Texas Instruments Ti 34 Multiview Scientific Calculator Users Manual

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Copyright © 2007 Texas Instruments Incorporated 1

TI-34 MultiView™

Scientific Calculator

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

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

Switching the TI-34 MultiView calculator on and off .............3

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

Home screen ........................................................................3

2nd functions ........................................................................4

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

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

Scrolling ..............................................................................10

Answer toggle .....................................................................11

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

Order of operations .............................................................12

Clearing and correcting .......................................................14

Math operations ..................................................................14

Integer divide ......................................................................16

Fractions .............................................................................17

Percentages ........................................................................19

x10n key ..............................................................................20

Powers, radicals, and reciprocals .......................................21

Pi .........................................................................................22

Angle menu .........................................................................23

Trigonometry .......................................................................25

Logarithms and exponential functions ................................27

Stored operations (op) ........................................................28

Memory and stored variables .............................................30

Data editor and list conversions ..........................................32

Statistics .............................................................................34

2

Probability ...........................................................................39

Errors ..................................................................................41

Battery information ..............................................................43

In case of difficulty ..............................................................44

Texas Instruments Support and Service .............................45

Important information

Texas Instruments makes no warranty, either express or

implied, including but not limited to any implied warranties of

merchantability and fitness for 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 consequential damages in connection with or

arising out of the purchase or use of these materials, and the

sole and exclusive liability of Texas Instruments, regardless of

the form of action, shall not exceed the purchase price of this

product. Moreover, Texas Instruments shall not be liable for

any claim of any kind whatsoever against the use of these

materials by any other party.

MathPrint, APD, Automatic Power Down, EOS, and MultiView

are trademarks of Texas Instruments Incorporated.

3

Examples

Each section is followed by instructions for keystroke

examples that demonstrate the TI-34 MultiView™ functions.

Examples assume all default settings, as shown in the Modes

section.

For more activities and examples, see the TI-34 MultiView

Teacher Guide available at education.ti.com/guides.

Switching the TI-34 MultiView calculator on

and off

& turns on the TI-34 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-34 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:

1. Press and release the % key.

2. 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-34

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.

4

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

consecutive nested functions and expressions, which include

fractions, square roots, exponents with ^, xÑ, and x2.

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.

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, 3 %c 125 < calculates the cube root of

125 and returns the result, 5.

Indicator Definition

2ND 2nd function.

FIX Fixed-decimal setting. (See Mode section.)

SCI Scientific notation. (See Mode section.)

DEG, RAD Angle mode (degrees or radians). (See Mode

section.)

L1, L2, L3 Displays above the lists in Data Editor.

The TI-34 MultiView™ calculator is performing

an operation.

º »An entry is stored in memory before and/or after

the active screen. Press # and $ to scroll.

¸ ¹An entry or menu displays beyond 16 digits.

Press ! and " to scroll. (See Scrolling on

page 10 for more information.)

5

Modes

q

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 shown.

DEG RAD Sets the angle mode to degrees or radians.

NORM SCI 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

1.2345678x105 (which is the same as 123456.78).

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.

Note: In some restricted environments (for example, data

editor and the %h menu), the TI-34 MultiView™

calculator may display E instead of x10n.

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.

6

MATHPRINT mode displays most inputs and outputs in

textbook format. Choose the MathPrint™ mode for better

visual confirmation that math expressions have been

entered correctly and to better reinforce the correct math

notation.

Note: Switching the mode between Classic and MathPrint

clears calculator history and the stored operations (op1 or

op2) value.

Un/d n/d Determines how fractional results are displayed.

Un/d displays results as a mixed number, if applicable. n/d

displays results as a simple fraction.

MANSIMP AUTOSIMP Determine whether or not a

fractional result will be simplified automatically.

MANSIMP The user simplifies fractions manually step-by-

step. » next to the resulting fraction signifies that the

fraction is not yet in simplest form. See Fractions, }

for details.

AUTOSIMP The calculator automatically simplifies

fractional results to the lowest terms.

Example of Classic and MathPrint modes

Classic mode MathPrint mode

Sci Sci

Float mode and answer

toggle key. Float mode and answer toggle

key.

Fix 2 Fix 2 and answer toggle key.

