Texas instruments TI-73 Number Line / Fraction Line

Number Line /
TI
Fraction Line for the TI-73
Getting Started
Start here
How To…
More Infor m a t ion
Uninstalling the Application from the TI-73 Error Recovery Customer Support
7/02/01 © 1999, 2001 Texas Instruments

Important Information

Texas Instruments makes no warranty, either expressed 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.
This graphing product application (APP) is licensed. See the terms of the license agreement
.
Copyright © 1999, 2001 Texas Instruments Incorporated.
Number Line/Fraction Line for the TI-73 Page 2

Where to Find Installation Instructions

You can find detailed instructions on installing Flash applications at education.ti.com/guides
.
Number Line/Fraction Line for the TI-73 Page 3
What is Number Line / Fraction Line?
This application contains two parts:
Fraction Line Number Line
number line. It includes three data representations — an entry line, a vector history, and the number line itself with an indicator showing the current position of the entry.
Use Number Line when you want to create a numerical expression by adding and/or subtracting positive and/or negative whole numbers. You can then view the vector history. You can also see where the ending point (result of the expression) falls on a number line. As you edit an entry, the vector history and ending point adjust, as necessary.
Fraction Line
double-sided number line. Each side of the number line may be configured to represent numbers as decimals, fractions, or percentages.
Use Fraction Line when you want to label a number line with a fraction, decimal, percent, or whole number. You can then use the labels to compare between many types of numbers at the same time.
.
gives a dynamic, electronic representation of a
gives a dynamic, electronic representation of a
Number Line
and
Number Line/Fraction Line for the TI-73 Page 4

Number Line

1. Press
9
.
The
APPLICATIONS
menu is displayed.
2. Select
NUMLINE
from the menu. (Press the number corresponding to the menu option, or press the down arrow key until the number is highlighted, then press
b
.)
An information screen is displayed.
3. Press any key to continue. The
NUN/FRAC LINE
menu is displayed.

Starting Number Line

Number Line/Fraction Line for the TI-73 Page 5
4. Select
1:Number Line
from the menu.
The Number Line application screen and any previous entries are displayed.
If necessary, press
:
, and then
select
1:Yes
from the menu to clear
previous entries.

Number Line Options

With Number Line, you can add and subtract positive and negative values on a number line. After entering the numerical expression on the entry line, you can then edit or clear the entry, trace the vectors, adjust the appearance of the number line, and label various points on it. The first time the Number Line runs, the line indicator is shown at the default starting point,
0
previous entries are shown arithmetically or in vectors, since no previous information has been entered.
. No
Number Line/Fraction Line for the TI-73 Page 6
Below is a screen with an example of the equation
entry line
vector history
number line indicator showing current position at 2
0 + 5-7
- L
4 = 2
.
The default
WINDOW
values:
Min
=N20,
Max
=20,
Scale
=2, For more information, see section entitled, Adjusting the Number Line
WINDOW
Values.

Entering an Expression

Enter the numerical expression on the entry line. The expression can consist of positive and/or negative whole numbers that are added or subtracted. Therefore, you can use the following keys: all number keys, \, Tand a. Enter the values as you would on the Home screen of the TI-73.
You can add a positive value in two ways:
Use \to add a positive number.
Use
T a
Example
Number Line/Fraction Line for the TI-73 Page 7
to subtract a negative number.
10
N L
5 = 15
:
Example
10 + 5 = 15
:
Start
.
=0.
Pressing a number without pressing an operator (\or T)
Note
You can press
b
after a single entry or after multiple entries.
defaults to a positive number (+) and adds an entry to the expression.
Example
: Pressing
6
defaults to +6.
You can negate a number in two ways:
When you finish entering the expression, press numerical result is displayed at the end of the expression on the entry line, the vector history is also displayed, and the indicator is adjusted so that it points to the result on the number line.
Use ato add a negative number.
Example
Use Tto subtract a positive number.
10 + L5 = 5
:
Example
b
10 N5 = 5
:
. The
Number Line/Fraction Line for the TI-73 Page 8

