Texas Instruments TI 30X B User Manual

TI-30XS MultiView™ and

TI-30XB MultiView™ Scientific

Calculator

Important information ............................................................ 2

Examples .............................................................................. 3

Switching the TI-30XS MultiView calculator on and off ........ 3

Display contrast .................................................................... 3

Home screen ........................................................................ 4

2nd functions ........................................................................ 5

Modes ................................................................................... 5

Menus ................................................................................... 7

Scrolling ................................................................................ 9

Answer toggle ..................................................................... 10

Last answer ........................................................................ 11

Order of operations ............................................................. 11

Clearing and correcting ....................................................... 13

Fractions ............................................................................. 13

Percentages ........................................................................ 15

x10ⁿkey .............................................................................. 16

Powers, roots and inverses ................................................ 16

Pi ......................................................................................... 17

Angle menu ......................................................................... 18

Rectangular to polar ........................................................... 20

Trigonometry ....................................................................... 21

Hyperbolics ......................................................................... 23

Logarithm and exponential functions .................................. 24

Examples

Each section is followed by instructions for keystroke

examples that demonstrate the TI-30XS MultiView™ and

TI-30XB MultiView functions. All references in this manual will

refer to the TI-30XS MultiView, but are also applicable for the

TI-30XB MultiView.

Examples assume all default settings, as shown in the Modes

section.

For more activities and examples, see the TI-30XS

MultiView™ Teacher Guide available at education.ti.com/

guides.

Switching the TI-30XS MultiView calculator on

and off

& turns on the TI-30XS MultiView 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

TI-30XS MultiView calculator automatically if 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:

Press and release the % key.

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

screen).

Home screen

On the Home screen, you can enter mathematical

expressions and functions, along with other instructions. The

answers are displayed on the Home screen. The TI-30XS

MultiView screen can display a maximum of four lines with a

maximum of 16 characters per line. For entries and

expressions of more than 16 characters, you can scroll left

and right (!and ") to view the entire entry or expression.

In the MathPrint™ mode, you can enter up to four levels of

consecutive nested functions and expressions, which include

fractions, square roots, exponents with ^, Ê, e^x, and 10^x.

When you calculate an entry on the Home screen, depending

upon space, the answer is displayed either directly to the right

of the entry or on the right side of the next line.

Special indicators may display on the screen to provide

additional information concerning functions or results.

Indicator

2nd

Definition

2nd function.

HYP

Hyperbolic function.

FIX

Fixed-decimal setting. (See Mode

section.)

SCI, ENG

Scientific or engineering notation.

(See Mode section.)

DEG, RAD,

GRAD

Angle mode (degrees, radians, or

gradians). (See Mode section.)

Constant feature is on.

L1, L2, L3

Displays above the lists in data

editor.

The TI-30XS MultiView™ calculator

is performing an operation.

º »

An entry is stored in memory before

and/or after the active screen. Press

# and $ to scroll.

¹ ¸

An entry or menu displays beyond

16 digits. Press ! or " to scroll.

2nd functions

Most keys can perform two functions. The primary function is

indicated on the key and the secondary function is displayed

above it. Press % to activate the secondary function of a

given key. Notice that 2nd appears as an indicator on the

screen. To cancel it before entering data, press % again.

For example, % b 25 < calculates the square root of

25 and returns the result, 5.

Modes

Use pto choose modes. Press $ # ! " to choose a

mode, and < to select it. Press - or %Q to

return to the Home screen and perform your work using the

chosen mode settings.

Default mode settings are shown highlighted.

DEG RAD GRAD Sets the angle mode to degrees,

radians, or gradians.

NORM SCI ENG Sets the numeric notation mode. Numeric

notation modes affect only the display of results, and not the

accuracy of the values stored in the unit, which remain

maximal.

NORM displays results with 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

1.2345678Ã10⁵(which is the same as 123456.78).

Note: In some restricted environments (for example

function table, data editor, and the %h menu), the

TI-30XS MultiView™ calculator may display E instead of

Ã10ⁿ.

ENG displays results as a number from 1 to 999 times 10

to an integer power. The integer power is always a multiple

of 3.

