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TI-30XPlusMultiView™ Calculator
Important information 2
Examples 3
Switching the calculator on and off 3
Display contrast 3
Home screen 4
2nd functions 6
Modes 6
Multi-tap keys 9
Menus 10
Scrolling expressions and history 11
Answer toggle 12
Last answer 12
Order of operations 13
Clearing and correcting 15
Fractions 16
Percentages 18
EE key 19
Powers, roots and inverses 20
Pi 21
Math 22
Number functions 23
Angles 24
Rectangular to polar 27
Trigonometry 29
Hyperbolics 31
Logarithm and exponential functions 32
Stored operations 32
Memory and stored variables 34
Data editor and list formulas 37
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2
Statistics, regressions, and distributions 40
Probability 54
Function table 56
Number bases 59
Expression evaluation 61
Constants 62
Conversions 65
Complex numbers 68
Errors 72
Battery information 77
Texas Instruments Support and Service 79
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 materialsby any
other party.
MathPrint, APD, Automatic Power Down, EOS, and MultiView
are trademarks of Texas Instruments Incorporated.
Copyright © 2014 Texas Instruments Incorporated
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3
Examples
Each section is followed by instructions for keystroke
examples that demonstrate the TI-30XPlus
MultiView functions.
Examples assume all default settings, as shown in the
Modes section.
Some screen elements may differ from those shown in
this document.
Switching the calculator on and off
& turns on the 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 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 U (to darken the screen) or U (to
lighten the screen).
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4
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-30XPlus 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
^, Ü, e
x
, and 10
x
.
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 and cursors 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, ENG Scientific or engineering
notation. (See Mode section.)
DEG, RAD,
GRAD
Angle mode (degrees,
radians, or gradians). (See
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5
Indicator Definition
Mode section.)
L1, L2, L3 Displays above the lists in data
editor.
H, B, O Indicates HEX, BIN, or OCT
number-base mode. No
indicator displayed for default
DEC mode.
The calculator is performing
an operation.
5 6
An entry is stored in memory
before and/or after the active
screen. Press # and $ to
scroll.
3 4
An entry or menu displays
beyond 16 digits. Press ! or
" to scroll.
Normal cursor. Shows where
the next item you type will
appear.
Entry-limit cursor. No
additional characters can be
entered.
Placeholder box for empty
MathPrint™ element. Use
arrow keys to move into the
box.
MathPrint™ cursor. Continue
entering the current
MathPrint™ element, or press
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6
Indicator Definition
an arrow key to exit the
element.
2nd functions
%
Most keys can perform more than one function. 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, % b 25 < calculates the square root of
25 and returns the result, 5.
Modes
q
Use q to choose modes. Press $ # ! " to
choose a mode, and < to select it. Press - or
% s to return to the Home screen and perform
your work using the chosen mode settings.
Default settings are highlighted in these sample
screens.
DEG RAD GRAD Sets the angle mode to degrees,
radians, or gradians.
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7
NORM SCI ENG 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 1.2345678×5 (which is the same as
1.2345678×10
5
).
ENG displays results as a number from 1 to 999
times 10 to an integer power. The integer power
is always a multiple of 3.
Note: E is a shortcut key to enter a number in
scientific notation format. The result displays in
the numeric notation format selected in the mode
menu.
FLOAT0 1 2 3 4 5 6 7 8 9 Sets the decimal notation
mode.
FLOAT (floating decimal point) displays up to 10
digits, plus the sign and decimal.
0 1 2 3 4 5 6 7 8 9 (fixed decimal point) specifies
the number of digits (0 through 9) to display to the
right of the decimal.
REALa+bir±qSets the format of complex number
results.
REAL real results
a+bi rectangular results
r±q polar results
DECHEXBINOCTSets the number base used for
calculations.
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8
DEC decimal
HEX hexadecimal (To enter hex digits A through
F, use % §, % ¨, and so on.)
BIN binary
OCT octal
CLASSICMATHPRINT
CLASSIC mode displays inputs and outputs in a
single line.
MATHPRINT mode displays most inputs and
outputs in textbook format.
Examples 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.
U n/d U n/d
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9
Classic mode MathPrint™ mode
Exponent example Exponent example
Square root example Square root example
Cube root example Cube root example
Multi-tap keys
A multi-tap key is one that cycles through multiple
functions when you press it.
For example, the X key contains the trigonometry
functions sin and sin/ as wellas the hyperbolic
functions sinh and sinh/. Press the key repeatedly to
display the function that you want to enter.
Multi-tap keys include z, X, Y, Z, C, D,
H, and g. Applicable sections of this guidebook
describe how to use the keys.
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10
Menus
Menus give you access to a large number of calculator
functions. Some menu keys, such as % h,display
a single menu. Others, such as d, display multiple
menus.
Press " and $ to scroll and select a menu item, or
press the corresponding number next to the item. To
return to the previous screen without selecting the
item, press -. To exit a menu and return to the
Home screen, press % s.
% h (key with a single menu):
RECALL VAR (with values set to default of 0)
1: x = 0
2: y = 0
3: z = 0
4: t = 0
5: a = 0
6: b = 0
7: c = 0
8: d = 0
d (key with multiple menus):
MATH NUM DMS R³´ P
1:4n/
d
³4U
n
/
d
1: abs( 1: ° 1: P ´Rx(
2: lcm( 2: round( 2: ¢ 2: P ´Ry(
3: gcd( 3: iPart( 3: £ 3: R ´Pr(
4: 4Pfactor 4: fPart( 4: r 4: R ´Pq(
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11
MATH NUM DMS R³´ P
5: sum( 5: int( 5: g
6: prod( 6: min( 6: ´DMS
7: max(
8: mod(
Scrolling expressions and history
! " # $
Press ! or " to move the cursor within an expression
that you are entering or editing. Press % ! or %
"to move the cursor directly to the beginning or end of
the expression.
After you evaluate an expression, the expression and
its result are added automatically to the history. Use #
and $ to scroll through the history. You can reuse a
previous entry by pressing < to paste it on the
bottom line, where you can edit it and evaluate a new
expression.
Example
Scroll 7 F U 4
( 3 ) ( 1 )<
% b # # <
<
r
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12
Answer toggle
r
Press the r key to toggle the display result (when
possible) between fraction and decimal answers, exact
square root and decimal, and exact pi and decimal.
Pressing r displays the last result in the fullprecision
of its stored value, which may not match the rounded
value.
Example
Answer
toggle
% b 8 <
r
Last answer
% i
The last entry performed on the home screen is stored
to the variable ans. This variable is retained in memory,
even after the 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
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13
ans 3 V 3 <
V 3 <
3 % c % i
Order of operations
The TI-30XPlus 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´P menu items.
3rd Fractions.
4th
Functions that are entered after the
argument, such as x
2
and angle unit
modifiers.
5th Exponentiation (^) and roots (
x
).
Note: In Classic mode, exponentiation
using the G key is evaluated from left
to right. The expression 2^3^2 is
evaluated as (2^3)^2, with a result of
64.
