Which of the following statements is true?(1 point)
Responses
|−40| ≠ |40|
Start Absolute Value negative 40 End Absolute Value is not equal to Start Absolute Value 40 End Absolute Value
|−40| > |40|
Start Absolute Value negative 40 End Absolute Value is greater than Start Absolute Value 40 End Absolute Value
|−40| = |40|
Start Absolute Value negative 40 End Absolute Value equals Start Absolute Value 40 End Absolute Value
|−40| < |40|
Start Absolute Value negative 40 End Absolute Value is less than Start Absolute Value 40 End Absolute Value
Which statement is true?(1 point)
Responses
|−9| ≠ |9|
Start Absolute Value negative 9 End Absolute Value is not equal to Start Absolute Value 9 End Absolute Value
|−8| > |−9|
Start Absolute Value negative 8 End Absolute Value is greater than Start Absolute Value negative 9 End Absolute Value
|9| > |−9|
Start Absolute Value 9 End Absolute Value is greater than Start Absolute Value negative 9 End Absolute Value
|−9| > |−8|
Start Absolute Value negative 40 End Absolute Value is less than Start Absolute Value 40 End Absolute Value
To determine which statement is true, we need to compare the absolute values of -40 and 40.
The absolute value of a number is its distance from zero on a number line. It is always positive, so the absolute value of -40 is 40.
Based on this, we can now evaluate the given statements:
- |−40| ≠ |40|: This statement is true since the absolute value of -40 is not equal to the absolute value of 40.
- |−40| > |40|: This statement is false since the absolute value of -40 is not greater than the absolute value of 40.
- |−40| = |40|: This statement is false since the absolute value of -40 is not equal to the absolute value of 40.
- |−40| < |40|: This statement is false since the absolute value of -40 is not less than the absolute value of 40.
Therefore, the only true statement is: |−40| ≠ |40|.