Note: C is a shortcut key to enter a number in scientific

notation format. The result displays in the numeric notation

format set in mode.

FLOAT 0123456789 Sets the decimal notation mode.

FLOAT (floating decimal point) displays up to 10 digits,

plus the sign and decimal.

0123456789 (fixed decimal point) specifies the number of

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

CLASSIC MATHPRINT

CLASSIC mode displays inputs and outputs in a single

line.

MATHPRINT mode displays most inputs and outputs in

textbook format.

Examples of Classic and MathPrint modes

Classic mode

MathPrint mode

Sci

Float

Float mode and answer toggle

key.

Fix 2

Fix 2 and answer toggle key.

U n/d

Exponent example

Square root example

Cube root example

Square root example

Cube root example

Menus

Certain keys display menus: H, % I, v,

%t, %ꢀ, %h, and %{. Some

keys may display more than one menu.

Press " and $ to scroll and select a menu item, or press

the corresponding number next to the menu item. To return to

the previous screen without selecting the item, press -.

To exit a menu or application and return to the Home screen,

press %Q.

The menu chart shows the menu keys and the menus they

display.

R ¶P

PRB

1: nPr

2: nCr

3: !

RAND

1: rand

2: randint(

DMS

1: Ä

2: Å

3: Æ

4: r

1: R ´Pr(

2: R ´PÁ(

3: P ´ Rx(

4: P ´Ry(

5: g

6: ´DMS

(Press once to display the Data editor screen. Press again to

display the menu.)

CLEAR

FORMULA

1: Clear L1

2: Clear L2

3: Clear L3

4: Clear ALL

1: Add/Edit Frmla

2: Clear L1 Frmla

3: Clear L2 Frmla

4: Clear L3 Frmla

5: Clear ALL

Press v while you are in the Add/Edit Formula option of

the FORMULA menu to display this menu:

1: L1

2: L2

3: L3

STATS

1: 1-Var Stats

2: 2-Var Stats

3: StatVars

This menu option displays after you

calculate 1-var or 2-var stats.

StatVars menu:

1: n

2: Ï

3: Sx

Etc. See StatVar values for full list.

%ꢀ

Reset

1: No

Recall Var

1: x =

Clear Var

1: Yes

2: Yes

2: y =

2: No

3: z =

4: t =

5: a =

6: b =

7: c =

Scrolling

! " # $

Press ! or " to place the cursor horizontally over the

expression entered. Press % ! or % " to move the

cursor directly to the beginning or end of the expression.

After an expression is evaluated, use # and $ to scroll

through previous entries, which are stored in the TI-30XS

MultiView™ calculator’s memory. You can reuse a previous

entry by pressing < to paste it on the bottom line, and then

evaluating a new expression.

Examples

Scroll

1 T 1 <

2 T 2 <

3 T 3 <

4 T 4 <

# # # # <

T 2 <

Answer toggle

Press the n key to toggle the display result between fraction

and decimal answers, exact square root and decimal, and

exact pi and decimal.

Example

Answer

toggle

% b 8 <

Last answer

% i

The most recently calculated result is stored to the variable

Ans. Ans is retained in memory, even after the TI-30XS

MultiView™ calculator is turned off. To recall the value of Ans:

•

Press % i (Ans displays on 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.

Examples

Ans

3 V 3 <

V 3 <

3 % c % i

Order of operations

The TI-30XS MultiView™ calculator uses Equation Operating

System (EOS™) to evaluate expressions. Within a priority

level, EOS evaluates functions from left to right and in the

following order.

1st

Expressions inside parentheses.

2nd

Functions that need a ) and precede the

argument, such as sin, log, and all R ¶P menu

items.

3rd

4th

Fractions.

Functions that are entered after the argument,

such as x²and angle unit modifiers.

Exponentiation (^) and roots (^xÑ).

Note: In Classic mode, exponentiation is

evaluated from left to right. The expression

2^3^2 is evaluated as (2^3)^2, with a result of

64.

5th

In MathPrint™ mode, exponentiation is

evaluated from right to left. The expression

2^3^2 is evaluated as 2^(3^2), with a result of

512.