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14
In MathPrint™ mode, exponentiation
using the G key is evaluated from right
to left. The expression 2^3^2 is
evaluated as 2^(3^2), with a result of
512.
The calculator evaluates expressions
entered with F and a from left to right
in both Classic and MathPrint™ modes.
Pressing 3 F F is calculated as (3
2
)
2
=81.
6th
Negation (M).
7th Permutations (nPr) and combinations
(nCr).
8th Multiplication, implied multiplication,
division.
9th Addition and subtraction.
10th Conversions (n/d ³´Un/d, F ³´D,
4DMS).
11th < completes alloperations and
closes all open parentheses.
Examples
+ Q P M 6 0 T 5 V M1 2
<
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15
(M) 1 T M 8 T 1 2 <
% b 9 T 16 <
() 4 V ( 2 T 3 ) <
4 ( 2 T 3 ) <
^ and % b 3 G 2 " T 4
G 2 <
Clearing and correcting
% s Returns to the Home screen.
-
Clears an error message.
Clears characters on entry line.
Moves the cursor to last entry in
history once display is clear.
J
Deletes the character at the
cursor.
% f Inserts a character at the cursor.
% { Clears variables x, y, z, t, a, b, c,
and d to their default value of 0.
% 2 Resets the calculator. Returns
unit to default settings; clears
memory variables, pending
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16
operations, allentries in history,
and statistical data; clears any
stored operation, and ans.
Fractions
P % @ d 1 % ãf³´dä
In the MathPrint™ mode, fractions with P can include
real and complex numbers, operation keys (T, V,
etc.), and most function keys (F, %, _, etc.).
In Classic mode, fractions with P do not allow
operation keys, functions, or complex fractions in the
numerator or denominator.
Note: In Classic mode, only number entries are
supported when using P. Fractions in Classic mode
are shown with a double-thick fraction bar (for
example, ). The numerator must be an integer,
and the denominator must be a positive integer. To
compute more complex expressions (functions,
variables, complex numbers, etc.), use W along with
( and ).
The calculator defaults output to improper fractions.
Results are automatically simplified.
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 or radicals,
press P before you enter a number (in
MathPrint™ mode only).
In MathPrint™ mode, press $ between the entry
of the numerator and the denominator.
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17
In Classic mode, press P between the entry of
the numerator and the denominator. The fraction
bar will appear thicker than the division bar.
Pressing % # from any MathPrint™ level,
including the denominator or a lower limit, places
the cursor in the history. Pressing enter will then
paste the expression back to that MathPrint™
level.
- To paste a previous entry in the
denominator, place the cursor in the
denominator, press % # to scroll to the
desired entry, and then press < to paste
the entry to the denominator.
- To paste a previous entry in the numerator
or unit, place the cursor in the numerator or
unit, press # or % # to scrollto the
desired entry, and then press < to paste
the entry to the numerator or unit.
% @ enters a mixed number. Press the arrow
keys to cycle through the unit, numerator, and
denominator.
d 1 converts between simple fractions and
mixed-number form (4n/
d
³´U
n
/
d
).
% ãf³ò´dä converts results between fractions
and decimals.
Examples Classic mode
n/
d
, U
n
/
d
3 P 4 T 1 % @ 7
P 12 <
n/
d
³´U
n
/
d
9 P 2 d 1 <
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18
F³´D 4 % @ 1 P 2 %
ãf³´dä <
Examples MathPrint™ mode
n/d, U n/d P 3 $ 4 " T 1
% @ 7 $ 12
<
n/
d
³´U
n
/
d
9 P 2 " d 1
<
F³´D 4 % @ 1 $ 2 "
% ãf³´dä <
Examples
(
MathPrint
mode
only)
P 1.2 T 1.3 $ 4
<
(
MathPrint
mode
only)
P M 5 T % b 5
F U 4 ( 1 ) ( 6
) $ 2 ( 1 ) <
Percentages
% _
To perform a calculation involving a percentage, press
% _ after entering the value of the percentage.
Example
30XPlusMV_OM.flpgl Page 18Friday, November 14, 2014 1:57 PM
19
2 % _ V 150 <
Š 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 dollars, what is the total
value of the metal extracted?
3 % _ V 5000 <
T 2.3 % _ V 7300 <
V 280 <
The two extractions represent a total of 317.9 tons of
metal for a total value of 89012 dollars.
EE key
E
E is a shortcut key to enter a number in scientific
notation format.
Example
30XPlusMV_OM.flpgl Page 19Friday, November 14, 2014 1:57 PM
20
2 E 5 <
q $ " <
- <
Powers, roots and inverses
F
Calculates the square of a value. The
TI-30XPlus MultiView calculator
evaluates expressions entered with F
and a from left to right in both Classic
and MathPrint™ modes.
G
Raises a value to the power indicated.
Use " to move the cursor out of the
power.
% b Calculates the square root of a non-
negative value.
% c
Calculates the nth root of any non-
negative value and any odd integer
root of a negative value.
a
Gives the inverse of a value: 1/x. The
calculator evaluates expressions
entered with F and a from left to
right in both Classic and MathPrint™
modes.
Examples
30XPlusMV_OM.flpgl Page 20Friday, November 14, 2014 1:57 PM
21
q $ < -
5 F T 4 G 2 T 1 " <
10 G M 2 <
% b 49 <
% b 3 F T 2 G 4 <
6 % c 64 <
2 % a <
Pi
g (multi-tap key)
p = 3.141592653590 for calculations.
p = 3.141592654 for display.
Example
p
2 V g <
r
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22
Š ³
Problem
What is the area of a circle if the radius is 12 cm?
Reminder: A = p×r
2
g V 12 F <
r
The area of the circle is 144 p square cm. The area of
the circle is approximately 452.4 square cm when
rounded to one decimal place.
Math
d MATH
d displays the MATH menu:
1:4n/
d
³´U
n
/
d
Converts between simple fractions
and mixed-number form.
2: lcm( Least common multiple
3: gcd( Greatest common divisor
4: 4Pfactor Prime factors
5: sum( Summation
6: prod( Product
Examples
n/
d
³´U
n
/
d
9 P 2 " d 1 <
lcm( d 2
6 % ` 9 ) <
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23
gcd( d 3
18 % ` 33 ) <
4Pfactor 253 d 4 <
sum( d 5
1 " 4 " z V 2
<
prod(S d 6
1 " 5 " 1 P z
" " <
Number functions
d NUM
d " displays the NUM menu:
1: abs( Absolute value
2: round( Rounded value
3: iPart( Integer part of a number
4: fPart( Fractional part of a number
5: int( Greatest integer that is Å the number
6: min( Minimum of two numbers
7: max( Maximum of two numbers
8: mod( Modulo (remainder of first number P
second number)
Examples
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24
abs( d " 1
M % b 5 <
round( d " 2
1.245 % ` 1 )
<
##<
! ! ! ! ! 5 <
iPart(
fPart(
4.9 L z <
d " 3 z )
<
d " 4 z )
V 3 <
int( d " 5
M 5.6 ) <
min(
max(
d " 6
4 % ` M 5 )
<
d " 7
.6 % ` .7 ) <
mod( d " 8
17 % ` 12 ) <
# # < ! ! 6
<
Angles
d DMS
d " " displays the DMS menu:
1: ° Specifies the angle unit modifier as
degrees (º).
