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HP Prime Graphing Calculator
User Guide
Edition1
Part Number NW280-2001
Legal Notices
This manual and any examples contained herein are provided "as is" and are subject to
change without notice. Hewlett-Packard Company makes no warranty of any kind with regard
to this manual, including, but not limited to, the implied warranties of merchantability, non-
infringement and fitness for a particular purpose.
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reserved.
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copy of the QuaZIP source.
Hewlett-Packard Company shall not be liable for any errors or for incidental or consequential
damages in connection with the furnishing, performance, or use of this manual or the exam-
ples contained herein.
Product Regulatory & Environment Information
Product Regulatory and Environment Information is provided on the CD shipped with this
product.
Copyright © 2013 Hewlett-Packard Development Company, L.P.
Reproduction, adaptation, or translation of this manual is prohibited without prior written per-
mission of Hewlett-Packard Company, except as allowed under the copyright laws.
Printing History
Edition 1 July 2013
Contents 1
Contents
Preface
Manual conventions ................................................................ 9
Notice ................................................................................. 10
1 Getting started
Before starting ...................................................................... 11
On/off, cancel operations...................................................... 12
The display .......................................................................... 13
Sections of the display ...................................................... 14
Navigation........................................................................... 16
Touch gestures ................................................................. 17
The keyboard ....................................................................... 18
Context-sensitive menu ...................................................... 19
Entry and edit keys................................................................ 20
Shift keys......................................................................... 22
Adding text...................................................................... 23
Math keys ....................................................................... 24
Menus ................................................................................. 28
Toolbox menus................................................................. 29
Input forms ........................................................................... 29
System-wide settings .............................................................. 30
Home settings .................................................................. 30
Specifying a Home setting ................................................. 35
Mathematical calculations...................................................... 36
Choosing an entry type ..................................................... 36
Entering expressions ......................................................... 37
Reusing previous expressions and results ............................. 40
Storing a value in a variable.............................................. 42
Complex numbers ................................................................. 44
Sharing data ........................................................................ 44
Online Help ......................................................................... 46
2 Reverse Polish Notation (RPN)
History in RPN mode ............................................................. 48
Sample calculations............................................................... 49
Manipulating the stack........................................................... 51
3 Computer algebra system (CAS)
CAS view............................................................................. 53
CAS calculations................................................................... 54
Settings................................................................................ 55
2 Contents
4 Exam Mode
Modifying the default configuration.....................................62
Creating a new configuration.............................................63
Activating Exam Mode ...........................................................64
Cancelling exam mode......................................................66
Modifying configurations........................................................66
To change a configuration .................................................66
To return to the default configuration ...................................67
Deleting configurations ......................................................67
5 An introduction to HP apps
Application Library ................................................................71
App views ............................................................................73
Symbolic view ..................................................................73
Symbolic Setup view .........................................................74
Plot view..........................................................................75
Plot Setup view .................................................................76
Numeric view...................................................................77
Numeric Setup view ..........................................................78
Quick example......................................................................79
Common operations in Symbolic view......................................81
Symbolic view: Summary of menu buttons............................86
Common operations in Symbolic Setup view.............................87
Common operations in Plot view ............................................88
Zoom ..............................................................................88
Trace...............................................................................94
Plot view: Summary of menu buttons....................................96
Common operations in Plot Setup view.....................................96
Configure Plot view...........................................................96
Common operations in Numeric view ....................................100
Zoom ............................................................................100
Evaluating......................................................................102
Custom tables.................................................................103
Numeric view: Summary of menu buttons...........................104
Common operations in Numeric Setup view............................105
Combining Plot and Numeric Views.......................................106
Adding a note to an app......................................................106
Creating an app..................................................................107
App functions and variables .................................................109
Contents 3
6 Function app
Getting started with the Function app .................................... 111
Analyzing functions............................................................. 118
The Function Variables......................................................... 122
Summary of FCN operations ................................................ 124
7 Advanced Graphing app
Getting started with the Advanced Graphing app ................... 126
Plot Gallery ........................................................................ 134
Exploring a plot from the Plot Gallery................................ 134
8Geometry
Getting started with the Geometry app .................................. 135
Plot view in detail................................................................ 141
Plot Setup view............................................................... 146
Symbolic view in detail........................................................ 148