6th

Negation (M).

7th

Permutations (nPr) and combinations (nCr).

Multiplication, implied multiplication, division.

Addition and subtraction.

8th

9th

10th

11th

Conversions (n/d ¶Un/d, F¶D, 4DMS).

< completes all operations and closes all

open parentheses.

Examples

6 0 T 5 V M1 2 <

1 T M 8 T 1 2 <

% b 9 T 16 <

4 V D 2 T 3 E <

+ Q P M

(M)

( )

4 D 2 T 3 E <

^ and ^xÑ

% b 3 G2 "T 4

G2 <

Clearing and correcting

Clears an error message.

Clears characters on entry line.

Moves the cursor to last entry in history

once display is clear.

Backs up one screen in applications.

Deletes the character at the cursor.

Inserts a character at the cursor.

Clears variables x, y, z, t, a, b, and c.

% f

% {

% ꢀ 2

& & -

Resets the TI-30XS MultiView™

calculator. Returns unit to default

settings; clears memory variables,

pending operations, all entries in history,

and statistical data; clears the constant

feature, K, and Ans.

Fractions

% j

% O

In the MathPrint™ mode, fractions with q can include

operation keys (T, V, etc.) and most function keys (F,

%_, etc.).

In Classic mode, fractions with q do not allow operation

keys, functions, or complex fractions in the numerator or

denominator.

Note: In Classic mode, data editor, and table, use W to

perform complex division problems.

Calculations using fractions can display fraction or decimal

results, depending on input.

The TI-30XS MultiView™ calculator defaults output to

improper fractions. Results are automatically simplified.

•

q enters a simple fraction. Pressing q before or after a

number can result in different behavior. Entering a number

before pressing q makes that number the numerator.

To enter fractions with operators or radicals, press q

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 q between the entry of the

numerator and the denominator.

•

%N enters a mixed number. Press %N between

the entry of the unit and the numerator.

% O converts between mixed numbers and simple

fraction form.

% j converts results between fractions and

decimals.

Examples Classic mode

n/d, U n/d 3 q 4 T 1 % N 7

q 12 <

n/d ¶U n/d 9 q 2 %O <

F ¶D

4 % N 1 q 2 %

j <

Examples MathPrint™ mode

n/d, U n/d

q3 $ 4 " T 1

%N 7 $12 <

n/d ¶Un/d

9 q 2 " %O

F ¶D

4 % N 1 $ 2 "

% j <

Examples

(MathPrint™

mode only)

q1 8 2 T 1 8 3 $ 4

(MathPrint

qM5 T%b5

mode only) FU4 D 1 ED 6

E$2 D 1 E<

Percentages

% _

% R

To perform a calculation involving a percentage, press %

_ after entering the value of the percentage.

To express a value as a percentage, press %R after the

value.

Example

2 % _ V 150 <

1 q 5 "% R <

³ Problem

A mining company extracts 5000 tons of ore with a

concentration of metal of 3% and 7300 tons with a

concentration of 2.3%. On the basis of these two extraction

figures, what is the total quantity of metal obtained?

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

of the metal extracted?

3 % _ V 5000 <

T 2 8 3 % _ V 7300 <

V 280 <

The two extractions represent a total of 317.9 tons of metal for

a total value of 89012 dollars.

x10ⁿkey

C is a shortcut key to enter a number in scientific notation

format.

Example

2 C 5 <

p$"<

Powers, roots and inverses

Calculates the square of a value. The TI-30XS

MultiView™ calculator evaluates expressions

entered with F and a from left to right in both

Classic and MathPrint™ modes.

Raises a value to the power indicated. If you

insert an expression as the exponent, you must

place it between parentheses.

%b Calculates the square root of a positive value.

%c Calculates the nth root of any positive value and

any odd integer root of a negative value.

Gives the inverse of a value: 1/x. The TI-30XS

MultiView™ calculator evaluates expressions

entered with F and a from left to right in both

Classic and MathPrint™ modes.

