In mathematics, place value is the value assigned to a digit based on its position within a number. It determines how much a digit is worth depending on where it is placed in the number system, typically base-10 (decimal system). For example, in the number 456, the digit 4 is in the hundreds place, so its place value is 400; the digit 5 is in the tens place, so its place value is 50; and the digit 6 is in the ones place, so its place value is 6
. Value of a digit (often called face value) is simply the digit itself, regardless of its position. For example, the face value of 4 in 456 is 4, but its place value is 400 because it is in the hundreds place
Summary:
- Place Value: The value of a digit depending on its position in the number. Calculated by multiplying the digit by the power of 10 corresponding to its place.
- Value (Face Value): The digit itself without considering its position.
Understanding place value is essential for reading, writing, and performing arithmetic operations accurately, as it clarifies the contribution of each digit in a number
