Determine the approximate value that should replace the question mark (?) in the mathematical expression below.

$\frac{87.01\times 7.98}{?}+7.99\%\text{of}1149.98={\left(}^{18.01}$

The correct answer is Option 3 (which is 3).

To find the approximate value that should replace the question mark (?), we can round each number in the expression to its nearest integer for simplified calculation.

Let us approximate the given numbers:

87.01 ≈ 87

7.98 ≈ 8

7.99% ≈ 8%

1149.98 ≈ 1150

18.01 ≈ 18

Now, substitute these approximate values back into the expression:

$\frac{87\times 8}{?}+8\%\text{of}1150={18}^2$

Step 1: Calculate each individual part of the equation.

Numerator: 87 × 8 = 696

Percentage term: 8% of 1150 = (8 / 100) × 1150 = 92

Right-hand side: 18² = 324

Step 2: Substitute these simplified values into the equation:

$\frac{696}{?}+92=324$

Step 3: Subtract 92 from both sides of the equation:

$\frac{696}{?}=324-92$

$\frac{696}{?}=232$

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

$?=\frac{696}{232}$

$?=3$

Therefore, the value that should replace the question mark (?) is approximately 3.