Examples

5 G 2 " T 4 G D 2 T 1 E

10 G M 2 <

%b 49 <

%b 3 G 2 " T 2 G 4 <

6 %c 64 <

2 a <

À = 3.141592653590 for calculations.

À = 3.141592654 for display.

Example

2 V g <

³ Problem

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

Reminder: A = Àr².

g V 12 G 2 <

The area of the circle is 144 À square cm. The area of the

circle is approximately 452.4 square cm when rounded to one

decimal place.

Angle menu

%I displays the choice of two submenus that enable

you to specify the angle unit modifier as degrees (º), minutes

('), seconds ("); radian (r); gradian (g), or convert units using

´DMS. You can also convert between rectangular coordinate

form (R) and polar coordinate form (P). (See Rectangular to

Polar for more information.)

Choose an angle mode from the mode screen. You can

choose from DEG (default), RAD, or GRAD. Entries are

interpreted and results displayed according to the angle mode

setting without needing to enter an angle unit modifier.

Examples

RAD

p"<

-> 3 0 %I

1 E <

DEG

- 2 g% I 4

1 8 5 %I 6 <

4DMSS

³ Problem

Two adjacent angles measure 12¡ 31¢ 45£ and 26¡ 54¢ 38£

respectively. Add the two angles and display the result in

DMS format. Round the results to two decimal places.

-p$$"""<

-12 %I

1 31 %I2 45 %I 3

T 26 %I1 54 %I 2

38 %I 3 <

%I 6 <

The result is 39 degrees, 26 minutes and 23 seconds.

³ Problem

It is known that 30¡ = p / 6 radians. In the default mode,

degrees, find the sine of 30¡. Then set the calculator to radian

mode and calculate the sine of p / 6 radians.

Note: Press - to clear the screen between problems.

-> 30 E<

p"<- > g q 6 "

Retain radian mode on the calculator and calculate the sine of

30¡. Change the calculator to degree mode and find the sine

of p / 6 radians.

> 30 %I <E<

p<-

> g q 6 " % I 4

E <

Rectangular to polar

%I displays a menu to convert rectangular

coordinates (x,y) to polar coordinates (r, q) or vice versa. Set

Angle mode, as necessary, before starting calculations.

Example

Convert polar coordinates (r, q)=(5, 30) into rectangular

coordinates. Then convert rectangular coordinates

(x, y) = (3, 4) into polar coordinates. Round the results to one

decimal place.

-p

$$""<

R ¶P

-%I"3

5 %` 30 E<

%I"4

5 %` 30 E<

%I"1

3 %` 4 E<

%I"2

3 %` 4 E<

Converting (r, q) = (5, 30) gives (x, y) = (4.3, 2.5) and

(x, y) = (3, 4) gives (r, q) = (5.0, 53.1).

Trigonometry

> ? @

% Z [ \

Enter trigonometric functions (sin, cos, tan, sin^-1, cos^-1, tan^-1),

just as you would write them. Set the desired Angle mode

before starting trigonometric calculations.

Example Degree Mode

Tan

p$$<-

@ 45 E <

Tan^-1

Cos

% \ 1 E <

5 V ? 60 E <

Example Radian Mode

Tan

p"<- @

gq4 "E <

Tan^-1

%\1 E<

Cos

5 V?gq4 "E

³ Problem

Find angle A of the right triangle below. Then calculate angle

B and the length of the hypotenuse c. Lengths are in meters.

Round results to one decimal place.

Reminder:

tan A = therefore m±A = tan^-1

⎛ ⎞

⎝ ⎠

m±A + m±B + 90Ä = 180Ä

therefore m±B = 90Ä - m±A

c = 3 + 7

p$$""<

-%\ 7 q 3 "E<

90 U%i<

%b 3 FT 7 F<

To one decimal place, the measure of angle A is 66.8Ä, the

measure of angle B is 23.2Ä, and the length of the hypotenuse

is 7.6 meters.

Hyperbolics

% Y

% Y displays the HYP indicator and accesses the

hyperbolic function of the next trigonometry key that you

press. Angle modes do not affect hyperbolic calculations.

Example

HYP

%Y>5 ET2

##<!!!!!

