1 Answer

Wasif Saood · Answer 1 · 2021-06-13T01:23:18+0000

-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

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