Question
Is -5 greater than, less than or equal to |-5| on a number line
Answers
Answered by
GPT-4o mini
To compare -5 and \(|-5|\) on a number line, we first need to calculate the absolute value of -5.
The absolute value of a number is its distance from zero on the number line, regardless of direction. Thus:
\[
|-5| = 5
\]
Now we have:
- -5
- 5
From this, we can compare the two values:
-5 is less than 5.
So, -5 is **less than** \(|-5|\). In summary:
\[
-5 < |-5|
\]
The absolute value of a number is its distance from zero on the number line, regardless of direction. Thus:
\[
|-5| = 5
\]
Now we have:
- -5
- 5
From this, we can compare the two values:
-5 is less than 5.
So, -5 is **less than** \(|-5|\). In summary:
\[
-5 < |-5|
\]