%Y%Z<

Logarithm and exponential functions

% ]

% ^

A yields the common logarithm of a number.

B yields the logarithm of a number to the base e

(e ≈ 2.819291929).

% ] raises 10 to the power you specify.

% ^ raises e to the power you specify.

Examples

LOG

A1 E <

5 E V 2 <

10^x

e^x

% ] A 2 E <

A% ] 5 " E

% ^ 85 <

Constant

% l

% l turns Constant feature on and lets you define a

constant.

To store an operation to K and recall it:

1. Press % l.

2. Enter any combination of numbers, operators, and/or

values, up to 44 characters.

3. Press < to save the operation. K displays in the

indicator line.

4. Each subsequent time you press <, the TI-30XS

MultiView™ calculator recalls the stored operation and

applies it to the last answer or the current entry.

Press % l again to turn Constant feature off.

Examples

% l

V 2 T 3 <

4 <

6 <

Reset K

% l % l -

F <

5 <

20 <

Turn off K %l 1 T 1 <

³ Problem

Given the linear function y = 5x – 2, calculate y for the

following values of x: -5; -1.

%lV 5 U 2 <

M 5 <

M 1 <

% l

Memory and stored variables

% h

The TI-30XS MultiView™ calculator has 7 memory

variables—x, y, z, t, a, b, and c. You can store a real number

or an expression that results in a real number to a memory

variable.

L lets you store values to variables. Press Lto store a

variable, and press z to select the variable to store. Press

< to store the value in the selected variable. If this

variable already has a value, that value is replaced by the

new one.

z accesses the menu of variables. Press this key multiple

times to choose x, y, z, t, a, b, or c. You can also use z to

recall the stored values for these variables. The name of the

variable is inserted into the current entry, but the value

assigned to the variable is used to evaluate the expression.

% h recalls the values of variables. Press % h

to display a menu of variables and their stored values. Select

the variable you want to recall and press <. The value

assigned to the variable is inserted into the current entry and

used to evaluate the expression.

% { clears variable values. Press % {

and select 1: Yes to clear all variable values.

Examples

Clear Var

% { 1

15 Lz

Store

Recall

% h

< F <

L zz

z z

< W 4 <

³ Problem

In a gravel quarry, two new excavations have been opened.

The first one measures 350 meters by 560 meters, the

second one measures 340 meters by 610 meters. What

volume of gravel does the company need to extract from each

excavation to reach a depth of 150 meters? To reach 210

meters? Display the results in engineering notation.

p$""<-

350 V560 Lz<

340 V 610 Lzz<

150 V% h

210 V% h<<

150 Vzz<

210 Vzz<

For the first excavation: The company needs to extract 29.4

million cubic meters to reach a depth of 150 meters, and to

extract 41.16 million cubic meters to reach a depth of 210

meters.

For the second excavation: The company needs to extract

31.11 million cubic meters to reach a depth of 150 meters,

and to extract 43.554 million cubic meters to reach a depth of

210 meters.

Data editor and list formulas

v lets you enter data in up to 3 lists. Each list can contain

up to 42 items. Press % # to go to the top of a list, and

% $ to go to the bottom of a list.

List formulas accept all calculator functions.

Numeric notation, decimal notation, and angle modes affect

the display of an element (except fractional elements).

Example

v1 q4 $ 2 q 4 $

3 q 4 $ 4 q 4 <

Formula

"v"

v<%j

Notice L2 is calculated per the formula you entered, and

L2(1)= in the author line is highlighted to indicate the list is the

result of a formula.

³ Problem

On a November day, a weather report on the Internet listed

the following temperatures.

Paris, France

Moscow, Russia

Montreal, Canada

8ÄC

-1ÄC

4ÄC

Convert these temperatures from degrees Celsius to degrees

Fahrenheit.

Reminder: F = C + 32

vv 4

v " 5

8 $ M1 $ 4 $ "

v "1

9 W 5 V v 1 T 32

If Sydney, Australia is 21ÄC, find the temperature in degrees

Fahrenheit.

