Fill in the blank.

[tex]\[ |-8.1| \ldots |0.7| \][/tex]

Choose one answer:
(A) [tex]$\ \textless \ $[/tex]
(B) [tex]$\ \textgreater \ $[/tex]
(C) [tex]$=$[/tex]



Answer :

Alright, let's solve the given problem of comparing the absolute values of [tex]\(-8.1\)[/tex] and [tex]\(0.7\)[/tex].

Step-by-step, we solve as follows:

1. Understand Absolute Value: The absolute value of a number is the distance between the number and 0 on a number line, regardless of direction. Therefore, it is always a non-negative number.

2. Calculate Absolute Values:
- Absolute value of [tex]\(-8.1\)[/tex]:
[tex]\[ |-8.1| = 8.1 \][/tex]
- Absolute value of [tex]\(0.7\)[/tex]:
[tex]\[ |0.7| = 0.7 \][/tex]

3. Comparison: Now, we need to compare [tex]\(8.1\)[/tex] and [tex]\(0.7\)[/tex]:
- Clearly, [tex]\(8.1 > 0.7\)[/tex]

4. Conclusion: Since [tex]\(8.1\)[/tex] is greater than [tex]\(0.7\)[/tex], it follows that:
[tex]\[ |-8.1| > |0.7| \][/tex]

Hence, the correct answer is:
(B) [tex]\(>\)[/tex]