Casio fx-500MS, fx-95MS User Manual

fx-95MSfx-500MS
π
'
'
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User’s Guide
CASIO Worldwide Education Website
http://edu.casio.com
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EEE Yönetmeli¤ine Uygundur
RJA526807-001V01 SA1208-A Printed in China
© 2012 CASIO COMPUTER CO., LTD.
1. Important Information
• 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.
O!N(CLR)3(All)=
4. Safety Precautions
Battery
• 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. 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.
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.
E
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.
Input expression
Calculation result
Indicators
10. Specifying the Calculation Mode
When you want to perform this type of operation:
General calculations
Standard deviation
Regression calculations
Equation solution
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.
Perform this key operation:
N1(COMP) N2(SD) N3(REG) NN1(EQN)
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 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 × 10
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.
–2
Norm 1: 10 Example: 1 ÷ 200 = 5 × 10–3 (Norm 1); 0.005 (Norm 2)
1a+bi 2r (EQN Mode only) Specifies either rectangular coordinates ( solutions. The “r
r) are selected.
( 1ab/c 2 d/c Specifies either mixed fraction (ab/c) or improper fraction (d/c) for display of fractions in calculation results.
1 Dot 2 C omma Sp ecifies whether to d isplay a dot or a comma fo r the calc ulation r esult dec imal poi nt. A dot is always displayed during input.
Dot: Period decimal point, comma separator Comma: Comma decimal point, period separator
| x |, | x | 10
a+bi) or polar coordinates (r) for EQN Mode
” indicator is displayed while polar coordinates
Initializing Calculation Mode and Setup
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To return the calculation mode and setup to the initial defaults shown below, press O!N(CLR)2(Mode)=.
Calculation Mode: COMP Angle Unit: Deg Exponential Display Format: Norm 1
–1
(Sci 5)
10
Norm 2: 10
b
d
e
–9
| x |, | x | 10
a+b i rθ
d
10
e
Fraction Display Format: a b/c Decimal Point Character: Dot
12. Inputting Expressions and Values
4 × sin30 × (30 + 10 × 3) = 120 v 4 *s 30 *( 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 key operation does not take up a step, so inputting !W( 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
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When the priority of two expressions is the same, the calculation is performed from left to right.
1st
Function with parentheses: Pol(
Type A functions: With these functions, the value is
2nd
entered and then the function key is pressed. (
x!, ° ’ ”, m, m
3rd
Powers and roots: ^(
, m2, n, °, r, g)
1
x
y
), x'
x, y), Rec(r, )
4th Fractions
Implied multiplication of π,
5th
memory name, or variable name: 2π, 3
Type B functions: With these functions, the function key is pressed and then the value is entered. (',
6th
x
e
, 10x, sin, cos, tan, sin−1, cos−1, tan−1, sinh, cosh, tanh,
−1
, cosh−1, tanh−1, (−))
sinh
7th
Implied multiplication of Type B functions: 2'3, Alog2, etc.
e (natural logarithm base),
e, 5A, πA, 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)
Making Corrections During Input
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• Use d and e to move the cursor to the location you want.
• Press D to delete the number or function at the current cursor position.
Press !D(INS) to change to an insert cursor t . Inputting something while the insert cursor is on the display inserts the input at the insert cursor position.
• Pressing !D(INS), or = returns to the normal cursor from the insert cursor.
4
= 16; –24 = –16
13. Basic Calculations
Fraction Calculations
k
2 + 1 = 1 3 2 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
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150 × 20% = 30 150 * 20 1=(%) 30.
Calculate what percentage of 880 is 660. (75%) 660 / 880 1=(%)
Increase 2500 by 15%. (2875) 2500 * 15 1=(%)+
Discount 3500 by 25%. (2625) 3500 * 25 1=(%)-
Discount the sum of 168, 98, and 734 by 20%. (800) 168 + 98 + 734 =G1~(STO)-(A)
a-(A)** 20 1=(%)- * 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.
300 grams are added to a test sample originally weighing
500 grams, producing a final test sample of 800 grams. What percent of 500 grams is 800 grams? (160%)
300+500!=(%)
What is the percentage change when a value is increased
from 40 to 46? (15%)
46 -40 !=(%)
2 $ 3 + 1 $ 2 = 1{1{6.