7

Menus

Certain keys display menus: H, %=, %A,

%B, d, vv, %t, %,

%h, and %{.

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 %s.

The menu chart shows the menu keys and the menus they

display.

n/d U n/d

Mansimp

Autosimp

Exponent example Exponent example

Cube root example Cube root example

8

H%=

%A %B

d

PRB RAND DMS R ¶P

1: nPr 1: rand 1: Ä1: R ´Pr(

2: nCr 2: randint( 2: Å2: R ´PÁ(

3: ! 3: Æ3: P ´Rx(

4: r 4: P ´Ry(

5: ´DMS

LOG LN TRIG

1: log( 1: ln( 1: sin(

2: 10^( 2: e^( 2: cos(

3: tan(

4: sin-1(

5: cos-1(

6: tan-1(

MATH NUM

1: lcm( 1: abs(

2: gcd( 2: round(

3: 33: iPart(

4: 3Ñ(4: fPart(

5: min(

6: max(

7: remainder(

9

vv

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

display the menu.)

Press v while you are in the Add/Edit Conversion option

of the CNVRSN menu to display this menu:

%t

CLEAR CNVRSN

1: Clear L1 1: Add/Edit Cnvrs

2: Clear L2 2: Clear L1 Cnvrs

3: Clear L3 3: Clear L2 Cnvrs

4: Clear ALL 4: Clear L3 Cnvrs

5: Clear ALL

Ls

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 on page 34 for a

full list.

10

% %h %{

Scrolling

! " # $

Press ! or " to scroll entries on the Home screen and to

navigate in menus. Press %! or %" to move the

cursor directly to the beginning or end of the current

expression.

# and $ moves the cursor up and down through menu

items, entries in Data editor, and previous entries on the

Home screen. You can reuse a previous entry by pressing

< to paste it on the bottom line, and then evaluating a new

expression.

%# moves the cursor to the top entry of the active column

in Data editor, or to the previous entry on the Home screen.

Press %# again to move the cursor to the oldest entry on

the Home screen.

%$ moves the cursor to the first blank row of the active

column in Data editor, or below the last entry on the Home

screen.

Examples

Reset Recall Var Clear Var

1: No 1: x = 1: Yes

2: Yes 2: y = 2: No

3: z =

4: t =

5: a =

6: b =

7: c =

Scroll 1 T 1 <

2 T 2 <

11

Answer toggle

r

Press the r key to toggle the display result between fraction

and decimal answers, and exact pi and decimal.

Example

Last answer

%i

The most recently calculated result is stored to the variable

ans. ans is retained in memory, even after the TI-34

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.

3 T 3 <

4 T 4 <

# # # # <

T 2 <

Answer

toggle 2 g <

r

12

Examples

Order

of

operations

The TI-34 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.

ans 3 V 3 <

V 3 <

3 %c %i

<

1st Expressions inside parentheses.

2nd Functions that need a ) and precede the argument,

such as sin, log, and all R ¶P menu items.

3rd Fractions.

4th Functions that are entered after the argument,

such as x2 and angle unit modifiers.

13

Examples

5th Exponentiation (^) and roots (xÑ).

Note: In Classic mode, exponentiation using G 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 G is

evaluated from right to left. The expression 2^3^2

is evaluated as 2^(3^2), with a result of 512.

The TI-34 MultiView™ calculator evaluates

expressions entered with F from left to right in

both Classic and MathPrint modes.

6th Negation (M).

7th Permutations (nPr) and combinations (nCr).

8th Multiplication, implied multiplication, division.

9th Addition and subtraction.

10th Conversions (n/d ¶U n/d, f¶d, ´DMS).

11th < completes all operations and closes all open

parentheses.

+ Q P M 60 T 5 V M 12 <

(M)1 T M 8 T 12 <

( ) b 9 T 16 <

14

Clearing

and

correcting

Math operations

d

d displays a menu with two submenus. Some functions

require you to enter 2 values, numbers, or expressions that

equal or return a number. %` separates two values.

4 V D 2 T 3 E <

4 D 2 T 3 E <

^ and xÑb 3 G 2 " T 4 G 2

<

-Clears characters and error messages.

Clears characters on the entry line, then

clears the display when you press -

again. Scroll up to clear entries in history.

Backs up one screen in applications.

JDeletes the character at the cursor.

