Texas Instruments TI-34 User Manual

TI-34 MultiView™

Scientific

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

n

x10

key ..............................................................................20

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

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

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

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

Logarithms and exponential functio n s ........................ ... .....27

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

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

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

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

Calculator

Copyright © 2007 Texas Instruments Incorporated 1

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 imp lied 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 Inst ruments, regar dless 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.

2

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.

3

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 x

2

.

When you calculate an entry on the Home screen, d epen ding
upon space, the answer is displayed either d irectly 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 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.

¸ ¹ An entry or menu displays beyond 16 digits.

Press ! and " to scroll. (See Scrolling on
page 10 for more information.)

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.

4

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

1.2345678x10
Note: C is a shortcut key to enter a number in scien tific

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

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.

5

(which is the same as 123456.78).

E instead of x10

n

.

5

MATHPRINT mode displays most inputs and output s 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-by­step. » next to the resulting fraction signifies that the
fraction is not yet in simplest for m . See Fractions, }
for details.

AUTOSIMP The calculator automatically sim pl ifies
fractional results to the lowest terms.

Example of Classic and MathPrint modes

Classic mode MathPrint mode

Sci Sci

Float mode and answer
toggle key.

Fix 2 Fix 2 and answer toggle key.

Float mode and answer toggle
key.

6

n/d U n/d

Mansimp

Autosimp

Exponent example Exponent example

Cube root example Cube root example

Menus

Certain keys display menus: H, %=, %A,
%B, d, vv
%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.

, %t, %,

7

H%=

PRB RAND DMS R ¶P
1: nPr 1: rand 1: Ä 1: R ´Pr(
2: nCr 2: randint( 2: Å 2: R ´PÁ(
3: ! 3: Æ 3: P ´Rx(

4: r 4: P ´Ry(
5: ´DMS

%A %B

LOG LN TRIG
1: log( 1: ln( 1: sin(
2: 10^( 2: e^( 2: cos(

3: tan(

-1

4: sin

(

-1

(

5: cos

-1

6: tan

(

d

MATH NUM
1: lcm( 1: abs(
2: gcd( 2: round(

3

3:

3

Ñ(

4:

3: iPart(
4: fPart(
5: min(

6: max(
7: remainder(

8

vv

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

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

Press v while you are in the Add/Edit Conversion option
of the CNVRSN menu to display this menu:

Ls
1: L1
2: L2
3: L3

%t

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.

9

% %h %{

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 =

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. Y ou 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

Scroll 1 T 1 <

2 T 2 <

10

3 T 3 <

4 T 4 <

# # # # <

T 2 <

Answer toggle

r

Press the r key to toggle the display result between fraction
and decimal answers, and exact pi and decimal.

Example

Answer
toggle

2 g <

r

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 (

part of an entry . ans and the operator are both displayed.

T, U, and so forth) as the first

11

Examples

ans 3 V 3 <

V 3 <

3 %c %i
<

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.

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 x

2

and angle unit modifiers.

12

5th

Exponentiation (^) and roots (

x

Ñ).
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 comb in ations (nCr).
8th Multiplication, implied multiplication, division.
9th Addition and subtraction.
10th Conversions (n/d ¶U n/d, f¶d, ´DMS).
11th < completes all operations an d clos es all open

parentheses.

Examples

60 T 5 V M 12 <

M

+ Q P

(M) 1 T M 8 T 12 <

( ) b 9 T 16 <

13

4 V D 2 T 3 E <

4 D 2 T 3 E <

x

Ñb 3 G 2 " T 4 G 2

^ and

<

Clearing and correcting

- Clears characters and error messages.

J Deletes the character at the cursor.
%f Inserts a character at the cursor.
%{ Clears variables x, y, z, t, a, b and c.
% 2 Resets the TI-34 MultiView™ calculator.

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.

Returns unit to default settings; clears
memory variables, pending operations,
all entries in history, function s in
applications, and statistical data; clears
stored operations (op1 or op2), and ans.

