Casio Fx 82ms User Manual
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User’s Guide Guía del usuario Mode d’emploi
Bedienungsanleitung Guida dell’utilizzatore
ENGLISH
Removing and Replacing
the Calculator’s Cover
• To Remove the cover
Grasp the top of the cover, and slide the unit out from the bottom.
• To Replace the cover
Grasp the top of the cover, and slide the unit in from the bottom.
Always slide the unit into the cover with the unit’s display end first. Never slide the keyboard end of the unit into the cover.
Safety Precautions
Be sure to read the following safety precautions before using this calculator. Keep this manual handy for later reference.
Caution
This symbol is used to indicate information that can result in personal injury or material damage if ignored.
Batteries
•After removing the batteries from the calculator, put them in a safe place where there is no danger of them getting into the hands of small children and accidently swallowed.
•Keep batteries out of the reach of small children. If accidently swallowed, consult with a physician immediately.
•Never charge batteries, try to take batteries apart, or allow batteries to become shorted. Never expose batteries to direct heat or dispose of them by incineration.
•Misuse of batteries can cause them to leak acid that can cause damage to nearby items and creates the possibility of fire and personal injury.
•Always make sure that a battery’s positive k and negativel sides are facing correctly when you load it into the calculator.
•Remove the batteries if you do not plan to use the calculator for a long time.
•Use only the type of batteries specified for this calculator in this manual.
Disposing of the Calculator
•Never dispose of the calculator by burning it. Doing so can cause certain components to suddenly burst, creating the danger of fire and personal injury.
•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 these materials. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.
Handling Precautions
•Be sure to press the P button on the back of the calculator (step 6on page 35 or 36) before using it for the first time (
•Be sure to press the 5key before using the calculator for the first time
•Even if the calculator is operating normally, replace the battery at least once every three years for the
Dead battery can leak, causing damage to and malfunction of the calculator. Never leave the dead battery in the calculator.
•The battery that comes with the calculator when you purchase it is for testing only. It may not provide full service life.
•Low battery power can cause memory contents to become corrupted or lost completely. Always keep written records of all important data.
•Avoid use and storage in areas subjected to temperature extremes.
Very low temperatures can cause slow display response, total failure of the display, and shortening of battery life. Also avoid leaving the calculator in direct sunlight, near a window, near a heater or anywhere else it might become exposed to very high temperatures. Heat can cause discoloration or deformation of the calculator’s case, and damage to internal circuitry.
•Avoid use and storage in areas subjected to large amounts of humidity and dust.
Take care never to leave the calculator where it might be splashed by water or exposed to large amounts of humidity or dust. Such elements can damage internal circuitry.
•Never drop the calculator or otherwise subject it to strong impact.
•Never twist or bend the calculator.
Avoid carrying the calculator in the pocket of your trousers or other
•Never try to take the calculator apart.
•Never press the keys of the calculator with a
•Use a soft, dry cloth to clean the exterior of the unit.
If the calculator becomes very dirty, wipe it off with a cloth moistened in a weak solution of water and a mild neutral household detergent. Wring out all excess moisture before wiping the calculator. Never use thinner, benzine or other volatile agents to clean the calculator. Doing so can remove printed markings and damage the case.
Safety Precautions ..................... | 1 |
Handling Precautions .................... | 2 |
5 | |
Key Layout ............................ | 6 |
Before Starting Calculations.. ............ | 8 |
kModes .................................. | 8 |
kInput Capacity ............................ | 9 |
kMaking Corrections During Input .............. | 9 |
kReplay Function ........................... | 9 |
kError Locator ............................ | 10 |
kExponential Display Formats ................ | 10 |
kAnswer Memory .......................... | 10 |
Basic Calculations ..................... | 11 |
Memory Calculations ................... | 11 |
kIndependent Memory ...................... | 11 |
kVariables ............................... | 11 |
Fraction Calculations ................... | 12 |
kFraction Calculations ...................... | 12 |
12 | |
12 | |
Percentage Calculations ................ | 13 |
Scientific Function Calculations .......... | 14 |
kTrigonometric/Inverse Trigonometric Functions .. | 14 |
kHyperbolic/Inverse Hyperbolic Functions ...... | 14 |
kAngle Unit Conversion ..................... | 15 |
kCommon and Natural Logarithms/ | |
Antilogarithms ........................... | 15 |
kSquare Roots, Cube Roots, Roots, Squares, | |
Cubes, Reciprocals, Factorials, | |
Random Numbers and π ..................... | 15 |
kFIX, SCI, RND ........................... | 16 |
kENG Calculations ........................ | 17 |
kInputting ENG Calculation Symbols ........... | 17 |
kCoordinate Conversion (Pol(x,y), Rec (r,θ)) ...... | 18 |
kPermutation ............................. | 19 |
kCombination ............................. | 19 |
Statistical Calculations ................. | 19 |
kStandard Deviation (SD Mode) .............. | 19 |
kProbability Distribution Calculations .......... | 20 |
kRegression Calculations (REG Mode) ......... | 21 |
Complex Number Calculations | |
(CMPLX Mode) ........................ | 23 |
kAbsolute Value/Argument Calculation ......... | 24 |
Formula Memory ...................... | 24 |
Metric Conversions | 25 |
Scientific Constants | 26 |
28 | |
Integration Calculations ................. | 30 |
Degrees, Minutes, Seconds Calculations .. | 30 |
Technical Information................... | 31 |
kWhen you have a problem... ............... | 31 |
kError Messages .......................... | 31 |
kOrder of Operations ....................... | 32 |
kStacks ................................. | 33 |
kPower Supply ............................ | 34 |
kInput Ranges ............................ | 37 |
Specifications ........................ | 39 |
You can simultaneously check the calculation formula and its answer.
The first line displays the calculation formula. The second line displays the answer.