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25
2: ¢ Specifies the angle unit modifier as
minutes (').
3: £ Specifies the angle unit modifier as
seconds (").
4: r Specifies a radian angle.
5: g Specifies a gradian angle.
6: "
DMS
Converts angle from decimal degrees
to degrees, minutes, and seconds.
You can also convert between rectangular coordinate
form (R) and polar coordinate form (P). (See
Rectangular to polar for more information.)
Choose an angle mode from the mode screen. You
can choose from DEG (default), RAD, or GRAD.
Entries are interpreted and results displayed according
to the angle mode setting without needing to enter an
angle unit modifier.
Examples
RAD q " <
-
X 30 d " "
1 ) <
DEG q <
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26
-
2 g d " " 4
<
4DMS 1.5 d " " 6
<
Š³
Problem
Two adjacent angles measure 12° 31¢ 45£ and 26° 54¢
38£ respectively. Add the two angles and display the
result in DMS format. Round the results to two decimal
places.
- q $ $ " " " <
- 12 d " "
1
31 d " " 2
45 d " " 3
T 26 d " " 1
54 d " " 2
38 d " " 3 <
d " " 6 <
The result is 39 degrees, 26 minutes and 23 seconds.
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27
Š³
Problem
It is known that 30° = p / 6 radians. In the default mode,
degrees, find the sine of 30°. Then set the calculator to
radian mode and calculate the sine of p / 6 radians.
Note: Press - to clear the screen between
problems.
- X 30 ) <
q " < -
X g P 6 " ) <
Retain radian mode on the calculator and calculate the
sine of 30°. Change the calculator to degree mode and
find the sine of p / 6 radians.
X 30 d " " < )
<
q < -
X g P 6 " d " " 4
) <
Rectangular to polar
d R³´P
d ! displays the R³´P menu, which has functions
for converting coordinates between rectangular (x,y)
and polar (r,q) format. Set Angle mode, as necessary,
before starting calculations.
1: P ´Rx( Converts polar to rectangular and
displays x.
30XPlusMV_OM.flpgl Page 27Friday, November 14, 2014 1:57 PM
28
2: P ´Ry( Converts polar to rectangular and
displays y.
3: R ´Pr( Converts rectangular to polar and
displays r.
4: R ´Pq
(
Converts rectangular to polar and
displays q.
Example
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 $ $ " "
<
- d ! 1
5 % ` 30 ) <
d ! 2
5 % ` 30 ) <
d ! 3
3 % ` 4 ) <
d ! 4
3 % ` 4 ) <
Converting (r, q) = (5, 30) gives (x, y) = (4.3, 2.5) and
(x, y) = (3, 4) gives (r, q) = (5.0, 53.1).
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29
Trigonometry
X Y Z (multi-tap keys)
Enter trigonometric functions (sin, cos, tan, sin
-1
, cos
-1
,
tan
-1
), just as you would write them. Set the desired
Angle mode before starting trigonometric calculations.
Example Degree Mode
tan q $ $ < -
Z 45 ) <
tan
-1
-
Z Z 1 ) <
cos -
5 V Y 60 ) <
Example Radian Mode
tan q " < -
Z g P 4 " )
<
tan
-1
-
Z Z 1 ) <
r
cos -
5 V Y g P 4 "
)
<
30XPlusMV_OM.flpgl Page 29Friday, November 14, 2014 1:57 PM
30
r
Š³
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 =
7
3
therfore
m
±A =
tan
-1
( )
7
3
m
±A +
m
±B + 90° = 18
therefore
m
±B = 90° -
m
±A
c =
q < $ $ " " <
- Z Z 7 P 3 ) <
90 U % i <
30XPlusMV_OM.flpgl Page 30Friday, November 14, 2014 1:57 PM
31
% b 3 F T 7 F <
r
To one decimal place, the measure of angle A is 66.8°,
the measure of angle B is 23.2°, and the length of the
hypotenuse is 7.6meters.
Hyperbolics
X Y Z (multi-tap keys)
Pressing one of these multi-tap keys repeatedly lets
you access the corresponding hyperbolic or inverse
hyperbolic function. Angle modes do not affect
hyperbolic calculations.
Example
Set
floating
decimal
q $ $ <
HYP -
X X X 5 ) T 2
<
##<%!
X X X X <
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32
Logarithm and exponential functions
D C (multi-tap keys)
D yields the logarithm of a number to the base e
(e 2.718281828459).
D D yields the common logarithm of a number.
C raises e to the power you specify.
C C raises 10 to the power you specify.
Examples
LOG D D 1 ) <
LN D 5 ) V 2 <
10
-
C C D
D
2 ) <
D D C
C
5 " ) <
e
õ
-
C .5 <
Stored operations
% m % n
% n lets you store a sequence of operations. %
m plays back the operation.
To set an operation and then recall it:
30XPlusMV_OM.flpgl Page 32Friday, November 14, 2014 1:57 PM
33
1. Press % n.
2. Enter any combination of numbers, operators,
and/or values, up to 44 characters.
3. Press < to store the operation.
4. Press % m to recall the stored operation and
apply it to the last answer or the current entry.
If you apply % m directly to a % m result, the
n=1 iteration counter is incremented.
Examples
Clear op % n
If a stored op is
present, click - to
clear it.
Set op V 2 T 3 <
Recallop % s
4 % m
% m
6 % m
Redefine
op
% n -
F <
Recallop 5 % m
20 % m
30XPlusMV_OM.flpgl Page 33Friday, November 14, 2014 1:57 PM
34
Š ³
Problem
Given the linear function y=5x–2, calculate y for the
following values of x: -5; -1.
% n -
V 5 U 2 <
M 5 % m
M 1 % m
Memory and stored variables
z L % h % {
The TI-30XPlus MultiView calculator has 8 memory
variablesx, y, z, t, a, b, c, andd. You can store a real
or complex number or an expression result to a
memory variable.
Features of the calculator that use variables (such as
the solvers) will use the values that you store.
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 is a multi-tap key that cycles through the variable
names x, y, z, t, a, b, c, andd. 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. To enter two or more variables in
succession, press " after each.
30XPlusMV_OM.flpgl Page 34Friday, November 14, 2014 1:57 PM
35
% 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 variable values. Press % {
and select 1: Yes to clear all variable values.
