Place value refers to the value of a digit based on its position within a number. In our decimal (base-10) number system, each position represents a power of 10. For example, in the number 345:

• The 5 is in the "ones" place, so it represents 5.
• The 4 is in the "tens" place, so it represents 40 (4 × 10).
• The 3 is in the "hundreds" place, so it represents 300 (3 × 100).

Each digit's place determines its contribution to the overall value of the number. Moving left increases the place value by powers of 10, while moving right decreases it.

Would you like more examples or further clarification?

Here are 5 questions to explore place value further:

1. What is the place value of the digit 7 in the number 7,896?
2. How does place value change in decimal numbers, like 0.456?
3. What is the value of the digit 5 in the number 50,123?
4. Can you explain the place value of a number in a different base, like base-2 (binary)?
5. How does place value help in rounding numbers?

Tip: Knowing place value is essential for performing operations like addition, subtraction, and rounding efficiently.