Key Layout
<
Page | 12 | 9 | ||||||||||||||||||||||||||||
SHIFT | ALPHA | REPLAY | MODE | OFF | ||||||||||||||||||||||||||
Page | 25 | 16 29 | 25 | 15 | 16 | |||||||||||||||||||||||||
x! LOGIC | CONV | |||||||||||||||||||||||||||||
Page | 25 | 30 | 16 | 27 | 16 | 15 | ||||||||||||||||||||||||
Page | 18 24 | 12 | 29 | 15 29 | 15 29 | |||||||||||||||||||||||||
Page | DEC | HEX | 10 BIN | e | OCT | |||||||||||||||||||||||||
17 | 12 | 15 | 16 | 15 | 15 | |||||||||||||||||||||||||
Page | 11 | 30 11 | 11 | 11 | 14 11 | 14 11 | ||||||||||||||||||||||||
Page | A | B | C | D | ||||||||||||||||||||||||||
11 | 30 | 14 | 14 | 14 | ||||||||||||||||||||||||||
Page | 20 | 24 | 21 24 | 24 11 | 20 11 | 11 11 | ||||||||||||||||||||||||
DISTR | r arg | Abs | X | Y | M- | M | ||||||||||||||||||||||||
Page | 11 | 11 | 11 | 11 | 20 DT CL20 | |||||||||||||||||||||||||
11 | ||||||||||||||||||||||||||||||
Page | 21 | 17 | 21 | 17 | 21 | 17 | 9 | 11 | 19 | |||||||||||||||||||||
Page | A | M | B | G | C | T | INS | McI | ScI | |||||||||||||||||||||
9 | ||||||||||||||||||||||||||||||
Page | 21 | 17 | 21 | 17 | 21 | 17 | 19 | 19 | ||||||||||||||||||||||
y | m | k | nPr | nCr | ||||||||||||||||||||||||||
Page | 19 | 17 | 19 | 17 | 19 | 17 | 21 | 18 | 21 | 18 | ||||||||||||||||||||
f | p | n | Pol( | y | Rec( | |||||||||||||||||||||||||
Page | 16 | 16 | 16 | 15 | 13 | |||||||||||||||||||||||||
Rnd | Ran# | DRG | ||||||||||||||||||||||||||||
Page | 11 | 10 | ||||||||||||||||||||||||||||
CONV |
<
Page | 12 | 9 | 2 | |||||||||||||||||||||||||||
SHIFT | ALPHA | REPLAY | MODE | ON | ||||||||||||||||||||||||||
Page | 25 | 16 29 | 25 | 15 | 16 | |||||||||||||||||||||||||
x! LOGIC | CONV | |||||||||||||||||||||||||||||
Page | 25 | 30 | 16 | 27 | 16 | 15 | ||||||||||||||||||||||||
Page | 18 24 | 12 | 29 | 15 29 | 15 29 | |||||||||||||||||||||||||
Page | DEC | HEX | 10 BIN | e | OCT | |||||||||||||||||||||||||
17 | 12 | 15 | 16 | 15 | 15 | |||||||||||||||||||||||||
Page | 11 | 30 11 | 11 | 11 | 14 11 | 14 11 | ||||||||||||||||||||||||
Page | A | B | C | D | ||||||||||||||||||||||||||
11 | 30 | 14 | 14 | 14 | ||||||||||||||||||||||||||
Page | 20 | 24 | 21 24 | 24 11 | 20 11 | 11 11 | ||||||||||||||||||||||||
DISTR | r arg | Abs | X | Y | M- | M | ||||||||||||||||||||||||
Page | 11 | 11 | 11 | 11 | 20 DT CL20 | |||||||||||||||||||||||||
11 | ||||||||||||||||||||||||||||||
Page | 21 | 17 | 21 | 17 | 21 | 17 | 9 | 11 | 19 | |||||||||||||||||||||
Page | A | M | B | G | C | T | INS | McI | ScI | |||||||||||||||||||||
9 | ||||||||||||||||||||||||||||||
Page | 21 | 17 | 21 | 17 | 21 | 17 | 19 | 19 | ||||||||||||||||||||||
y | m | k | nPr | nCr | ||||||||||||||||||||||||||
Page | 19 | 17 | 19 | 17 | 19 | 17 | 21 | 18 | 21 | 18 | ||||||||||||||||||||
f | p | n | Pol( | y | Rec( | |||||||||||||||||||||||||
Page | 16 | 16 | 16 | 15 | 13 | |||||||||||||||||||||||||
Rnd | Ran# | DRG | ||||||||||||||||||||||||||||
Page | 11 | 10 | ||||||||||||||||||||||||||||
CONV |
Before Starting Calculations..
kModes
Application | Mode | Mode |
Name | Indicator | |
Calculation Modes | ||
Normal calculations | COMP | – |
Complex number | CMPLX | CMPLX |
calculations | ||
Standard deviation | SD | SD |
calculations | ||
Regression calculations | REG | REG |
b (binary) | ||
o (octal) | ||
d (decimal) | ||
H (hexadecimal) | ||
Angle Unit Modes | ||
Degrees | DEG | R |
Radians | RAD | T |
Grads | GRA | B |
Display Modes | ||
Exponential notation | NORM1 | – |
(Canceling FIX and SCI | ||
NORM2 | – | |
specification) | ||
Number of decimal | FIX | Fix |
place specification | ||
Number of significant | SCI | Sci |
digit specification | ||
Exponential display range | ENG | ENG |
specifications |
Note!
•Mode indicators appear in the lower part of the display, except for the
•The ENG mode cannot be selected while the calculator is in the CMPLX or
•You cannot set the angle unit or the display mode while the calculator is in the
•The COMP, CMPLX, SD, and REG modes can be used in combination with the angle unit modes.
•Be sure to check the current calculation mode (SD, REG, COMP, CMPLX) and angle unit mode (DEG, RAD, GRA) before beginning a calculation.
kInput Capacity
•The memory area used for calculation input can hold 79 “steps.” Whenever you input the 73rd step of any calculation, the cursor changes from “_” to “k” to let you know memory is running low. If you still need to input more, you should divide your calculation into two or more parts.
kMaking Corrections During Input
•Use e andr to move the cursor to the location you want.
•Press [ to delete the number or function at the current cursor position.
•Press AK to change to an insert cursort. Inputting something while the insert cursor is on the display inserts the input at the insert cursor position.
•Press e,r,AK, or= returns to the normal cursor from the insert cursor.
kReplay Function
•Pressing r ore recalls the last calculation you performed. You can then make any changes you want in the calculation and
•Pressing t does not clear Replay memory, so you can recall the last calculation even after you presst.
•Replay memory is cleared whenever you start a new calculation, change to another mode, or turn off power.
kError Locator
•Pressing r ore after an error occurs displays the calculation with the cursor positioned at the location where the error occurred.
kExponential Display Formats
This calculator can display up to 10 digits. Larger values are automatically displayed using exponential notation. In the case of decimal values, you can select between two formats that determine at what point exponential notation is used. Press F FF F3 1(or2) to select NORM 1 or NORM 2.
• NORM 1
With NORM 1, exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than two decimal places.
• NORM 2
With NORM 2, exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than nine decimal places.
•All of the examples in this manual show calculation results using the NORM 1 format.
kAnswer Memory
•Whenever you press =after inputting values or an expression, the calculated result is automatically stored in
Answer Memory. You can recall Answer Memory contents by pressing g.
•Answer Memory can store up to 12 digits for the mantissa and two digits for the exponent.
•Answer Memory contents are not changed if the operation performed by any of the above key operations results in an error.
Basic Calculations
•Use the COMP mode for basic calculations.
•Example 1: 3 (5
3 | |
• Example 2:5 (9 7) | |
5 | 80. |
• You can skip all T operations before=. |
Memory Calculations
kIndependent Memory
•Values can be input directly into memory, added to memory, or subtracted from memory. Independent memory is convenient for calculating cumulative totals.
•Independent memory uses the same memory area as variable M.
•To clear independent memory (M), input 0j3.
•Example:
23 | 9 | 32 | 23 +9j3 | 32. | |
53 | 6 | 47 | |||
53 , 6 | 47. | ||||
) 45 | 2 | 90 | |||
(Total) | 45 | 90. | |||
03 |
kVariables
•There are nine variables (A through F, M, X and Y), which can be used to store data, constants, results, and other values.
•Use the following operation to delete data assigned to all nine variables: AC=.
•Use the following operation to delete data assigned to a particular variable: 0 j 1. This operation deletes the data assigned to variable A.
• Example:193.2 | 23 8.4 | ||
193.2 | 28 6.9 | ||
193.2 j1 | 23 = | 8.4 | |
p1 | 28 = | ||
6.9 |
Fraction Calculations
kFraction Calculations
•Use the COMP mode for fraction calculations.
