Determine the approximate value that should replace the question mark (?) in the following mathematical equation. (You are not required to find the precise value.)

$(10.22\times 9.94)÷4.98-?=6.97$

The correct option is 13.

To find the approximate value that should replace the question mark (?), we can round each decimal number in the given equation to the nearest whole number (or integer) to simplify the calculations.

Let us analyze each term:

1. $10.22$ is very close to $10$.
2. $9.94$ is very close to $10$.
3. $4.98$ is very close to $5$.
4. $6.97$ is very close to $7$.

Now, substitute these approximate values back into the given equation:

$(10\times 10)÷5-?=7$

Follow the order of operations (BODMAS/PEMDAS) to solve step-by-step:

First, calculate the multiplication inside the parentheses:

$10\times 10=100$

Next, perform the division:

$100÷5=20$

Substitute this back into the equation:

$20-?=7$

To find the value of (?), isolate it on one side of the equation:

$?=20-7$

$?=13$

Therefore, the approximate value that replaces the question mark is 13.