Solve the mathematical problem involving absolute value.

Question

2−|1/3⋅−9|−5

Answer 1

To solve this problem, we need to follow the order of operations (PEMDAS) and evaluate the absolute value first, then perform the subtraction and addition:

First, let's solve the absolute value:

|1/3⋅−9| = |−3|

The absolute value of -3 is 3:

|1/3⋅−9| = 3

Now, let's substitute this value back into the original problem:

2 − 3 − 5

Next, perform the subtraction:

2 - 3 = -1

Now, substitute this value back into the remaining expression:

-1 - 5 = -6

Therefore, the solution to the problem 2−|1/3⋅−9|−5 is -6.