Examples
Start with
clear
screen
% s -
Clear Var % {
Store 1(Selects Yes)
15 L z
<
Recall % h
< F <
L z z
30XPlusMV_OM.flpgl Page 35Friday, November 14, 2014 1:57 PM
36
<
z z
< W 4 <
Š ³
Problem
In a gravelquarry, 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? Display the
results in engineering notation.
q $ " " < -
350 V 560 L z <
340 V 610 L z z
<
150 V % h
< <
30XPlusMV_OM.flpgl Page 36Friday, November 14, 2014 1:57 PM
37
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 formulas
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 formulas accept allcalculator functions and real
numbers.
Numeric notation, decimal notation, and angle modes
affect the display of an element (except fractional
elements).
Example
30XPlusMV_OM.flpgl Page 37Friday, November 14, 2014 1:57 PM
38
L1 v 1 P 4 $
2 P 4 $
4 P 4 <
Formula " v "
<
v < %
ãf³´dä<
<
Notice L2 is calculated using the formula you entered,
and L2(1)= in the author line is highlighted to indicate
the list is the result of a formula.
Š ³
Problem
On a November day, a weather report on the Internet
listed the following temperatures.
Paris, France 8°C
Moscow, Russia M1°C
Montreal, Canada 4°C
Convert these temperatures from degrees Celsius to
degrees Fahrenheit. (See also the section on
Conversions.)
Reminder: F=
9
5
C+32
30XPlusMV_OM.flpgl Page 38Friday, November 14, 2014 1:57 PM
39
v v 4
v " 5
8 $ M 1 $ 4 $ "
v " 1
9 W 5 V v 1 T 32
<
If Sydney, Australia is 21°C, find the temperature in
degrees Fahrenheit.
!$$$ 21 <
30XPlusMV_OM.flpgl Page 39Friday, November 14, 2014 1:57 PM
40
Statistics, regressions, and distributions
v % u
v lets you enter and edit the data lists.
% u displays the STAT-REG menu, which
has the following options.
Note: Regressions store the regression information,
along with the 2-Var statistics for the data, in StatVars
(menu item1).
1: StatVars Displays a secondary menu of
statistical result variables. Use $
and # to locate the desired
variable, and press < to select
it. If you select this option before
calculating 1-Var stats, 2-Var
stats, or any of the regressions, a
reminder appears.
2: 1-Var Stats Analyzes statistical data from 1
data set with 1 measured variable,
x. Frequency data may be
included.
3: 2-Var Stats Analyzes paired data from 2 data
sets with 2 measured variables—x,
the independent variable, and
y
,
the dependent variable.
Frequency data may be included.
Note: 2-Var Stats also computes a
linear regression and populates
the linear regression results.
4: LinReg
ax+b
Fits the model equation y=ax+b to
the data using a least-squares fit. It
30XPlusMV_OM.flpgl Page 40Friday, November 14, 2014 1:57 PM
41
displays values for a (slope) and b
(y-intercept); it also displays values
for r
2
and r.
5:
QuadraticReg
Fits the second-degree polynomial
y=ax
2
+bx+c to the data. It displays
values for a, b, and c; it also
displays a value for R
2
. For three
data points, the equation is a
polynomial fit; for four or more, it is
a polynomial regression. At least
three data points are required.
6: CubicReg Fits the third-degree polynomial
y=ax
3
+bx
2
+cx+d to the data. It
displays values for a, b, c, and d; it
also displays a value for R
2
. For
four points, the equation is a
polynomial fit; for five or more, it is
a polynomial regression. At least
four points are required.
7: LnReg
a+blnx
Fits the model equation y=a+b ln
(x) to the data using a least
squares fit and transformed values
ln(x) and y. It displays values for a
and b; it also displays values for r
2
and r.
8: PwrReg
ax^b
Fits the model equation y=ax
b
to
the data using a least-squares fit
and transformed values ln(x) and
ln(y). It displays values for a and b;
it also displays values for r
2
and r.
9: ExpReg
ab^x
Fits the model equation y=ab
x
to
the data using a least-squares fit
and transformed values x and ln
30XPlusMV_OM.flpgl Page 41Friday, November 14, 2014 1:57 PM
42
(y). It displays values for a and b; it
also displays values for r
2
and r.
% u " displays the DISTR menu, which
has the following distribution functions:
1: Normalpdf Computes the probability density
function (pdf) for the normal
distribution at a specified x value.
The defaults are mean mu=0 and
standard deviation sigma=1. The
probability density function (pdf) is:
2: Normalcdf Computes the normal distribution
probability between LOWERbnd
and UPPERbnd for the specified
mean mu and standard deviation
sigma. The defaults are mu=0;
sigma=1; with LOWERbnd = M1E99
and UPPERbnd = 1E99. Note: M1E99
to 1E99 represents Minfinity to infinity.
3: invNorm Computes the inverse cumulative
normal distribution function for a
given area under the normal
distribution curve specified by mean
mu and standard deviation sigma. It
calculates the x value associated
with an area to the left of the x value.
0{area{1 must be true. The
defaults are area=1, mu=0 and
sigma=1.
30XPlusMV_OM.flpgl Page 42Friday, November 14, 2014 1:57 PM
43
4: Binompdf
Computes a probability at x for the
discrete binomialdistribution with
the specified numtrials and
probability of success (p) on each
trial. x is a non-negative integer and
can be entered with options of
SINGLE entry, LIST of entries or
ALL (list of probabilities from 0 to
numtrials is returned). 0 { p {1
must be true. The probability
density function (pdf) is:
5: Binomcdf Computes a cumulative probability
at x for the discrete binomial
distribution with the specified
numtrials and probability of success
(p) on each trial. x can be non-
negative integer and can be
entered with options of SINGLE,
LIST or ALL (a list of cumulative
probabilities is returned.) 0 { p {1
must be true.
6:
Poissonpdf
Computes a probability at x for the
discrete Poisson distribution with
the specified mean mu (m), which
must be a real number > 0. x can be
an non-negative integer (SINGLE)
or a list of integers (LIST). The
probability density function (pdf) is:
7: Poissoncdf Computes a cumulative probability
at x for the discrete Poisson
30XPlusMV_OM.flpgl Page 43Friday, November 14, 2014 1:57 PM
44
distribution with the specified mean
mu, which must be a real number >
0. x can be an non-negative integer
(SINGLE) or a list of integers
(LIST).
Note: The default value for mu (m) is 0. For Poissonpdf
and Poissoncdf, you must change it to a value > 0.
1-Var Stats and 2-Var Stats results
Important note about results: Many of the regression
equations share the same variables a, b, c, and d. If
you perform any regression calculation, the regression
calculation and the 2-Var statistics for that data are
stored in the StatVars menu until the next statistics or
regression calculation. The results must be interpreted
based on which type of statistics or regression
calculation was last performed. To help you interpret
correctly, the title bar reminds you of which calculation
was last performed.
Variables Definition
n Number of
x
or (
x
,
y
) data points.
v or w Mean of all
x
or
y
values.
Sx or Sy Sample standard deviation of
x
or
y
.
sx or sy Population standard deviation of
x
or
y
.
Gx or Gy Sum of all
x
or
y
values.
Gx
2
or Gy
2
Sum of all
x
2
or
y
2
values.
