Texas Instruments TI-30X Plus Calculator

TI-30XPlusMultiView™ Calculator

Important information 2 Examples 3 Switchingthe calculator on and off 3 Displaycontrast 3 Home screen 4 2nd functions 6 Modes 6 Multi-tap keys 9 Menus 10 Scrolling expressions and history 11 Answer toggle 12 Last answer 12 Order of operations 13 Clearing and correcting 15 Fractions 16 Percentages 18 EE key 19 Powers, roots and inverses 20 Pi 21 Math 22 Number functions 23 Angles 24 Rectangular to polar 27 Trigonometry 29 Hyperbolics 31 Logarithm and exponentialfunctions 32 Stored operations 32 Memory and stored variables 34 Data editor and list formulas 37

Statistics,regressions, and distributions 40 Probability 54 Function table 56 Number bases 59 Expression evaluation 61 Constants 62 Conversions 65 Complex numbers 68 Errors 72 Battery information 77 Texas Instruments Support and Service 79

Important information

Texas Instruments makes no warranty, either express or implied, includingbut not limited to any implied warranties of merchantabilityand fitnessfor a particular purpose, regarding any programs or book materials and makes such materials available solely on an "as-is" basis.In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequentialdamages in connection with or arising out of the purchase or use of these materials, and the sole and exclusive liabilityof Texas Instruments, regardlessof the form of action, shall not exceed the purchase price of this product. Moreover, Texas Instruments shallnot be liable for any claim of any kind whatsoever against the use of these materialsby any other party.

MathPrint, APD, Automatic Power Down, EOS, and MultiView are trademarks of Texas I nstruments Incorporated.

Examples

Each section is followed by instructions for keystroke examplesthat demonstrate the TI-30XPlus MultiView™ functions.

Examplesassume all default settings, as shown in the Modes section.

Some screen elements may differ from those shown in thisdocument.

Switching the calculator on and off

& turns on the calculator.% ' turns it off. The display is cleared, but the history, settings, and memory are retained.

The APD™ (Automatic Power Down™) feature turns off the calculator automaticallyif no key is pressed for about 5 minutes. Press & after APD. The display, pending operations, settings, and memory are retained.

Display contrast

The brightness and contrast of the display can depend on room lighting, battery freshness,and viewing angle.

To adjust the contrast:

1. Press and release the % key.

2. Press T U (to darken the screen) or U (to lighten the screen).

Home screen

On the Home screen, you can enter mathematical expressionsand functions, along with other instructions. T he answers are displayed on the Home screen. The TI-30XPlusMultiView™ screen can display a maximum of four lineswith a maximum of 16 characters per line.For entries and expressions of more than 16 characters, you can scrollleft and right (! and ") to view the entire entry or expression.

In the MathPrint™ mode, you can enter up to four levels of consecutive nested functionsand expressions, which include fractions,square roots, exponents with ^, Ü, ex, and 10x.

When you calculate an entry on the Home screen, depending upon space, the answer is displayed either directlyto the right of the entry or on the right side of the next line.

Specialindicators and cursors may displayon the screen to provide additional information concerning functionsor results.

Indic ator Definition

2ND 2nd function.

FIX Fixed-decimal setting. (See

SCI, ENG Scientificor engineering

DEG, RAD, GRAD

Mode section.)

notation. (See Mode section.)

Angle mode (degrees, radians, or gradians). (See

Indic ator Definition

Mode section.)

L1, L2, L3 Displaysabove the lists in data

editor.

H, B, O IndicatesHEX, BIN, or OCT

number-base mode. No indicator displayed for default DEC mode.

The calculator isperforming an operation.

5 6

An entry is stored in memory before and/or after the active screen. Press # and $ to scroll.

3 4

An entry or menu displays beyond 16 digits.Press ! or " to scroll.

Normal cursor. Shows where the next item you type will appear.

Entry-limit cursor. No additionalcharacters can be entered.

Placeholder box for empty MathPrint™ element. Use arrow keys to move into the box.

MathPrint™ cursor. Continue entering the current MathPrint™ element, or press

Indic ator Definition

an arrow key to exit the element.

2nd functions

Most keys can perform more than one function. The primary function isindicated on the key and the secondary functionis displayedabove it. Press % to activate the secondary function of a given key. Notice that 2N D appears as an indicator on the screen. To cancelit before entering data, press % again. For example, % b 25 < calculatesthe square root of 25 and returns the result, 5.

