Texas Instruments TI89TITANIUM User Manual - Page 240
Using Exact, Approximate, and Auto Modes, Operating the Handheld
UPC - 033317191833
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Using Exact, Approximate, and Auto Modes The Exact/Approx mode settings, which are described briefly in Operating the Handheld, directly affect the precision and accuracy with which the TI-89 Titanium calculates a result. This section describes these mode settings as they relate to symbolic manipulation. EXACT Setting When Exact/Approx = EXACT, the handheld uses exact rational arithmetic with up to 614 digits in the numerator and 614 digits in the denominator. The EXACT setting: • Transforms irrational numbers to standard forms as much as possible without approximating them. For example, 12 transforms to 2 3 and ln(1000) transforms to 3 ln(10). • Converts floating-point numbers to rational numbers. For example, 0.25 transforms to 1/4. The functions solve, cSolve, zeros, cZeros, factor, ‰, fMin, and fMax use only exact symbolic algorithms. These functions do not compute approximate solutions in the EXACT setting. • Some equations, such as 2Lx = x, have solutions that cannot all be finitely represented in terms of the functions and operators on the handheld. Symbolic Manipulation 240