!$$$21 <

Statistics

% t

% t displays a menu with the following options:

•

1-Var Stats analyzes statistical data from 1 data set with 1

measured variable, x.

2-Var Stats analyzes paired data from 2 data sets with 2

measured variables—x, the independent variable, and y,

the dependent variable.

•

StatVars displays a secondary menu of statistical

variables. The StatVars menu only appears after you have

calculated 1-Var or 2-Var stats. Use $ and # to locate

the desired variable, and press < to select it.

Variables

Definition

Number of x or (x,y) data points.

Mean of all x or y values.

Ï or Ð

Sx or Sy

Îx or Îy

Òx or Òy

Sample standard deviation of x or y.

Population standard deviation of x or y.

Sum of all x or y values.

Òx²or Òy²

Sum of all x²or y²values.

Sum of (x …y) for all xy pairs.

Linear regression slope.

Linear regression y-intercept.

Correlation coefficient.

Òxy

xÅ (2-Var)

Uses a and b to calculate predicted x

value when you input a y value.

yÅ (2-Var)

Uses a and b to calculate predicted y

value when you input an x value.

MinX

Minimum of x values.

Q1 (1-Var)

Median of the elements between MinX

and Med (1st quartile).

Med

Median of all data points.

Q3 (1-Var)

Median of the elements between Med

and MaxX (3rd quartile).

MaxX

Maximum of x values.

To define statistical data points:

1. Enter data in L1, L2, or L3. (See Data editor.)

2. Press % t. Select 1-Var or 2-Var and press <.

3. Select L1, L2, or L3, and the frequency.

4. Press < to display the menu of variables.

5. To clear data, press v v, select a list to clear, and

press <.

Examples

1-Var: Find the mean of {45, 55, 55, 55}

Clear all

data

v v$$$

Data

Stat

<45 $ 55 $ 55

$55 <

% t 1

$ $

Stat Var

2 <

V 2 <

2-Var: Data: (45,30); (55,25). Find: xÅ(45)

Clear all

data

v v$$$

Data

Stat

<45 $ 55 $"30

$25 $

%t 2

(Your screen may not

show 3:StatVars if you

did not previously perform

a calculation.)

$ $

<######

<45 E <

³ Problem

For his last four tests, Anthony obtained the following scores.

Tests 2 and 4 were given a weight of 0.5, and tests 1 and 3

were given a weight of 1.

Test No.

Score

0.5

Coefficient

1. Find Anthony’s average grade (weighted average).

2. What does the value of n given by the calculator

represent? What does the value of Òx given by the

calculator represent?

Reminder: The weighed average is

Σx

(12)(1) + (13)(0.5) + (10)(1) + (11)(0.5)

-----

----------------------------------------------------------------------------------------------------

1 + 0.5 + 1 + 0.5

3. The teacher gave Anthony 4 more points on test 4 due to a

grading error. Find Anthony’s new average grade.

v v4

v"5

12 $13 $10 $11 $"1 $ 8

5 $1 $ 85 $

%t1

(Your screen may not show

3:StatVars if you did not previously

perform a calculation.)

$""< $

Anthony has an average (Ï) of 11.33 (to the nearest

hundredth).

On the calculator, n represents the total sum of the weights

n = 1 + 0.5 + 1 + 0.5.

Òx represents the weighted sum of his scores.

(12)(1) + (13)(0.5) + (10)(1) + (11)(0.5) = 34.

Change Anthony’s last score from 11 to 15.

v $$$ 15 $

%t1 $$ <

If the teacher adds 4 points to Test 4, Anthony’s average

grade is 12.

³ Problem

The table below gives the results of a braking test.

Test No.

Speed

(kph)

Braking

distance

(m)

5.30

14.45

20.21

38.45

Use the relationship between speed and braking distance to

estimate the braking distance required for a vehicle traveling

at 55 kph.

A hand-drawn scatter plot of these data points suggest a

linear relationship. The TI-30XS MultiView™ calculator uses

the least squares method to find the line of best fit, y'=ax'+b,

for data entered in lists.

v v 4

33 $49 $ 65 $ 79 $ " 5.3 $

14.45 $ 20.21 $ 38.45 $

%t 2

Press $ to view a and b.

