What is the place value of $5$ in $3254710$?

### Concept & Logic The **place value** of a digit in a number depends on its position. It is calculated by multiplying the digit's **face value** by its positional multiplier. $$\text{Place Value} = \text{Face Value} \times \text{Position Value}$$ ### Step-by-Step Solution **Given:** The number is $3254710$ and we need the place value of the digit $5$. **Calculation:** 1. Identify the position of $5$ starting from the right (units, tens, hundreds, thousands, ten-thousands). 2. The digit $5$ is in the **ten-thousands** position. 3. Multiply the face value ($5$) by the position value ($10000$). $$5 \times 10000 = 50000$$ ### Exam Strategy & Shortcut Locate the digit $5$ and simply replace all digits to its right with zeros. Since there are four digits after $5$ in $3254710$, add four zeros to get $50000$ instantly. ### Common Pitfall Students often confuse **place value** with **face value** and mistakenly choose $5$ (Option A). Always remember that place value includes the trailing zeros based on position. ### Final Answer Therefore, the correct answer is **50000**.