Step-by-Step Evaluation of the Expression
Let's evaluate the expression: -6 - 4 + 2 + 5 - 2 + 2 + 5 × -2. We will solve this step by step, remembering the order of operations.
- Identify the order of operations: According to the order of operations (PEMDAS/BODMAS), we first need to handle any multiplication or division before summation or subtraction.
- Resolve the multiplication: In our expression, we see 5 × -2. This equals:
5 × -2 = -10
- Rewrite the expression: Now, substitute this result back into the expression:
-6 - 4 + 2 + 5 - 2 + 2 - 10
- Simplify step by step: Now, we will simplify this expression from left to right:
- -6 - 4 = -10
- -10 + 2 = -8
- -8 + 5 = -3
- -3 - 2 = -5
- -5 + 2 = -3
- -3 - 10 = -13
- Final Calculation: After performing all operations, we find:
The final result is: -13
Thus, the evaluated expression is -13.