Gxy
Sum of (
x
y
) for all xy pairs.
a(2-Var) Linear regression slope.
30XPlusMV_OM.flpgl Page 44Friday, November 14, 2014 1:57 PM
45
b(2-Var) Linear regression
y
-intercept.
r(2-Var) Correlation coefficient.
x¢ (2-Var) Uses
a
and
b
to calculate predicted
x
value when you input a
y
value.
y¢ (2-Var) Uses
a
and
b
to calculate predicted
y
value when you input an
x
value.
MinX
Minimum of
x
values.
Q1 (1-Var)
Median of the elements between
MinX and Med (1st quartile).
Med
Median of alldata points (1-Var
stats only).
Q3 (1-Var)
Median of the elements between
Med and MaxX (3rd quartile).
MaxX
Maximum of x values.
To define statistical data points:
1. Enter data in L1, L2, or L3. (See Data editor.)
Note: Non-integer frequency elements are valid.
This is useful when entering frequencies
expressed as percentages or parts that add up to
1. However, the sample standard deviation, Sx, is
undefined for non-integer frequencies, and
Sx=Error is displayed for that value. All other
statistics are displayed.
2. Press % u. 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.
30XPlusMV_OM.flpgl Page 45Friday, November 14, 2014 1:57 PM
46
5. To clear data, press v v, select a list to
clear, and press <.
1-Var Example
Find the mean of {45, 55, 55, 55}
Clear all
data
v v $ $ $
Data <
45 $ 55 $ 55 $ 55
<
Stat % s
% u
2 (Selects 1-Var
Stats)
$ $
<
Stat Var 2 <
V 2 <
2-Var Example
Data: (45,30); (55,25). Find: x¢(45)
30XPlusMV_OM.flpgl Page 46Friday, November 14, 2014 1:57 PM
47
Clear all
data
v v $ $ $
Data < 45 $ 55 $ "
30 $ 25 $
Stat % u
3 (Selects 2-Var
Stats)
$ $ $
< % s
% u 1
# # # # # #
< 45 ) <
Š³
Problem
For his last four tests, Anthony obtained the following
scores. Tests 2 and 4 were given a weight of 0.5, and
tests 1 and 3 were given a weight of 1.
Test No. 1 2 3 4
Score 12 13 10 11
Coefficient 1 0.5 1 0.5
1. Find Anthony’s average grade (weighted
average).
30XPlusMV_OM.flpgl Page 47Friday, November 14, 2014 1:57 PM
48
2. What does the value of n given by the calculator
represent? What does the value of Gx given by
the calculator represent?
Reminder: The weighed average is
=
Σx
n
(12)(1)+ (13)(0.5)+(10) (1)+ (11)(0.5)
1 + 0.5 + 1 + 0.5
3. The teacher gave Anthony 4 more points on test
4 due to a grading error. Find Anthony’s new
average grade.
v v $ $ $
<
v " $ $ $ $
<
12 $ 13 $ 10 $ 11 $
" 1 $ .5 $ 1 $ .5 <
% u
2 (Selects 1-Var Stats)
$ " " <
<
Anthony has an average (v) of 11.33 (to the nearest
hundredth).
30XPlusMV_OM.flpgl Page 48Friday, November 14, 2014 1:57 PM
49
On the calculator, n represents the total sum of the
weights.
n = 1 + 0.5 + 1 + 0.5.
Gx represents the weighted sum of his scores.
(12)(1) + (13)(0.5) + (10)(1) + (11)(0.5) = 34.
Change Anthony’s last score from 11 to 15.
v $ $ $ 15 <
% u 2
$ " " < <
If the teacher adds 4 points to Test 4, Anthony’s
average grade is 12.
Š³
Problem
The table below gives the results of a braking test.
Test No.
1 2 3 4
Speed
(kph)
33 49 65 79
Braking
distance
(m)
5.30 14.45 20.21 38.45
Use the relationship between speed and braking
distance to estimate the braking distance required for a
vehicle traveling at 55kph.
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50
A hand-drawn scatter plot of these data points suggest
a linear relationship. The calculator uses the least
squares method to find the line of best fit, y'=ax'+b, for
data entered in lists.
v v $ $ $
<
33 $ 49 $ 65 $ 79 $ " 5.3
$ 14.45 $ 20.21 $ 38.45
<
% s
% u
3 (Selects 2-Var Stats)
$ $ $
<
Press $ as necessary to view
a andb.
This line of best fit, y'=0.67732519x'N18.66637321
models the linear trend of the data.
Press $ until y' is highlighted.
< 55 ) <
30XPlusMV_OM.flpgl Page 50Friday, November 14, 2014 1:57 PM
51
The linear model gives an estimated braking distance
of 18.59 meters for a vehicle traveling at 55 kph.
Regression example 1
Calculate an ax+b linear regression for the following
data: {1,2,3,4,5}; {5,8,11,14,17}.
Clear all
data
v v $ $ $
Data <
1 $ 2 $ 3 $ 4 $
5 $ "
5 $ 8 $ 11 $ 14 $
17 <
Regression % s
% u
$ $ $
<
$ $ $ $ <
Press $ to examine
all the result
variables.
Regression example 2
Calculate the exponential regression for the following
data:
L1 = {0, 1, 2, 3, 4}; L2 = {10, 14, 23, 35, 48}
Find the average value of the data in L2.
Compare the exponential regression values to L2.
30XPlusMV_OM.flpgl Page 51Friday, November 14, 2014 1:57 PM
52
Clear all
data
v v 4
Data 0 $ 1 $ 2 $ 3 $ 4
$
" 10 $ 14 $ 23 $
35 $ 48 <
Regression % u
#
Save the
regression
equation to
f(x) in the
I menu.
< $ $ $ "
<
Regression
Equation
<
Find the
average
value (y) of
the data in
L2 using
StatVars.
% u
1(Selects StatVars)
$ $ $
$ $ $
$ $ $ Notice that the
title bar reminds
you of your last
statistical or
regression
calculation.
Examine
the table of
values of
the
I 2
30XPlusMV_OM.flpgl Page 52Friday, November 14, 2014 1:57 PM
53
regression
equation.
<
0 <
1 <
< <
Warning: If you now calculate 2-Var Stats on your
data, the variables a and b (along with r and r
2
) will be
calculated as a linear regression. Do not recalculate 2-
Var Stats after any other regression calculation if you
want to preserve your regression coefficients (a, b, c,
d) and r values for your particular problem in the
StatVars menu.
Distribution example
Compute the binomial pdf distribution at x values
{3,6,9} with 20 trials and a success probability of 0.6.
Enter the x values in list L1, and store the results in L2.
Clear all
data
v v $ $ $
Data <
3 $ 6 $ 9 <
DISTR % u "
$ $ $
30XPlusMV_OM.flpgl Page 53Friday, November 14, 2014 1:57 PM
54
< "
<
20 $ 0.6
< $ $
<
Probability
H %
H is a multi-tap key that cycles through the following
options:
!
