Manual Texas Instruments ti 34 multiview (page 39 of 43) (English)

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TI-34 MultiView™

Scientific Calculator

Guidebook

Learn more about TI Technology through the online help at education.ti.com/eguide.

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.

Contents

Getting Started 1

Examples 1

Switching the Calculator On and Off 1

Display Contrast 1

Home Screen 1

2nd Functions 2

Modes 2

Menus 4

Scrolling 6

Answer Toggle 7

Last Answer 8

Order of Operations 8

Clearing and Correcting 10

Math Operations 10

Memory and Stored Variables 12

Math Functions 15

Integer Divide 15

Fractions 15

Percentages 17

x10n Key 18

Powers, Radicals, and Reciprocals 19

Pi 20

Angle Menu 21

Trigonometry 23

Logarithms and Exponential Functions 25

Statistics 26

Probability 30

Math Tools 33

Data Editor and List Conversions 33

Stored Operations (op) 35

Reference Information 37

Errors 37

Battery Information 38

In Case of Difficulty 39

General Information 40

iii

1 Getting Started

Getting Started

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 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.

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.

Indicator Definition

2ND 2nd function.

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

SCI Scientific notation. (See Modes section.)

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

section.)

L1, L2, L3 Displays above the lists in Data Editor and List

Conversions.

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 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.

Modes

Use qto 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).

Getting Started 2

3 Getting Started

Note: Cis 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 %

hmenu), the TI-34 MultiView™ calculator may display Einstead 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.

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.

Classic mode MathPrint mode

n/d Un/d

Mansimp

Autosimp

Exponent example Exponent example

Cube root example Cube root example

Menus

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

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 %

Getting Started 4

5 Getting Started

The menu chart shows the menu keys and the menus they display.

H% =

PRB RAND DMS R ³ ´ P

1: nPr

2: nCr

3: !

1: rand

2: randint(

1: °

2: Å

3: Æ

4: r

5: ´DMS

1: R ´Pr(

2: R ´Pq(

3: P ´Rx(

4: P ´Ry(

% A % B

LOG LN TRIG

1: log(

2: 10^(

1: ln(

2: e^(

1: sin(

2: cos(

3: tan(

4: sin-1(

5: cos-1(

6: tan-1(

MATH NUM

1: lcm(

2: gcd(

3: 3

4: 3Ñ(

1: abs(

2: round(

3: iPart(

4: fPart(

5: min(

6: max(

7: remainder(

v v

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

CLEAR CNVRSN

1: Clear L1

2: Clear L2

3: Clear L3

4: Clear ALL

1: Add/Edit Cnvrs

2: Clear L1 Cnvrs

3: Clear L2 Cnvrs

4: Clear L3 Cnvrs

5: Clear ALL

Press vwhile you are in the Add/Edit Conversion option of the CNVRSN menu to

display this menu:

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

1: n

2: Ï

3: Sx

Etc. See Statistics

values for a full list.

%  % h % {

Reset Recall Var Clear Var

1: No

2: Yes

1: x =

2: y =

3: z =

4: t =

5: a =

6: b =

7: c =

1: Yes

2: No

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.

Getting Started 6

7 Getting Started

#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

Scroll 1T1<

2T2<

3T3<

4T4<

####<

T2<

Answer Toggle

Press the rkey to toggle the display result between fraction and decimal answers,

and exact pi and decimal.

Example

Answer

toggle

2g <

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.

Examples

ans 3V3<

V3<

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 R³´Pmenu

items.

Getting Started 8

9 Getting Started

3rd Fractions.

4th Functions that are entered after the argument,

such as x2and angle unit modifiers.

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 Gis

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 Ffrom left to right

in both Classic and MathPrint modes.

6th Negation (L).

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

8th Multiplication, implied multiplication, division.

9th Addition and subtraction.

10th Conversions (n/d³´Un/d,f³´d,´DMS).

11th <completes all operations and closes all

open parentheses.

Examples

+Q P L 60 T5V M 12

(L)1T M 8T12

() b9T16 <

4V D 2T3E

4D2T3E <

^ and xÑ b 3G2" T 4

G2<

Clearing and Correcting

-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.

Math Operations

ddisplays 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.