Editing Entries

Press:
To:
b
Move to the beginning of the entry line to start edit ing
!
or
"
Move between characters on the entry line
- !
Move to the beginning of the entry line fr om anot her position
- "
Move to the end of the entry line
/
Delete character at the cursor
- m
Insert a character in f r ont of the cursor
:
Clear all entries (If you are not in Edit mode, you will be asked to confirm that you want to clear the entire expression. Press 1to select
Yes
.)
b
Finish editing and update the expression, vector, and number line
To edit the expression, press
b
or
&
the entry line and enter Edit mode. Edit the entry using the following edit keys.
to move the cursor to
Number Line/Fraction Line for the TI-73 Page 9

Tracing the Vector History

You can trace the vector history just as you would trace a function graph on the TI-73.
Press
)
to enter Trace mode. You see two cursors: a vector cursor and a corresponding number line cursor. As both cursors move simultaneously, the exact corresponding x-value is displayed at the bottom left corner of the screen. The entry line only displays the expression without its numerical result.
The cursor traces in increments according to the on the
WINDOW
screen. For more information on
value set
Scale WINDOW
values, see the section entitled, Adjusting the Number Line Window Values.
Number Line/Fraction Line for the TI-73 Page 10
A maximum of 5 vectors display on the screen at all times. To
Press:
To:
!
or
"
Move the vector cursor along a vector as well as the number line cursor along the number line
#
and
$
Move between vectors
/
Delete a vector when its representative value is enclosed in a box
- m
Insert a character in f r ont of the cursor
:
Clear the entire entry
&
or
b
Edit the entry while in Trace mode
*
Exit Trace mode
Box enclosing the present Trace position on the history line.
Cursor displays the
current value of Trace
on the vector line
Current value of X
see undisplayed vectors, press $until they appear.
Number Line/Fraction Line for the TI-73 Page 11

Adjusting the Number Line WINDOW Values

To change the settings, enter a new value for
Min, Max, Scale
, and
Start
.
To change the
LabelOff
and
LabelOn
settings, position the cursor over the desired setting and press
b
. Your
choice stays highlighted. Press #or
b
to move to the next item.
To exit the
WINDOW
screen and return
to the Number Line application, press
*
, or press
- l
.
Setting
Definition
Example Min
Max
The minimum or maximum value displayed on the number line.
Min
must be less than
Max
, or you will get
a
WINDOW RANGE
error.
Min
default=
L
20. Max
default=20.
To adjust the appearance of the number line, press
'
. )
Number Line/Fraction Line for the TI-73 Page 12
Setting
Definition
Example Scale
The distance between each mark on the number line. In Trace mode,
Scale
determines the movement of t he t race on the vector. Default=2.
Start
Specifies where the indicator appears when the number line is first displayed. Default=0.
LabelOff
If selected, only 0, the minimum, and the maximum numbers are labeled on the number line. Default=
LabelOff
.
LabelOn
If selected, other marks on the number line are labeled.
LabelOn
overwrites
any labels drawn with the
DrawLabel
option.
Note:
LabelOn
works only within the
range of -1000 to 1000.
Number Line/Fraction Line for the TI-73 Page 13
Using ZoomFit and ZStandard to Adjust Window Values
1. To display the
ZOOM
menu, press
(
.
2. Select
ZoomFit orZstandard.
ZoomFit
adjusts
Min
and
Max
so that all vectors in the current expression are displayed within the viewing screen. If you have entered a large range of numbers, all vectors may not fit the viewing window. If this occurs, increase the
Scale
(
'
) value.
ZStandard
returns the window to
the default settings:
Min
=L20,
Max
=20,
Scale
=2,
Start
=0,
LabelOff
.
3. To exit
ZoomFit
or
ZStandard
, press the
*
key, or press
- l
.
Number Line/Fraction Line for the TI-73 Page 14

