Directions: Determine the approximate value that should replace the question mark (?) in the given expression:

$19.98\%\text{ of }40.05\%\text{ of }899+(8.97\times 14.99)=?\times 5.02$

The correct answer is 41.

We need to determine the approximate value of the question mark (?) in the following expression:

$19.98\%\text{ of }40.05\%\text{ of }899+(8.97\times 14.99)=?\times 5.02$

First, approximate each number to its nearest convenient integer or standard value:
• 19.98% ≈ 20%
• 40.05% ≈ 40%
• 899 ≈ 900
• 8.97 ≈ 9
• 14.99 ≈ 15
• 5.02 ≈ 5

Substitute these values back into the expression:

$20\%\text{ of }40\%\text{ of }900+(9\times 15)=?\times 5$

Step 1: Calculate the first part of the expression.

$40\%\text{ of }900=\frac{40}{100}\times 900=360$

$20\%\text{ of }360=\frac{20}{100}\times 360=72$

Step 2: Calculate the second part of the expression.

$9\times 15=135$

Step 3: Combine the results on the left-hand side.

$72+135=207$

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

$207=?\times 5$

$?=\frac{207}{5}=41.4$

Rounding 41.4 to the nearest whole number gives 41.