•Values are automatically displayed in decimal format whenever the total number of digits of a fractional value (integer numerator denominator separator marks) exceeds 10.
•Example 1: 23 1 45
2 C3+1C 4C 5= 2 715.
• Example 2: | 1 | 1.6 |
2 | ||
1 C2+1.6= | 2.100 |
• Fraction/decimal calculation results are always decimal.
• Example: 2.75 → 2 | 3 | 2.75 = | 2.75 | |||||
4 | ||||||||
C | 2 | 3 | 4.00 | |||||
AB | 11 | 4.00 |
• Example: | 1 | ↔ 0.5 (Fraction ↔Decimal) | |
2 | |||
1 C 2= | 1 | 2.00 |
C | 0.500 |
C 12.00
Percentage Calculations
•Use the COMP mode for percentage calculations.
•Example 1: To calculate 12% of 1500
1500 - 12Av | 180.00 |
• Example 2: To calculate what percentage of 880 is 660
660 880Av | 75.00 | |
• Example 3: To add 15% onto 2500 | ||
2500 | Av+ | 2875.00 |
• Example 4: To discount 3500 by 25% | ||
3500 | 2625.00 |
•Example 5: If 300 grams are added to a test sample originally weighing 500 grams, what is the percentage increase in weight?
300 500 | 100 160 (%) |
500 | |
300 +500Av | 160.00 |
•Example 6: If temperature changes from 40°C to 46°C, what percentage did it rise?
46 40
40
100 15 (%)
46 , 40Av | 15.00 |
Scientific Function Calculations
•Use the COMP mode for scientific function calculations.
•= 3.14159265359
kTrigonometric/Inverse Trigonometric
Functions
• Example 1: sin63°52 41
qqq 1→“ R ”
S63 I52I 41I=
•Example 2: cos ( π3 rad)
qqq 2→“ T ”
WR Ax 3 T=
• Example 3:cos 1 | 2 | π | rad |
4 | |||
2 |
qq q2→“ T ”
WAVRL2 2 T=
g Ax=
• Example 4: tan10.741
qqq1 →“ R ”
Ag0.741=
0.89785901200
R
0.500
T
0.78539816300
T
0.2500
36.5384457700
R
kHyperbolic/Inverse Hyperbolic
Functions
• Example 1:sinh 3.6
M S3.6 = 18.2854553600
• Example 2:sinh 1 30
MA j30 = 4.09462222400
kAngle Unit Conversion
• Press Av to display the following menu.
D R G
1 2 3
•Pressing 1,2, or3 converts the displayed value to the corresponding angle unit.
•Example : To convert 4.25 radians to degrees
FFF1 → “ R ” | |||
4.25 | Av 2 | ( ) = | 4 . 25r |
R | 243.5070629 |
kCommon and Natural Logarithms/
Antilogarithms
• Example 1:log 1.23 | R1.23= | 0.08990511100 | |
• Example 2: In 90 ( loge 90) | |||
T90 | |||
= | 4.4998096700 | ||
• Example 3:e10 | A U10 | ||
= | 22026.4657900 | ||
• Example 4:101.5 | A Q1.5 | ||
= | 31.622776600 | ||
• Example 5:24 | |||
2 w 4 | = | 16.00 |
kSquare Roots, Cube Roots, Roots,
Squares, Cubes, Reciprocals,
Factorials, Random Numbers and π
• Example 1:2 3 5
L2 +L3
• Example 2:3 5 3 27
AD5 +ADD 27 =
1 | ||||||||
• Example 3:7 123 | ( = 123 7 ) | |||||||
7 A H123= | 1.988647795 | |||||||
• Example 4:123 302 | ||||||||
123 +30K= | 1023. | |||||||
• Example 5:123 | 12 N= | |||||||
1728. | ||||||||
• Example 6: | 1 | |||||||
1 | 1 | |||||||
3 | 4 | |||||||
R3 a,4 aT a= | 12. | |||||||
• Example 7:8! | 8 Af= | |||||||
40320. |
•Example 8: To generate a random number between 0.000 and 0.999
AM= | 0.664 |
Example (results differ each time) | |
• Example 9:3π | |
3 Ax= | 9.424777961 |
kFIX, SCI, RND
• Example 1: 200 7 14 400
200 7- 14 | = | 400. | ||
(Specifies three | FFF F13 | 400.00000 | ||
decimal places.) | Fix | |||
(Calculation continues using 10 | 200 7= | |||
28.571 | ||||
display digits) | ||||
- 14 | = | |||
400.000 |
Performing the same calculation using the specified number of decimal places
200 7= | 28.571 |
AQ | |
(Internal rounding) | 28.571 |
•Press FFFF 31to clear FIX specification.
•Example 2: 1 3, displaying result with two significant digits (SCI 2)
FFFF2 21 3 = | |
Sci |
• Press FFFF31 to clear SCI specification.
kENG Calculations
• Example 1: To convert 56,088 meters to kilometers
56088 =J 56.08803
• Example 2: To convert 0.08125 grams to milligrams
0.08125 =J |
kInputting ENG Calculation Symbols
•F F F F F 1 enters the ENG mode in which ENG symbols can be used in calculations.
•To exit the ENG mode, press FFF FF2.
•The following are the nine ENG symbols that can be used in ENG mode calculations.
Key Operation | Unit | Symbol |
A k | 103 | k (kilo) |
A M | 106 | M (Mega) |
A g | 109 | G (Giga) |
A t | 1012 | T (Tera) |
A m | m (milli) | |
A N | (micro) | |
A n | n (nano) | |
A p | p (pico) | |
A f | f (femto) |
*For displayed values, the calculator selects the ENG symbol that makes the numeric part of the value fall within the range of 1 to 1000.
*ENG symbols cannot be used when inputting fractions.
*The ENG mode cannot be used in combination with the CMPLX, or
•Performing any of the key operations in the above table while you are not in the ENG mode inputs the exponential value in the “Unit” column (without inputting the ENG symbol).
•Example: 9 10 = 0.9 m (milli)
F FFFF 1 | 0. |
ENG |
9 10= | 9 1 | m |
900. |
In the ENG mode, even standard
AP | 0.9 | |
J | 9 1 | m |
900. |
kCoordinate Conversion (Pol(x,y), Rec (r,θ))
•Calculation results are automatically assigned to variables E and F.
•Example 1: To convert polar coordinates (r 2, 60°) to rectangular coordinates (x,y) (DEG mode)
x | AF 2 P60 T= | 1. |
R | ||
0o | ||
y | 1.732050808 |
•0 n,0 o swaps displayed value with value in memory.
•Example 2: To convert rectangular coordinates (1,3) to polar coordinates (r, ) (RAD mode)
r | Af1 P L3 T= | 2. |
T |
θ0o 1.047197551
•0 n,0 o swaps displayed value with value in memory.
kPermutation
•Example: To determine how many different
•Numbers cannot be duplicated within the same
7 Am 4= | 840. |
kCombination
•Example: To determine how many different
10 An 4= | 210. |
Statistical Calculations
kStandard Deviation (SD Mode)
•Press F F 1 to enter the SD Mode for statistical calculations using standard deviation.
•Data input always starts with Am=to clear statistical memory.
•Input data is used to calculate values for n,Σx,Σx2,o,σn and
•Example: To calculateσn 1,σn,o,n, Σx, and Σx2 for the following data : 55, 54, 51, 55, 53, 53, 54, 52
Enter SD Mode F F 1
A m= (Memory Clear)
55 S54S 51S 55S
53 SS 54S 52S 52.00
SD
(Sample Standard Deviation σn 1) | A N = | 1.40788595300 |
(Population Standard Deviation σn) | A A = | 1.31695671900 |
A M = | ||
(Arithmetic Mean o) | 53.37500 | |
0 k | ||
(Number of Data n) | 8.00 | |
0 H | ||
(Sum of Values Σx) | 427.00 | |
0 G | ||
(Sum of Squares of Values Σx 2) | 22805.00 |
Data Input Precautions
•S Sinputs the same data twice.
•You can also input multiple entries of the same data using A G. To input the data 110 ten times, for example, press 110A G10S.
•The above results can be obtained in any order, and not necessarily that shown above.
•To delete data you have just input, press A U.
kProbability Distribution Calculations
• Press A Dto produce the screen shown below.
P ( Q( R( →t
1 2 3 4
•Input a value from 1 to4 to select the probability distribution calculation you want to perform.
P(t) | Q(t) | R(t) |
•Example : Using the
53 A D4 (→t) =
A D1 ( P( )
kRegression Calculations (REG Mode)
•Press F F 2 to enter the REG mode and then se-
lect one of the following regression types. 1: Linear regression
2: Logarithmic regression
3: Exponential regressionr1: Power regression
r2: Inverse regressionr3: Quadratic regression
•Data input always starts with A m= to clear statistical memory.
•The values produced by a regression calculation depend on the values input, and results can be recalled using the key operations shown in the table below.
0 G | Σx2 | A N | |
0 H | Σx | A l | p |
0 k | n | A d | yσn |
0 h | Σy2 | A c | |
0 n | Σy | A q | Regression coefficient A |
0 o Trade gothic lt std bold. | Σxy | A w | Regression coefficient B |
0 M | Σx3 | A e | Regression coefficient C |
0 x | Σx2y | A u | Correlation coefficient r |
0 y | Σx4 | A O | m |
A M | o | A b | n |
A A | xσn |
• Linear Regression
The regression formula for linear regression is: y A Bx.
• Example: Atmospheric Pressure vs. Temperature
Temperature | Atmospheric | Perform linear regression to de- | |
Pressure | termine the regression formula | ||
10°C | 1003 hPa | ||
terms and correlation coefficient | |||
15°C | 1005 hPa | ||
for the data nearby. Next, use the | |||
20°C | 1010 hPa | ||
regression formula to estimate at- | |||
25°C | 1011 hPa | ||
mospheric pressure at 18°C and | |||
30°C | 1014 hPa | ||
temperature at 1000 hPa. | |||
Enter REG Mode (Linear Regression) | |||
qq 2 1 | |||
A m =(Memory Clear) | |||
10 P1003S 15P1005S | |||
20 P1010S 25P1011S | |||
30 P1014S | 30.00 | ||
REG | |||
A q= | |||
(Regression Coefficient A) | 997.400 | ||
A w= | |||
(Regression Coefficient B) | 0.5600 | ||
(Correlation Coefficient r) | A J= | 0.98260736800 | |
18 A b | |||
(Atmospheric Pressure at 18°C) | 1007.4800 | ||
(Temperature at 1000 hPa) | 1000 A O | 4.64285714300 |
•Quadratic Regression
•The regression formula for quadratic regression is: y = A + Bx +Cx2.
•Input data using the following key sequence.
•Example:
Perform quadratic regression to determine the regression formula terms and correlation coefficient for the data nearby. Next, use the regression formula to estimate the values for yˆ (estimated value ofy) forxi = 16 andˆx (estimated value ofx) foryi = 20.
Enter REG mode (Quadratic regression)
F F 2 r 3
A m=
29 P1.6S50P 23.5 | S | ||
74 P 38.0S103P 46.4 | S | ||
118 P 48.0 | S | 118. | |
REG | |||
A q= | |||
(Regression Coefficient A) | |||
(Regression Coefficient B) | A w= | 1.495939413 | |
(Regression Coefficient C) | A e= | ||
(ˆy whenxi = 16) | 16 A b | ||
(xˆ 1 whenyi = 20) | 20 A O | 47.14556728 | |
(xˆ 2 whenyi = 20) | A O | 175.5872105 |
Data Input Precautions
•SS inputs the same data twice.
•You can also input multiple entries of the same data using A G. To input the data “20 and 30” five times, for
example, press 20 P 30A G 5S.
•The above results can be obtained in any order, and not necessarily that shown above.
•To delete data you have just input, press A U.
Complex Number Calculations
(CMPLX Mode)
•Press F 2to enter the CMPLX Mode for calculations that include complex numbers.
•You can use variables A, B, C and M only. Variables D, E, F, X, and Y are used for storage of the imaginary parts of values and so cannot be used by you.
• Example: (2 + 3i) + (4 + 5i) | |
Enter CMPLX Mode F 2 | |
R2+3iT+ | |
R4+5iT= | 6. |
Real number part | |
A r | |
8. i | |
Imaginary number part |
kAbsolute Value/Argument Calculation
•The procedure described below can be used to determine the absolute value (Abs) and argument (arg) for a complex number of the format Z = a +bi, which is presumed to exist as coordinates on a Gaussian plane.
•Example: To obtain the absolute value (r) and argument (θ) for the complex number 3 + 4i, when DEG is set for the angle unit mode
Imaginary number axis
Real number axis
Determine the absolute value.
A AR3 +4 iT= | 5. | |
CMPLX | ||
Determine the argument. | ||
A aR3 +4 iT= | 53.13010235 |
Formula Memory
•Formula memory lets you input a single formula in memory, and then input values for the formula's variables to calculate results.
•Memory can hold a single formula, up to 79 steps long. This function can be used in the COMP or CMPLX mode only.
•Note that the formula is actually stored in memory when you press the Ckey in the sequence below.
•Example: To save the following formula, recall it, and then use it to calculate a result: Y = X2 + 3X – 12
Input the formula.
pypu pxK + | Y=X 2 | ||||
3 p x ,12 | 0. | ||||
Store it in memory. | C | X? | 0. | ||
Input a value for its variable. 7 | = | ||||
58. | |||||
= | X? | 7. | |||
8 | = | 76. |
•Formula memory is cleared whenever you start a new calculation, change to another mode, or turn off power.
Metric Conversions
•A total of 20 different conversion pairs are
•See the Conversion Pair Table on page 26 for a complete list of available conversion pairs.
•Example: To convert 31 inches to centimeters
31 A c CONV
CONV 1
01
01 is the
31 i n cm
0.
31 i n cm
= 78.74
• Conversion Pair Table
Based on ISO Standard (1992) data and CODATA Bulletin 63 (1986) data.
Number | Conversion Pair | Number | Conversion Pair |
01 | in → cm | 21 | oz → g |
02 | cm → in | 22 | g → oz |
03 | ft → m | 23 | lb → kg |
04 | m → ft | 24 | kg → lb |
05 | yd → m | 25 | atm → Pa |
06 | m → yd | 26 | Pa → atm |
07 | mile → km | 27 | mmHg → Pa |
08 | km → mile | 28 | Pa → mmHg |
09 | n mile → m | 29 | hp → kW |
10 | m → n mile | 30 | kW → hp |
11 | acre → m2 | 31 | kgf/cm2→ Pa |
12 | m2 → acre | 32 | Pa → kgf/cm2 |
13 | gal (US) →r | 33 | kgf•m → J |
14 | r → gal (US) | 34 | J → kgf•m |
15 | gal (UK) →r | 35 | lbf/in2 → kPa |
16 | r → gal (UK) | 36 | kPa → lbf/in2 |
17 | pc → km | 37 | °F →°C |
18 | km → pc | 38 | °C →°F |
19 | km/h → m/s | 39 | J → cal |
20 | m/s → km/h | 40 | cal → J |
Scientific Constants
•A total of 40
•Simply input the number that corresponds to the scientific constant you want to look up and it appears instantly on the display.
•See the Scientific Constant Table on pages 27 and 28 for a complete list of available constants.
•Example: To determine how much total energy a person weighing 65kg has (E = mc2)
65 L CONST
CONST28
28
28 is the “speed of light in vacuum” constant number.
65Co
0.
K 65Co2 0.
65Co 2
= 5.84190866218
• Scientific Constant Table
Based on ISO Standard (1992) data and CODATA Bulletin 63 (1986) data.
Number | Constant Name | Symbol |
01 | proton mass | mp |
02 | neutron mass | mn |
03 | electron mass | me |
04 | muon mass | m |
05 | Bohr radius | a 0 |
06 | Planck's constant | h |
07 | nuclear magneton | N |
08 | Bohr magneton | B |
09 | Planck's constant, rationalized | |
10 | α | |
11 | classical electron radius | re |
12 | electron Compton wavelength | λc |
13 | proton gyromagnetic ratio | γp |
14 | proton Compton wavelength | λcp |
15 | neutron Compton wavelength | λcn |
16 | Rydberg constant | R∞ |
17 | atomic mass unit | u |
18 | proton magnetic moment | p |
19 | electron magnetic moment | e |
20 | neutron magnetic moment | n |
21 | muon magnetic moment | |
22 | Faraday constant | F |
Number | Constant Name | Symbol |
23 | elementary charge | e |
24 | Avogadro constant | NA |
25 | Boltzmann constant | k |
26 | molar volume of ideal gas | Vm |
27 | molar gas constant | R |
28 | speed of light in vacuum | C 0 |
29 | first radiation constant | C 1 |
30 | second radiation constant | C 2 |
31 | σ | |
32 | permittivity of vacuum | ε0 |
33 | permeability of vacuum | 0 |
34 | magnetic flux quantum | φ0 |
35 | standard acceleration of gravity | g |
36 | astronomical unit | AU |
37 | parsec | pc |
38 | Celsius temperature | t |
39 | Newtonian constant of gravitation | G |
40 | standard atmosphere | atm |
•In addition to decimal values, calculations can be performed using binary, octal and hexadecimal values.
•You can specify the default number system to be applied to all input and displayed values, and the number system for individual values you input.
•You cannot use scientific functions in binary, octal, decimal, and hexadecimal calculations.You cannot input values that include decimal part and an exponent.
•If you input a value that includes a decimal part, the unit automatically cuts off the decimal part.
•Negative binary, octal, and hexadecimal values are produced by taking the two's complement.
•You can use the following logical operators between values in
•The following are the allowable ranges for each of the available number systems.
Binary | 1000000000 | x 1111111111 | |
0 | x 0111111111 | ||
Octal | 4000000000 | x 7777777777 | |
0 | x 3777777777 | ||
Decimal | x 2147483647 | ||
Hexadecimal | 80000000 | x | FFFFFFFF |
0 | x | 7FFFFFFF |
•Example 1: To perform the following calculation and produce a binary result:
101112 + 110102 | ||||
Binary mode F F 3 b | 0. | b | ||
10111 | +11010 | 0. | b | |
2 | 2 | |||
= | ||||
110001. | b |
•Example 2: To perform the following calculation and produce an octal result:
76548 1210 | ||
Octal mode F F 3 o | 0. | o |
lll4(o) 76548 | ||
lll1(d)1210 | 0. | o |
= | 516. | o |
•Example 3: To perform the following calculation and produce a hexadecimal result:
12016 or 11012 | ||
Hexadecimal mode F F 3 h | 0. | H |
12016 l2(or) | ||
lll3(b)11012 | 0. | H |
= | 12d. | H |
Integration Calculations
•The following four inputs are required for integration calculations: a function with the variable x;a andb, which define the integration range of the definite integral; andn, which is the number of partitions (equivalent to N = 2n) for integration using Simpson’s rule.
d expressionPa P b Pn T
•Use the COMP mode for integration calculations.
5
• Example: To calculate:∫1 (2x2 + 3x + 8)dx d 2p xK +3px+
8 P 1P5P6T | 0. |
= 150.6666667
Note!
•You can specify an integer in the range of 1 to 9 as the number of partitions, or you can skip input of the number of partitions entirely, of you want.
•Internal integration calculations may take considerable time to complete.
•Display contents are cleared while an integration calculation is being performed internally.
Degrees, Minutes, Seconds
Calculations
•You can perform sexagesimal calculations using degrees (hours), minutes, and seconds, and convert between sexagesimal and decimal values.
•Example 1: To convert the decimal value 2.258 to a sexagesimal value
2.258
2°15°28.8
•Example 2: To perform the following calculation: 12°34’56” 3.45
12 I34I 56I | 0. |
= 43°24°31.2
Technical Information
kWhen you have a problem...
If calculation results are not what you expect or if an error occurs, perform the following steps.
1.F 1 (COMP mode)
2.F F F 1 (DEG mode)
3.F F F F 3 1 (NORM 1 mode)
4.Check the formula you are working with to confirm it is correct.
5.Enter the correct modes to perform the calculation and try again.
<
If the above steps do not correct your problem, press the P button (see page 35 or 36) on the back of the calculator to reset it. Pressing the P button deletes all data stored in calculator memory. Make sure you always keep written copies of all important data.
<
If the above steps do not correct the problem, press the 5key.The calculator performs a
kError Messages
The calculator is locked up while an error message is on the display. Press t to clear the error, or presseorr to display the calculation and correct the problem. See “Error Locator” on page 10 for details.
Ma ERROR
•Cause
•Calculation result is outside the allowable calculation range.
•Attempt to perform a function calculation using a value that exceeds the allowable input range.
•Attempt to perform an illogical operation (division by zero, etc.).
•Action
•Check your input values and make sure they are all within the allowable ranges. Pay special attention to values in any memory areas you are using.
Stk ERROR
•Cause
•Capacity of the numeric stack or operator stack is exceeded.
•Action
•Simplify the calculation. The numeric stack has 10 levels and the operator stack has 24 levels.
•Divide your calculation into two or more separate parts.
Syn ERROR
•Cause
•Attempt to perform an illegal mathematical operation.
•Action
•Press e orr to display the calculation with the cursor located at the location of the error. Make necessary corrections.
Arg ERROR
•Cause
•Improper use of argument
•Action
•Press eorrto display the location of the cause of the error and make required corrections.
kOrder of Operations
Calculations are performed in the following order of precedence.
1Coordinate transformation: Pol (x,y), Rec (r,θ) Integrations:∫dx
2Type A functions:
With these functions, the value is entered and then the
function key is pressed. x2,x 1,x!,°’ ”
3Powers and roots: xy,x
4ab/c
5Abbreviated multiplication format in front of π, memory name, or variable name: 2π, 5A,πA etc.
6Type B functions:
With these functions, the function key is pressed and then the value is entered.
,3 , log, In,ex, 10x, sin, cos, tan, sin1, cos1, tan1, sinh, cosh, tanh, sinh1, cosh1, tanh1, ( )
7Abbreviated multiplication format in front of Type B functions: 23, Alog2 etc.
8Permutation and combination: nPr,nCr
9,
0 ,
* Operations of the same precedence are performed from right to left. exIn120 →ex{In(120)}
Other operations are performed from left to right.
* Operations enclosed in parentheses are performed first.
kStacks
This calculator uses memory areas, called “stacks,” to temporarily store values (numeric stack) and commands (command stack) according to their precedence during calculations.The numeric stack has 10 levels and the command stack has 24 levels. A stack error (Stk ERROR) occurs whenever you try to perform a calculation that is so complex that the capacity of a stack is exceeded.
kPower Supply
The type of battery you should use depends on the model number of your calculator.
<
The TWO WAY POWER system actually has two power supplies: a solar cell and a G13 Type (LR44) button battery. Normally, calculators equipped with a solar cell alone can operate only when relatively bright light is present. The TWO WAY POWER system, however, lets you continue to use the calculator as long as there is enough light to read the display.
•Replacing the Battery
Either of the following symptoms indicates battery power is low, and that the battery should be replaced.
•Display figures are dim and difficult to read in areas where there is little light available.
•Nothing appears on the display when you press the 5 key.
•To replace the battery
1 Remove the six screws that
hold the back cover in place
and then remove the back Screw Screw cover.
2 Remove the old battery.
3 Wipe off the sides of new battery with a dry, soft cloth. Load it into the unit with the positivek side facing up (so you can see it).
4 Replace the back cover and secure it in place with the six screws.
5Press 5to turn power on. Be sure not to skip this step.
<
This calculator is powered by single G13 Type (LR44) button battery.
•Replacing the Battery
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 become dim.
•To replace the battery
1Press ito turn power off.
2Remove the two screws that hold the battery cover in place and then remove the battery cover.
3Remove the old battery.
4Wipe off the side of new battery with a dry, soft cloth. Load it into the unit with the positive k side facing up (so you can see it).
5Replace the battery cover and secure it in place with the two screws.
6Use a thin, pointed object to press the P button. Be sure not to skip this step.
7Press Lto turn power on.
<
This calculator is powered by single
•Replacing the Battery
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 become dim.
•To replace the battery
1Press ito turn power off.
2Remove the six screws
that hold the back cover in | Screw | Screw |
place and then remove the | ||
back cover. | ||
3 Remove the old battery. | ||
4 Load a new battery into the | ||
unit so it’s positive k and | ||
negative l sides are fac- | ||
ing correctly. | ||
5 Replace the back cover | ||
and secure it in place with | ||
the six screws. | ||
6 Use a thin, pointed object | P button | |
to press the P button. Be | ||
sure not to skip this step. |
7 PressLto turn power on.
• Auto Power Off
Calculator power automatically turns off if you do not perform any operation for about six minutes. When this happens, press
kInput Ranges
Internal digits: 12
Accuracy: As a rule, accuracy is±1 at the 10th digit.
Functions | Input Range | |||||
sinx | DEG | 0 x 4.499999999 1010 | ||||
RAD | 0 x 785398163.3 | |||||
GRA | 0 x 4.499999999 1010 | |||||
cosx | DEG | 0 x 4.500000008 1010 | ||||
RAD | 0 x 785398164.9 | |||||
GRA | 0 x 5.000000009 1010 | |||||
tanx | DEG | Same as sinx, except whenx = | ||||
RAD | Same as sinx, except whenx = | |||||
GRA | Same as sinx, except whenx = | |||||
0 x 1 | ||||||
0 x 9.999999999 1099 | ||||||
sinhx | 0 x 230.2585092 | |||||
coshx | ||||||
0 x 4.999999999 1099 | ||||||
tanhx | 0 x 9.999999999 | |||||
log x/lnx | 0 x | |||||
10x | ||||||
ex | ||||||
0 x 1 10100 | ||||||
x | ||||||
x2 | x 1 1050 | |||||
1/x | x 1 10100 ;x G 0 | |||||
3 | x 1 10100 | |||||
x | ||||||
x! | 0 x 69 (x is an integer) |
Functions | Input Range | ||||||||
nPr | 0 n 99,r n (n,r is an integer) | ||||||||
1 | |||||||||
nCr | 0 n 99,r n (n,r is an integer) | ||||||||
Pol(x,y) | x ,y 9.999999999 1049 | ||||||||
(x2+y2) 9.999999999 1099 | |||||||||
Rec(r, ) | 0 r 9.999999999 1099 | ||||||||
θ: Same as sinx, cosx | |||||||||
a , b, c1 10100 | |||||||||
°’ ” | 0 b, c | ||||||||
x 1 10100 | |||||||||
Decimal ↔ Sexagesimal Conversions | |||||||||
000000 x 9999990590 | |||||||||
x 0: | |||||||||
y | x 0: y0 | 1 | |||||||
x | x 0: y n, | (n is an integer) | |||||||
2n+1 | |||||||||
However: | |||||||||
y 0: xG 0 | |||||||||
x | |||||||||
y 0: x0 | |||||||||
y | 1 | ||||||||
y 0: x2n1, | (n G 0;n is an integer) | ||||||||
n | |||||||||
However: | |||||||||
ab/c | Total of integer, numerator, and denominator | ||||||||
must be 10 digits or less (including division | |||||||||
marks). | |||||||||
x 1 1050 | |||||||||
y 1 1050 | |||||||||
SD | n 1 10100 | ||||||||
(REG) | x n,y n,o,p | ||||||||
A, B, r :n G 0 | |||||||||
x |
*Erros are cumulative with such internal continuous calculations as xy,x,x!, and3 x , so accuracy may be adversely affected.
Specifications
Power Supply:
Solar cell and a single G13 Type button battery (LR44)
Battery Life:
Approximately 2 years when left with power turned off.
Approximately 3 years when left with power turned off.
Approximately 3 years (1 hour use per day).
Dimensions:
10(H) 76(W) 150(D) mm 3/8 (H) 3 (W) 57/8 (D)
Weight:
Power Consumption: 0.0001W
Operating Temperature: 0°C ~ 40°C (32°F ~ 104°F)
CASIO ELECTRONICS CO., LTD.
Unit 6, 1000 North Circular Road,
London NW2 7JD, U.K.
CASIO COMPUTER CO., LTD.
E
User’s Guide
CASIO Worldwide Education Website
http://edu.casio.com
CASIO EDUCATIONAL FORUM
http://edu.casio.com/forum/
Printed in China |
1.ImportantInformation
•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.SampleOperations
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. Use the procedure under “3. Initializing the Calculator” to return the calculator to its initial default setup.
3.InitializingtheCalculator
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.
4.SafetyPrecautions
Battery
•Keep batteries out of the reach of small children.
•Use only the type of battery specified for this calculator in this manual.
5. HandlingPrecautions
•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
•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
•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.
•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. RemovingtheHardCase
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 O to 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 d and e to 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.
Indicators
Input expression
Calculation result
10. Specifying the Calculation Mode
When you want to perform this type of | Perform this key |
operation: | operation: |
General calculations | N1(COMP) |
Standard deviation | N2(SD) |
Regression calculations | N3(REG) |
300MS/350MS only) |
Note: • The initial default calculation mode is the COMP Mode.
• 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. Configuringthe 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 v symbol 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 ×
Norm: Selecting one of the two available settings (Norm 1, Norm 2) determines the range in which results will be displayed in nonexponential format. Outside the specified range, results are displayed using exponential format.
Norm 1:
e
b
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.
k 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.
12. Inputting Expressions andValues
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 (+,
• Whenever you input the 73rd step of any calculation, the cursor changes from “_” to “k” to let you know memory is running low.
k 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, ), |
RanInt#(a, b)* | |
Type A functions: With these functions, the value is | |
2nd | 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, 3e, 5A, πA, etc. | |
Type B functions: With these functions, the function key is | |
6th | pressed and then the value is entered. (', 3', log, ln, |
ex, 10x, 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 (+, |
k 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. BasicCalculations
k Fraction Calculations
2 | + | 1 | = 1 | 1 | 2 $3 +1 | $2 = 1{1{6. | |||
3 | 2 | 6 | |||||||
4 − 3 | 1 | = | 1 | 4 | $2 = 1{2. | ||||
2 | 2 |
Note: • Mixing fractions and decimal values in a calculation will cause the result to be displayed as a decimal value. • Fractions in calculation results are displayed after being reduced to their lowest terms.
To switch a calculation result between improper fraction and mixed fraction format: Press 1$(d/c).
To switch a calculation result between fraction and decimal format: Press $.
k 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.
If 300 grams are added to a test sample originally weighing 500 grams, what is the percentage increase in weight? (160%)
300+500!=(%) 160.
What is the percentage change when a value is increased from 40 to 46? (15%)
k 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°15°18.
(Converts sexagesimal to decimal.) $ 2.255 (Converts decimal to sexagesimal.) !$(←)2°15°18.
k
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.
k 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 = 1234. W1.234×103 W1234.×100
k Calculation History (Not included on the
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 f and c.
1 + 1 = 2 | 1 +1 = 2. | ||
2 + 2 = 4 | 2 +2 = 4. | ||
3 + 3 = 6 | 3 +3 = 6. | ||
(Scrolls back.) | f | 4. | |
(Scrolls back again.) | f | 2. |
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.
k Replay (Not included on the
While a calculation result is on the display, you can press d or 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 | 4.9 | ||||
(Continuing) | = |
k 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 | = | 12. | |
(Continuing) /30 | = | ||
123 + 456 = 579 | 123 +456 = | 579. | |
789 – 579 = 210 | (Continuing) 789 | 210. |
kVariables (A, B, C, D, E, F, X, Y)
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 | 8. |
(Continuing) ty(A) | |
To clear the contents of variable A | 0. |
0 1t(STO)y(A) |
k 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.
To clear the contents of M | ||
0. | ||
0 1t(STO)l(M) | ||
0 1n(Min) | 0. |
To add the result of 10 × 5 to M | 50. | |
(Continuing) 10 *5 l | ||
To subtract the result of 10 + 5 from M | 15. | |
(Continuing) 10 +5 | ||
To recall the contents of M | ||
35. | ||
(Continuing) tl(M) | ||
(Continuing) n | 35. |
Note: Variable M is used for independent memory.
k 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.
14. FunctionCalculations
π : π is displayed as 3.141592654, but π = 3.14159265358980 is used for internal calculations.
e
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, andg grads. Input a function from the menu that appears when you perform the following key operation: 1G(DRG').
See 3.
10x,ex : Exponential functions. See4.
log: Logarithmic function. See5.
ln: Natural logarithm to basee. See6.
x2, x3, ^(xy), ', 3', x', x−1 : Powers, power roots, and reciprocals. See7.
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Pol, Rec : Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates. See8.
Pol(x,y) = (r, ) | Rec(r, ) = (x,y) | Specify the angle unit |
before performing | ||
calculations. | ||
Calculation result θ is | ||
displayed in the range | ||
of −180° θ 180°. | ||
Rectangular | Polar | |
Coordinates (Rec) | Coordinates (Pol) |
x! : Factorial function. See9.
Ran# : Generates a
RanInt#
nPr, 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. See13.
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.
k Examples
1 | sin 30°= 0.5 | v | s30 = | 0.5 | |
sin−10.5 = 30° | v | 1s(sin−1) 0.5 = | 30. | ||
2 | sinh 1 = 1.175201194 | ws(sinh) 1 | = 1.175201194 | ||
w1c(cosh−1) 1 | = | 0. | |||
3 | π /2 radians = 90°, 50 grads = 45° v | ||||
(1E(π)/2 )1G(DRG')c(R)= | 90. | ||||
50 1G(DRG')d(G)= | 45. |
4 To calculatee5 × 2 to three significant digits (Sci 3)
N2(Sci)3 1i(ex) 5 *2 =2.97×102
5 log 1000 = 3 | l1000 = 3. |
6 To calculate ln 90 (= loge 90) to three significant digits (Sci 3)
N 2(Sci)3 | i90 | = 4.50×100 | ||
7 1.2 × 103 = 1200 | 1.2 *10 M3 | = | 1200. | |
(52)3 = 15625 | (5 x)W= | 15625. |
5 32 = 2 | 51M(x') 32 =2. | ||
To calculate | '2 × 3 | (= 3' = 4.242640687..) to three | |
2 | |||
decimal places (Fix 3) | |||
N 1(Fix)3 | 12 *3 = | 4.243 | |
8 To convert rectangular coordinates ('2 , '2 ) to polar | |||
coordinates v | |||
r92 ,92 )= r=2. | |||
~t(F) | = 45. |
•Press ~c(E) to display the value of r, or ~t(F) to display the value of .
r92 ((,)92 )= !q(y, )=
•Press !r(x,r)= to display the value ofr, or !q(y, )=to display the value of .
To convert polar coordinates ('2 , 45°) to rectangular coordinates v
!r(Rec( )92 ,45 = ~t(F)
•Press ~c(E) to display the value of x, or ~t(F) to display the value ofy.
•Press !r(x,r)= to display the value ofx, or !q(y, )=to display the value ofy.
9 | (5 + 3) ! = 40320 (5 +3 )1E(x!)= | 40320. | |
10 | To obtain two random | ||
1000 1.(Ran#)= | 459. | ||
= | 48. |
(Actual results will differ.)
11 To generate random integers in the range of 1 to 6
PLUS/220 PLUS only) | |
12(RanInt) 1 1((,) 6 )= | 2. |
= | 6. |
(Actual results will differ.)
12 To determine the number of permutations and combinations possible when selecting four people from a group of 10
Permutations: 10 1{(nPr) 4 =
Combinations: 10 {4 =
13 To perform the following calculations when Fix 3 is selected
for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3)
× 3
N 1(Fix)3 | 10 /3 *3 | = | 10.000 |
10 /3 =10(Rnd)*3 | = | 9.999 |
15. Statistical Calculations (SD,REG*)
To select this type of statistical | Perform this key | |
calculation: (Regression formula | ||
operation: | ||
shown in parentheses) | ||
,2(SD) | ||
,3(REG)1(Lin) | ||
regression | ( y = A + Bx) | |
,3(REG)2(Log) | ||
regression | ( y = A + Blnx) | |
,3(REG)3(Exp) | ||
exponential regression ( y = AeBx) | ||
,3(REG)e1(Pwr) | ||
regression | ( y = AxB) | |
,3(REG)e2(Inv) | ||
regression | ( y = A + B/x) | |
,3(REG)e3(Quad) | ||
regression | ( y = A + Bx + Cx2) |
k Inputting Data
•In the SD Mode and REG Mode, the l key operates as the 7 key.
•Always start data input with !,(CLR)b(Scl)= (rb(Scl)=on the
•Input data using the key sequence shown below. SD Mode:
REG Mode:
•77 inputs the same data twice.
•You can also input multiple entries of the same data using !,(;) (!)(;) on the
k Data Input Precautions
•While inputting data or after inputting data is complete, you can use the f and c keys to scroll through data you have input. If you input multiple entries of the same data using !,(;) (!)(;) on the
•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 A key first to exit data display.
•Pressing the 7 key 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 b if 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.
k Obtaining Statistical Values from Input Data
Supported statistical variables and the keys you should press to recall them are shown below.
Sum: Σx2, Σx, Number of Items:n, Mean:o, Population Standard Deviation:σx, Sample Standard Deviation:sx
!eto j
For
Sum: Σx2*, Σx*, Σy2, Σy, Σxy, Σx3, Σx2y, Σx4,Number of Items: n*
Σx2, Σx,n ...... | |
Σy2, Σy, Σxy .... | |
Σx3, Σx2y, Σx4 ... | |
Regression only) |
Mean: o*, p, Population Standard Deviation:σx*, σy, Sample Standard Deviation:sx*, sy
o, σx, sx .......
p, σy, sy ........
Regression Coefficients: A, B, Correlation Coefficient:r Regression Coefficients for Quadratic Regression:A, B, C
Estimated Values: m, n
Estimated Values for Quadratic Regression: m1, m2, n
•m,m1,m2 andn are not variables. They are commands of the type that take an argument immediately before them. See “Calculating Estimated Values” for more information.
1 | 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 7754 752 7 | ||
53.375 | ||
!i(σx)= 1.316956719 | ||
53.375 | ||
2 | ||
regression and logarithmic regression correlation | ||
coefficients (r) for the following | ||
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 | ||
0.923 | ||
,3(REG)2(Log) | ||
20 ,3150 7110 ,7310 7200 ,8800 7290 , | ||
9310 7 | ||
0.998 | ||
2357.532 |
Logarithmic Regression Formula: y =
k Calculating Estimated Values
Based on the regression formula obtained by
3 To determine the estimate value fory whenx = 160 in the regression formula produced by logarithmic regression of the data in2. Specify Fix 3 for the result. (Perform the
following operation after completing the operations in 2.) 160
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, Numberof
Digits,andPrecision
k Calculation Range and Precision
Calculation Range: ±1 ×
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.
k Function Calculation Input Ranges and Precision
Functions | Input Range | ||
sinx | DEG | 0 x 9 × 109 | |
RAD | 0 x 157079632.7 | ||
cosx | |||
GRA | 0 x 1 × 1010 | ||
DEG | Same as sinx, except when x = | ||
tanx | RAD | Same as sinx, except when x = | |
Same as sinx, except when x = | |||
GRA | |||
100. | |||
0 | x 1 | ||
0 | x 9.999999999 × 1099 | ||
sinhx | 0 | x 230.2585092 | |
coshx | |||
0 | x 4.999999999 × 1099 | ||
1 | x 4.999999999 × 1099 | ||
tanhx | 0 | x 9.999999999 × 1099 | |
0 | x 9.999999999 × | ||
logx/lnx | 0 | x 9.999999999 × 1099 | |
10x | |||
ex | |||
'x | 0 | x 1 × 10100 | |
x2 | x 1 × 1050 | ||
x 1 × 10100;x G 0 | |||
3'x | x 1 × 10100 | ||
x! | 0 | x 69 (x is an integer) | |
nPr | 0 | n 1 × 1010, 0r n (n,r are integers) | |
1 | |||
nCr | 0 | n 1 × 1010, 0r n (n,r are integers) | |
1 | n!/r! 1 × 10100 or 1 | ||
Pol(x,y) | x , y 9.999999999 × 1099 | ||
x2+ y2 | 9.999999999 × 1099 | ||
Rec(r, ) | 0 | r 9.999999999 × 1099 | |
: Same as sinx | |||
°’ ” | a ,b,c 1 × 10100; 0b,c | ||
The display seconds value is subject to an error of | |||
±1 at the second decimal place. | |||
x 1 × 10100 | |||
Decimal ↔ Sexagesimal Conversions | |||
0°0´0˝ x 9999999°59´ | |||
x 0: | |||
xy | x = 0:y 0 | ||
1 | |||
x | 0: y =n,2n+1 (n is an integer) | ||
However: | |||
y 0:x G 0, | |||
x | y = 0:x 0 | ||
'y | y 0:x = 2n+1,1 (n G 0;n is an integer) | ||
n | |||
However: | |||
ab/c | Total of integer, numerator, and denominator must | ||
be 10 digits or less (including division marks). | |||
RanInt#(a,b) | a b;a,b1 × 1010;b –a 1 × 1010 (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, sx, 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 d or e to 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
•Press A to 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
Casio Fx 82ms User Manual Free
Cause: Improper use of an argument.
Action: Make necessary corrections.
18. BeforeAssuming Malfunctionof 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 theBattery
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
2. Remove the cover as shown in the illustration and replace the battery, taking care that its plus (+) and minus
Screw | |||
Screw | Screw | Screw | Screw |
220 PLUS |
3. Replace the cover.
4. Initialize the calculator. See “3. Initializing the Calculator”.
• Do not skip the above step!
20. Specifications
Power Requirements:
× 1
Approximate Battery Life:
Power Consumption:
0.0001 W
Operating Temperature: 0°C to 40°C (32°F to 104°F)
Dimensions (H × W × D)/Approximate Weight (including the battery)
Casio Fx 82ms User Manual 2017
18.6 × 85 × 156 mm | 115 g | |
3/4 × 33/8 × 61/8 | (4.1 oz) | |
19.5 × 78 × 155 mm | 115 g | |
3/4 × 31/8 × 61/8 | (4.1 oz) | |
12.2 × 85 × 155 mm | 100 g | |
1/2 × 33/8 × 61/8 | (3.5 oz) | |
Manufacturer:
CASIO COMPUTER CO., LTD.
Responsible within the European Union: CASIO EUROPE GmbH
22848 Norderstedt, Germany
This mark applies in EU countries only.