$4848 \div 24 \times 11 - 222 = x$

Concept & Formula This simplification problem strictly follows the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction). Operations must be executed left-to-right for Division and Multiplication in the sequence they appear if not bracketed, but Division takes precedence here. Step-by-Step Solution * Given expression: $$ 4848 \div 24 \times 11 - 222 $$ * Step 1: Perform the Division first: $$ \frac{4848}{24} = 202 $$ * (You can quickly see $48 \div 24 = 2$ and $48 \div 24 = 2$, putting a zero in between gives $202$). * Step 2: Substitute back and perform the Multiplication: $$ 202 \times 11 - 222 $$ $$ 202 \times 11 = 2222 $$ * Step 3: Perform the final Subtraction: $$ 2222 - 222 = 2000 $$ Exam Strategy & Shortcut **Multiplication by 11 Rule:** When you reach $202 \times 11$, use the standard shortcut for multiplying by $11$: write the outer digits, and insert the sums of adjacent digits in between. $2$, $(2+0)$, $(0+2)$, $2 \Rightarrow 2222$. Subtracting $222$ from $2222$ immediately yields $2000$ visually without needing scratchpad math. Common Pitfall A major pitfall is executing the division incorrectly. Students often calculate $4848 \div 24$ as $22$ instead of $202$ by forgetting to insert the zero placeholder when bringing down the next digit. This leads to entirely wrong subsequent calculations. Final Answer **Therefore, the correct answer is 2000.**