Evaluate: |4 - 8(3 - 12)| - |5 - 11| =
What is 8/3 ÷4
|4 - 8(3 - 12)| - |5 - 11|
|4 - 8(-9)| - |-6|
|4-(-72)|-6
|4+72|-6
|76|-6
76-6
70
To evaluate the expression |4 - 8(3 - 12)| - |5 - 11|, we follow the order of operations (also known as PEMDAS):
1. Simplify the expressions within the parentheses:
- 3 - 12 = -9
2. Multiply:
- 8 * -9 = -72
3. Subtract the product from the value inside the first absolute value signs:
- |4 - (-72)| = |4 + 72| = |76| = 76
4. Find the difference between 5 and 11:
- 5 - 11 = -6
5. Subtract the difference from the value inside the second absolute value signs:
- |76| - |-6| = 76 - 6 = 70
Therefore, evaluating |4 - 8(3 - 12)| - |5 - 11| gives the result of 70.