Directions: Determine the approximate value that should replace the question mark (?) in the given expression.

$62.5\%\text{of}799.84=6300.24÷6.98-(?\times 2.01)$

The correct option is 200.

We are given the following expression to approximate:

$62.5\%\text{of}799.84=6300.24÷6.98-(?\times 2.01)$

To find the approximate value of the question mark (?), we round each number in the expression to its nearest convenient value:

1. Convert $62.5\%$ into a fraction:

$62.5\%=\frac{62.5}{100}=\frac{5}{8}$

2. Round $799.84$ to $800$.
Now evaluate the left side of the equation:

$\frac{5}{8}\times 800=500$

3. Round $6300.24$ to $6300$ and $6.98$ to $7$.
Now perform the division:

$6300÷7=900$

4. Round $2.01$ to $2$.

Substitute these values back into the expression:

$500=900-(?\times 2)$

Rearrange the equation to solve for ?:

$?\times 2=900-500$

$?\times 2=400$

$?=\frac{400}{2}=200$

Thus, the approximate value that should replace the question mark (?) is 200.