Question

Help quick please. Order the numbers from least to greatest.

Answer 1

`-2(1)/(4)<-1(1)/(4)<(3)/(4)<|1(1)/(4)|<|-1(3)/(4)|<|-2(1)/(4)|`

Explanation:

Mod of any number represents the absolute value of the number.

Therefore,
`|-2(1)/(4)|=2(1)/(4)` = 2.25

`-2(1)/(4)=-2.25`

`|1(1)/(4)|=1.25`

`(3)/(4)=0.75`

`|-1(3)/(4)|=1(3)/(4)=1.75`

`-1(1)/(4)=-1.25`

Now we can arrange these numbers in ascending order.

-2.25 < -1.25 < 0.75 < 1.25 < 1.75 < 2.25

Therefore,
`-2(1)/(4)<-1(1)/(4)<(3)/(4)<|1(1)/(4)|<|-1(3)/(4)|<|-2(1)/(4)|`