

n^2 = 64

So n = positive or negative 8