Find the approximate value that should replace the question mark (?) in the equation below.

$(15.02\times 12)÷11.99+{24.78}^2=?$

The correct answer is 640.

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:

$15.02\approx 15$

$11.99\approx 12$

$24.78\approx 25$

Now, substitute these approximate values into the original expression:

$(15.02\times 12)÷11.99+{24.78}^2\approx (15\times 12)÷12+{25}^2$

Simplifying the expression step-by-step:

Step 1: Simplify the first part of the expression:

$(15\times 12)÷12=15$

Step 2: Calculate the square term:

${25}^2=625$

Step 3: Add the calculated terms together:

$15+625=640$

Therefore, the approximate value that replaces the question mark is 640.