Drawing Labels on the Number Line

1. Press
2
. If you have selected the
LabelOn
option from the
WINDOW
menu, a screen displays prompting you to turn labels off.
Use
DRAW
to label numbers along the number line. Label numbers when you want to show the relationship between numbers, or when you want to see how labels correspond to the vectors. The label must fall between the current (
'
) values. To access the To exit
-l
DRAW
.
DRAW
without making changes, press
menu, press
To clear the labels, press labels are also cleared if you press
ZoomFit
or
ZStandard
.
2
2
.
and select
'
and
Min
*
2:ClrDraw
, or press
or select a
Max
. The
Number Line/Fraction Line for the TI-73 Page 15
2. Select
1:Yes
to continue with the
DRAW
menu. (Select
2:No
to exit the
DRAW
menu and return to the Number Line application.)
The
DRAW
menu is displayed.
3. Select
1:DrawLabel
. The Number Line
screen is displayed with the
Label=
prompt at the top.
4. Enter the number to label and press
b
.
The
Label
=
prompt reappears. Continue
labeling numbers at this prompt.
Note
The labels may overlap each other when displayed if they are very close together.
Number Line/Fraction Line for the TI-73 Page 16
5. When finished, press
b
at the
Label
=
prompt (with a blank value) to exit labeling mode. The Number Line screen displays, showing labels for each number you entered.
Note
If you specify a number outside the window range, it will not be labeled
.
Number Line/Fraction Line for the TI-73 Page 17

Quitting Number Line

To return to Number Line, select
1:Number Line
.
To go directly to Fraction Line, select
2:Fraction Line
.
To quit the Number Line/Fraction Line application and return to the TI-73 Home screen, select
3:Quit
.
Press "(Next) and !(Back) to
move through the Help, one page at
a time. On the last page, "returns
to the Number Line display.
At any time, press
- l
to exit Help and return to the Number Line display.
To leave the Number Line application, press

Viewing Online Help

To view online Help, press Press !and "to navigate between the help screens. Press
- l
to quit the online Help and return to the Number Line
display.
9
- l
while Number Line
.
is running.
Number Line/Fraction Line for the TI-73 Page 18

Fraction Line

1. Press
9
.
2. Select
NUMLINE
from the menu.
An information screen is displayed.
3. Press any key to continue. The
Num/Frac Line
menu is displayed.

Starting Fraction Line

With Fraction Line, you can enter and compare decimal numbers, fractions, and percents on a two-sided number line.
Number Line/Fraction Line for the TI-73 Page 19
4. Select
2:Fraction Line
from the menu. (Press the number corresponding to the menu option, or press the down arrow key until the number is highlighted, then press
b
.)
The Fraction Line application screen is displayed.
To change the settings, enter a new value for
Min, Max, Start
, and
Step
.
To change the
Dec, Frac, %,
and
Off
settings, position the cursor over the desired setting and press
b
. Your
choice stays highlighted. Press #or
b
to move to the next item.
To exit the
WINDOW
screen and return
to the Number Line application, press
*
, or press
- l
.

Adjusting the Fraction Line WINDOW Values

To adjust the appearance of the fraction line, press
'
Press #(as necessary)
Number Line/Fraction Line for the TI-73 Page 20
.
Setting
Definition Min
The minimum value displayed on the fraction line. Default=L1. If you are using percent values,
Min
must be ‚0 (zero).
Max
The maximum value displayed on the fraction line. Default = 1.
Max
> 0.
Dec Frac
Specifies whether the calculator displays the
Min
and
Max
values as decimals or fractions. Default=
Start
Specifies where the upper or lower indicator appears when the fraction line is first displayed. Default = 0. If the indicat or is a per cent,
Start
> 0.
Step
The distance the upper or lower indicator moves along the fraction line when you press !and ". Define the upper or lower indicator step as a decimal, fraction, or percent, or turn the step off.
Dec Frac % Off
Specifies whether the calculator displays the values on the fraction line as a decimal, fraction, percent, or exactly as entered.
Number Line/Fraction Line for the TI-73 Page 21
When you select percent values (in the
WINDOW
settings) for the upper or lower indicator, Fraction Line uses 100% to equal 1 at all times. All values greater than 1 will be over 100%. always be ‚0 (zero). If you select
, you will receive a
Max
reset the
WINDOW
percent. Select
2:Goto
WINDOW RANGE
settings to an indicator value other than
to go to the error and enter a new value.
and enter a negative
%
error. Select
must
Min
Min
1:Reset
or
to
Number Line/Fraction Line for the TI-73 Page 22