%f Inserts a character at the cursor.

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

% 2Resets the TI-34 MultiView™ calculator.

Returns unit to default settings; clears

memory variables, pending operations,

all entries in history, functions in

applications, and statistical data; clears

stored operations (op1 or op2), and ans.

15

Examples

MATH submenu:

lcm(n1, n2)

gcd(n1, n2)Finds the least common multiple (lcm) or

greatest common divisor (gcd) of two

values, n1 and n2, which are positive

integers.

n3Calculates the cube of n.

3Ñ(nCalculates the cube root of n.

NUM submenu:

abs(n)Displays absolute value of n.

round(n,digits)Rounds n to specified number of digits.

iPart(n)

fPart(n)Returns only the integer part (iPart) or

fractional (decimal) part (fPart) of n.

min(n1, n2)

max(n1, n2)Returns the minimum (min) or maximum

(max) of two values, n1 and n2.

remainder(n1, n2)Returns the remainder resulting from the

division of 2 values, n1 by n2.

abs d " 1 M 2 P 3

<

round d " 2 g %` 3

E <

iPart, fPart d " 3

23 8 45 E <

d " 4

23 8 45 E <

3Ñn, n32 d 3 <

16

³ Problem

Find the least common multiple of 30 and 84 using prime

factorization by hand. Verify your work using the calculator.

The lcm (30, 84) is 420.

Integer

divide

%Y

%Y divides 2 positive integers and displays the

quotient, q, and the remainder, r. Only the quotient is stored to

ans.

Example

³ Problem

How many hours, minutes, and seconds are there in 17589

seconds?

d4

8 <

remainder d " 7

10 %` 6 E <

2 V 3 V 5 <

2 F V 3 V 7 <

2 F V 3 V 5 V 7 <

d 1

30 %` 84 E <

Int divide 17 %Y 3 <

17589 %Y 60 <

17

17589 seconds equals 4 hours, 53 minutes, and 9 seconds.

Fractions

P@ %O } %j

In the MathPrint™ mode, fractions with P can include

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 fractions in the numerator or

denominator.

Note: In Classic mode and Data editor, use W to perform

complex division problems.

Calculations using fractions can display fraction or decimal

results, depending on input.

•P enters a simple fraction. Pressing P before or after a

number can result in different behavior. Entering a number

before pressing P makes that number the numerator.

To enter fractions with operators, 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.

•@ enters a mixed number. Press @ between the entry

of the unit and the numerator, and press $ between the

entry of the numerator and the denominator.

•} n < simplifies a fraction by the factor n specified

The entry n must be a positive integer.

•} < automatically simplifies a fraction using the

lowest common prime factor. The factor displays.

Repeatedly press } < to simplify the fraction to its

lowest terms.

%i %Y 60 <

18

•%O converts between simplie fraction and mixed

number form.

•%j converts results between fractions and

decimals.

From q, you can select

•ManSimp (default) The user simplifies fractions manually

step-by-step. » next to the resulting fraction signifies that

the fraction is not yet in simplest form.

•AutoSimp The calculator automatically simplifies

fractional results to the lowest terms.

Examples of Classic mode

Examples of MathPrint™ mode

n/d, U n/d 3 P 4 T 1 @ 7 P12

<

Simp } 2 <

} 2 <

n/d ¶U n/d 9 P 2 %O <

f ¶d4 @1 P 2 %j

<

n/d, U n/d P 3 $ 4 " T 1 @ 7

$ 12 <

Simp } 2 <

19

Percentages

_%N

To perform a calculation involving a percentage, enter a

number and press _to append the % sign.

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

value.

Example

} 2 <

n/d ¶U n/d 9 P 2 " %O

<

f ¶d4 @ 1 $ 2 "

%j <

Examples

(MathPrint™

mode only)

P 1 8 2 T 1 8 3 $ 4

" <

(MathPrint

mode only) P M 5 T b 5 F

U 4 D 1 E D 6 E

$ 2 D 1 E " <

2 _V 150 <

1 P 5 " %N <

20

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, what is the total value of the

metal extracted?

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

a total value of $89,012.

x10

n

key

C

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

format.