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.

14

MATH submenu:

, n2)

lcm(n
gcd(n

3

n

3

Ñ(n

1
1

, n2)

Finds the least common multiple (lcm) or
greatest common divisor (gcd) of two
values, n

integers.

, which are positive

and n

1

2

Calculates the cube of n.
Calculates the cube root of n.

NUM submenu:
abs(n) Displays absolute value of n.
round(n,digits
iPart(n)

fPart(n)
min(n

max(n
remainder(n

) Rounds n to specified number of digits.

Returns only the integer part (iPart) or
fractional (decimal) part (fPart) of n.

1

, n2)

, n2)

1

Returns the minimum (min) or maximum
(max) of two values, n

, n2) Returns the remainder resulting from the

1

division of 2 values, n

1

1

and n2.

by n

Examples

abs d " 1 M 2 P 3

<

.

2

round d " 2 g %` 3

E <

iPart, fPart d " 3

23 8 45 E <
d " 4
23 8 45 E <

3

3

Ñn, n

2 d 3 <

15

d4
8 <

remainder d " 7

10 %` 6 E <

³ Problem

Find the least common multiple of 30 and 84 using prime
factorization by hand. Verify your work using the calculator.

2 V 3 V 5 <
2 F V 3 V 7 <

2 F V 3 V 5 V 7 <
d 1
30 %` 84 E <

The lcm (30, 84) is 420.

Integer divide

%Y

%Y divides 2 positive integers and displays the

quotient, q, and the remaind er , r. Only the quotient is stored t o
ans.

Example

Int divide 17 %Y 3 <

³ Problem

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

17589 %Y 60 <

16

%i %Y 60 <

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 funct ion keys (F, _,
etc.).

In Classic mode, fractions with P do not allow operation
keys, functions, or complex fractions in the numerat or 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 < simplifi es a fraction by the factor n specif ied
The entry n must be a positive integer.

• } < automatic al l y sim p lifies a fraction using the
lowest common prime factor. The factor displays.
Repeatedly press } < to simplify the fraction to its
lowest terms.

17

• %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

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

Simp } 2 <

n/d ¶U n/d 9 P 2 %O <

<

} 2 <

f ¶d 4 @1 P 2 %j

<

Examples of MathPrint™ mode

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

$ 12 <

Simp } 2 <

18

} 2 <

n/d ¶U n/d 9 P 2 " %O

f ¶d 4 @ 1 $ 2 "

Examples
(MathPrint™
mode only)

(MathPrint
mode only)

<

%j <

P 1 8 2 T 1 8 3 $ 4
" <

P M 5 T b 5 F
U 4 D 1 E D 6 E
$ 2 D 1 E " <

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 _V 150 <

1 P 5 " %N <

19

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 t he tot al valu e of the
metal extracted?

3 _V 5000 <

T 2 8 3 _V

V 280 <

The two extractions represent a total of 317.9 tons of metal for
a total value of $89,012.

7300 <

x10n key

C

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

format.

Example

2

C 5 <

q $ " <

- <

20

Powers, radicals, and reciprocals

F

G Raises a value to the power indicated. If you

b Calculates the square root of a positive value.
%c Calculates the xth root of any positive value and

%a Calculates the reciprocal of a value.

Examples

5 F T 4 G D 2 T 1 E <

10 G M 2 <

b 49 <

Calculates 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.

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

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.

any odd integer root of a negative value.

64.

b 3 F T 2 G 4 <

21

6 %c 64 <

D 2 T 6 E %a <

Pi

g
À 3.141592653590 for calculations.

≈

À 3.141592654 for display.

≈

Example

À 2 V g <

r

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 = Àr

g V 12 G 2 <

r

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.

22

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
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 <

4DMS. You

Ä Å Æ - 2 g %= 4

4DMS

<

1 8 5 %= 5 <

23

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.