MATH submenu:

lcm(n1,n2)

gcd(n1,n2)

Finds the least common multiple (lcm) or

greatest common divisor (gcd) of two values, n1

Getting Started 10

11 Getting Started

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 nto 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, n1and n2.

remainder(n1,

n2)

Returns the remainder resulting from the

division of 2 values, n1by n2.

Examples

abs d " 1M2P

round d " 2g %

`3E <

iPart,

fPart

d " 3

23.45 E <

d " 4

23.45 E <

3Ñn,n32d3<

remainder d " 7

10 % ` 6E

³Problem

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

your work using the calculator.

2V3V5<

2F V 3V7<

2F V 3V5V7<

30 % ` 84 E <

The lcm (30, 84) is 420.

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.

Llets you store values to variables. Press Lto store a variable, and press zto

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.

zaccesses the variables. Press this key multiple times to choose x,y,z,t,a,b, or c.

You can also use zto 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

Getting Started 12

13 Getting Started

Recall % h

< F <

L z z

z z

< W 4<

³Problem

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?

350 V560 L z <

340 V610 L z z <

150 V % h

< <

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.

Getting Started 14

15 Math Functions

Math Functions

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

Int divide 17 % Y 3<

³Problem

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

17589 % Y 60 <

% i % Y 60 <

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

Fractions

P @ % O } % j

In the MathPrint™ mode, fractions with Pcan include operation keys (T,V, etc.) and

most function keys (F,_, etc.).

In Classic mode, fractions with Pdo not allow operation keys, functions, or complex

fractions in the numerator or denominator.

Note: In Classic mode and Data editor, use Wto perform complex division problems.

Calculations using fractions can display fraction or decimal results, depending on input.

•Penters a simple fraction. Pressing Pbefore or after a number can result in

different behavior. Entering a number before pressing Pmakes that number the

numerator.

To enter fractions with operators, press Pbefore 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 Pbetween 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 nspecified The entry nmust 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.

•% O converts between simple 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, Un/d 3P4T1@7P

12 <

Simp }2<

}2<

n/d

³´Un/d

9P2% O

f³´d4@1P2%

j <

Math Functions 16

17 Math Functions

Examples of MathPrint™ mode

n/d, Un/d P3$4" T 1

@7$12 <

Simp }2<

}2<

n/d³´Un/d 9P2" O

f³´d4@1$2"

% j <

Examples

(MathPrint™

mode only)

P1.2 T1.3 $

4" <

(MathPrint™

mode only)

P M 5T b 5

F U 4D1E

D6E $ 2D

1E " <

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 <

1P5" % N <

³Problem

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?

3_ V 5000 <

T2.3 _ V 7300 <

V280 <

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

$89,012.

x10nKey

Cis a shortcut key to enter a number in scientific notation format.

Example

2C5<

q $ " <

Math Functions 18

19 Math Functions

- <

Powers, Radicals, and Reciprocals

FCalculates the square of a value. The TI-34

MultiView™ calculator evaluates expressions

entered with Ffrom left to right in both

Classic and MathPrint™ modes. Pressing 3F

Fcalculates 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 Gis

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 Gis

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.

Examples

5F T 4GD2T1E <

10 G M 2<

b49 <

b3F T 2G4<

6% c 64 <

D2T6E % a <

≈

3.141592653590 for calculations.

≈

3.141592654 for display.

Example

À2V g <

Note: Classic mode displays calculations with Àas a decimal approximation.

³Problem

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

Reminder: A = Àr2.

g V 12 G2<

Math Functions 20

21 Math Functions

The area of the circle is 144 Àsquare cm. The area of the circle is approximately 452.4

square cm when rounded to one decimal place.

Angle Menu

% =

% = displays the choice of two submenus that enable you to specify the angle

unit modifier as degrees (°), 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 % = 1E

DEG q <

¡ ¢ £ -2g %

=4<

4DMS 1.5 % = 5

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.

R³´P- q $ $

""<

- % = "

5% ` 30 E

% = " 4

5% ` 30 E

% = " 1

3% ` 4E

% = " 2

3% ` 4E

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

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

³Problem

Two adjacent angles measure 12Ä31Å45Æand 26Ä54Å38 Ærespectively. Add the two

angles and display the result in DMS format. Round the results to two decimal places.