Modes

Use q to choose modes. Press $ # ! " to choose a mode, and < to select it. Press - or

% s to return to the Home screen and perform

your work using the chosen mode settings. Default settings are highlighted in these sample

screens.

DEG RAD GRAD Sets the angle mode to degrees,

radians, or gradians.

NOR M SCI ENG Sets the numeric notation mode.

Numericnotation modes affect only the display of results, and not the accuracy of the valuesstored in the unit, which remain maximal.

NOR M displays resultswith digits to the left and

right of the decimal, as in 123456.78.

SCI expresses numbers with one digit to the left

of the decimal and the appropriate power of 10, as in 1.2345678×5 (which is the same as

1.2345678×105).

ENG displays results as a number from 1 to 999

times 10 to an integer power. The integer power isalways a multiple of 3.

Note:E is a shortcut key to enter a number in

scientificnotation format. The result displays in the numericnotation format selected in the mode menu.

FLOAT0 1 2 3 4 5 6 7 8 9 Sets the decimal notation

mode.

FLOAT (floating decimal point) displaysup to 10

digits, plus the sign and decimal.

0 1 2 3 4 5 6 7 8 9 (fixed decimal point) specifies

the number of digits (0 through 9) to display to the right of the decimal.

REALa+bir± qSets the format of complex number

results.

REAL real results

a+bi rectangular results

r± q polar results

DECHEXBINOCTSets the number base used for

calculations.

DEC decimal

HEX hexadecimal(To enter hex digits A through

F, use % §, % ¨, and so on.)

BIN binary

OCT octal

CLASSICMATHPRINT

CLASSIC mode displaysinputs and outputs in a

single line.

MATH PRINT mode displays most inputs and

outputs in textbook format.

Exampl es of Class ic and MathPrint™ modes

Classic mode MathPrint™ mode

Sci Sci

Float mode and answer toggle key.

Fix 2 Fix 2 and answer toggle

key.

U n/d U n/d

Classic mode MathPrint™ mode

Exponent example Exponent example

Square root example Square root example

Cube root example Cube root example

Multi-tap keys

A multi-tap key is one that cyclesthrough multiple functionswhen you press it.

For example, the X key contains the trigonometry functionssin and si n/ as well as the hyperbolic functionssinh and sinh/. Press the key repeatedly to display the function that you want to enter.

Multi-tap keysinclude z, X, Y, Z, C, D, H, and g. Applicable sections of this guidebook describe how to use the keys.

Menus

Menus give you accessto a large number of calculator functions.Some menu keys, such as % h,display a single menu. Others, such as d, display multiple menus.

Press " and $ to scroll and selecta menu item, or press the corresponding number next to the item. To return to the previousscreen without selecting the item, press -. To exit a menu and return to the Home screen, press % s.

% h (key with a single menu):

RECALL VAR (with values set to default of 0)

1: x = 0

2: y = 0

3: z = 0

4: t = 0

5: a = 0

6: b = 0

7: c = 0

8: d = 0

d (key with multiplemenus):

MATH NUM DMS R³´ P

1:4n/d³4Un/d1: abs( 1: ° 1: P ´Rx(

2: lcm( 2: round( 2: ¢ 2: P ´Ry(

3: gcd( 3: iPart( 3: £ 3: R ´Pr(

4: 4Pfactor 4: fPart( 4: r 4: R ´Pq (

MATH NUM DMS R³´ P

5: sum( 5:int( 5: g

6: prod( 6: min( 6: ´DMS

7: max(

8: mod(

Scrolling expressions and history

! " # $

Press ! or " to move the cursor within an expression that you are entering or editing.Press % ! or % "tomove the cursor directlyto the beginning or end of the expression.

After you evaluate an expression, the expression and itsresult are added automaticallyto the history. Use # and $ to scrollthrough the history. You can reuse a previous entry by pressing < to paste it on the bottom line, where you can edit it and evaluate a new expression.

Exampl e

Scroll 7 F U 4

( 3 ) ( 1 )<

% b # # < <

Answer toggle

Press the r key to toggle the display result(when possible) between fraction and decimal answers, exact square root and decimal, and exact pi and decimal.

Pressing r displaysthe last resultin the fullprecision of its stored value, which may not match the rounded value.