A factorial is the product of the positive
integers from 1 to
n
.
n
must be a positive
whole number {69.
nCr
Calculates the number of possible
combinations of
n
items taken
r
at a time,
given
n
and
r
. The order of objects is not
important, as in a hand of cards.
nPr
Calculates the number of possible
permutations of
n
items taken
r
at a time,
given
n
and
r
. The order of objects is
important, as in a race.
% displays a menu with the following options:
rand
Generates a random real number
30XPlusMV_OM.flpgl Page 54Friday, November 14, 2014 1:57 PM
55
between 0 and 1. To control a sequence
of random numbers, store an integer
(seed value) | 0 to rand. The seed value
changes randomly every time a random
number is generated.
randint(
Generates a random integer between 2
integers,
A
and
B
, where
A
{ randint {
B
.
Separate the 2 integers with a comma.
Examples
! 4 H <
nCr 52 H H 5
<
nPr 8 H H H 3
<
STO ´
rand
5 L %
1(Selects rand)
<
Rand % 1 <
Randint( % 2
3 % ` 5 ) <
30XPlusMV_OM.flpgl Page 55Friday, November 14, 2014 1:57 PM
56
Š ³
Problem
An ice cream store advertises that it makes 25 flavors
of home made ice cream. You like to order three
different flavors in a dish. How many combinations of
ice cream can you test over a very hot summer?
-
25 H H 3 <
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!
Function table
I displays a menu with the following options:
1: f(
Pastes the existing f(x) to an input
area such as the Home screen to
evaluate the function at a point (for
example, f(2)).
2: Edit
function
Lets you define the function f(x) and
generates a table of values.
The function table allows you to display a defined
function in a tabular form. To set up a function table:
1. Press I and select Edit function.
2. Enter a function and press <.
3. Select the table start, table step, auto, or ask-x
options and press <.
The table is displayed using the specified values.
30XPlusMV_OM.flpgl Page 56Friday, November 14, 2014 1:57 PM
57
Start Specifies the starting value for the
independent variable, x.
Step Specifies the incremental value for the
independent variable, x. The step can
be positive or negative.
Auto The calculator automatically generates
a series of values based on table start
and table step.
Ask-x
Lets you build a table manually by
entering specific values for the
independent variable, x.
Š³
Problem
Find the vertex of the parabola, y = x(36 - x) using a
table of values.
Reminder: The vertex of the parabola is the point on
the parabola that is also on the line of symmetry.
I 2 -
z ( 36 U z )
<
15 $ 3 $ $
<
30XPlusMV_OM.flpgl Page 57Friday, November 14, 2014 1:57 PM
58
After searching close to x = 18, the point (18, 324)
appears to be the vertex of the parabola since it
appears to be the turning point of the set of points of
this function. To search closer to x=18, change the
Step value to smaller and smaller values to see points
closer to (18,324).
Š³
Problem
A charity collected $3,600 to help support a local food
kitchen. $450 will be given to the food kitchen every
month until the funds run out. How many months will
the charity support the kitchen?
Reminder: If x = months and y = money left, then
y=3600N450x.
I 2
-
3600 U 450 z
< 0 $ 1 $ " < $ <
Input each guess and press
< .
Calculate the value of f(8) on
the Home screen.
% s I
1Selects f(
8 ) <
30XPlusMV_OM.flpgl Page 58Friday, November 14, 2014 1:57 PM
59
The support of $450 per month will last for 8 months
since y(8) = 3600 - 450(8) = 0 as shown in the table of
values.
Number bases
%
Base conversion
% displays the CONVR menu, which converts
a real number to the equivalent in a specified base.
1: ´Hex Converts to hexadecimal (base 16).
2: ´Bin Converts to binary (base 2).
3: ´Dec Converts to decimal (base 10).
4: ´Oct Converts to octal (base 8).
Base type
% " displays the TYPE menu, which lets you
designate the base of a number regardless of the
calculators current number-base mode.
1: h Designates a hexadecimal integer.
2: b Specifies a binary integer.
3: d Specifies a decimal number.
4: o Specifies an octal integer.
Examples in DEC mode
Note: Mode can be set to DEC, BIN, OCT, or HEX.
See the Mode section.
30XPlusMV_OM.flpgl Page 59Friday, November 14, 2014 1:57 PM
60
d´Hex -
127 % 1 <
h´Bin -
% ¬ % ¬
% " 1
% 2 <
b´Oct -
10000000 % "
2
% 4 <
o´Dec # <
Boolean logic
% ! displays the LOGIC menu, which lets
you perform boolean logic.
1: and Bitwise AND of two integers
2: or Bitwise OR of two integers
3: xor Bitwise XOR of two integers
4: xnor Bitwise XNOR of two integers
5: not( Logical NOT of a number
6: 2’s( 2’s complement of a number
7: nand Bitwise NAND of two integers
Examples
30XPlusMV_OM.flpgl Page 60Friday, November 14, 2014 1:57 PM
61
BIN
mode:
and, or
q $ $ $ $
" " <
1111 % ! 1
1010 <
1111 % ! 2
1010 <
BIN
mode:
xor, xnor
11111 % ! 3
10101 <
11111 % ! 4
10101 <
HEX
mode:
not, 2’s
q $ $ $ $
" <
% ! 6
% ¬ % ¬ )
<
% ! 5
% i <
DEC
mode:
nand
q $ $ $ $ <
192 % ! 7
48 <
Expression evaluation
%
Press % ..to input and calculate an expression
using numbers, functions, and variables/parameters.
Pressing % ..from a populated home screen
expression pastes the content to Expr=. If the user is in
an input or output history line when % ..is
pressed, the home screen expression pastes to Expr=.
Example
30XPlusMV_OM.flpgl Page 61Friday, November 14, 2014 1:57 PM
62
%
2 z T z z z
< 2
< 5
<
%
< 4 < 6 <
Constants
%
Constants lets you access scientific constants to paste
in various areas of the TI-30XPlus MultiView™
calculator. Press % ..to access, and ! or " to
select either the NAMES or UNITS menus of the same
20 physical constants.Use # and $ to scroll through
the list of constants in the two menus. The NAMES
menu displays an abbreviated name next to the
30XPlusMV_OM.flpgl Page 62Friday, November 14, 2014 1:57 PM
63
character of the constant. The UNITS menu has the
same constants as NAMES but the units of the
constant show in the menu.
Note: Displayed constant values are rounded. The
values used for calculations are given in the following
table.
