 ##  [Round-Off Error](/round-error) 

  ##  [Round-Off Error](https://mathlogic.quantumdictionary.io/round-error-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Small errors introduced by finite-precision arithmetic when representing real numbers and performing arithmetic operations; while individually tiny, they can accumulate, cancel, or interact with algorithms to produce significant deviations from exact results.