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IB Maths AI 1.6 Definitions

This page contains our IB Maths AI definitions for 1.6. By learning each one of these definitions, you will fully cover the content for IB Maths AI 'Handling numbers'.

absolute error

The size of the difference between a measured value and the true value, calculated as measured valuetrue value|\text{measured value}-\text{true value}|.

approximation

Using a truncated Maclaurin series (a finite number of terms) to estimate a function value near x=0x=0.

estimation

A quick approximate calculation found by rounding numbers to easy values, used to check whether an answer is reasonable.

lower bound

The smallest possible true value consistent with a rounded value, found by subtracting half of the rounding unit and using an inclusive endpoint.

percentage error

The size of an error compared with the true value, expressed as a percentage: measured valuetrue valuetrue value×100%\frac{|\text{measured value}-\text{true value}|}{\text{true value}}\times100\%.

significant figures

Digits that indicate the precision of a value; counted from the first non-zero digit, with every digit after that counted as significant.

upper bound

The greatest possible true value consistent with a rounded value, found by adding half of the rounding unit and using an exclusive endpoint.

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