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]