Example

3 _V 5000 <

T 2 8 3 _V

7300 <

V 280 <

2 C 5 <

q $ " <

- <

21

Powers, radicals, and reciprocals

Examples

FCalculates the square of a value. The TI-34

MultiView™ calculator evaluates expressions

entered with F from left to right in both Classic

and MathPrint™ modes. Pressing 3 F F

calculates as (32)2 = 81.

GRaises a value to the power indicated. If you

insert an expression as the exponent, you must

place it between parentheses.

In Classic mode, exponentiation using G 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 G is

evaluated from right to left. The expression

2^3^2 is evaluated as 2^(3^2), with the result

of 512.

bCalculates the square root of a positive value.

%c Calculates the xth root of any positive value and

any odd integer root of a negative value.

%a Calculates the reciprocal of a value.

5 F T 4 G D 2 T 1 E <

10 G M 2 <

b 49 <

b 3 F T 2 G 4 <

22

Pi

g

À 3.141592653590 for calculations.

À 3.141592654 for display.

Example

Note: Classic mode displays calculations with À as a decimal

approximation.

³ Problem

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

Reminder: A = Àr2.

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.

6 %c 64 <

D 2 T 6 E %a <

À2 V g <

r

g V 12 G 2 <

r

≈

≈

23

Angle menu

%=

%= displays the choice of two submenus that enable

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

('), seconds ("), radian (r), or convert units using 4DMS. You

can also convert between rectangular coordinate form (R) and

polar coordinate form (P).

Choose an angle mode from the mode screen. You can

choose from DEG (default) or RAD. Entries are interpreted

and results displayed according to the angle mode setting

without needing to enter an angle unit modifier.

If you specify an angle unit modifier from the Angle menu, the

calculation is performed in that angle type, but the result will

be given in the angle mode setting.

Examples

RAD q " <

- %B 1

30 %= 1 E <

DEG q <

Ä Å Æ - 2 g %= 4

<

4DMS 1 8 5 %= 5 <

24

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.

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

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

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.

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

R ¶P- q $ $ " "

<

- %= " 3

5 %` 30 E <

%= " 4

5 %` 30 E <

%= " 1

3 %` 4 E <

%= " 2

3 %` 4 E <

- q $ $ " " " <

- 12 %=

1

31 %= 2

45 %= 3 T 26 %= 1

54 %= 2

38 %= 3 <

%= 5 <

25

³ Problem

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

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

mode and calculate the sine of À / 6 radians.

Note: Press - to clear the screen between problems.

Retain radian mode on the calculator and calculate the sine of

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

of À / 6 radians.

Trigonometry

%B

%B displays a menu of all trigonometric functions (sin,

cos, tan, sin-1, cos-1, tan-1). Select the trigonometric function

from the menu and then enter the value. Set the desired

Angle mode before starting trigonometric calculations.

Example Degree mode

- %B 1

30 E <

q " < -

%B 1 g P 6 " E <

%B 1

30 %= < E <

q < -

%B 1 g P 6 " %= 4

E <

Tan q < $ $ <

- %B 3

4 5 E <

26

Example Radian mode

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-1 %B 6

1 E <

Cos 5 V %B 2

60 E <

Tan q " < -

%B 3 g P 4 " E

<

Tan-1 %B 6

1 E <

r

Cos 5 V %B 2 g P 4

" E <

tan A = therefore m±A = tan-1

m±A + m±B + 90Ä = 180Ä

therefore m±B = 90Ä - m±A

c =

7

3

--- 7

3

---⎠

⎞

⎝

⎛

3272

+

c

B

A

3

7

C

27

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.

Logarithms and exponential functions

%A

%A displays two submenus containing the functions log,

10^, ln, and e^. Select the submenu, the desired log function,

then enter the value and close the expression with E <.

•log yields the common logarithm of a number.

•10^ raises 10 to the power you specify.

•ln yields the logarithm of a number ot the base of e

(e2.718281828459).

•e^ raises e to the power you specify.

Examples

q< $ $ " " < -

%B 6

7 P 3 " E <

90 U %i <

b 3 F T 7 F <

LOG %A 1

1 E <

10^%A 2 %A 1

2 E <

%A 1 %A 2

5 " E <

≈

28

Stored

operations (op)

m o %n %p

The TI-34 MultiView™ calculator stores two operations, op1

and op2. To store an operation to op1 or op2 and recall it:

1. Press %n or %p. You may have to press

- if a previous operation is displayed.

