Solve the mathematical problem involving absolute value.
2 - | 1/3 × -9| - 5
First, we need to simplify the expression inside the absolute value brackets:
1/3 × -9 = -3
Now, we can substitute this value into the original expression:
2 - | -3| - 5
Next, we evaluate the absolute value of -3 (which is 3):
2 - 3 - 5
Now, we simplify the expression by performing the subtraction operations from left to right:
-1 - 5
Finally, we combine the like terms:
-6
Therefore, the solution to the given expression is -6.
To solve the mathematical problem involving absolute value, let's break it down step-by-step:
Step 1: Simplify the expression inside the absolute value bars
1/3 × -9 = -3
Step 2: Find the absolute value of -3
| -3 | = 3
Step 3: Substitute the result from step 2 back into the original problem
2 - | 1/3 × -9| - 5 = 2 - 3 - 5
Step 4: Simplify the expression
2 - 3 - 5 = -6
Therefore, the solution to the mathematical problem 2 - | 1/3 × -9| - 5 is -6.
To solve the mathematical problem involving absolute value, follow these steps:
Step 1: Evaluate the expression inside the absolute value: |1/3 × -9|
- First, multiply 1/3 by -9: (1/3) × (-9) = -3
Step 2: Take the absolute value of the result (which is -3): | -3 | = 3
Step 3: Substitute the absolute value result back into the original expression: 2 - 3 - 5
Step 4: Simplify the expression: 2 - 3 - 5 = -6
Therefore, the solution to the mathematical problem involving absolute value 2 - | 1/3 × -9| - 5 is -6.