1. Absolute Value
Evaluate each problem.
|-4|=___
|9|=___
-|16|=___
-|-6|=___
A valley is 94 feet below sea level. What is the absolute value of the elevation difference between the valley and the sea level?
Write the problem and evaluate.
|94|= 94
Wrong again!
-|-6| = -6
My apologies, you are correct. -|-6| does equal -6. Thank you for correcting me.
|-4|= 4
|9|= 9
-|16|= -16
-|-6|= 6
To evaluate absolute value problems, we need to understand the concept of absolute value. The absolute value of a number is its distance from zero on a number line, regardless of its sign. In other words, it gives the magnitude or size of a number without considering its positive or negative nature.
To find the absolute value of a number, we can simply remove the negative sign if it is negative or keep the positive sign if it is positive.
Now, let's evaluate each problem one by one:
1. |-4|
To find the absolute value of -4, we remove the negative sign and keep the number as it is. Therefore, |-4| is equal to 4.
Answer: |-4| = 4
2. |9|
The number 9 is already positive, so we keep it as it is. Therefore, |9| is equal to 9.
Answer: |9| = 9
3. -|16|
In this problem, we have a negative sign in front of the absolute value. To evaluate this, we first calculate the absolute value of 16, which is 16. Then, we add the negative sign to the result. Therefore, -|16| is equal to -16.
Answer: -|16| = -16
4. -|-6|
Here, we have a negative sign in front of the absolute value, which itself has a negative sign. To evaluate this, we first calculate the absolute value of -6, which is 6. Then, we add the negative sign to the result. Therefore, -|-6| is equal to -6.
Answer: -|-6| = -6
|-4|=4
|9|=9
-|16|=-16
-|-6|=6