**Place value** refers to the value of a digit depending on its position in a number. In our base-10 number system, each place represents a power of 10, with the value increasing as we move from right to left.

For example, consider the number **4,836**:
- The digit **6** is in the **ones** place, so its value is **6 × 1 = 6**.
- The digit **3** is in the **tens** place, so its value is **3 × 10 = 30**.
- The digit **8** is in the **hundreds** place, so its value is **8 × 100 = 800**.
- The digit **4** is in the **thousands** place, so its value is **4 × 1,000 = 4,000**.

Thus, the value of each digit is determined by its position.

Would you like more details or have any specific questions?

Here are 5 questions related to place value:
1. What is the place value of the digit 5 in the number 52,436?
2. How does the place value system change in a base other than 10 (e.g., base 2)?
3. What is the total value of the number 7,843 based on place value?
4. How do you determine place value for decimals, such as in the number 23.456?
5. What is the place value of each digit in the number 506,079?

**Tip:** Place value is crucial when rounding numbers, as it helps determine which digits to adjust.

Explore the concept of place value in the base-10 number system, breaking down each digit’s role based on its position. Using the number 4,836 as an example, understand how digits represent powers of 10. This lesson is perfect for students in Grades 3-5 and provides insights into real-world number applications.

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