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The problem is to evaluate the expression $184.75 - 4[26.24 - 3\{12.84 - (6.4 + 3.5)\}]$.

ArithmeticOrder of OperationsPEMDASArithmetic ExpressionsDecimal Arithmetic
2025/5/25

1. Problem Description

The problem is to evaluate the expression 184.75−4[26.24−3{12.84−(6.4+3.5)}]184.75 - 4[26.24 - 3\{12.84 - (6.4 + 3.5)\}].

2. Solution Steps

We follow the order of operations (PEMDAS/BODMAS) to simplify the expression.
First, evaluate the innermost parentheses:
6.4+3.5=9.96.4 + 3.5 = 9.9
Next, evaluate the expression within the curly braces:
12.84−9.9=2.9412.84 - 9.9 = 2.94
Now, evaluate the expression within the square brackets:
26.24−3{2.94}=26.24−3(2.94)=26.24−8.82=17.4226.24 - 3\{2.94\} = 26.24 - 3(2.94) = 26.24 - 8.82 = 17.42
Finally, multiply by 4 and subtract from 184.75:
184.75−4[17.42]=184.75−4(17.42)=184.75−69.68=115.07184.75 - 4[17.42] = 184.75 - 4(17.42) = 184.75 - 69.68 = 115.07

3. Final Answer

The final answer is 115.07.

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