`3034- (1002 -: 20.04) ` is equal to :

Options

A. 2543
B. 2984
C. 2993
D. 3029

Answer

To solve the expression \( 3034 - (1002 \div 20.04) \), we will follow these steps:

### Step 1: Simplify the division inside the parentheses
We need to calculate \( 1002 \div 20.04 \).

\[ 1002 \div 20.04 = \frac{1002}{20.04} \]

### Step 2: Remove the decimal by multiplying both the numerator and denominator by 100
To make the division easier, we can eliminate the decimal by multiplying both the numerator and the denominator by 100:

\[ \frac{1002 \times 100}{20.04 \times 100} = \frac{100200}{2004} \]

### Step 3: Simplify the fraction
Now we will simplify \( \frac{100200}{2004} \). We can divide both the numerator and denominator by 2004:

\[ 100200 \div 2004 = 50 \]

### Step 4: Substitute back into the original expression
Now we can substitute this value back into the original expression:

\[ 3034 - 50 \]

### Step 5: Perform the subtraction
Now we perform the subtraction:

\[ 3034 - 50 = 2984 \]

### Final Answer
Thus, the final result is:

\[ \boxed{2984} \]

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