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 answer is Option 13.

To find the approximate value that should replace the question mark (?), we can round each decimal number in the given mathematical equation to its nearest whole number or easy-to-calculate value.

Let's analyze the given equation:

$(10.22\times 9.94)÷4.98-?=6.97$

Step 1: Round each number to the nearest integer for approximation:

• 10.22 ≈ 10
• 9.94 ≈ 10
• 4.98 ≈ 5
• 6.97 ≈ 7

Step 2: Substitute the approximated values into the equation:

$(10\times 10)÷5-?=7$

Step 3: Simplify using the BODMAS rule (Brackets first, then Division):

Calculate the bracket first:

$10\times 10=100$

Next, perform the division:

$100÷5=20$

Step 4: Solve for the question mark (?):

$20-?=7$

$?=20-7$

$?=13$

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