Question

6) 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 <618 < 23 < 24 < 37
C) -37-24> -6>2 > 18 >23
D) -37<-24 <-6 < 2 < 18 < 23

Answer 1

To order the numbers from least to greatest based on their absolute values, we need to ignore the negative signs and compare the values as if they were positive.

The absolute values of the numbers are:

|23|, |-37|, |-6|, |18|, |-24|, |2|

= 23, 37, 6, 18, 24, 2

From least to greatest, the absolute values of the numbers are:

2, 6, 18, 23, 24, 37

Now we need to put the negative signs back in the correct order:

|2|, |-6|, |18|, |23|, |-24|, |-37|

Therefore, the correct order of the numbers from least to greatest based on their absolute values is:

|2|, |-6|, |18|, |23|, |-24|, |-37|

Answer: B) 2 &It;618 &It; 23 < 24 &It; 37