Exampl e

Answer toggle

% b 8 <

Last answer

% i

The last entry performed on the home screen is stored to the variable ans. This variable isretained in memory, even after the calculator isturned off. To recall the value of ans:

• Press % i (ans displayson the screen), or

• Press any operations key (T, U, and so forth) as the first part of an entry. ans and the operator are both displayed.

Exampl es

ans 3 V 3 <

V 3 <

3 % c % i

Order of operations

The TI-30XPlusMultiView™ calculator uses Equation Operating System (EOS™) to evaluate expressions. Withina prioritylevel, EOS evaluates functionsfrom left to right and in the following order.

1st Expressionsinside parentheses.

2nd Functions that need a ) and precede

the argument, such as sin, log, and all

R³´P menu items.

3rd Fractions.

4th

Functions that are entered after the argument, such as x2and angle unit modifiers.

5th Exponentiation (^) and roots (x‡).

Note: In Classicmode, exponentiation

using the G key is evaluated from left to right. The expression 2^3^2 is evaluated as (2^3)^2, with a result of

64.

In MathPrint™ mode, exponentiation using the G key is evaluated from right to left. The expression 2^3^2 is evaluated as 2^(3^2), with a result of

512.

The calculator evaluatesexpressions entered with F and a from left to right in both Classic and MathPrint™ modes. Pressing 3 F F iscalculated as (32)

=81.

6th

Negation (M ).

7th Permutations (nPr ) and combinations

(nC r).

8th Multiplication, implied multiplication,

division.

9th Addition and subtraction.

10th Conversions (n/d ³´Un/d, F ³´D,

4DMS).

11th < completes all operations and

closes all open parentheses.

Exampl es

+ Q P M 6 0 T 5 V M1 2

(M) 1 T M 8 T 1 2 <

% b 9 T 16 <

() 4 V ( 2 T 3 ) <

4 ( 2 T 3 ) <

^ and ‡ % b 3 G 2 " T 4

G 2 <

Clearing and correcting

% s Returns to the Home screen.

% f Inserts a character at the cursor.

% { Clears variables x, y, z, t, a, b, c ,

%  2 Resets the calculator. Returns

Clears an error message. Clears characters on entry line. Moves the cursor to last entry in

history once displayisclear.

Deletes the character at the cursor.

and d to their default value of 0.

unit to default settings;clears memory variables, pending

operations, all entriesin history, and statisticaldata; clears any stored operation, and ans.

Fractions

P % @ d 1 % ã f³´dä In the MathPrint™ mode, fractions with P can include

real and complex numbers, operation keys (T, V, etc.), and most function keys(F, %, _, etc.).

In Classic mode, fractions with P do not allow operation keys, functions, or complex fractionsin the numerator or denominator.

Note:In Classicmode, only number entriesare

supported when using P. Fractions in Classicmode are shown with a double-thick fractionbar (for example, ). The numerator must be an integer, and the denominator must be a positiveinteger. To compute more complexexpressions(functions, variables,complex numbers, etc.), use W along with ( and ).

The calculator defaults output to improper fractions. Results are automatically simplified.

• P enters a simple fraction. Pressing P before or after a number can result in different behavior. Entering a number before pressing P makesthat number the numerator.

To enter fractionswith operators or radicals, press P before you enter a number (in MathPrint™ mode only).

• In MathPrint™ mode, press $ between the entry of the numerator and the denominator.

• In Classic mode, press P between the entry of the numerator and the denominator. The fraction bar will appear thicker than the division bar.

• Pressing % # from any MathPrint™ level, including the denominator or a lower limit, places the cursor in the history. Pressing enter will then paste the expression back to that MathPrint™ level.

- To paste a previous entry in the

denominator, place the cursor in the denominator, press % # to scroll to the desired entry, and then press < to paste the entry to the denominator.

- To paste a previous entry in the numerator

or unit, place the cursor in the numerator or unit, press # or % # to scroll to the desired entry, and then press < to paste the entry to the numerator or unit.

• % @ enters a mixed number. Pressthe arrow keysto cycle through the unit, numerator, and denominator.

• d 1 converts between simplefractions and mixed-number form (4n/d³´Un/d).

• % ã f³ò´dä converts resultsbetween fractions and decimals.