2. Enter the operation (any combination of numbers,

operations, or menu items and their arguments).

3. Press < to save the operation to memory.

4. m or orecalls and displays the operation on the

entry line. The TI-34 MultiView™ calculator automatically

calculates the result (without pressing <).

Examples

LN %A " 1

5 E V 2 <

e^%A " 2

8 5 <

Set op1 %n V 2 T 3

<

op1 4 m

6 m

Set op2 %p V 10 <

29

³ Problem

Harry's father will pay him $15 per week if he helps out a few

hours at his family's grocery store. Harry would like to save all

he earns to buy several of his favorite books and video

games. He estimates that he will need to earn $240 to buy

everything he would like to have. Create a table of Harry's

weekly earnings to see how his savings will grow. How many

weeks will Harry need to work to save enough money for his

purchases?

op2 1 o

o

o

%n

(Press - if necessary to clear a

previous operation.)

T 15 <

0

m m m m

m m m m

m m m m

m m m m

30

The table of values of Harry's weekly earnings is shown on

the screens. From this table, we can read that Harry will have

to work 16 weeks to earn $240.

Memory and stored variables

z L %h %{

The TI-34 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 L to 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 acesses the 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 all variable values. Press %{

and select 1: Yes to clear all variable values.

Examples

Clear Var %{ 1

Store 15 L z

<

31

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?

Recall %h

< F <

L z z

<

z z

< W 4 <

350 V 560 L z <

340 V 610 L z z <

150 V %h

32

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 conversions

v

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 conversions accept f ¶d, ´%, ´Simp, and nd ¶Und.

Numeric notation, decimal notation, and angle modes affect

the display of an element (except fractional elements).

Example

< <

210 V %h < <

150 V z z <

210 V z z <

L1 v1 P 4 $ 2 P 4 $

3 P 4 $ 4 P 4 <

33

Notice L2 is calculated per the conversion you entered, and

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

result of a conversion.

³ Problem

Find the decimal representation of , , and . From this

pattern, can you predict the decimal representation for ?

Check your answer using the lists on the calculator.

Conversion " v "

<

v < %j

<

v v 4

v " 5

1 P 9 $ 2 P 9 $ 3 P 9 <

" v " 1

v 1 %j

1

9

--- 2

9

--- 3

9

---

7

9

---

34

The pattern appears to show that the decimal representation

is a repetition of the number in the numerator for ninths.

Entering , , and finally validates that statement.

Notice the last digit in the list is rounded, so 0.777777… is

shown rounded to 0.77778.

Statistics

%t v

%t displays a menu with the following options:

•1-Var Stats analyzes 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.

<

Input the rest of the fractions to test

your pattern. Notice L2 updates as

you enter in L1.

Variables Definition

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

Ï or ÐMean of all x or y values.

Sx or Sy Sample standard deviation of x or y.

Îx or ÎyPopulation standard deviation of x or y.

x or ySum of all x or y values.

x2 or y2Sum of all x2 or y2 values.

4

9

--- 5

9

--- 6

9

--- 7

9

---

ΣΣ

ΣΣ

35

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 vv, select a list to clear, and

press <.

Examples

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

xy Sum of (x …y) for all xy pairs.

aLinear regression slope.

bLinear regression y-intercept.

rCorrelation coefficient.

x' (2-Var)Uses a and b to calculate predicted x value

when you input a y value.

y' (2-Var)Uses a and b to calculate predicted y value

when you input an x value.

Clear all

data v v $ $ $

Data < 45 $ 55 $ 55 $

55 <

Stat %t

1 $ $

<

Σ

36

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

'(45)

Stat Var %s %t 3

2 <

V 2 <

Clear all

data v v $ $ $

Data < 45 $ 55 $ " 30

$ 25 $

Stat %t

(Your screen may not

show 3:StatVars if you

did not previously perform

a calculation.)

2 $ $

<

%s %t 3 #

#

< 45 E <

37

³ Problem

For her last four exams, Ada earned the following scores.

1. Find Ada’s average grade on the four exams.

2. Ada found an error in the two of her test scores. Test 2 was

changed to 88 and Test 4 was changed to 84. Find Ada's

new average grade of the four exams.