This line of best fit, y'=0.67732519x'-18.66637321 models the

linear trend of the data.

Press $ until y' is highlighted.

< 55 E <

The linear model gives an estimated braking distance of

18.59 meters for a vehicle traveling at 55 kph.

Probability

This key displays two menus: PRB and RAND.

PRB contains the following options:

nPr

nCr

Calculates the number of possible

permutations of n items taken r at a time,

given n and r. The order of objects is

important, as in a race.

Calculates the number of possible

combinations of n items taken r at a time,

given n and r. The order of objects is not

important, as in a hand of cards.

A factorial is the product of the positive

integers from 1 to n. n must be a positive

whole number { 69.

RAND contains the following options:

rand

Generates a random real number between 0

and 1. To control a sequence of random

numbers, store an integer (seed value) | 0 to

rand. The seed value changes randomly every

time a random number is generated.

randint(

Generates a random integer between 2

integers, A and B, where A { randint { B.

Separate the 2 integers with a comma.

Examples

nPr

3 <

nCr

52 H 2

5 <

4 H

3 <

STO 4 rand 5 L H "

1 <

Rand

H " 1 <

Randint(

H " 2

3 % ` 5 E <

³ Problem

An ice cream store advertises that it makes 25 flavors of

home made ice cream. You like to order three different flavors

in a dish. How many combinations of ice cream can you test

over a very hot summer?

H 2

3 <

You can choose from 2300 dishes with different combinations

of flavors! If a long hot summer is about 90 days long, you will

need to eat about 25 ice cream dishes each day!

Function table

The function table allows you to display a defined function in a

tabular form. To set up a function table:

Press o.

Enter a function and press <. Functions allow up to

one level of fractions.

Select the table start, table step, auto, or ask-x options

and press <.

The table is displayed using the specified values.

Start

Specified the starting value for the

independent variable, x.

Step

Specified the incremental value for the

independent variable, x. The step can be

positive or negative, but cannot be zero.

Auto

The TI-30XS MultiView™ calculator

automatically generates a series of

values based on table start and table

step.

Ask-x

Lets you build a table manually by

entering specific values for the

independent variable, x.

³ Problem

Find the vertex of the parabola, y = x(36 - x) using a table of

values.

Reminder: The vertex of the parabola is the point on the line

of symmetry of the parabola.

ozD36 UzE<

- 15 $ - 3 $ $ <

After searching close to x = 18, the point (18, 324) appears to

be the vertex of the parabola since it appears to be the turning

point of the set of points of this function. To search closer to

x = 18, change the Step value to see points closer to

(18, 324).

³ Problem

A charity collected $3,600 to help support a local food kitchen.

$450 will be given to the food kitchen every month until the

funds run out. How many months will the charity support the

kitchen?

Reminder: If x = months and y = money left, then

y = 3600 - 450x.

o3600 U450 z

< 0 $1 $"< $ <

Input guesses <

The support of $450 per month will last for 8 months since

y(8) = 3600 - 450(8) = 0 as shown in the table of values.

Errors

When the TI-30XS MultiView™ calculator detects an error, it

returns an error message with the type of error.

To correct the error, note the error type and determine the

cause of the error. If you cannot recognize the error, use the

following list, which describes error messages in detail.

Press - to clear the error message. The previous screen

is displayed with the cursor at or near the error location.

Correct the expression.

ARGUMENT — A function does not have the correct number

of arguments.

DIVIDE BY 0 —

•

You attempted to divide by 0.

In statistics, n = 1.

DOMAIN — You specified an argument to a function outside

the valid range. For example:

•

For xÑy: x = 0 or y < 0 and x is not an odd integer.

•

For y^x: y and x = 0; y < 0 and x is not an integer.

For Ñx: x < 0.

For LOG or LN: x { 0.

For TAN: x = 90Ä, -90Ä, 270Ä, -270Ä, 450Ä, etc., and

equivalent for radian mode.

•

For SIN^-1or COS^-1: |x| > 1.

