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Error Intervals Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Error interval
A range of values within which the true value of a rounded number lies.
Lower bound
The smallest value that a rounded number could be.
Upper bound
The largest value that a rounded number could be.
Error interval notation
Error intervals are written as inequalities, e.g., a ≤ x < b.
Rounding to the nearest whole number
The error interval is [n - 0.5, n + 0.5), where n is the rounded number.
Rounding to 1 decimal place
The error interval is [n - 0.05, n + 0.05), where n is the rounded number.
Rounding to 2 decimal places
The error interval is [n - 0.005, n + 0.005), where n is the rounded number.
Truncation and error intervals
For truncation, the lower bound is the truncated value, and the upper bound is the next possible value.
Limits of accuracy
The lower and upper bounds define the limits of accuracy for a rounded or truncated number.
Using error intervals in calculations
When combining values with error intervals, consider the bounds to find the possible range of the result.
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