Symbolic Setup view....................................................... 150
Numeric view in detail ........................................................ 150
Geometric objects ............................................................... 153
Geometric transformations ................................................... 161
Geometry functions and commands....................................... 165
Symbolic view: Cmds menu ............................................. 165
Numeric view: Cmds menu.............................................. 182
Other Geometry functions................................................ 189
9 Spreadsheet
Getting started with the Spreadsheet app............................... 195
Basic operations ................................................................. 199
Navigation, selection and gestures ................................... 199
Cell references ............................................................... 200
Cell naming................................................................... 200
Entering content ............................................................. 201
Copy and paste ............................................................. 204
External references .............................................................. 204
Referencing variables...................................................... 205
Using the CAS in spreadsheet calculations ............................. 206
Buttons and keys ................................................................. 207
Formatting options .............................................................. 208
Spreadsheet functions.......................................................... 210
10 Statistics 1Var app
Getting started with the Statistics 1Var app ............................ 211
Entering and editing statistical data....................................... 215
Computed statistics.............................................................. 218
Plotting .............................................................................. 219
4 Contents
Plot types .......................................................................219
Setting up the plot (Plot Setup view)...................................221
Exploring the graph ........................................................221
11 Statistics 2Var app
Getting started with the Statistics 2Var app.............................223
Entering and editing statistical data .......................................228
Numeric view menu items ................................................229
Defining a regression model .................................................231
Computed statistics ..............................................................233
Plotting statistical data..........................................................234
Plot view: menu items ......................................................236
Plot setup .......................................................................236
Predicting values.............................................................237
Troubleshooting a plot .....................................................238
12 Inference app
Getting started with the Inference app....................................239
Importing statistics ...............................................................243
Hypothesis tests...................................................................245
One-Sample Z-Test ..........................................................246
Two-Sample Z-Test ..........................................................247
One-Proportion Z-Test ......................................................248
Two-Proportion Z-Test ......................................................249
One-Sample T-Test ..........................................................250
Two-Sample T-Test...........................................................251
Confidence intervals ............................................................253
One-Sample Z-Interval .....................................................253
Two-Sample Z-Interval......................................................253
One-Proportion Z-Interval .................................................254
Two-Proportion Z-Interval..................................................255
One-Sample T-Interval......................................................256
Two-Sample T-Interval ......................................................256
13 Solve app
Getting started with the Solve app .........................................259
One equation.................................................................260
Several equations ...........................................................263
Limitations......................................................................264
Solution information.............................................................265
14 Linear Solver app
Getting started with the Linear Solver app...............................267
Menu items.........................................................................269
Contents 5
15 Parametric app
Getting started with the Parametric app ................................. 271
16 Polar app
Getting started with the Polar app ......................................... 277
17 Sequence app
Getting started with the Sequence app .................................. 281
Another example: Explicitly-defined sequences ....................... 285
18 Finance app
Getting Started with the Finance app..................................... 287
Time value of money (TVM) .................................................. 290
TVM calculations: Another example....................................... 291
Calculating amortizations..................................................... 293
19 Triangle Solver app
Getting started with the Triangle Solver app ........................... 295
Choosing triangle types ....................................................... 297
Special cases ..................................................................... 298
20 The Explorer apps
Linear Explorer app............................................................. 299
Quadratic Explorer app....................................................... 302
Trig Explorer app................................................................ 304
21 Functions and commands
Keyboard functions ............................................................. 309
Math menu......................................................................... 313
Numbers ....................................................................... 313
Arithmetic...................................................................... 314
Trigonometry.................................................................. 316
Hyperbolic .................................................................... 317
Probability..................................................................... 317
List................................................................................ 322
Matrix........................................................................... 323
Special ......................................................................... 323
CAS menu.......................................................................... 324
Algebra ........................................................................ 324
Calculus ........................................................................ 326
Solve ............................................................................ 330
Rewrite.......................................................................... 332
Integer .......................................................................... 337
Polynomial..................................................................... 339
Plot............................................................................... 346
6 Contents
App menu ..........................................................................347
Function app functions.....................................................348
Solve app functions.........................................................349
