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The absolute value of any number is its distance from 0. -18.25 is 18.25 units from 0, so |-18.25| = 18.25, and by similar thinking, |10.75| = 10.75. Since 18.25 is bigger than 10.75, we can write |-18.25| > |10.75|

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Answer:

The correct answer is A. >

Step-by-step explanation:

The first thing to take into account is that the sign  |  | refers to absolute value. The absolute value consists of making any number inside positive. It doesn't matter if the number inside is positive or negative the result will be always positive. Let's see an example.

[tex]|8|=8[/tex]

[tex]|-8|=8[/tex]

As you can see, the result for [tex]|8|[/tex] is the same for [tex]|-8|[/tex] which is [tex]8[/tex].

With that in time, let's make the same procedure for [tex]|-18.25|\, \, \, \, \, |10.75|[/tex]

According to the previous the first and second numbers would be:

  1. [tex]|-18.25|=18.25[/tex]
  2. [tex]|10.75|=10.75[/tex]

As [tex]18.25[/tex] is higher than [tex]10.75[/tex] ([tex]18.25 > 10.75[/tex]), the answer is [tex]|-18.25|>|10.75|[/tex].

Thus, the correct answer is A. >

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