Absolute Value Quick Check
5 of 55 of 5 Items
Question
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
|9| > |−9|
Start Absolute Value 9 End Absolute Value is greater than Start Absolute Value negative 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| > |−8|
Start Absolute Value negative 9 End Absolute Value is greater than Start Absolute Value negative 8 End Absolute Value
Start Absolute Value negative 9 End Absolute Value is greater than Start Absolute Value negative 8 End Absolute Value
To determine which statement is true among the given options, we need to understand how to compare absolute values. The absolute value of a number is its distance from zero on a number line, and it is always positive.
To compare two absolute values, we need to consider their magnitudes. In other words, we need to compare the numbers without their sign.
- Option 1: |−9| ≠ |9|
To evaluate this statement, we find the absolute values of -9 and 9. Both absolute values are equal to 9, so this statement is false.
- Option 2: |9| > |−9|
To evaluate this statement, we find the absolute values of 9 and -9. The absolute value of 9 is 9, and the absolute value of -9 is also 9. Since 9 is greater than -9, this statement is true.
- Option 3: |−8| > |−9|
To evaluate this statement, we find the absolute values of -8 and -9. The absolute value of -8 is 8, and the absolute value of -9 is 9. Since 9 is greater than 8, this statement is true.
- Option 4: |−9| > |−8|
To evaluate this statement, we find the absolute values of -9 and -8. The absolute value of -9 is 9, and the absolute value of -8 is 8. Since 9 is greater than 8, this statement is true.
Therefore, the correct statement is:
|9| > |−9|