# Decimal Scaling Normalization

Decimal Normalization is a normalization technique in which we normalize the given value by moving the decimal points of that value. The number of decimal points to move is defined by the maximum absolute value of the given data set. If  Vi  value of attribute A, then normalized value Ui is given as,

 Decimal Normalization

Where, j is the smallest integer such that max|Ui|<1.

     Let's clarify it with an example: Suppose we have data set in which the value ranges from -9900 to 9877.  In this case, the maximum absolute value is 9900. So to perform decimal normalization, we divide each of the values into data set by 10000 i.e j=4.(since it near to 9900).

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