Spreadsheet app functions ...............................................349
Statistics 1Var app functions.............................................363
Statistics 2Var app functions.............................................365
Inference app functions....................................................366
Finance app functions .....................................................372
Linear Solver app functions ..............................................374
Triangle Solver app functions ...........................................374
Linear Explorer functions ..................................................376
Quadratic Explorer functions ............................................377
Common app functions....................................................377
Ctlg menu...........................................................................378
Creating your own functions .................................................421
22 Variables
Qualifying variables ............................................................427
Home variables...................................................................428
App variables .....................................................................429
Function app variables ....................................................429
Geometry app variables ..................................................430
Spreadsheet app variables...............................................431
Solve app variables ........................................................431
Advanced Graphing app variables...................................432
Statistics 1Var app variables ............................................433
Statistics 2Var app variables ............................................435
Inference app variables ...................................................437
Parametric app variables .................................................439
Polar app variables.........................................................440
Finance app variables .....................................................440
Linear Solver app variables..............................................441
Triangle Solver app variables ...........................................441
Linear Explorer app variables...........................................441
Quadratic Explorer app variables.....................................441
Trig Explorer app variables ..............................................442
Sequence app variables ..................................................442
23 Units and constants
Units ..................................................................................443
Unit calculations ..................................................................444
Unit tools............................................................................446
Physical constants................................................................447
List of constants...............................................................449
Contents 7
24 Lists
Create a list in the List Catalog ............................................. 451
The List Editor................................................................. 453
Deleting lists ....................................................................... 455
Lists in Home view............................................................... 455
List functions ....................................................................... 457
Finding statistical values for lists............................................ 461
25 Matrices
Creating and storing matrices............................................... 464
Working with matrices......................................................... 465
Matrix arithmetic................................................................. 469
Solving systems of linear equations ....................................... 472
Matrix functions and commands............................................ 474
Matrix functions .................................................................. 475
Examples....................................................................... 486
26 Notes and Info
The Note Catalog ............................................................... 489
The Note Editor .................................................................. 490
27 Programming in HP PPL
The Program Catalog .......................................................... 498
Creating a new program ..................................................... 501
The Program Editor ......................................................... 502
The HP Prime programming language ................................... 511
The User Keyboard: Customizing key presses .................... 516
App programs ............................................................... 520
Program commands ............................................................ 527
Commands under the Tmplt menu..................................... 528
Block ............................................................................ 528
Branch .......................................................................... 528
Loop ............................................................................. 529
Variable........................................................................ 533
Function ........................................................................ 533
Commands under the Cmds menu .................................... 534
Strings .......................................................................... 534
Drawing........................................................................ 536
Matrix........................................................................... 544
App Functions ................................................................ 546
Integer .......................................................................... 547
I/O .............................................................................. 549
More ............................................................................ 554
Variables and Programs .................................................. 556
8 Contents
28 Basic integer arithmetic
The default base..................................................................582
Changing the default base...............................................583
Examples of integer arithmetic...............................................584
Integer manipulation ............................................................585
Base functions .....................................................................586
A Glossary
B Troubleshooting
Calculator not responding ....................................................591
To reset .........................................................................591
If the calculator does not turn on .......................................591
Operating limits ..................................................................592
Status messages ..................................................................592
C Product regulatory information
Federal Communications Commission notice...........................595
European Union Regulatory Notice........................................597
Index ...................................................................................601
Preface 9
Preface
Manual conventions
The following conventions are used in this manual to
represent the keys that you press and the menu options
that you choose to perform operations.
• A key that initiates an unshifted function is
represented by an image of that key:
e,B,H, etc.
• A key combination that initiates a shifted unction (or
inserts a character) is represented by the appropriate
shift key (
S or A) followed by the key for that
function or character:
Sh initiates the natural exponential function
and
Az inserts the pound character (#)
The name of the shifted function may also be given in
parentheses after the key combination:
SJ(Clear), SY (Setup)
• A key pressed to insert a digit is represented by that
digit:
5, 7, 8, etc.
• All fixed on-screen text—such as screen and field
names—appear in bold:
CAS Settings,
XSTEP, Decimal Mark, etc.
