Texas Instruments Titanium TI-89 Quick start guide

Discovering Advanced Algebra Calculator Notes for the Texas Instruments TI-89, TI-92 Plus, and Voyage 200 CHAPTER 0 1

Note 0A • Order of Operations

To evaluate expressions, the calculator uses the standard order of operations,

PEMDAS (parentheses, exponents, multiplication and division, addition and

subtraction). For example, when you enter the expression 1124*3

a. The calculator reads no parentheses or exponents.

b. The calculator does multiplication and division from left to right: it

evaluates 124 as 3 to get 1 3*3, and it evaluates 3 *3 as 9 to

get 1 9.

c. The calculator does addition and subtraction from left to right: it

evaluates 1 9 as 10.

Negation is on the same level as multiplication, so powers are calculated

before negation. For example, 4^2 evaluates as 16.Tosquare 4, you use

parentheses: (4)^2.

Although there are keys for the brackets, [ ],and braces, { },you use for

grouping when working on paper, the calculator uses them for other things.

To group on the calculator, you use only the parentheses keys. So, to evaluate

the expression





•4



,you enter (53)(2*4)(





(81)4)(2(72))2.

Study these examples and verify the results on your calculator.

Note 0B • Fractions

Whether the calculator displays an answer as a fraction or as a decimal

depends on the Exact/Approx setting on the Mode screen. Press , arrow

down to Exact/Approx,and press the right arrow key to see the three options:

AUTO, EXACT, APPROXIMATE.Select the setting you want and press

twice to confirm and return to the Home screen. Your choice is shown in

the status line at the bottom of the Home screen. (See Note 1C for more

on moving to and from the Mode screen.)

Approximate Mode

In Approximate mode all answers are displayed as decimals. Any fraction

entered will be converted to a decimal. To convert



to a decimal, enter 35

and press .

ENTER

MODE

81



4



(2(7 2))2

CHAPTER 0 Calculator Notes for the TI-89, TI-92 Plus,

and Voyage 200

(continued)

Note 0B • Fractions (continued) TI-89/TI-92 Plus/Voyage 200

Exact Mode

In Exact mode, any answer that is not a whole number is displayed as

afraction or in symbolic form. Any decimal entered will be converted

toafraction in lowest terms. To convert 1.25 to a fraction, enter 1.25

and press . To override Exact mode and display an answer as

adecimal, press [].For example, to convert



to a decimal,

enter 35and press [].

Auto Mode

In Auto mode, an answer is displayed as in Exact mode whenever possible

except when a decimal is used in the problem. Pressing []displays a

decimal answer that would ordinarily be displayed as an exact answer.

♦

ENTER

2CHAPTER 0 Discovering Advanced Algebra Calculator Notes for the Texas Instruments TI-89, TI-92 Plus, and Voyage 200

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