In a number system, place value is the value of a digit based on its position in the number. The place value of a digit depends on the base of the number system. For example, in the base 10 number system (which is the most commonly used number system), the place value of a digit increases by a factor of 10 as you move from right to left. Here are some examples to illustrate this concept:
In the number 123, the 3 is in the ones place, so it has a place value of 3.
In the number 123, the 2 is in the tens place, so it has a place value of 20 (2*10).
In the number 123, the 1 is in the hundreds place, so it has a place value of 100 (1*100).
The place value of a digit is important because it determines the value of the number as a whole. For example, the number 123 is not the same as the number 321 because the digits 3 and 2 have different place values. In 123, the 3 is in the ones place and has a place value of 3, while in 321, the 3 is in the hundreds place and has a place value of 300.
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