Question

the number line shows an unknown number, n. is it positive or negative? positive negative

Explanation:

Step1: Recall number - line concept

Numbers to the left of 0 on a number - line are negative, and numbers to the right of 0 are positive. Since the unknown number \(n\) is to the left of 0 on the number - line shown, \(n<0\).

Step2: Determine sign of \(\frac{3}{n}\)

When we have a positive number 3 divided by a negative number \(n\), using the rule \(\frac{a}{b}\) where \(a > 0\) and \(b<0\), the result is negative. That is, \(\frac{3}{n}<0\) because a positive - divided - by - negative gives a negative result.

Answer:

negative