3. What do you notice about Ada's average grades before the

point change and after the point change?

Ada's average did not change. It remained 82.5 after the

grade corrections.

Test No. 1234

Score 73948578

Clear all

data v v4

Data 73 $ 94 $ 85 $ 78 $

%t

1 $ $ <

The average grade

is 82.5.

v $ 88 $$ 84 $

%t 1

$ $ <

The new average grade

is 82.5.

38

The reason the average did not change is that Test 2 had a

decrease of 6 points while Test 4 had an increase of 6 points.

Overall, the total points for all four tests remained the same

(330 points).

³ Problem

The table below gives the results of a braking test.

Using the relationship between these data points, estimate

the stopping distance required for a vehicle traveling at

55 kph.

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

linear relationship. The TI-34 MultiView™ calculator uses the

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

data entered in lists.

Test No. 1 2 3 4

Speed

(kph) 33 49 65 79

Distance

(m) 5.30 14.45 20.21 38.45

v v 4

33 $ 49 $ 65 $ 79 $ " 5 8 3

$ 14 8 45 $ 20 8 21 $ 38 8

45 $

%t

2 $ $

<

39

This line of best fit, y

' = 0.6773251896x

'-18.66637321

models the linear trend of the data.

The linear model gives an estimated braking distance of

18.59 meters for a vehicle traveling at 55 kph.

Probability

H

This key displays two menus: PRB and RAND.

PRB contains the following options:

Press $ to view a and b.

%s %t 3 #

< 55 E <

nPr 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. n and r must be

positive integers.

nCr 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. n and r must

be positive integers.

!A factorial is the product of the positive

integers from 1 to n. n must be a whole

number { 69.

40

RAND contains the following options:

Examples

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.

nPr 8

H

< 3 <

nCr 52 H 2

5 <

! 4 H

3 <

STO 4rand 5 L H "

1 <

41

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

out over a very hot summer?

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!

Errors

When the TI-34 MultiView™ calculator detects an error, it

returns an error message with the type of error.

To correct the error, note the error type and 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.

rand H " 1 <

randint( H " 2

3 %` 5 E <

25

H 2

3 <

42

ARGUMENT — A function does not have the correct number

of arguments.

DIVIDE BY 0 — You attempted to divide by 0.

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 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-1 or cos-1: |x| > 1.

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

•For }: Entering a simplify value of 0; using a simplify

value of ‚ 1E10; attempting to simplify non-fractions.

EQUATION LENGTH — An entry exceeds the digit limits (88

for entry line and 47 for stat entries or constant entries); for

example, combining an entry with a constant that exceeds the

limit.

FRQ DOMAIN — FRQ value (in 1-var statistics) < 0.

OVERFLOW — You attempted to enter, or you have

calculated, a number that is beyond the range of the

calculator.

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.

CONVERSION —

• The conversion does not contain a list name (L1, L2, or L3)

followed by a conversion (for example, f ¶d).

• You attempted to enter a function (for example, L1 + 3).

SYNTAX — The command contains a syntax error, or has

misplaced functions, arguments, parentheses, or commas. If

using P, try using W.

43

OP NOT DEFINED — Operation (op1 or op2) is not defined.

MEMORY LIMIT —

• The calculation contains too many pending operations

(more than 23).

• If using op1 or op2, you attempted to enter more than four

levels of nested functions using fractions, square roots,

exponents with ^, xÑ, and x2 (MathPrint™ mode only).

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 collect 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.

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

44

How to remove or replace the battery

The TI-34 MultiView™ calculator uses one 3 volt CR2032

lithium battery.

Remove the protective cover and turn the TI-34 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-34 MultiView

calculator.

Dispose of the dead battery immediately and in accordance

with local regulations.

In

case

of

difficulty

Review instructions to be certain calculations were performed

properly.

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.

45

Texas Instruments Support and Service

For general information

For technical support

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.

Home Page: education.ti.com

KnowledgeBase

and e-mail

inquiries:

education.ti.com/support

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

For U.S., Canada, Mexico, Puerto

Rico, and Virgin Islands only

International

information: education.ti.com/international

KnowledgeBase

and support by

e-mail:

education.ti.com/support

Phone

(not toll-free): (972) 917-8324