• A menu item selected by touching the screen is
represented by an image of that item:
, , .
Note that you must use your finger to select a menu
item. Using a stylus or something similar will not
select whatever is touched.
10 Preface
• Items you can select from a list, and characters on the
entry line, are set in a non-proportional font, as
follows:
Function, Polar, Parametric, Ans, etc.
• Cursor keys are represented by
=, \, >, and <.
You use these keys to move from field to field on a
screen, or from one option to another in a list of
options.
• Error messages are enclosed in quotation marks:
“Syntax Error”
Notice
This manual and any examples contained herein are
provided as-is and are subject to change without notice.
Except to the extent prohibited by law, Hewlett-Packard
Company makes no express or implied warranty of any
kind with regard to this manual and specifically disclaims
the implied warranties and conditions of merchantability
and fitness for a particular purpose and Hewlett-Packard
Company shall not be liable for any errors or for
incidental or consequential damage in connection with
the furnishing, performance or use of this manual and the
examples herein.
1994–1995, 1999–2000, 2003–2006, 2010–2013
Hewlett-Packard Development Company, L.P.
The programs that control your HP Prime are copyrighted
and all rights are reserved. Reproduction, adaptation, or
translation of those programs without prior written
permission from Hewlett-Packard Company is also
prohibited.
For hardware warranty information, please refer to the
HP Prime Quick Start Guide.
Product Regulatory and Environment Information is
provided on the CD shipped with this product.
Getting started 11
1
Getting started
The HP Prime Graphing Calculator is an easy-to-use yet
powerful graphing calculator designed for secondary
mathematics education and beyond. It offers hundreds of
functions and commands, and includes a computer
algebra system (CAS) for symbolic calculations.
In addition to an extensive library of functions and
commands, the calculator comes with a set of HP apps.
An HP app is a special application designed to help you
explore a particular branch of mathematics or to solve a
problem of a particular type. For example, there is a HP
app that will help you explore geometry and another to
help you explore parametric equations. There are also
apps to help you solve systems of linear equations and to
solve time-value-of-money problems.
The HP Prime also has its own programming language
you can use to explore and solve mathematical problems.
Functions, commands, apps and programming are
covered in detail later in this guide. In this chapter, the
general features of the calculator are explained, along
with common interactions and basic mathematical
operations.
Before starting
Charge the battery fully before using the calculator for the
first time. To charge the battery, either:
• Connect the calculator to a computer using the USB
cable that came in the package with your HP Prime.
(The PC needs to be on for charging to occur.)
• Connect the calculator to a wall outlet using the HP-
provided wall adapter.
12 Getting started
When the calculator is on, a battery symbol appears in
the title bar of the screen. Its appearance will indicate how
much power the battery has. A flat battery will take
approximately 4 hours to become fully charged.
Battery Warning • To reduce the risk of fire or burns, do not
disassemble, crush or puncture the battery; do not
short the external contacts; and do not dispose of the
battery in fire or water.
• To reduce potential safety risks, only use the battery
provided with the calculator, a replacement battery
provided by HP, or a compatible battery
recommended by HP.
• Keep the battery away from children.
• If you encounter problems when charging the
calculator, stop charging and contact HP
immediately.
Adapter Warning • To reduce the risk of electric shock or damage to
equipment, only plug the AC adapter into an AC
outlet that is easily accessible at all times.
• To reduce potential safety risks, only use the AC
adapter provided with the calculator, a replacement
AC adapter provided by HP, or an AC adapter
purchased as an accessory from HP.
On/off, cancel operations
To turn on Press
O
to turn on the calculator.
To cancel When the calculator is on, pressing the J key cancels
the current operation. For example, it will clear whatever
you have entered on the entry line. It will also close a
menu and a screen.
To turn off Press
SO
(Off) turn the calculator off.
To save power, the calculator turns itself off after several
minutes of inactivity. All stored and displayed information
is saved.
Getting started 13
The Home View Home view is the starting point for many calculations.
Most mathematical functions are available in the Home
view. Some additional functions are available in the
computer algebra system (CAS). A history of your
previous calculations is retained and you can re-use a
previous calculation or its result.
