The place or position of a digit in a number determines its actual value in the number. In other words, the value of a digit depends on its place or position in the number.
Each position in a number has a value that is a power of 10. A decimal point separates the positive powers of 10 on the left from the negative powers on the right.
Each place has a value of 10 times the place to its right. The value of the first place on the right is “one”, the value of the place to the left of it is “ten,” which is 10 times 1. The place to the left of the tens place is hundreds, which is 10 times 10, and so forth.
Example 1:
The number 89203.14 has 8 in the ten thousands place, 9 in the thousands place, 2 in the hundreds place, 0 in the tens place 3 in the ones place, 1 in the tenths place and 4 in the hundredths place.
In expanded form it can be written as:
80000 + 9000 + 200 + 00 + 3 + 0.1 + 0.04
Example 2:
The number 342.57 has 3 in the hundreds place, 4 in the tens place, 2 in the ones place, 5 in the tenths place and 7 in the hundredths place.
It is equivalent to 300 + 40 + 2 + 0.5 + 0.07
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