# Rounding Errors Can Occur

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Rounding Errors Can Occur

Rounding errors can occur when you use multiplication, division, or exponentiation in a formula. It is the difference between the result produced by a given algorithm using exact arithmetic and the result produced by the same algorithm using finite-precision, rounded arithmetic. When rounding to the nearest one, divide the degree of accuracy by two. This provides the error interval of 0.5 either side of the whole number.

Rounding errors can be expressed using two inequality symbols to represent the lowest and highest possible values. Since nearly every modern computer is digital (as opposed to analog), numbers must have discrete values. This means that numbers are rounded off to fit into a finite number of bits. The impact of rounding errors extends far beyond cash transactions and penny-shaving theft.

In summary, rounding errors can occur when you use multiplication, division, or exponentiation in a formula. It is the difference between the result produced by a given algorithm using exact arithmetic and the result produced by the same algorithm using finite-precision, rounded arithmetic. Rounding errors can be expressed using two inequality symbols to represent the lowest and highest possible values. Since nearly every modern computer is digital (as opposed to analog), numbers must have discrete values. This means that numbers are rounded off to fit into a finite number of bits. The impact of rounding errors extends far beyond cash transactions and penny-shaving theft.

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Here are some websites that discuss Rounding Errors Can Occur:
1. https://www.bbc.co.uk/bitesize/topics/zmdqxnb/articles/z3pmxbk
2. https://www.examveda.com/rounding-errors-can-occur-8555/
3. https://en.wikipedia.org/wiki/Round-off_error
4. https://slate.com/technology/2019/10/round-floor-software-errors-stock-market-battlefield.html
5. https://support.microsoft.com/en-us/office/set-rounding-precision-e5d707e3-07a8-4df2-810c-218c531eb06a