To display Home view, press
H
.
The CAS View CAS view enables you to perform symbolic calculations. It
is largely identical to Home view—it even has its own
history of past calculations—but the CAS view offers some
additional functions.
To display CAS view, press
K
.
Protective cover The calculator is provided with a slide cover to protect the
display and keyboard. Remove the cover by grasping
both sides of it and pulling down.
You can reverse the slide cover and slide it onto the back
of the calculator. This will ensure that you do not misplace
the cover while you are using the calculator.
To prolong the life of the calculator, always place the
cover over the display and keyboard when you are not
using the calculator.
The display
To adjust the
brightness
To adjust the brightness of the display, press and hold
O, then press the
+
or
w
key to increase or
decrease the brightness. The brightness will change with
each press of the
+
or
w
key.
To clear the display • Press J or O to clear the entry line.
• Press
SJ (Clear) to clear the entry line and the
history.
14 Getting started
Sections of the display
Home view has four sections (shown above). The title bar
shows either the screen name or the name of the app you
are currently using—Function in the example above. It
also shows the time, a battery power indicator, and a
number of symbols that indicate various calculator
settings. These are explained below. The
history displays
a record of your past calculations. The
entry line
displays the object you are currently entering or
modifying. The
menu buttons are options that are
relevant to the current display. These options are selected
by tapping the corresponding menu button. You close a
menu, without making a selection from it, by pressing
J.
Annunciators. Annunciators are symbols or characters
that appear in the title bar. They indicate current settings,
and also provide time and battery power information.
Title bar
History
Menu buttons
Entry line
Annunciator Meaning
[Lime green] The angle mode setting is currently
degrees.
[Lime green] The angle mode setting is currently
radians.
[Cyan] The Shift key is active. The function
shown in blue on a key will be
activated when a key is pressed.
Press
S to cancel shift mode.
π
SS
Getting started 15
CAS
[White] You are working in CAS view, not
Home view.
[orange] In Home view
The Alpha key is active. The charac-
ter shown in orange on a key will
be entered in uppercase when a
key is pressed. See “Adding text”
on page 23 for more information.
In CAS view
The Alpha–Shift key combination is
active. The character shown in
orange on a key will be entered in
uppercase when a key is pressed.
See “Adding text” on page 23 for
more information.
[orange] In Home view
The Alpha–Shift key combination is
active. The character shown in
orange on a key will be entered in
lowercase when a key is pressed.
See “Adding text” on page 23 for
more information.
In CAS view
The Alpha key is active. The charac-
ter shown in orange on a key will
be entered in lowercase when a key
is pressed. See “Adding text” on
page 23 for more information.
[Yellow] The user keyboard is active. All the
following key presses will enter the
customized objects associated with
the key. See “The User Keyboard:
Customizing key presses” on page
516 for more information.
Annunciator Meaning (Continued)
A
...Z
a...z
UU
16 Getting started
Navigation
The HP Prime offers two modes of navigation: touch and
keys. In many cases, you can tap on an icon, field, menu,
or object to select (or deselect) it. For example, you can
open the Function app by tapping once on its icon in the
Application Library. However, to open the Application
Library, you will need to press a key:
I.
Instead of tapping an icon in the Application Library, you
can also press the cursor keys—
=,\,<,>—until the
app you want to open is highlighted, and then press
E. In the Application Library, you can also type the
first one or two letters of an app’s name to highlight the
app. Then either tap the app’s icon or press
E to
open it.
Sometimes a touch or key–touch combination is available.
For example, you can deselect a toggle option either by
tapping twice on it, or by using the arrow keys to move to
the field and then tapping a touch button along the bottom
of the screen (in this case ).
Note that you must use your finger or a capacitive stylus
to select an item by touch.
[Yellow] The user keyboard is active. The
next key press will enter the custom-
ized object associated with the key.
See “The User Keyboard: Customiz-
ing key presses” on page 516 for
more information.
[Time] Current time. The default is 24-hour
format, but you can choose
AM–PM
format. See “Home settings” on
page 30 for more information.
[Green with
gray border]
Battery-charge indicator.
Annunciator Meaning (Continued)
1U1U
/