Definition:

Place value is the value of a digit depending on its position in a number. Each position in a number has a different place value, such as ones, tens, hundreds, thousands, etc.

When we identify the place value of a specific digit, we consider its position to determine its value in the entire number.

Example 1:

Find the place value of the bold digit in the number 3,476.

Solution:

• The bold digit is 4 in the thousands place.
• The place value of 4 in this number is 4,000.

Final solution: The place value of the bold digit 4 is 4,000.

Example 2:

Find the place value of the bold digit in the number 5,693.

Solution:

• The bold digit is 5 in the thousands place.
• The place value of 5 is 5,000.

Final solution: The place value of the bold digit 5 is 5,000.

Example 3:

Find the place value of the bold digit in the number 7,852.

Solution:

• The bold digit is 8 in the hundreds place.
• The place value of 8 is 800.

Final solution: The place value of the bold digit 8 is 800.

Example 4:

Find the place value of the bold digit in the number 6,423.

Solution:

• The bold digit is 3 in the one's place.
• The place value of 3 is 3.

Final solution: The place value of the bold digit 3 is 3.

Example 5:

Find the place value of the bold digit in the number 25,178.

Solution:

• The bold digit is 2 in the ten thousand places.
• The place value of 2 is 20,000.

Final solution: The place value of the bold digit 2 is 20,000.

Why it matters: