Casio fx-82MS User manual

1. Important Information
• The displays and illustrations (such as key markings) shown in
this User’s Guide are for illustrative purposes only, and may differ
somewhat from the actual items they represent.
• The contents of this manual are subject to change without notice.
• In no event shall CASIO Computer Co., Ltd. be liable to anyone
for special, collateral, incidental, or consequential damages in
connection with or arising out of the purchase or use of this product
and items that come with it. Moreover, CASIO Computer Co., Ltd.
shall not be liable for any claim of any kind whatsoever by any other
party arising out of the use of this product and the items that come
with it.
• Be sure to keep all user documentation handy for future reference.
2. Sample Operations
Sample operations in this manual are indicated by a icon. Unless
specifically stated, all sample operations assume that the calculator
is in its initial default setup.
3. Initializing the Calculator
Perform the following procedure when you want to initialize the
calculator and return the calculation mode and setup to their initial
default settings. Note that this operation also clears all data currently
in calculator memory.
fx-82MS/85MS/300MS/350MS: p!,(CLR)3(All)=
fx-82SX PLUS/220 PLUS: pr3(All)=
4. Safety Precautions
• Keep batteries out of the reach of small children.
• Use only the type of battery specified for this calculator in this
manual.
5. Handling Precautions
• Dim figures on the display of the calculator indicate that battery
power is low. Continued use of the calculator when the battery
is low can result in improper operation. Replace the battery
as soon as possible when display figures becomes dim. Even
if the calculator is operating normally, replace the battery at
least once every two years (fx-82MS/82SX PLUS/220 PLUS), or
three years (fx-85MS/300MS/350MS). A dead battery can leak,
causing damage to and malfunction of the calculator. Never
leave a dead battery in the calculator.
• The battery that comes with the calculator discharges slightly
during shipment and storage. Because of this, it may require
replacement sooner than the normal expected battery life.
• Do not use an oxyride battery* or any other type of nickel-based
primary battery with this product. Incompatibility between
such batteries and product specifications can result in shorter
battery life and product malfunction.
• Avoid use and storage of the calculator in areas subjected
to temperature extremes, and large amounts of humidity and
dust.
• Do not subject the calculator to excessive impact, pressure,
or bending.
• Never try to take the calculator apart.
• Use a soft, dry cloth to clean the exterior of the calculator.
Battery
Battery
RJA530690-001V01 SA1303-B Printed in Thailand
f
x-82MS
f
x-82SX PLUS
f
x-85MS
f
x-220 PLUS
f
x-300MS
f
x-350MS
User’s Guide
CASIO Worldwide Education Website
http://edu.casio.com
E • Whenever discarding the calculator or batteries, be sure to
do so in accordance with the laws and regulations in your
particular area.
* Company and product names used in this manual may be registered
trademarks or trademarks of their respective owners.
6. Removing the Hard Case
Before using the calculator, slide
its hard case downwards to
remove it, and then affix the hard
case to the back of the calculator
as shown in the illustration
nearby.
7. Turning Power On and Off
Press Oto turn on the calculator.
Press 1A(OFF) to turn off the calculator.
Auto Power Off
Your calculator will turn off automatically if you do not perform any
operation for about 10 minutes.
8. Adjusting Display Contrast
1. Press the ,key a number of times until
you reach the setup screen shown to the
right.
2. Press c.
3. Use dand eto adjust contrast.
4. After the setting is the way you want, press A.
Important: If adjusting display contrast does not improve display
readability, it probably means that battery power is low. Replace
the battery.
9. Reading the Display
The display of the calculator shows expressions you input, calculation
results, and various indicators.
Input expression
Calculation result
Indicators
10. Specifying the Calculation Mode
When you want to perform this type of
operation:
Perform this key
operation:
General calculations N1(COMP)
Standard deviation N2(SD)
Regression calculations (fx-82MS/85MS/
300MS/350MS only) N3(REG)
Note: Mode indicators appear in the upper part of the display. Be sure
to check the current calculation mode (COMP, SD, REG) and angle
unit setting (Deg, Rad, Gra) before beginning a calculation.
11. Configuring the Calculator Setup
Pressing the ,key more than once displays additional setup
screens. Underlined ( ___ ) settings are initial defaults.
1Deg 2Rad 3Gra Specifies degrees,
radians or grads as the angle unit for value
input and calculation result display.
Note: In this manual, the vsymbol next to a sample operation
indicates degrees.
1Fix 2Sci 3Norm Specifies the
number of digits for display of a calculation
result.
Fix: The value you specify (from 0 to 9) controls the number of decimal
places for displayed calculation results. Calculation results are
rounded off to the specified digit before being displayed.
Example: 100 ÷ 7 = 14.286 (Fix 3)
Sci: The value you specify (from 1 to 10) controls the number of
significant digits for displayed calculation results. Calculation results
are rounded off to the specified digit before being displayed.
Example: 1 ÷ 7 = 1.4286 × 10
–1
(Sci 5)
Norm: Selecting one of the two available settings (Norm 1, Norm
2) determines the range in which results will be displayed in non-
exponential format. Outside the specified range, results are displayed
using exponential format.
Norm 1: 10
–2
 |x|, |x|  10
10
Norm 2: 10
–9
 |x|, |x|  10
10
Example: 1 ÷ 200 = 5 × 10
–3
(Norm 1); 0.005 (Norm 2)
be
d
1ab/c 2d/c Specifies either mixed fraction (ab/c) or improper
fraction (d/c) for display of fractions in calculation results.
1Dot 2Comma Specifies whether to display a dot or a
comma for the calculation result decimal point. A dot is always
displayed during input.
Initializing Calculator Settings
Perform the following procedure to initialize the calculator, which
returns the calculation mode to COMP and returns all other settings,
including setup menu settings, to their initial defaults.
fx-82MS/85MS/300MS/350MS: p1,(CLR)c(Mode)=
fx-82SX PLUS/220 PLUS: prc(Mode)=
12. Inputting Expressions and Values
4 × sin30 × (30 + 10 × 3) = 120 v
4 *s30 *( 30 +10 *3 )=
Note: • The memory area used for calculation input can hold 79
“steps”. One step is taken up each time you press a number key
or arithmetic operator key (+, -, *, /). A !or a(fx-
82MS/85MS/300MS/350MS only) key operation does not take up a
step, so inputting !W(
3
'), for example, takes up only one step.
• Whenever you input the 73rd step of any calculation, the cursor
changes from “_” to “k” to let you know memory is running low.
Calculation Priority Sequence
When the priority of two expressions is the same, the calculation is
performed from left to right.
1st Function with parentheses: Pol(
x, y), Rec(r, θ),
RanInt#(
a, b)* (*fx-82SX PLUS/220 PLUS only)
2nd
Type A functions: With these functions, the value is
entered and then the function key is pressed. (
x3 , x2 , x−1 ,
x!, ° ’ ”, m, m1 , m2 , n, °,
r
,
g
)
3rd Powers and roots: ^(xy
),
x'
4th Fractions
5th Implied multiplication of π,
e (natural logarithm base),
memory name, or variable name: 2π, 3
e, 5A, πA, etc.
6th
Type B functions: With these functions, the function key is
pressed and then the value is entered. (',
3
', log, ln,
ex , 10
x
, sin, cos, tan, sin
−1
, cos
−1
, tan
−1
, sinh, cosh, tanh,
sinh
−1
, cosh
−1
, tanh
−1
, (−))
7th Implied multiplication of Type B functions: 2'3, Alog2, etc.
8th Permutation (nPr), combination (nCr)
9th Multiplication, division (×, ÷)
10th Addition, subtraction (+, –)
• The negative sign (–) is treated as a Type B function, so particular
care is required when the calculation includes a high-priority Type
A function, or power or root operations.
Example: (–2)4= 16; –24= –16
Correcting and Clearing an Expression
To delete a single character or function:
1234_ → ddD→ 124
To insert a character or function into a calculation:
123_ → d!D(INS)e→ 1243
• The cursor changes from “_” to “t”.
To clear all of the calculation you are inputting: Press A.
13. Basic Calculations
Fraction Calculations
2 +1 = 1
3 2 6
1
2 $3 +1 $2 =1{1{6.
Note: • Mixing fractions and decimal values in a calculation will cause
the result to be displayed as a decimal value. • Fractions in calculation
results are displayed after being reduced to their lowest terms.
To switch a calculation result between improper fraction and
mixed fraction format: Press 1$(d/c).
To switch a calculation result between fraction and decimal
format: Press $.
Percent Calculations
150 × 20% = 30 150 *20 1=(%) 30.
Calculate what percentage of 880 is 660. (75%)
660 /880 1=(%)
75.
Increase 2500 by 15%. (2875)
2500 *15 1=(%)+2875.
Discount 3500 by 25%. (2625)
3500 *25 1=(%)-2625.
Discount the sum of 168, 98, and 734 by 20%. (800)
168 +98 +734 =G1~(STO)-(A)
a-(A)**20 1=(%)-800.
* As shown here, if you want to use the current Ans (answer) memory
value in a mark up or discount calculation, you need to assign the
Ans memory value into a variable and then use the variable in the
mark up/discount calculation.
If 300 grams are added to a test sample originally weighing
500 grams, what is the percentage increase in weight?
(160%)
300+500!=(%) 160.
k
k
k
k
k
What is the percentage change when a value is increased
from 40 to 46? (15%)
46-40!=(%)
15.
Degree, Minute, Second (Sexagesimal)
Calculations
The following is the input format for a sexagesimal value: {degrees}
${minutes} ${seconds} $.
Note: You must always input something for the degrees and minutes,
even if they are zero.
2°20´30˝ + 39´30˝ = 3°00´00˝
2 $20 $30 $+0 $39 $30 $=
3°0°0.
Convert 2°15´18˝ to its decimal equivalent.
2 $15 $18 $=$2.255
(Converts decimal to sexagesimal.) !$(←) 2°15°18.
Multi-Statements (fx-82MS/85MS/300MS/350MS only)
You can use the colon character (:) to connect two or more
expressions and execute them in sequence from left to right when
you press =.
3 + 3 : 3 × 3 3 +3 Sr(:) 3 *3 =6.Disp
=9.
Using Engineering Notation
A simple key operation transforms a displayed value to engineering
notation.
Transform the value 1234 to engineering notation, shifting the
decimal point to the right.
1234 =W
1.234×103
W1234.×100
Calculation History (Not included on the fx-82SX PLUS)
In the COMP Mode, the calculator remembers up to approximately
150 bytes of data for the newest calculation. You can scroll through
calculation history contents using fand c.
1 + 1 = 2 2 + 2 = 4 3 + 3 = 6
1 +1 =2 +2 =3 +3 =6.
(Scrolls back.) f4.
(Scrolls back again.) f2.
Note: Calculation history data is all cleared whenever you press O,
when you change to a different calculation mode, or whenever you
initialize modes and settings.
Replay (Not included on the fx-82SX PLUS)
While a calculation result is on the display, you can press dor e
to edit the expression you used for the previous calculation.
4 × 3 + 2.5 = 14.5 4 *3 +2.5 =14.5
4 × 3 − 7.1 = 4.9
(Continuing) dYYYY-7.1 =4.9
Answer Memory (Ans)
The last calculation result obtained is stored in Ans (answer) memory.
Ans memory contents are updated whenever a new calculation
result is displayed.
To divide the result of 3 ×4 by 30
3 *4 =/ 30 =
123 + 456 = 579 123 +456 =579.
789 – 579 = 210 (Continuing) 789 -G=210.
Variables (A, B, C, D, E, F, X, Y)
(fx-82MS/85MS/300MS/350MS only)
Your calculator has eight preset variables named A, B, C, D, E, F,
X, and Y.
To assign the result of 3 + 5 to variable A
3 +5 1t(STO)y(A)
8.
To multiply the contents of variable A by 10
(Continuing) Sy(A)*10 =
80.
To recall the contents of variable A
(Continuing) ty(A)
8.
To clear the contents of variable A
0 1t(STO)y(A) 0.
Independent Memory (M)
You can add calculation results to or subtract results from independent
memory. The “M” appears on the display when there is any value
other than zero stored in independent memory.
k
k
k
k
k
k
k
k
To clear the contents of M
fx-82MS/85MS/300MS/350MS:
0 1t(STO)l(M)
0.
fx-82SX PLUS/220 PLUS: 0 1n(Min) 0.
To add the result of 10 × 5 to M
(Continuing) 10 *5 l
50.
To subtract the result of 10 + 5 from M
(Continuing) 10 +5 1l(M–) 15.
To recall the contents of M
fx-82MS/85MS/300MS/350MS:
(Continuing) tl(M)
35.
fx-82SX PLUS/220 PLUS: (Continuing) n35.
Note: Variable M is used for independent memory.
Clearing the Contents of All Memories
Independent memory and variable contents are retained even if you
press A, change the calculation mode, or turn off the calculator.
Perform the following procedure when you want to clear the contents
of all memories.
fx-82MS/85MS/300MS/350MS: p!,(CLR)1(Mcl)=
fx-82SX PLUS/220 PLUS: pr1(Mcl)=
14. Function Calculations
ππ
: π is displayed as 3.141592654, but π = 3.14159265358980 is
used for internal calculations.
e (fx-82MS/85MS/300MS/350MS only): e is displayed as
2.718281828, but
e = 2.71828182845904 is used for internal
calculations.
sin, cos, tan, sin
−1
, cos
−1
, tan
−1
: Trigonometric functions. Specify
the angle unit before performing calculations. See
1
.
sinh, cosh, tanh, sinh
−1
, cosh
−1
, tanh
−1
: Hyperbolic functions. The
angle unit setting does not affect calculations. See
2
.
°,
r
,
g
: These functions specify the angle unit. ° specifies degrees,
r
radians, and
g
grads. Input a function from the menu that appears
when you perform the following key operation: 1G(DRG').
See
3
.
10
x
, ex : Exponential functions. See
4
.
log
: Logarithmic function. See
5
.
ln
: Natural logarithm to base e. See
6
.
x2 , x3 , ^(xy),
'
'
,
3
'
'
,
x
'
'
, x−1 : Powers, power roots, and
reciprocals. See
7
.
Pol, Rec :Pol converts rectangular coordinates to polar coordinates,
while Rec converts polar coordinates to rectangular coordinates.
See
8
.
Pol(x, y) = (r, θ) Rec(r, θ) = (x, y) Specify the angle unit
before performing
calculations.
Calculation result
θ is
displayed in the range
of −180° 
θ 180°.
Rec Pol
x!:Factorial function. See
9
.
Ran# : Generates a 3-digit pseudo random number that is less than
1. See
10
.
RanInt# (fx-82SX PLUS/220 PLUS only): For input of the function
of the form RanInt#(
a, b), which generates a random integer within
the range of
a to b. See
11
.
n Pr, nCr: Permutation (nPr) and combination (nCr) functions. See
12
.
Rnd : The argument of this function is made a decimal value and
then rounded in accordance with the current number of display digits
setting (Norm, Fix, or Sci). With Norm 1 or Norm 2, the argument is
rounded off to 10 digits. See
13
.
Note: Using functions can slow down a calculation, which may delay
display of the result. To interrupt an ongoing calculation before its
result appears, press A.
Examples
sin 30°= 0.5 vs30 =0.5
sin
−1
0.5 = 30° v1s(sin
−1
) 0.5 =30.
sinh 1 = 1.175201194 ws(sinh) 1 =1.175201194
cosh
–1
1 = 0 w1c(cosh
−1
) 1 =0.
π /2 radians = 90°, 50 grads = 45° v
(1E(π)/2 )1G(DRG')c(R)=90.
50 1G(DRG')d(G)=45.
To calculate e5 × 2 to three significant digits (Sci 3)
N2(Sci)31i(ex ) 5 *2 =2.97×10
2
log 1000 = 3 l1000 =3.
k
k
11
22
33
44
55
LY700-4E140421.indd1LY700-4E140421.indd1 14.4.212:56:15PM14.4.212:56:15PM

Manufacturer:
CASIO COMPUTER CO., LTD.
6-2, Hon-machi 1-chome
Shibuya-ku, Tokyo 151-8543, Japan
Responsible within the European Union:
CASIO EUROPE GmbH
Casio-Platz 1
22848 Norderstedt, Germany
This mark applies in EU countries only.
To calculate ln 90 (= loge90) to three significant digits (Sci 3)
N2(Sci)3i90 =4.50×10
0
1.2 × 10
3
= 1200 1.2 *10 M3 =1200.
(5
2
)
3
= 15625 (5 x)W=15625.
32
5
= 2 51M(
x') 32 =2.
To calculate
'
2 × 3
(= 3
'
2
= 4.242640687...) to three
decimal places (Fix 3)
N1(Fix)312 *3 =4.243
To convert rectangular coordinates (
'
2
,
'
2
) to polar
coordinates v
fx-82MS/85MS/300MS/350MS:
r92 ,92 )=
r= 2.
~t(F) θ= 45.
• Press ~c(E) to display the value of r, or ~t(F) to
display the value of θ.
fx-82SX PLUS/220 PLUS:
r92 ((,)92 )=r= 2.
!q(y,θ)=θ= 45.
• Press !r(x,r)=to display the value of r, or
!q(
y,θ)=to display the value of θ.
To convert polar coordinates (
'
2
, 45°) to rectangular
coordinates v
fx-82MS/85MS/300MS/350MS:
!r(Rec( )92 ,45 =
x= 1.
~t(F) y= 1.
• Press ~c(E) to display the value of x, or ~t(F) to
display the value of
y.
fx-82SX PLUS/220 PLUS: q92 ((,) 45 =x= 1.
!q(y, θ)=y= 1.
• Press !r(x,r)=to display the value of x, or
!q(
y,θ)=to display the value of y.
(5 + 3) ! = 40320 (5 +3 )1E(x!)=40320.
To obtain a random three-digit integer
1000 1.(Ran#)=459.
(Actual results will differ.)
To generate a random integer in the range of 1 to 6
(fx-82SX PLUS/220 PLUS only)
12(RanInt) 1 1((,) 6 )= 2.
(Actual results will differ.)
To determine the number of permutations and combinations
possible when selecting four people from a group of 10
Permutations: 101{(nPr) 4 =5040.
Combinations: 10 {4 =210.
To perform the following calculations when Fix 3 is selected
for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3)
× 3
N1(Fix)310 /3 *3 =10.000
10 /3 =10(Rnd)*3 =9.999
15. Statistical Calculations (SD, REG*)
*fx-82MS/85MS/300MS/350MS only
To select this type of statistical
calculation: (Regression formula
shown in parentheses)
Perform this key
operation:
Single-variable (X) ,2(SD)
Paired-variable (X, Y), linear
regression (
y = A + Bx) ,3(REG)1(Lin)
Paired-variable (X, Y), logarithmic
regression (
y = A + Blnx) ,3(REG)2(Log)
Paired-variable (X, Y),
e
exponential regression (
y = AeB
x) ,3(REG)3(Exp)
Paired-variable (X, Y), power
regression (
y = AxB ) ,3(REG)e1(Pwr)
Paired-variable (X, Y), inverse
regression (
y = A + B/x) ,3(REG)e2(Inv)
Paired-variable (X, Y), quadratic
regression (
y = A + Bx + Cx2 ) ,3(REG)e3(Quad)
Inputting Data
• In the SD Mode and REG Mode, the lkey operates as the 7
key.
• Always start data input with !,(CLR)b(Scl)=
(rb(Scl)=on the fx-82SX PLUS/220 PLUS) to clear statistical
memory.
• Input data using the key sequence shown below.
SD Mode: <
x-data> 7
REG Mode: <
x-data> ,<y-data> 7
k
66
77
88
99
1010
1111
1212
1313
• 77 inputs the same data twice.
• You can also input multiple entries of the same data using !,(;)
(!)(;) on the fx-82SX PLUS/220 PLUS).
Data Input Precautions
• While inputting data or after inputting data is complete, you can use
the fand ckeys to scroll through data you have input. If you
input multiple entries of the same data using !,(;) (!)(;) on
the fx-82SX PLUS/220 PLUS) to specify the data frequency (number
of data items) as described above, scrolling through data shows
both the data item and a separate screen for the data frequency
(Freq).
• Input the new value and then press the =key to replace the old
value with the new one. This also means that if you want to perform
some other operation, you should always press the Akey first to
exit data display.
• Pressing the 7key instead of =after changing a value on the
display registers the value you input as a new data item, and leaves
the old value as it is.
• You can delete a data value displayed using fand cby pressing
!l(CL). Deleting a data value causes all values following it to
be shifted up.
• The message “Data Full” appears and you will not be able to input
any more data if there is no memory left for data storage. If this
happens, press the =key to display the screen shown below.
Press cto exit data input without registering
the value you just input.
Press bif you want to register the value
you just input. If you do this, however, you will not be able to display
or edit any of the data you have input.
• After inputting statistical data in the SD Mode or REG Mode, you
will be unable to display or edit individual data items any longer
after perform either the following operations: changing to another
mode; changing the regression type.
• Entering the REG Mode and selecting a regression type (Lin, Log,
Exp, Pwr, Inv, Quad) clear variables A through F, X, and Y.
• Do not use variables A through F, X, or Y to store data when
performing statistical calculations.
Obtaining Statistical Values from Input Data
Supported statistical variables and the keys you should press to recall
them are shown below.
fx-82SX PLUS/220 PLUS:
Sum: Σx2
, Σx, Number of Items: n, Mean: o, Population Standard
Deviation: σx
, Sample Standard Deviation: s
x
!eto j
fx-82MS/85MS/300MS/350MS:
For single-variable statistical calculations, the variables marked with
an asterisk (*) are available.
Sum: Σx2
*, Σx*, Σy2 , Σy, Σxy, Σx3 , Σx2 y, Σx4 , Number of Items: n*
Σ x2
, Σx, n ........... !b(S-SUM) bto d
Σ y2
, Σy, Σxy ........ !b(S-SUM)ebto d
Σ x3
, Σx2 y, Σx4 ..... !b(S-SUM)ee bto d(Quadratic
Regression only)
Mean: o*, p, Population Standard Deviation: σx
*, σy , Sample
Standard Deviation: s
x
*, s
y
o, σx , s
x
.............. !c(S-VAR) bto d
p, σy
, s
y
............... !c(S-VAR)ebto d
Regression Coefficients: A, B, Correlation Coefficient: r
Regression Coefficients for Quadratic Regression: A, B, C
!c(S-VAR)ee bto d
Estimated Values: m, n
Estimated Values for Quadratic Regression: m1
, m2 , n
!c(S-VAR)eee bto c(or d)
•
m, m1 , m2 and nare not variables. They are commands of the type
that take an argument immediately before them. See “Calculating
Estimated Values” for more information.
To calculate the mean (o) and population standard
deviation (σx
) for the following data: 55, 54, 51, 55, 53, 53,
54, 52
,c(SD)
55 754 751 755 753 77 54 752 7
fx-82SX PLUS/220 PLUS: !h(o)=53.375
!i(σx )=1.316956719
fx-82MS/85MS/300MS/350MS:
!c(S-VAR)b(o) 53.375
!c(S-VAR)c(σx ) 1.316956719
2
fx-82MS/85MS/300MS/350MS: To calculate the linear
regression and logarithmic regression correlation
coefficients (r) for the following paired-variable data
and determine the regression formula for the strongest
correlation: (
x, y) = (20, 3150), (110, 7310), (200, 8800),
(290, 9310). Specify Fix 3 (three decimal places) for results.
,3(REG)1(Lin) ,1(Fix)3
20,3150 7110 ,7310 7200 ,8800 7290 ,
9310 7
!2(S-VAR)ee3(r)=
0.923
k
k
11
,3(REG)2(Log)
20 ,3150 7110 ,7310 7200 ,8800 7290 ,
9310 7
!2(S-VAR)ee3(r)=
0.998
!2(S-VAR)ee1(A)=−3857.984
!2(S-VAR)ee2(B)=2357.532
Logarithmic Regression Formula:
y = –3857.984 + 2357.532lnx
Calculating Estimated Values
Based on the regression formula obtained by paired-variable
statistical calculation, the estimated value of
y can be calculated for
a given
x-value. The corresponding x-value (two values, x1 and x2 , in
the case of quadratic regression) also can be calculated for a value
of
y in the regression formula.
To determine the estimate value for y when x = 160 in the
regression formula produced by logarithmic regression of
the data in
2
. Specify Fix 3 for the result. (Perform the
following operation after completing the operations in
2
.)
160 12(S-VAR)eee2(n)=
8106.898
Important: Regression coefficient, correlation coefficient, and
estimated value calculations can take considerable time when there
are a large number of data items.
16. Calculation Ranges, Number of
Digits, and Precision
Calculation Range and Precision
Calculation Range: ±1 × 10
–99
to 9.999999999 × 10
99
or 0
Number of Digits for Internal Calculation: 15 digits
Precision: In general, ±1 at the 10th digit for a single calculation.
Precision for exponential display is ±1 at the least significant digit.
Errors are cumulative in the case of consecutive calculations.
Function Calculation Input Ranges and Precision
Functions Input Range
sin
x
cosx
DEG 0  |x|  9 × 10
9
RAD 0  |x|  157079632.7
GRA 0  |x|  1 × 10
10
tanx
DEG Same as sin
x, except when |x| = (2n–1) × 90.
RAD Same as sinx, except when |x| = (2n–1) × π/2.
GRA Same as sinx, except when |x| = (2n–1) ×
100.
sin
–1
x
cos
–1
x 0  |x|  1
tan
–1
x 0  |x|  9.999999999 × 10
99
sinhx
coshx 0  |x|  230.2585092
sinh
–1
x 0  |x|  4.999999999 × 10
99
cosh
–1
x 1  x  4.999999999 × 10
99
tanhx 0  |x|  9.999999999 × 10
99
tanh
–1
x 0  |x|  9.999999999 × 10
–1
logx/lnx 0  x  9.999999999 × 10
99
10
x –9.999999999 × 10
99
 x  99.99999999
ex –9.999999999 × 10
99
 x  230.2585092
'
x
0  x  1 × 10
100
x2 |x|  1 × 10
50
x –1 |x|  1 × 10
100
; x G0
3
'
x
|x|  1 × 10
100
x ! 0  x  69 (x is an integer)
nPr 0 
n  1 × 10
10
, 0  r  n (n, r are integers)
1  {n!/(n–r)!}  1 × 10
100
nCr 0 
n  1 × 10
10
, 0  r  n (n, r are integers)
1  n!/r!  1 × 10
100
or 1  n!/(n–r)!  1 × 10
100
Pol(x, y) |x|, |y|  9.999999999 × 10
99
x2
+
y2
 9.999999999 × 10
99
Rec(r, θ) 0  r  9.999999999 × 10
99
θ: Same as sinx
°’ ”
|a|, b, c  1 × 10
100
; 0  b, c
The display seconds value is subject to an error of
±1 at the second decimal place.
|x|  1 × 10
100
Decimal ↔ Sexagesimal Conversions
0°0´0˝  |x|  9999999°59´
k
k
k
33
xy
x  0: –1 × 10
100
 ylogx  100
x = 0: y  0
x  0: y = n,
1
2n+1
(n is an integer)
However: –1 × 10
100
 ylog |x|  100
x
'
y
y  0: x G0, –1 × 10
100
 1/x logy  100
y = 0: x  0
y  0: x = 2n+1,
1
n
(n G0; n is an integer)
However: –1 × 10
100
 1/x log |y|  100
a
b/
c
Total of integer, numerator, and denominator must
be 10 digits or less (including division marks).
RanInt#(a, b)
a  b;
|a|
,
|b|  1 × 10
10
; b – a  1 × 10
10
(a, b are
integers)
• Precision is basically the same as that described under “Calculation
Range and Precision”, above.
• Calculations that use any of the functions or settings shown below
require consecutive internal calculations to be performed, which can
cause accumulation of error that occurs with each calculation.
xy ,
x
'
y
,
3
', x!, nPr, nCr; °,
r
,
g
(angle unit: radians); σx , s
x
, regression
coefficient.
