Determine the approximate value that should replace the question mark (?) in the following expression (you are not required to calculate the exact value):

$899÷44.8\times 4.05\times 69.8=?$

The correct option is 5600.

To find the approximate value of the given mathematical expression, we can round each number to its nearest convenient whole number or simple decimal value.

The given expression is:

$899÷44.8\times 4.05\times 69.8=?$

Let us approximate each term individually:
• $899\approx 900$
• $44.8\approx 45$
• $4.05\approx 4$
• $69.8\approx 70$

Now, substitute these approximate values back into the expression:

$?\approx (900÷45)\times 4\times 70$

Step 1: Perform the division first according to the order of operations (BODMAS/PEMDAS):

$900÷45=20$

Step 2: Multiply the results together step-by-step:

$?\approx 20\times 4\times 70$

$?\approx 80\times 70$

$?\approx 5600$

Hence, the approximate value that should replace the question mark (?) is 5600.