Question

Cheryl is sailing on Lake Superior. A shipwreck lies below her and its location is represented by a negative amount. A helicopter is flying above her and its location is represented by a positive amount. The shipwreck is a greater distance from Cheryl than the helicopter. Which expression could represent a comparison of the possible absolute values of the shipwreck and helicopter?

A) |–125| < |45|
B) |–98.5| < |23.7|
C) |–174.6| > |204|
D) |–362.5| > |45.8|

Answer 1

Answer:

D

Step-by-step explanation:

To solve this, we can go through each answer and see if it is correct.

A)

|–125| < |45|

When comparing absolute values, and the absolute value signs (the | lines) are only around one number, we can ignore the negative. Thus, we have

125 < 45

125 is greater than 45, so this is false

B)

|–98.5| < |23.7|

98.5 < 23.7

98.5 is greater than 23.7, so this is false

C)

|–174.6| > |204|

174.6 > 204

174.6 is less than 204, so this is false

D)

|–362.5| > |45.8|

362.5 > 45.8

362.5 is greater than 45.8, so this is true