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

$19.98\%\text{ of }1250.04+\sqrt{1224.91}-33.31\%\text{ of }269.95=?$

The correct answer is 195.

We are given the following mathematical expression to approximate:

$19.98\%\text{of}1250.04+\sqrt{1224.91}-33.31\%\text{of}269.95=?$

Step 1: Round off each number to its nearest simple approximate value:
• $19.98\%\approx 20\%=\frac{1}{5}$
• $1250.04\approx 1250$
• $1224.91\approx 1225$
• $33.31\%\approx 33.33\%=\frac{1}{3}$
• $269.95\approx 270$

Step 2: Simplify each term individually:

First term:
$20\%\text{of}1250=\frac{1}{5}\times 1250=250$

Second term:
$\sqrt{1225}=35$

Third term:
$33.33\%\text{of}270=\frac{1}{3}\times 270=90$

Step 3: Combine all calculated values into the expression:

$?\approx 250+35-90$

$?\approx 285-90=195$

Hence, the approximate value that replaces the question mark is 195.