Find the simplified value of 5055 − (1002 ÷ 20.04).

The correct answer is 5005.

We need to find the simplified value of 5055 − (1002 ÷ 20.04).

Following the BODMAS/PEMDAS rule, we solve the expression inside the brackets (parentheses) first — that is, the division part.

Step 1: Simplify 1002 ÷ 20.04

To make the division easier, multiply both the numerator and denominator by 100 to eliminate the decimal:

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

Now simplify by dividing both numerator and denominator by 2004:

\frac{100200}{2004}=50

So, 1002 ÷ 20.04 = 50.

Step 2: Subtract the result from 5055

5055-50=5005

Therefore, the simplified value of 5055 − (1002 ÷ 20.04) = 5005.