The place value and face value of a digit are always equal when the digit is in the ones place.
To understand this, let’s define both terms:
- Face Value: This is the actual value of the digit itself, regardless of its position in a number. For example, in the number 345, the face value of ‘5’ is 5.
- Place Value: This is the value of the digit depending on its position in the number. Continuing with the example of 345, the place value of ‘5’ is 5 as it is in the ones place.
In all other places, the place value will be greater than the face value. For instance, in the number 345, the place value of ‘4’ is 40 (since it is in the tens place), and the place value of ‘3’ is 300 (in the hundreds place). However, in the ones place, both the place value and face value of ‘5’ remain equal, completing our understanding of this concept.