Order the numbers from least to greatest based on their absolute values.

|23|, |−37|, |−6|, |18|, |−24|, |2|
a) 2 > 6 > 18 > 23 > 24 > 37
b) 2 < 6 < 18 < 23 < 24 < 37
c) −37 > −24 > −6 > 2 > 18 > 23
d) −37 < −24 < −6 < 2 < 18 < 23

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:

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.

∠cbe and ∠deb are same-side interior angles.

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