Constant
Value used for
calculations
c
speed of light 299792458 meters per
second
g
gravitational
acceleration
9.80665 meters per
second
2
h
Planck’s
constant
6.62606896×10
M
34
Joule
seconds
NA
Avogadro’s
number
6.02214179×10
23
molecules per mole
R
ideal gas
constant
8.314472 Joules per mole
per Kelvin
m
e
electron mass 9.109381215×10
M
31
kilograms
m
p
proton mass 1.672621637×10
M
27
kilograms
m
n
neutron mass 1.674927211×10
M
27
kilograms
m
µ
muon mass 1.88353130×10
M
28
kilograms
30XPlusMV_OM.flpgl Page 63Friday, November 14, 2014 1:57 PM
64
Constant
Value used for
calculations
G
universal
gravitation
6.67428×10
M
11
meters
3
per
kilogram per seconds
2
F
Faraday
constant
96485.3399 Coulombs per
mole
a
0
Bohr radius 5.2917720859×10
M
11
meters
r
e
classical
electron radius
2.8179402894×10
M
15
meters
k
Boltzmann
constant
1.3806504×10
M
23
Joules
per Kelvin
e
electron charge 1.602176487×10
M
19
Coulombs
u
atomic mass
unit
1.660538782×10
M
27
kilograms
atm
standard
atmosphere
101325 Pascals
H0
permittivity of
vacuum
8.854187817620×10
M
12
Farads per meter
m0
permeability of
vacuum
1.256637061436×10
M
6
Newtons per ampere
2
Cc
Coulombs
constant
8.987551787368×10
9
meters per Farad
30XPlusMV_OM.flpgl Page 64Friday, November 14, 2014 1:57 PM
65
Conversions
The CONVERSIONS menu permits you to perform a
total of 20 conversions (or 40 if converting both ways).
To access the CONVERSIONS menu, press %
. Press one of the numbers (1-5) to select, or
press # and $ to scrollthrough and select one of the
CONVERSIONS sub-menus. The sub-menus include
the categories English-Metric, Temperature, Speed
and Length, Pressure, and Power and Energy.
English ³´ Metric conversion
Conversion
in 4 cm
inches to centimeters
cm 4 in
centimeters to inches
ft 4 m
feet to meters
m 4 ft
meters to feet
yd 4 m
yards to meters
m 4 yd
meters to yards
mile 4 km
miles to kilometers
km 4 mile
kilometers to miles
acre 4 m
2
acres to square meters
m
2
4 acre
square meters to acres
gal US 4 L
US gallons to liters
L 4 gal US
liters to US gallons
30XPlusMV_OM.flpgl Page 65Friday, November 14, 2014 1:57 PM
66
gal UK 4
ltr
UK gallons to liters
ltr 4 gal
UK
liters to UK gallons
oz 4 gm
ounces to grams
gm 4 oz
grams to ounces
lb 4 kg
pounds to kilograms
kg 4 lb
kilograms to pounds
Temperature conversion
Conversion
°F 4 °C
Fahrenheit to Celsius
° C 4 °F
Celsius to Fahrenheit
° C 4 °K
C Celsius to Kelvin
° K 4 °C
Kelvin to Celsius
Speed and length conversion
Conversion
km/hr 4 m/s
kilometers/hour to
meters/second
m/s 4 km/hr
meters/second to
kilometers/hour
LtYr 4 m
light years per meter
m 4 LtYr
meters to light years
pc 4 m
parsecs to meters
m 4 pc
meters to parsecs
30XPlusMV_OM.flpgl Page 66Friday, November 14, 2014 1:57 PM
67
Ang 4 m
Angstrom to meters
m 4 Ang
meters to Angstrom
Power and energy conversion
Conversion
J 4 kkWh
joules to kilowatt hours
kWh 4 kJ
kilowatt hours to Joules
J 4 kcal
calories to Joules
cal 4 kJ
Joules to calories
hp 4 kkWh
horsepower to kilowatt hours
kWh 4 hp
kilowatt hours to horsepower
Pressure conversion
Conversion
atm 4 kPa
atmospheres to Pascals
Pa 4 atm
Pascals to atmospheres
mmHg 4 kPa
millimeters of mercury to Pascals
Pa 4 mmHg
Pascals to millimeters of mercury
Examples
Temperatur
e
( M 2 2 ) %
2
< <
Enclose negative
numbers/expression
s in parentheses.)
30XPlusMV_OM.flpgl Page 67Friday, November 14, 2014 1:57 PM
68
Speed,
Length
-
( 60 ) %
$ $ <
< <
Power,
Energy
-
( 200 ) %
$ $ $ $
< "
< <
Complex numbers
%
The calculator performs the following complex number
calculations:
Addition, subtraction, multiplication, and division
Argument and absolute value calculations
Reciprocal, square, and cube calculations
Complex Conjugate number calculations
Setting the complex format:
Set the calculator to DEC mode when computing with
complex numbers.
q $ $ $ Selects the REAL menu. Use ! and "
to scrollwith in the REAL menu to highlight the desired
complex results format a+bi, or r±q, and press <.
REAL a+bi, or r±q set the format of complex number
results.
30XPlusMV_OM.flpgl Page 68Friday, November 14, 2014 1:57 PM
69
a+bi rectangular complex results
r±q polar complex results
Notes:
Complex results are not displayed unless
complex numbers are entered.
To access
i
on the keypad, use the multi-tap key
g.
Variables
x
,
y
,
z
,
t
,
a
,
b
,
c
, and
d
are real or
complex.
Complex numbers can be stored.
Complex numbers are not allowed in data and
some other input areas.
For conj(, real(, and imag(, the argument can be
in either rectangular or polar form. The output for
conj(is determined by the mode setting.
The output for real(and imag(are real numbers.
Set mode to DEG or RAD depending on the
angle measure needed.
Complex menu Description
1: ± ± (polar angle character)
Lets you paste the polar
representation of a complex
number
(such as 5±p).
2 :polar angle angle(
Returns the polar angle of a
complex number.
3: magnitude abs( (or |þ| in MathPrint™
mode)
30XPlusMV_OM.flpgl Page 69Friday, November 14, 2014 1:57 PM
70
Complex menu Description
Returns the magnitude
(modulus) of a complex
number.
4: 4 r ±p Displays a complex result in
polar form. Valid only at the
end of an expression. Not valid
if the result is real.
5: 4 a+bi Displays a complex result in
rectangular form. Valid only at
the end of an expression. Not
valid if the result is real.
6: conjugate
conj(
Returns the conjugate of a
complex number.
7: real real(
Returns the real part of a
complex number.
8: imaginary
imag(
Returns the imaginary
(nonreal) part of a complex
number.
Examples (set mode to RAD)
Polar angle
character:
±
- 5 %
< g P 2 <
Polar
angle:
angle(
- % $
< 3 T 4
g g g ) <
30XPlusMV_OM.flpgl Page 70Friday, November 14, 2014 1:57 PM
71
Magnitude:
abs(
- % 3
( 3 T 4 g g g
)
<
4 r±q
-
3 T 4 g g g
% 4
<
4 a+bi
-
5 % <
3 g P 2 "
% 5
<
Conjugate:
conj(
-
% 6
5 U 6 g g g )
<
Real:
real(
-
% 7
5 U 6 g g g )
<
30XPlusMV_OM.flpgl Page 71Friday, November 14, 2014 1:57 PM
72
Errors
When the calculator detects an error, it returns an
error message with the type of error. The following list
includes some of the errors that you may encounter.