Entering Fraction Line Data

On the Fraction Line screen, two indicators are displayed: one above the number line and one below. You can enter values as decimals, fractions, or percentages.
Before you enter the value you want displayed on the fraction line, select one of the two indicators. Press
and $to switch
#
between the upper and lower indicator. The selected indicator is solid.
The entries move the indicator along the selected side of the fraction line.
Select the indicator above the number line if you want your
upper indicator to move to the entry value. Select the indicator below the number line if you want your
lower indicator to move to the entry value.
Press !and "to scroll the fraction line with the selected indicator. You can scroll past the initial window range so that the deselected indicator no longer shows on the screen.
Number Line/Fraction Line for the TI-73 Page 23
To enter a value, follow these steps:
1. Select the desired indicator: upper ($) or lower (#).
2. Enter a value. A
Value=
prompt displays at the top of the screen, along with the value you have entered.
Note
To enter a negative number or value, press a. Press
b
to
accept this value or
:
to clear the entry line.
Note
For
Min
and
Max
>
M
1000 and <1000, any fraction is converted to
decimal.
If the values that you enter are so far enough apart that both indicators cannot show on the screen at the same time, the screen adjusts to the last value you entered. The settings also change to reflect what is currently displayed on the screen. (See the section entitled, Adjusting the Fraction Line
WINDOW
Values.)
WINDOW
Number Line/Fraction Line for the TI-73 Page 24
To enter:
Press: Decimal
whole_#`decimal_part
Example
:
4.25 =
4`2 5
Fraction/ Mixed Number
whole_#
<
numerator=denominator
Example
: 4
2
à
3
=
4
<2=
3
Percent
#
C
Example
: 75% =
7 5
C
To select a mode setting, highlight the one you want using the cursor keys, and then press
b
. Your choice is
now highlighted.
To return to Fraction Line, press
*
.
Numeric Notation Mode
Float
Floating decimal point; displays up to ten digits.
0123456789
Fixed decimal point; specifies the number of digits (0 through 9) to display to the right of the decimal.
Fraction Line accepts decimal, fraction, or percent values.

Fraction Line Mode Settings

To select mode settings that control how Fraction Line interprets and displays numbers and fractions, press
.
.
Number Line/Fraction Line for the TI-73 Page 25
Display Format Mode
A
§
b/c
Displays result as a mixed number, if applicable.
b/c
Displays result as a simple fraction.
Simplification Mode
Autosimp
The calculator automatically simplifies fractional entries.
Mansimp
The user simplifies a selected f r ac t ion ent ry manually to its lowest form with the
B
key.
$
next to a fraction signif ies t hat it can be simplified.
Note:
Mansimp does not work for labels.
Number Line/Fraction Line for the TI-73 Page 26
Using ZoomFit and ZStandard to Adjust Window Values
1. To display the
ZOOM
menu, press
(
.
2. Select
ZoomFit orZStandard.
ZoomFit
adjusts the
Min
and
Max
so that all vectors in the current expression are displayed within the viewing screen.
ZStandard
returns the window to
the default settings:
WINDOW
:
Min
= L1,
Max
=1,
Dec
(decimal
value),
Upper Indicator:Start
= 0,
Step
= 1/2
,
Frac
(fraction value);
Lower Indicator:Start
= 0,
Step
= .25,
Dec
(decimal value).
3. To exit
ZoomFit
or
ZStandard
, press
*
, or press
- l
.
Number Line/Fraction Line for the TI-73 Page 27

Drawing Labels on the Fraction Line

1. Press
2
, then select
1:DrawLabel
.
To exit
DRAW
without making any
changes, press the
*
key, or
press
- l
.
Use
DRAW
numbers when you want to show the relationship between numbers.
To clear the labels, press
Changing the
Scrolling an indicator outside of the window settings
displayed on the screen or entering a new value for the indicator also clears the labels.
to label numbers along the number line. Label
and select
2:ClrDraw
WINDOW
2
settings also clears the labels.
.
Number Line/Fraction Line for the TI-73 Page 28
2. The Fraction Line screen is displayed. A
Label=
prompt is displayed. Enter the
number to label and press
b
.
The prompt reappears. Continue labeling numbers at this prompt.
Note
: If you label numbers that are very close together, the labels may overlap each other when they display.
3. When you are finished, press
b
at
the
Label=
prompt to exit labeling
mode. The Fraction Line screen displays,
showing labels for each number you entered.
Note
If you specify a number outside the window range, it will not be labeled.
Number Line/Fraction Line for the TI-73 Page 29

