564.666 +82.5091 `times` 44.581 -34.111=?

Options

A. 28450
B. 4210
C. 1600
D. 14225

Answer

To solve the expression \( 564.666 + 82.5091 \times 44.581 - 34.111 \), we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Identify the operations**: The expression contains addition, multiplication, and subtraction. According to the order of operations, we need to perform the multiplication first.

2. **Perform the multiplication**:
\[ 82.5091 \times 44.581 \]
Calculating this gives:
\[ 82.5091 \times 44.581 = 3678.33819 \]

3. **Rewrite the expression**: Now substitute the result of the multiplication back into the expression:
\[ 564.666 + 3678.33819 - 34.111 \]

4. **Perform the addition**:
\[ 564.666 + 3678.33819 \]
To add these, we can align the decimal points:
\[ \begin{array}{r} 564.66600 \\ + 3678.33819 \\ \hline 4243.00419 \\ \end{array} \]

5. **Perform the subtraction**:
Now subtract \(34.111\) from \(4243.00419\):
\[ 4243.00419 - 34.111 \]
Again, align the decimal points:
\[ \begin{array}{r} 4243.00419 \\ - 34.11100 \\ \hline 4208.89319 \\ \end{array} \]

6. **Final result**:
The final answer is:
\[ 4208.89319 \]