- q $ $ " " " <

-12 % =

31 % = 2

45 % = 3T26 % =

54 % = 2

38 % = 3<

% = 5<

Math Functions 22

23 Math Functions

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

³Problem

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

Then set the calculator to radian mode and calculate the sine of À/ 6 radians.

Note: Press -to clear the screen between problems.

- % B 1

30 E <

q " < -

% B 1g P 6"E <

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.

% B 1

30 % = < E <

q < -

% B 1g P 6"% =

E <

Trigonometry

% B

% B displays a menu of all supported 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

Tan q < $ $

- % B 3

45 E <

Tan-1 % B 6

1E <

Cos 5V % B 2

60 E <

Example Radian mode

Tan q " <

- % B 3

g P 4" E

Tan-1 % B 6

1E <

Cos 5V % B 2

g P 4" E

³Problem

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

2 2

q < $ $ " " <

% B 6

7P3" E <

Math Functions 24

25 Math Functions

90 U % i <

b3F T 7F <

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 to the base of e(e

≈

2.718281828459).

•e^ raises eto the power you specify.

Examples

LOG % A 1

1E <

10^% A 2% A

2E <

% A 1% A

5" E <

LN % A " 1

5E V 2<

e^% A " 2

.5 <

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

nNumber of xor (x,y) data points.

Ïor ÐMean of all xor yvalues.

Sx or Sy Sample standard deviation of xor y.

Îxor ÎyPopulation standard deviation of xor y.

xor

ySum of all xor yvalues.

x2or

y2Sum of all x2or y2values.

xy Sum of (x…y) for all xy pairs.

aLinear regression slope.

bLinear regression y-intercept.

rCorrelation coefficient.

x' (2-Var) Uses aand bto calculate predicted xvalue

when you input a yvalue.

y' (2-Var) Uses aand bto calculate predicted yvalue

when you input an xvalue.

To define statistical data points:

1. Enter data in L1, L2, or L3. (See Data Editor and List Conversions.)

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 <.

Math Functions 26

27 Math Functions

Examples

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

Clear all

data

v v $ $ $

Data <45 $55 $55

$55 <

Stat % t

1$ $

Stat Var % s % t 3

V2<

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

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 %

t3# #

<45 E <

³Problem

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

Test No. 1 2 3 4

Score 73 94 85 78

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?

Clear all

data

vv4

Math Functions 28

29 Math Functions

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.

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

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).

³Problem

The table below gives the results of a braking test.

Test No. 1 2 3 4

Speed (kph) 33 49 65 79

Distance (m) 5.30 14.45 20.21 38.45

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.

vv4

33 $49 $65 $79 $ " 5.3

$14.45 $20.21 $38.45 $

% t

2$ $

Press $to view aand 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

This key displays two menus: PRB and RAND.

Math Functions 30

31 Math Functions

PRB contains the following options:

nPr Calculates the number of possible permutations

of nitems taken rat a time, given nand r. The

order of objects is important, as in a race. nand

rmust be positive integers.

nCr Calculates the number of possible combinations

of nitems taken rat a time, given nand r. The

order of objects is not important, as in a hand

of cards. nand rmust be positive integers.

!Afactorial is the product of the positive

integers from 1 to n.nmust be a 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, Aand B, where A{randint {B.

Separate the 2 integers with a comma.

Examples

nPr 8

<3<

nCr 52 H25 <

!4H3<

STO 4

rand

5L H "

rand H " 1<

randint( H " 2

3% ` 5E <

³Problem

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!

Math Functions 32

33 Math Tools

Math Tools

Data Editor and List Conversions

vlets 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 f³´d, ´%, ´Simp, and n/d³´Un/d.

Numeric notation, decimal notation, and angle modes affect the display of an element

(except fractional elements).

Example

L1 v1P4$2

P4$3P4$4

P4<

Conversion " v "

v < %

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.

³Problem

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.

vv4

v " 5

1P9$2P9$3P9<

"v"1

v1% j

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. Entering

and finally

validates

that statement. Notice the last digit in the list is rounded, so 0.777777… is shown

rounded to 0.77778.

Math Tools 34

35 Math Tools

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. mor 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 2T

op1 4m

Set op2 % p V 10

op2 1o

³Problem

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)

T15 <

0mmmm

mmmm

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.

Math Tools 36

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