R ¶P - q $ $ " "

Converting (r,
(x, y) = (3, 4) gives (r,

<

- %= " 3
5 %` 30 E <
%= " 4
5 %` 30 E <

%= " 1
3 %` 4 E <
%= " 2
3 %` 4 E <

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

q) = (5.0, 53.1).

³ Problem

Two adjacent angles meas ure 12
respectively. Add the two angles and display the result in
DMS format. Round the results to two decimal places.

- q $ $ " " " <

- 12 %=

1
31 %= 2
45 %= 3 T 26 %= 1
54 %= 2
38 %= 3 <

%= 5 <

¡ 31¢ 45£ and 26¡ 54¢ 38£

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

24

³ Problem

It is known that 30¡ = À / 6 radians. In the default mode,
degrees, find the sine of 30
mode and calculate the sine of À / 6 radians.

Note: Press - to clear the screen between problems.

- %B 1
30 E <

q " < ­%B 1 g P 6 " E <

Retain radian mode on the calculator and calculat e the sine of

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

30
of À / 6 radians.

%B 1
30 %= < E <

q < ­%B 1 g P 6 " %= 4

E <

¡. Then set the calculator to radian

Trigonometry

%B

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

cos, tan, sin
from the menu and then enter the value. Set the desired
Angle mode before starting trigonometric calculations.

Example Degree mode

Tan q < $ $ <

-1

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

- %B 3
4 5 E <

25

Tan

A

-1

%B 6
1 E <

Cos 5 V %B 2

60 E <

Example Radian mode

Tan q " < -

Tan

Cos 5 V %B 2 g P 4

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 + m±B + 90Ä = 180Ä

m

therefore m

c =

%B 3 g P 4 " E
<

-1

%B 6
1 E <

r

" E <

7

-- ­3

±B = 90Ä - m±A

3272+

±A = tan

7

-1

⎛

-- -

⎠⎞⎝

3

3
C

c

7

B

26

q< $ $ " " < ­%B 6

7 P 3 " E <
90 U %i <

b 3 F T 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.

Logarithms and exponential functions

%A

%A displays two submenus containing the func tions 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
(e 2.718281828459).

≈

• e^ raises e to the power you specify.

Examples

LOG %A 1

1 E <

10^ %A 2 %A 1

2 E <
%A 1 %A 2
5 " E <

27

LN %A " 1

5 E V 2 <

e^ %A " 2

8 5 <

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

Set op1 %n V 2 T 3

op1 4 m

Set op2 %p V 10 <

<

6 m

28

op2 1 o

o

o

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?

%n

(Press - if necessary to clear a
previous operation.)

T 15 <

m m m m

0

m m m m

m m m m

m m m m

29

The table of values of Harry's weekly earnings is shown on
the screens. From this table, we can read that Ha rry 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 numb er 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

<

30

Recall %

h

< F <

L z z

<

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

350 V 560 L z <

340 V 610 L z z <

150 V %h

31

< <

210 V %h < <

150 V z z <

210 V z z <

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

L1 v1 P 4 $ 2 P 4 $

3 P 4 $ 4 P 4 <

32

Conversion " v "

<

v < %j

<

Notice L2 is calculated per the conversion you entered, and
L2(1)= in the author line is highlighted to indicate the list is t he
result of a conversion.

³ Problem

1

2

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 .

v v 4
v " 5

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

" v " 1

-- ­9

3

-- -

-- -

9

9

7

-- ­9

v 1 %j

33

<

Input the rest of the fractions to test
your pattern. Notice L2 updates as
you enter in L1.

The pattern appears to show that the decimal representation
is a repetition of the number in the numerator for ninths.

4

5

6

-- -

-- -

Entering , , and finally validates that statement.

-- -

9

9

9

7

-- ­9

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.

Variables Definition

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

Ï or Ð Mean of all x or y values.

Sx or Sy Sample standard deviation of x or y.
Îx or Îy Population standard deviation of x or y.

