Question

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

Answer 1

Answer:

$-2\frac{1}{4}<-1\frac{1}{4}<\frac{3}{4}<|1\frac{1}{4}|<|-1\frac{3}{4}|<|-2\frac{1}{4}|$

Step-by-step explanation:

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

Therefore, $|-2\frac{1}{4}|=2\frac{1}{4}$ = 2.25

$-2\frac{1}{4}=-2.25$

$|1\frac{1}{4}|=1.25$

$\frac{3}{4}=0.75$

$|-1\frac{3}{4}|=1\frac{3}{4}=1.75$

$-1\frac{1}{4}=-1.25$

Now we can arrange these numbers in ascending order.

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

Therefore, $-2\frac{1}{4}<-1\frac{1}{4}<\frac{3}{4}<|1\frac{1}{4}|<|-1\frac{3}{4}|<|-2\frac{1}{4}|$