Directions: What approximate value should come in place of question mark($x$) in the following questions? (NOTE: You are not expected to calculate the exact value). $19.99 \times 15.98 + 224.98 + 125.02 = x$

### Concept & Rule This question tests **Decimal Rounding** paired with foundational **BODMAS** application. By rounding each decimal component to its nearest whole number, the complex arithmetic collapses into a standard primary-school level multiplication and addition problem. ### Step-by-Step Solution **Calculation:** Step 1: Round all values to their nearest integers. * $19.99 \approx 20$ * $15.98 \approx 16$ * $224.98 \approx 225$ * $125.02 \approx 125$ Step 2: Rewrite the equation using the approximated integers. $$ 20 \times 16 + 225 + 125 = x $$ Step 3: Apply BODMAS and perform the multiplication first. $$ 320 + 225 + 125 = x $$ Step 4: Perform the addition. Group friendly numbers first. $$ 225 + 125 = 350 $$ $$ 320 + 350 = 670 $$ ### Exam Strategy & Shortcut **Complementary Addition:** When adding up the final string of numbers $320 + 225 + 125$, look for "complements" that round out nicely. The 25 from 225 and the 25 from 125 instantly form a 50, and $200+100=300$. So the right block is 350. Adding $320 + 350$ takes less than a second mentally. Always look for tens or hundreds pairings before doing column addition. ### Common Pitfall The danger here is neglecting BODMAS. A student rushing might add $16 + 225 = 241$, and then multiply by 20. Multiplication must always happen before addition, even in approximation problems. ### Final Answer **Therefore, the correct answer is 670.**