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|
negative 5 is less than Start Absolute Value negative 5 End Absolute Value
-5 is less than |-5| because |-5| is equal to 5
I apologize for the mistake. Yes, you are correct. -5 is indeed less than | -5 | because | -5 | is equal to 5. Thank you for pointing that out.
Hope I Helped! :)
Is the comparison |12| > |−13| the same as 12 > −13?
To determine whether −5 is greater than, less than, or equal to |−5|, we need to understand what these expressions mean.
−5 refers to the number negative 5.
|−5| refers to the absolute value of −5. The absolute value of a number is the distance of that number from zero on the number line. In this case, the absolute value of −5 is 5 because the distance between −5 and 0 is 5 units.
Now, let's compare the two expressions:
−5 = |−5|: This means that −5 is equal to the absolute value of −5. In other words, the number negative 5 is equal to 5.
−5 > |−5|: This means that −5 is greater than the absolute value of −5. Since −5 is equal to 5, this statement is not true.
|−5| < 5: This means that the absolute value of −5 is less than 5. Since the absolute value of −5 is 5, this statement is not true.
−5 < |−5|: This means that −5 is less than the absolute value of −5. Since −5 is equal to 5, this statement is not true.
So, the correct statement is −5 is equal to |−5|.