Place value refers to the value of each digit in a number based on its position. In whole numbers, digits are placed in powers of ten, starting from the rightmost digit (units place) and increasing to the left. Here's how it works:

Example:

Consider the number 5,836.

• 6 is in the ones place, so its value is 6 × 1 = 6.
• 3 is in the tens place, so its value is 3 × 10 = 30.
• 8 is in the hundreds place, so its value is 8 × 100 = 800.
• 5 is in the thousands place, so its value is 5 × 1,000 = 5,000.

The place value system assigns each digit a specific value based on its position, which is determined by powers of 10:

• Ones place = $10^0$
• Tens place = $10^1$
• Hundreds place = $10^2$
• Thousands place = $10^3$

Expanded form for 5,836:

$5,000 + 800 + 30 + 6$

Each number can be expressed as the sum of its digits, multiplied by their place value.

Do you want more details or have any questions?

Here are 5 related questions for further practice:

1. What is the place value of the digit 7 in the number 7,452?
2. How would you express the number 64,029 in expanded form?
3. What is the difference between the place value of 3 in 3,567 and 3,213?
4. How many digits can be placed in the thousands place in a whole number?
5. What is the place value of the digit 9 in 987,654?

Tip: Understanding place value is essential when performing operations like addition, subtraction, and rounding.