Using Exact, Approximate, And Auto Modes; Exact Setting - Texas Instruments TITANIUM TI-89 User Manual

Using Exact, Approximate, and Auto Modes

Using Exact, Approximate, and Auto Modes Using Exact, Approximate, and Auto Modes 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

EXACT Setting EXACT Setting 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,
to .
3 ln(10)
• Converts floating-point numbers to rational numbers. For example, 0.25 transforms
to 1/4.
The functions
solve
symbolic algorithms. These functions do not compute approximate solutions in the
EXACT setting.
• Some equations, such as
represented in terms of the functions and operators on the handheld.
Symbolic Manipulation
, , ,
cSolve zeros cZeros
Lx
, have solutions that cannot all be finitely
2 = x
12 transforms to 2 3
, , ‰, , and
factor fMin
and transforms
ln(1000)
use only exact
fMax
240