Answer:
[tex]-2\frac{1}{4}<-1\frac{1}{4}<\frac{3}{4}<|1\frac{1}{4}|<|-1\frac{3}{4}|<|-2\frac{1}{4}|[/tex]
Step-by-step explanation:
Mod of any number represents the absolute value of the number.
Therefore, [tex]|-2\frac{1}{4}|=2\frac{1}{4}[/tex] = 2.25
[tex]-2\frac{1}{4}=-2.25[/tex]
[tex]|1\frac{1}{4}|=1.25[/tex]
[tex]\frac{3}{4}=0.75[/tex]
[tex]|-1\frac{3}{4}|=1\frac{3}{4}=1.75[/tex]
[tex]-1\frac{1}{4}=-1.25[/tex]
Now we can arrange these numbers in ascending order.
-2.25 < -1.25 < 0.75 < 1.25 < 1.75 < 2.25
Therefore, [tex]-2\frac{1}{4}<-1\frac{1}{4}<\frac{3}{4}<|1\frac{1}{4}|<|-1\frac{3}{4}|<|-2\frac{1}{4}|[/tex]