For nCr or nPr: n or r are not integers | 0.

For x!: x is not an integer between 0 and 69.

EQUATION LENGTH ERROR — An entry exceeds the digit

limits (80 for stat entries or 47 for constant entries); for

example, combining an entry with a constant that exceeds the

limit.

FRQ DOMAIN — FRQ value (in 1-Var stats) < 0 or > 99, or

not an integer.

OVERFLOW — |Á| ‚ 1¯10, where Á is an angle in a trig,

hyperbolic, or R ´Pr( function.

STAT — Attempting to calculate 1-var or 2-var stats with no

defined data points, or attempting to calculate 2-var stats

when the data lists are not of equal length.

DIM MISMATCH — Attempting to create a formula when the

lists are not of equal length.

FORMULA — The formula does not contain a list name (L1,

L2, or L3), or the formula for a list contains its own list name.

For example, a formula for L1 contains L1.

SYNTAX — The command contains a syntax error: entering

more than 23 pending operations or 8 pending values; or

having misplaced functions, arguments, parentheses, or

commas. If using q, try using W.

INVALID FUNCTION — Invalid function entered in the

function table.

LOW BATTERY — Replace the battery.

Note: This message displays briefly and then disappears.

Pressing - does not clear this message.

Battery information

Battery precautions

• Do not leave batteries within the reach of children.

• Do not mix new and used batteries. Do not mix brands

(or types within brands) of batteries.

• Do not mix rechargeable and non-rechargeable

batteries.

• Install batteries according to polarity (+ and -) diagrams.

• Do not place non-rechargeable batteries in a battery

recharger.

• Properly dispose of used batteries immediately.

• Do not incinerate or dismantle batteries.

• Seek Medical Advice immediately if a cell or battery has

been swallowed. (In the USA, contact the National

Capital Poison Center at 1-800-222-1222.)

Battery disposal

Do not mutilate, puncture, or dispose of batteries in fire. The

batteries can burst or explode, releasing hazardous

chemicals. Discard used batteries according to local

regulations.

How to remove or replace the battery

The TI-30XS MultiView™ calculator uses one 3 volt CR2032

lithium battery.

Remove the protective cover and turn the TI-30XS MultiView

calculator face downwards.

• With a small screwdriver, remove the screws from the

back of the case.

• From the bottom, carefully separate the front from the

back. Be careful not to damage any of the internal parts.

• With a small screwdriver (if required), remove the

battery.

• To replace the battery, check the polarity (+ and -) and

slide in a new battery. Press firmly to snap the new

battery into place.

Important: When replacing the battery, avoid any

contact with the other components of the TI-30XS

MultiView™ calculator.

• If necessary, press & and - simultaneously to

reinitialize the calculator (erases the memory and all the

settings and displays a MEM DELETED message).

Dispose of the dead battery immediately and in accordance

with local regulations.

Per CA Regulation 22 CCR 67384.4, the following applies to

the button cell battery in this unit:

Perchlorate Material - Special handling may apply.

See www.dtsc.ca.gov/hazardouswaste/perchlorate

In case of difficulty

Review instructions to be certain calculations were performed

properly.

Press & and - at the same time. This clears all settings

and memory.

Check the battery to ensure that it is fresh and properly

installed.

Change the battery when:

•

& does not turn the unit on, or

The screen goes blank, or

You get unexpected results.

Texas Instruments Support and Service

For general information

education.ti.com

Home Page:

education.ti.com/support

KnowledgeBase

and e-mail

inquiries:

(800) TI-CARES / (800) 842-2737

For U.S., Canada, Mexico, Puerto

Rico, and Virgin Islands only

Phone:

education.ti.com/international

International

information:

For technical support

education.ti.com/support

KnowledgeBase

and support by

e-mail:

(972) 917-8324

Phone

(not toll-free):

For product (hardware) service

Customers in the U.S., Canada, Mexico, Puerto Rico and

Virgin Islands: Always contact Texas Instruments Customer

Support before returning a product for service.

All other customers: Refer to the leaflet enclosed with this

product (hardware) or contact your local Texas Instruments

retailer/distributor.

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