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Why does Math.Round(0.045, 2) return 0.04 instead of 0.05?

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codeling 1595 - 6639
@2017-07-25 14:17:41

In C#, the result of Math.Round(0.045, 2) is 0.04. It is supposed to be 0.05, isn't it?

@2017-07-25 14:34:55

Because of the loss of precision that can result from representing decimal values as floating-point numbers or performing arithmetic operations on floating-point values, in some cases the Round(Double) method may not appear to round midpoint values to the nearest even integer. In the following example, because the floating-point value .1 has no finite binary representation, the first call to the Round(Double) method with a value of 11.5 returns 11 instead of 12.

using System;

public class Example
{
   public static void Main()
   {
      double value = 11.1;
      for (int ctr = 0; ctr <= 5; ctr++)   
         value = RoundValueAndAdd(value);

      Console.WriteLine();

      value = 11.5;
      RoundValueAndAdd(value);
   }

   private static double RoundValueAndAdd(double value)
   {
      Console.WriteLine("{0} --> {1}", value, Math.Round(value));
      return value + .1;
   }
}
// The example displays the following output:
// 11.1 --> 11
// 11.2 --> 11
// 11.3 --> 11
// 11.4 --> 11
// 11.5 --> 11
// 11.6 --> 12
//
// 11.5 --> 12
 

@2017-07-25 15:10:57

Math.Round Method (Double)

Rounds a double-precision floating-point value to the nearest integral value.

public static double Round( double a )

Parameters

a

Type: System.Double

A double-precision floating-point number to be rounded.

Return Value

Type: System.Double

The integer nearest a. If the fractional component of a is halfway between two integers, one of which is even and the other odd, then the even number is returned. Note that this method returns a Double instead of an integral type.

@2017-07-25 15:11:34

Because of the loss of precision that can result from representing decimal values as floating-point numbers or performing arithmetic operations on floating-point values, in some cases the Round(Double) method may not appear to round midpoint values to the nearest even integer. In the following example, because the floating-point value .1 has no finite binary representation, the first call to the Round(Double) method with a value of 11.5 returns 11 instead of 12.

using System;

public class Example
{
   public static void Main()
   {
      double value = 11.1;
      for (int ctr = 0; ctr <= 5; ctr++)   
         value = RoundValueAndAdd(value);

      Console.WriteLine();

      value = 11.5;
      RoundValueAndAdd(value);
   }

   private static double RoundValueAndAdd(double value)
   {
      Console.WriteLine("{0} --> {1}", value, Math.Round(value));
      return value + .1;
   }
}
// The example displays the following output:
// 11.1 --> 11
// 11.2 --> 11
// 11.3 --> 11
// 11.4 --> 11
// 11.5 --> 11
// 11.6 --> 12
//
// 11.5 --> 12

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