Exampl es Clas sic mode

, Un/

3 P 4 T 1 % @ 7

P 12 <

³´Un/

9 P 2 d 1 <

F³´D 4 % @ 1 P 2 %

ãf³´dä <

Exampl es MathPrint™ mode

n/d, U n/d P 3 $ 4 " T 1

% @ 7 $ 12

³´Un/

9 P 2 " d 1

F³´D 4 % @ 1 $ 2 "

% ã f³´dä <

Examples (

P 1.2 T 1.3 $ 4 <

MathPrint ™ mode only)

( MathPrint ™ mode

P M 5 T % b 5 F U 4 ( 1 ) ( 6

) $ 2 ( 1 ) <

only)

Percentages

% _

To perform a calculation involving a percentage, press

% _ after entering the value of the percentage.

Exampl e

2 % _ V 150 <

Š ³

Problem

A miningcompany extracts 5000 tons of ore with a concentration of metal of 3% and 7300 tons with a concentration of 2.3%. On the basisof these two extraction figures, what isthe total quantity of metal obtained?

If one ton of metal is worth 280 dollars, what isthe total value of the metal extracted?

3 % _ V 5000 <

T 2.3 % _ V 7300 <

V 280 <

The two extractions represent a total of 317.9 tons of metal for a total value of 89012 dollars.

EE key

E E is a shortcut key to enter a number in scientific

notation format.

Exampl e

2 E 5 <

q $ " <

- <

Powers, roots and inverses

% b Calculates the square root of a non-

% c

Calculatesthe square of a value. The TI-30XPlusMultiView™ calculator evaluatesexpressionsentered with F and a from left to right in both Classic and MathPrint™modes.

Raisesa value to the power indicated. Use " to move the cursor out of the power.

negative value.

Calculatesthe nth root of any nonnegative value and any odd integer root of a negative value.

Gives the inverse of a value: 1/x. The calculator evaluates expressions entered with F and a from left to right in both Classic and MathPrint™ modes.

Exampl es

q $ < -

5 F T 4 G 2 T 1 " <

10 G M 2 <

% b 49 <

% b 3 F T 2 G 4 <

6 % c 64 <

2 % a <

g (multi-tap key)

p = 3.141592653590 for calculations. p = 3.141592654 for display.

Exampl e

2 V g <

Š ³

Problem

What is the area of a circle if the radius is 12 cm?

Reminder: A = p×r

g V 12 F < r

The area of the circle is 144 p square cm. The area of the circleis approximately452.4 square cm when rounded to one decimal place.

Math

d MATH d displays the M ATH menu:

1:4n/d³´Un/dConverts between simple fractions

and mixed-number form.

2: lcm( Least common multiple

3: gcd( Greatest common divisor

4: 4Pfactor Prime factors

5: sum( Summation

6: prod( Product

Exampl es

³´Un/

9 P 2 " d 1 <

lcm( d 2

6 % ` 9 ) <

gcd( d 3

4Pfactor 253 d 4 <

18 % ` 33 ) <

sum( d 5

prod(S d 6

1 " 4 " z V 2

1 " 5 " 1 P z

" " <

Number functions

d NUM d " displays the N UM menu:

1: abs( Absolute value

2: round( Rounded value

3: iPart( Integer part of a number

4: fPart( Fractional part of a number

5: int( Greatest integer that is Å the number

6: min( Minimum of two numbers

7: max( Maximum of two numbers

8: mod( Modulo (remainder of first number P

Exampl es

second number)

abs( d " 1

M % b 5 <

round( d " 2

1.245 % ` 1 )

< ##< ! ! ! ! ! 5 <

iPart( fPart(

4.9 L z <

d " 3 z ) < d " 4 z ) V 3 <

int( d " 5

M 5.6 ) <

min( max(

d " 6

4 % ` M 5 )

< d " 7

.6 % ` .7 ) <

mod( d " 8

17 % ` 12 ) <

# # < ! ! 6 <

Angles

d DMS d " " displaysthe DMS menu:

1: ° Specifiesthe angle unit modifier as

degrees (º).

+ 56 hidden pages

Texas Instruments TI-30X Plus Calculator

Specifications and Main Features

Frequently Asked Questions

User Manual

Important information

Examples

Switching the calculator on and off

Display contrast

Home screen

2nd functions

Modes

Multi-tap keys

Menus

Scrolling expressions and history

Answer toggle

Last answer

Order of operations

Clearing and correcting

Fractions

Percentages

EE key

Powers, roots and inverses

Math

Number functions

Angles