Answer:
-6(1/2) < 0 < |-1| < |9|
Explanation:
"| x |" refers to the absolute value of a number x.
|x| = x
|-x| = x when x ≥ 0 e.g. 1, 2, 100, 50, 1.1 etc.
|-x| = -x when x < 0 e.g. 0.2, 0.45, 0.0006 etc.
This means:
|9| = 9
|-1| = 1
-6(1/2) would have an overall negative value. It is a mixed fraction. Here is how you can convert it in simple fraction:
-6(1/2) = [(-6 x 2) + 1]/2 = (-12 + 1)/2 = -11/2
The value of zero stays the same.
Therefore, the solution is: -11/2 < 0 < 1 < 9
=> -6(1/2) < 0 < |-1| < |9|