• Error is cumulative and tends to be large in the vicinity of a function’s
singular point and inflection point.
• Accumulation of errors tends to occur during statistical calculations
involving data in which there is a large number of decimal places
and there is little difference between data items. Input of statistical
data is limited to six decimal places.
17. Error Messages
The calculator will display an error message whenever an error occurs
for any reason during a calculation.
• Press dor eto return to the calculation screen. The cursor will
be positioned at the location where the error occurred, ready for
input. Make the necessary corrections to the calculation and execute
it again. (Not included on the fx-82SX PLUS)
• Press Ato return to the calculation screen. Note that this also
clears the calculation that contained the error.
Math ERROR
Cause: • The intermediate or final result of the calculation you
are performing exceeds the allowable calculation range. • Your
input exceeds the allowable input range. • The calculation you are
performing contains an illegal mathematical operation (such as
division by zero).
Action: • Check the input values and reduce the number of digits.
• When using independent memory or a variable as the argument of
a function, make sure that the memory or variable value is within the
allowable range for the function.
Stack ERROR
Cause: The calculation you are performing has caused the capacity
of the numeric stack or the command stack to be exceeded.
Action: • Simplify the calculation expression. • Try splitting the
calculation into two or more parts.
Syntax ERROR
Cause: There is a problem with the format of the calculation you
are performing.
Action: Make necessary corrections.
Arg ERROR
Cause: Improper use of an argument.
Action: Make necessary corrections.
18. Before Assuming Malfunction of the
Calculator...
Perform the following steps whenever an error occurs during a
calculation or when calculation results are not what you expected.
Note that you should make separate copies of important data before
performing these steps.
1. Check the calculation expression to make sure that it does not
contain any errors.
2. Make sure that you are using the correct mode for the type of
calculation you are trying to perform.
3. If the above steps do not correct your problem, press the O
key.
4.Initialize all modes and settings. See “Initializing Calculator
Settings”.
19. Replacing the Battery
Important: Removing the battery will cause all of the calculator’s
memory contents to be deleted.
1. Press 1A(OFF) to turn off the calculator.
• To ensure that you do not accidentally turn on power while
replacing the battery, slide the hard case onto the front of the
calculator (fx-350MS).
2. Remove the cover as shown in the illustration and replace the
battery, taking care that its plus (+) and minus (–) ends are facing
correctly.
Screw Screw
Screw
Screw Screw
fx-82MS/82SX PLUS/
220 PLUS
fx-350MS fx-85MS/300MS
3. Replace the cover.
4. Initialize the calculator. See “3. Initializing the Calculator”.
• Do not skip the above step!
20.Specifications
Power Requirements:
fx-82MS/82SX PLUS/220 PLUS: AA-size battery R6P (SUM-3) × 1
fx-350MS: Button battery LR44 (GPA76) × 1
fx-85MS/300MS: Built-in solar cell; button battery LR44 (GPA76)
× 1
Approximate Battery Life:
fx-82MS/82SX PLUS/220 PLUS: 17,000 hours (continuous display
of flashing cursor)
fx-350MS: 9,000 hours (continuous operation)
fx-85MS/300MS: 3 years (based on one hour of operation per day)
Power Consumption:
0.0001 W (fx-82MS/82SX PLUS/220 PLUS/350MS)
Operating Temperature: 0°C to 40°C (32°F to 104°F)
Dimensions (H × W × D)/Approximate Weight (including the battery)
fx-82MS 18.6 × 85 × 156 mm
3
/
4
 × 3
3
/
8
 × 6
1
/
8

115 g
(4.1 oz)
fx-82SX PLUS
fx-220 PLUS
19.5 × 78 × 155 mm
3
/
4
 × 3
1
/
8
 × 6
1
/
8

115 g
(4.1 oz)
fx-85MS
fx-300MS
fx-350MS
12.2 × 85 × 155 mm
1
/
2
 × 3
3
/
8
 × 6
1
/
8

100 g
(3.5 oz)
RJA530690-001V01
LY700-4E140421.indd2LY700-4E140421.indd2 14.4.212:56:19PM14.4.212:56:19PM