Calculation error

I made a few simple calculations in number and found what appears to be an error-

Cell A1: 1.001 (entered manually)

Cell B1 = 1000 *(A1-1)

1.001

0.99999999999989

The result should be 1, but it returns 0.9999999999989. When I try chaining the formula 1000 * A1 - 10000 I get the same result. If I have 1000 * A1 and increase the number of decimal places it comes out just like 1001.000000000000.

I missing something here, or are numbers arithmetic flunking of base?

Nope.

Numbers, as any application that performs numeric calculations, translated the decimal values you provide in binary numbers to floating-point precision finished, does its job using binary numbers, then translates the result in decimal numbers and present to you.

The anomalies that see you as well because an accurate representation of some decimal numbers is simply not possible using finite precision binary numbers.

It is similarly of decimal numbers representing fractions of the commune. An exact decimal value is often not possible with a fixed number of places. for example, the decimal number is the exact equivalent of 2/7?

For a full discussion, search the web over precision IEEE754 calculations.

As a practical measure, learn how to use the ROUND function.

Kind regards

Barry

Tags: iWork

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