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

Absolute value means magnitude of a quantity without regard to sign

Therefore, convert them into decimal for easier comparisons

`\rightarrow -2(1)/(4) = -(4 * 2+1)/(4) = -(9)/(4) = -2.25`

`\rightarrow (3)/(4) = 0.75`

`\rightarrow |-2(1)/(4)| = 2(1)/(4) = (9)/(4) = 2.25`

`\rightarrow |1(1)/(4)| = 1(1)/(4) = (5)/(4) = 1.25`

`\rightarrow |-1(3)/(4)| = 1(3)/(4) = (7)/(4) = 1.75`

`\rightarrow -1 (1)/(4) = -(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