Is −5

greater than, less than, or equal to |−5| ?(1 point)
Responses

−5 is equal to |−5|
negative 5 is equal to Start Absolute Value negative 5 End Absolute Value

−5 is greater than |−5|
negative 5 is greater than Start Absolute Value negative 5 End Absolute Value

|−5| is less than 5
Start Absolute Value negative 5 End Absolute Value is less than 5

−5 is less than |−5|

1 answer

To compare \( -5 \) and \( |−5| \), we need to first calculate the absolute value of \(-5\).

The absolute value of a number is its distance from zero on the number line, without considering its direction (positive or negative).

So,

\[ |−5| = 5 \]

Now we can compare:

  • \( -5 \) is less than \( 5 \).

Therefore, the correct statement is:

−5 is less than |−5|.