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Evaluating the Expression: 165/8 + (-19) × (-17 × 6 - (-10 × 4))
In this article, we will evaluate the given expression step by step. The expression is:
165/8 + (-19) × (-17 × 6 - (-10 × 4))
Step 1: Evaluate the expressions inside the parentheses
First, let's evaluate the expressions inside the parentheses:
(-10 × 4) = -40 (-17 × 6) = -102
So, the expression becomes:
165/8 + (-19) × (-102 - (-40))
Step 2: Simplify the expression further
Now, let's simplify the expression further:
(-102 - (-40)) = -102 + 40 = -62
So, the expression becomes:
165/8 + (-19) × (-62)
Step 3: Evaluate the multiplication
Next, let's evaluate the multiplication:
(-19) × (-62) = 1178
So, the expression becomes:
165/8 + 1178
Step 4: Evaluate the division
Now, let's evaluate the division:
165/8 = 20.625
So, the expression becomes:
20.625 + 1178
Step 5: Evaluate the final addition
Finally, let's evaluate the final addition:
20.625 + 1178 = 1198.625
Therefore, the final result of the expression is:
1198.625
By following the order of operations (PEMDAS) and evaluating the expressions step by step, we have successfully evaluated the given expression.
