Question

Label Them to Least to greatest; | = absolute value ......-2 1/4 , 3/4 ,|-2 1/4| , | 1 1/4| ,| -1 3/4| ,-1 1/4

Answer 1

Label Them to Least to greatest

-2.25, -1.25, 0.75, 1.25, 1.75, 2.25

Solution:

We have to order from least to greatest

Given are:

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

Absolute value means  magnitude of a quantity without regard to sign

Therefore, convert them into decimal for easier comparisons

$\rightarrow -2\frac{1}{4} = -\frac{4 \times 2+1}{4} = -\frac{9}{4} = -2.25$

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

$\rightarrow |-2\frac{1}{4}| = 2\frac{1}{4} = \frac{9}{4} = 2.25$

$\rightarrow |1\frac{1}{4}| = 1\frac{1}{4} = \frac{5}{4} = 1.25$

$\rightarrow |-1\frac{3}{4}| = 1\frac{3}{4} = \frac{7}{4} = 1.75$

$\rightarrow -1 \frac{1}{4} = -\frac{5}{4} = -1.25$

Arrange them from least to greatest

-2.25 is the most negative and so it is the smallest

-2.25, -1.25, 0.75, 1.25, 1.75, 2.25

Thus the ascending order is found