Answer:
-4,-4,-4,-4,-2,-2,-2,-2,3,3,3,3,3,|5|,|5|,|5|,5,|6||6||-6||-6|
Numbers' absolute values are outputted as non-negative numbers. The arrangement of given numbers from least to greatest is: Option A: -4, -2, 3, |5|, |-6|
Modulus of a real number, also called absolute value, is non-negative result of the input value.
This is defined as:
[tex]|x| = x ; \text{ (x is non-negative)}\\\\|x| = -x ; \text{ (x is negative)}[/tex](so that the outer negative makes the negative number positive).
Example:
[tex]|5| = 5\\|-5| = -(-5) = 5[/tex]
A number has both magnitude(its absolute value) and its sign(positive or negative).
If numbers are negative, the more their magnitude increases, the lesser they become.
If numbers are positive, the more their magnitude increases, the greater they become.
Thus, for -5, the magnitude is 5, and sign is –ve.
Also, positive numbers > 0 > negative numbers.
For given case, we get:
Arranging, we get:
-4 < -2 < 3 < 5 < 6
or
-4 < -2 < 3 < |5| < |-6|
Thus,
The arrangement of given numbers from least to greatest is: Option A: -4, -2, 3, |5|, |-6|
Learn more about absolute values here:
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