The sum of the place values of $3$ in the number $503535$ is

### Concept & Logic To find the sum of multiple place values for a repeating digit, determine the positional value of each occurrence separately and add them together. ### Step-by-Step Solution **Given:** The number is $503535$ and we need the sum of the place values of all $3$s. **Calculation:** 1. Locate the first $3$ (from left to right): It is in the thousands place. Its place value is $3000$. 2. Locate the second $3$: It is in the tens place. Its place value is $30$. 3. Add the extracted place values together: $$3000 + 30 = 3030$$ ### Exam Strategy & Shortcut Write down the original number and simply replace every digit that is *not* a $3$ with a $0$. $503535 \rightarrow 003030$. Dropping the leading zeros gives you the answer $3030$ instantly. ### Common Pitfall A common trap is adding the **face values** instead of place values ($3 + 3 = 6$) or missing a positional zero (getting $3300$). Always align numbers properly when adding visually. ### Final Answer Therefore, the correct answer is **3030**.