Answer:
A) 2>6>18>23>24>37
Step-by-step explanation:
We are asked to order the given numbers from least to greatest based on their absolute values.
|23|, |−37|, |−6|, |18|, |−24|, |2|
Since we know that absolute value stands for the magnitude of a real number without regard to its sign (positive or negative). Absolute value tells us how far a number is from 0 on the number line.
As absolute value is always taken as positive, so we can rewrite our given number as:
[tex]|23|=23[/tex]
[tex]|-37|=37[/tex]
[tex]|-6|=6[/tex]
[tex]|18|=18[/tex]
[tex]|-24|=24[/tex]
[tex]|2|=2[/tex]
So we can order our numbers from least to greatest based on their absolute values as:
2>6>18>23>24>37
Therefore, option A is the correct choice.