ΣΣ

x or y

ΣΣ

x

Sum of all x or y values.

2

2

Sum of all x2 or y2 values.

or y

34

Σ

xy

a Linear regression slope.
b Linear regression y-intercept.
r Correlation coefficient.

' (2-Var)

x

' (2-Var)

y

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

Sum of (x …y) for all xy pairs.

Uses a and b to calculate predicted x value
when you input a y value.

Uses a and b to calculate predicted y value
when you input an x value.

press <.

Examples

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

Clear all
data

v v $ $ $

Data < 45 $ 55 $ 55 $

55 <

Stat %t

1 $ $

<

35

Stat Var %s %t 3

2 <

V 2 <

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

Clear all
data

Data < 45 $ 55 $ " 30

Stat %t

v v $ $ $

$ 25 $

(Your screen may not
show 3:StatVars if you
did not previously perform
a calculation.)

2 $ $

<

%s %t 3 #
#

< 45 E <

'(45)

36

³ Problem

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

Test No. 1234
Score 73948578

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 grad es before the
point change and after the point change?

Clear all
data

Data 73 $ 94 $ 85 $ 78 $

v v4

%t

1 $ $ <

The average grade
is 82.5.

v $ 88 $$ 84 $

%t 1

$ $ <

The new average grade
is 82.5.

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

37

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.

Test No. 1 2 3 4
Speed

(kph)
Distance

(m)

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.

v v 4

33 $ 49 $ 65 $ 79 $ " 5 8 3
$ 14 8 45 $ 20 8 21 $ 38 8
45 $

%t

2 $ $

33 49 65 79

5.30 14.45 20.21 38.45

<

38

Press $ to view a and b.

This line of best fit, y ' = 0.6773251896x '-18.66637321
models the linear trend of the data.

%s %t 3 #

< 55 E <

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:

nPr Calculates the number of possible

nCr Calculates the number of possible

! A factorial is the product of the positive

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.

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.

integers from 1 to n. n must be a whole

{ 69.

number

39

RAND contains the following options:

rand Generates a random real number between 0

randint( Generates a random integer between 2

and 1. To control a sequence of random
numbers, store an integer (seed value)
rand. The seed value changes randomly
every time a random number is generated.

integers, A and B, where A
Separate the 2 integers with a comma.

{ randint { B.

| 0 to

Examples

nPr 8

H

< 3 <

nCr 52 H 2

5 <

! 4 H

3 <

STO 4 rand 5 L H "

1 <

40

rand H " 1 <

randint( H " 2

3 %` 5 E <

Problem

An ice cream store advertises that it makes 25 flavors of
home made ice cream. Y ou like t o order three dif ferent flavo rs
in a dish. How many combinations of ice cream can you test
out over a very hot summer?

25

H 2

3 <

You can cho ose from 2300 dishe s with diff erent 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 .

T o 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.

41

ARGUMENT — A function does not have the correct number
of arguments.

DIVIDE BY 0 — You attempted to divide by 0.
DOMAIN — You specif ied 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.

-1

•For sin

•For nCr or nPr: n or r are not integers

or cos-1: |x| > 1.

| 0.

•For }: Entering a simplify value of 0; using a simplify
value of ‚ 1

E10; 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.

42

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 x

LOW BATTERY — Replace the battery.
Note: This message displays briefly and then disappears.

Pressing - does not clear this message.

2

(MathPrint™ mode only).

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

43

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 batt ery
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.

44

Texas Instruments Support and Service

For general information

Home Page:
KnowledgeBase

and e-mail
inquiries:

Phone:

International
information:

For technical support

KnowledgeBase
and support by
e-mail:

Phone
(not toll-free):

product (hardware) service

For

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.

education.ti.com
education.ti.com/support

(800) TI-CARES / [phone]
For U.S., Canada, Mexico, Puerto
Rico, and Virgin Islands only

education.ti.com/international

education.ti.com/support

[phone]

45