Converting Fraction Line Labels

Value = 25
>
converts it
to fraction.
>
converts it
back to decimal.
You can convert entries using TI-73 calculator keys.
Press Press
to convert between a fraction and decimal.
>
?
to convert between a simple fraction and a mixed
number. Press Cto convert between current form and a percent.
(You cannot convert between fraction and percent. Instead, convert from fraction to decimal and then to percent.)
Press
to convert an unsimplified fraction to its simplified
B
form.
Number Line/Fraction Line for the TI-73 Page 30

Quitting Fraction Line

Press
- l
.
To return to Fraction Line, select
2:Fraction Line
.
To go directly to Number Line, select
1:Number Line
.
To quit the Number Line/Fraction Line application and return to the TI-73 Home screen, select
3:Quit
.
Press "(Next) and !(Back) to
move through the Help, one page at
a time. On the last page, "returns
to the Fraction Line display.
At any time, press
- l
to exit Help and return to the Fraction Line display.

Viewing Online Help

To view online Help, press Press
- l
and "to navigate between the help screens. Press
!
to quit online Help and return to the Fraction Line
display.
9
while Fraction Line is running.
Number Line/Fraction Line for the TI-73 Page 31

Uninstalling the Application from Your TI-73

To uninstall the application and delete it from the calculator’s memory:
1. Quit the Number Line/Fraction Line application (
2. Press
3. Select
4. Select
5. Select
6. Select
- Ÿ
4:Delete
8:Apps
NUMLINE
2:Yes
.
.
.
and press
b
.
to confirm that you want to delete the
- l
application.
If you retained the application file on your computer, you can reinstall it later.
).
Number Line/Fraction Line for the TI-73 Page 32

Error Recovery Instructions

Low Battery Condition

Do not attempt a Flash download if the low-battery message appears on the calculator. Low battery indication is shown on the initial screen. If you receive this error during an installation, change the batteries before trying again.

Check Amount of Flash Application Free Space

On the TI-73, select the right of
Spaces Free:
- Ÿ
3:Check APPs…
indicates the number of spaces
. The number to
available for applications. The Matrices application requires one space. There are a maximum of four spaces.

Communication Error

This error indicates the Flash installer is unable to communicate with the TI-73. The problem is usually associated with the TI-GRAPH LINK™ cable and its connection to the TI-73 and/or to the computer. Make sure the cable is firmly pushed in to the calculator and the computer.
Number Line/Fraction Line for the TI-73 Page 33
If this does not correct the problem, try a different TI-GRAPH LINK to get this error, please contact TI-Cares
cable and reboot your computer. If you continue
Customer Support for
é
assistance.

Memory is Full

This download error appears when the TI-73 contains one to four applications that occupy the available 64K of space. To make room for another application, you must delete one from the TI-73. Before deleting an application, you can back it up to your computer so that you can reload it later as necessary.

Syntax Error

QUIT
ignores the last transaction and displays the last results.
GOTO
displays the screen with the error highlighted. Make any
necessary correction and press
b
.

Miscellaneous Error Received

Write down the error code displayed in the dialog box and contact TI-CARES
Number Line/Fraction Line for the TI-73 Page 34
.

Checksum Error

Exit the installation and try it again. If this problem persists, contact TI-CARES
.
Number Line/Fraction Line for the TI-73 Page 35

Miscellaneous

If you obtain new or upgraded software for your TI-73, you may need to provide your current software version and/or the serial number of your unit. It is also good to know your version number in case you have difficulties with your TI-73 and need to contact technical support. Knowing the software version may make it easier to diagnose the problem.
Knowing the available number of application spaces in advance helps you better manage your application downloads.