To correct the error, note the error type and determine
the cause of the error. If you cannot recognize the
error, refer to the following list.
Press - to clear the error message. The previous
screen is displayed with the cursor at or near the error
location. Correct the expression.
The following list includes some of the errors that you
may encounter.
0<area<1 This error is returned when you input an
invalid value for area
invNormal
.
ARGUMENT This error is returned if:
a function does not have the correct number of
arguments.
the lower limit is greater than the upper limit.
either index value is complex.
BREAK You pressed the & key to stop evaluation of
an expression.
CHANGE MODE to DEC Base n mode: This error is
displayed if the mode is not DEC and you press ,
I or .
COMPLEX If you use a complex number incorrectly
in an operation or in memory you will get the
COMPLEX error.
DATA TYPE You entered a value or variable that is
the wrong data type.
30XPlusMV_OM.flpgl Page 72Friday, November 14, 2014 1:57 PM
73
For a function (including implied multiplication) or
an instruction, you entered an argument that is an
invalid data type, such as a complex number
where a real number is required.
You attempted to store an incorrect data type, to
a list.
Input to the complex conversions is real.
You attempted to execute a complex number in
an area that is not allowed.
DIM MISMATCH You get this error if
you attempt to store a data type with a dimension
not allowed in the storing data type.
DIVIDE BY 0 This error is returned when:
you attempt to divide by 0.
in statistics,
n
= 1.
DOMAIN You specified an argument to a function
outside the valid range. For example:
For
x
áy:
x
= 0 or
y
< 0 and
x
is not an odd integer.
For
y
x
:
y
and
x
= 0;
y
< 0 and
x
is not an integer.
For áx:
x
< 0.
For LOG or LN:
x
{ 0.
For TAN:
x
= 90°, -90°, 270°, -270°, 450°, etc., and
equivalent for radian mode.
For SIN
-1
or COS
-1
: |
x
| > 1.
For nCr or nPr:
n
or
r
are not integers | 0.
For
x
!:
x
is not an integer between 0 and 69.
30XPlusMV_OM.flpgl Page 73Friday, November 14, 2014 1:57 PM
74
EQUATION LENGTH ERROR An entry exceeds the
digit limits (80 for stat entries or 47 for constant
entries); for example, combining an entry with a
constant that exceeds the limit.
Exponent must be Integer This error is returned if
the exponent is not an integer.
FORMULA The formula does not contain a list name
(L1, L2, or L3), or the formula for a list contains its own
list name. For example, a formula for L1 contains L1.
FRQ DOMAIN FRQ value (in 1-Var and 2-Var stats)
< 0.
Input must be Real —This error is displayed if a
variable pre-populates with a non-real number where
a real number is required and you move the cursor just
past that line. The cursor is returned to the incorrect
line and you must change the input.
Input must be non-negative integer This error is
displayed when an invalid value is input for x and n in
the DISTR menus.
INVALID EQUATION This error is returned when:
The calculation contains too many pending
operations (more than 23). If using the Stored
operation feature (op), you attempted to enter
more than four levels of nested functions using
fractions, square roots, exponents with ^,
y
x
,
e
x
, and 10
x
.
You press < on a blank equation or an
equation with only numbers.
Invalid Data Type In an editor, you entered a type
that is not allowed, such as a complex number or as an
element in the stat list editor.
30XPlusMV_OM.flpgl Page 74Friday, November 14, 2014 1:57 PM
75
INVALID FUNCTION An invalid function is entered in
the function definition in Function table.
Mean mu>0 An invalid value is input for the mean
(mean=mu) in
poissonpdf
or
poissoncdf
.
Number of trials 0<n<41 Number of trials is limited
to 0<n<41 for
binomialpdf
and
binomialcdf
.
OP NOT DEFINED The Operation m is not defined.
OVERFLOW You attempted to enter, or you
calculated a number that is beyond the range of the
calculator.
Probability 0<p<1 You input an invalid value for a
probability in DISTR.
sigma>0 sigma Real This error is returned when an
invalid value is input for sigma in the DISTR menus.
SINGULAR MAT This error is displayed when:
The SinReg instruction or a polynomial
regression generated a singular matrix
(determinant=0) because it could not find a
solution, or a solution does not exist.
STAT You attempted to calculate 1-var or 2-var stats
with no defined data points, or attempted to calculate
2-var stats when the data lists are not of equal length.
SYNTAX The command contains a syntax error:
entering more than 23 pending operations or 8
pending values; or having misplaced functions,
arguments, parentheses, or commas. If using P try
using W and the appropriate parentheses.
TOL NOT MET You requested a tolerance to which
the algorithm cannot return an accurate result.
30XPlusMV_OM.flpgl Page 75Friday, November 14, 2014 1:57 PM
76
TOO COMPLEX If you use too many levels of
MathPrint™ complexity in a calculation, the TOO
COMPLEX error is displayed (this error is not referring
to complex numbers).
LOW BATTERY Replace the battery.
Note: This message displays briefly and then
disappears. Pressing - does not clear this
message.
30XPlusMV_OM.flpgl Page 76Friday, November 14, 2014 1:57 PM
77
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 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.
How to remove or replace the battery
The TI-30XPlus MultiView calculator uses one 3 volt
CR2032 lithium battery.
Remove the protective cover and turn the calculator
face downwards.
30XPlusMV_OM.flpgl Page 77Friday, November 14, 2014 1:57 PM
78
With a small screwdriver, remove the screws
from the back of the case.
From the bottom, carefully separate the front
from the back. Be careful not to damage any of
the internal parts.
With a small screwdriver (if required), remove the
battery.
To replace the battery, check the polarity (+ and
-) and slide in a new battery. Press firmly to snap
the new battery into place.
Important: When replacing the battery, avoid any
contact with the other components of the
calculator.
Dispose of the dead battery immediately and in
accordance with 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
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.
30XPlusMV_OM.flpgl Page 78Friday, November 14, 2014 1:57 PM
79
Support and Service
Texas Instruments Support and Service
For general information
Home Page: education.ti.com
KnowledgeBase
and e-mail
inquiries:
education.ti.com/support
Phone: (800) TI-CARES / (800) 842-
2737
For U.S., Canada, Mexico,
Puerto Rico, and Virgin
Islands only
International
information:
education.ti.com/international
For technical support
KnowledgeBase
and support by
e-mail:
education.ti.com/support
Phone
(not toll-free):
(972) 917-8324
For product (hardware) service
Customers in the U.S., Canada, Mexico, Puerto Rico
and Virgin Islands: Always contact Texas Instruments
Customer Support before returning a product for
service.
30XPlusMV_OM.flpgl Page 79Friday, November 14, 2014 1:57 PM
80
All other customers: Refer to the leaflet enclosed with
this product (hardware) or contact your local Texas
Instruments retailer/distributor.
30XPlusMV_OM.flpgl Page 80Friday, November 14, 2014 1:57 PM
1

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