Verify Maintenance Upgrade Version

On the TI-73, enter
- Ÿ
1:About
. The version number has
the format x.yy or x.yyyy.

Verify Flash Application Version

On the TI-73, select press
b
. The version number of the application appears on
. Select the appropriate application and
9
the initial screen.

Verify Serial Number

On the TI-73, enter
- Ÿ
1:About
. The serial number
appears on the line beneath the product ID number.
Number Line/Fraction Line for the TI-73 Page 36

Texas Instruments (TI) Support and Service Information

For general information

E-mail: Phone:
ti-cares@ti.com 1-800-TI-CARES (1-800-842-2737)
For US, Canada, Mexico, Puerto Rico, and Virgin Islands only
Home page:
education.ti.com

For technical questions

Phone
: 1-972-917-8324

For product (hardware) service

Customers in the US, Canada, Mexico, Puerto Rico, and Virgin Islands:
Always contact TI Customer Support before
returning a product for service.
All other customers:
Refer to the leaflet enclosed with your product (hardware) or contact your local TI retailer/distributor.
Number Line/Fraction Line for the TI-73 Page 37

End-User License Agreement

BY INSTALLING THIS SOFTWARE YOU AGREE TO ABIDE BY THE FOLL OW ING PROVISIONS.
1.
LICENSE:
software program(s) (“License Mat eri al s”) contained on this diskette/CD/web site. You, and any subsequent user, may only use the Licensed Materials on T exas Instruments cal culator products.
2.
RESTRICTIONS:
You may not sell, rent, or lease copies that you make.
3.
COPYRIGHT:
If you make copies, do not delete the copyright noti ce, trademark, or protecti ve notices from the copies.
4.
WARRANTY:
from errors or that they will m eet your specific requirement s.
ARE PROVIDED “AS IS” TO YOU OR ANY SUBSEQUENT USER.
5.
LIMITATIONS:
limited to any implied warrant ies of merchantability and fitness for a particular purpos e, regarding the Licensed Materials.
IN NO EVENT SHALL T I OR ITS SUPPLI ERS BE LIABLE FOR ANY I NDIRECT, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, L O SS OF PROFITS, LOSS OF USE OR DATA, OR INTERRUPTIO N O F BUSINESS, WHETHE R T HE ALLEGED DAMAGES ARE LABELED IN TORT, CO NT RACT , OR INDEMNITY.
SOME STATES O R JURISDICTIONS DO NOT ALL O W T HE EXCLUSION OR LIM ITATION
OF INCIDENTAL OR CONSEQUENTIAL DAMAGES, SO THE ABOVE LIMI T AT ION MAY NOT APPLY.
IF YOU AGREE TO BE BO UND BY THIS LICENSE, CL ICK ON THE “ACCEPT” BUTT O N; IF YOU DO NOT AGREE TO BE BOUND BY THIS LICENSE, CL ICK ON THE “DECLINE” BUTTON TO EXIT THE INSTALLATION.
Texas Instruments Incorporated (“TI”) grants you a license to use and copy the
You may not reverse-assem ble or reverse-compile the Licensed Materials.
The Licensed Materials and any accompanying documentation are c opyrighted.
TI does not warrant that the Li censed Materials or documentat i on wi l l be free
THE LICENSED MAT ERIALS
TI makes no warranty or condition, either expressed or impli ed, including but not
Number Line/Fraction Line for the TI-73 Page 38
Page Reference
This PDF document contains electronic bookmar ks designed for easy on­screen navigation. If you decide to print this doc um ent, please use the page numbers below to find specific topics.
Important Information...............................................................................2
Where to Find Installation Instructions.....................................................3
What is Number Line and Fraction Line?.................................................4
Number Line............................................................................................5
Fraction Line.......................................................................................... 19
Uninstalling the Application from Your TI-73..........................................32
Error Recovery Instructions....................................................................33
Miscellaneous........................................................................................36
Texas Instruments (TI) Support and Service Information.......................37
End-User License Agreement ................................................................ 38
Number Line/Fraction Line for the TI-73 Page 39
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