1
3
'), for
3
x
, x2, x−1,
3
', log, ln,
75.
2875.
2625.
800.
160.
15.
Degree, Minute, Second (Sexagesimal)
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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 $=
Convert 2°15´18˝ to its decimal equivalent. 2 $ 15 $ 18 $=$ (Converts decimal to sexagesimal.) !$() 2°15°18.
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Multi-Statements
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
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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
W 1234.×10
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Calculation History
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 2 + 2 = 4 3 + 3 = 6 1 + 1 = 2 + 2 = 3 + 3 = (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.
Replay
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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 (Continuing) dYYYY- 7.1 = 4.9
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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. In addition to =, Ans memory contents are also updated with result whenever you press !=(%), m, !m(M–), or !~(STO) followed by a letter (A through F, or M, X, or Y).
To divide the result of 3 × 4 by 30 3 * 4 = (Continuing) / 30 =
123 + 456 = 579 123 + 456 = 789 – 579 = 210 (Continuing) 789 -G= 210.
Variables (A, B, C, D, E, F, X, Y)
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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 =
To recall the contents of variable A (Continuing) ty(A)
To clear the contents of variable A 0 1t(STO) y(A) 0.
Independent Memory (M)
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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 1t(STO)l(M)
3°0°0.
2.255
1.234×10
579.
80.
To add the result of 10 × 5 to M (Continuing) 10 * 5 l
To subtract the result of 10 + 5 from M (Continuing) 10 + 5 1l(M–) 15.
To recall the contents of M (Continuing) tl(M)
Note: Variable M is used for independent memory.
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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.
50.
35.
p!,(CLR)1(Mcl)=
14. Function Calculations
: π is displayed as 3.141592654, but π = 3.14159265358980 is
used for internal calculations.
e: e is displayed as 2.718281828, but e = 2.71828182845904 is
used for internal calculations.
sin, cos, tan, sin
the angle unit before performing calculations. See
sinh, cosh, tanh, sinh
angle unit setting does not affect calculations. See
r
g
°,
,
: These functions specify the angle unit. ° specifies degrees,
3
0
6.
r
radians, and g grads. Input a function from the menu that appears
when you perform the following key operation: 1G(DRG ').
See
x
10
, ex : Exponential functions. See 4.
log
: Logarithmic function. See 5.
ln
: Natural logarithm to base e . See 6.
2
x
, x3, ^(xy),
reciprocals. See
Pol, Rec : Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates. See
Pol(
x, y) = (r, ) Rec(r, ) = (x, y)
Rectangular Coordinates (Rec)
x ! : Factorial function. See
Ran# : Generates a 3-digit pseudo random number that is less than
1. See
nPr, nCr : Permutation (nPr) and combination (nCr) functions. See
.
11
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
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.
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Examples
11
sin 30°= 0.5 v s 30 = 0.5
sinh 1 = 1.175201194 ws(sinh) 1 = 1.175201194
22
33
π /2 radians = 90°, 50 grads = 45° v
(1E( π ) / 2 )1G(DRG ') c(R) = 90.
−1
−1
, tan
−1
, cosh
x
3
,
'
'
.
Polar Coordinates (Pol)
9
−1
: Trigonometric functions. Specify
−1
, tanh
, x
.
.
12
, cos
.
3
,
'
7
.
8
.
10
−1
sin
0.5 = 30° v 1s(sin
–1
cosh
1 = 0 w1c(cosh
.
−1
: Hyperbolic functions. The
−1
: Powers, power roots, and
1
.
2
Specify the angle unit before performing calculations. Calculation result displayed in the range of −180°
−1
) 0.5 = 30.
−1
) 1 = 0.
θ
180°.
θ
is
50 1G(DRG ') d(G) = 45.
44
To calculate e
N 2(Sci) 3 1i( e x ) 5 * 2 = 2.97×10
55
log 1000 = 3 l 1000 = 3.
8.
0.
66
To calculate ln 90 (= loge 90) to three significant digits (Sci 3)
N 2(Sci) 3 i 90 = 4.50×10
77
1.2 × 103 = 1200 1.2 * 10 W= 1200.
(–52)3 = –15625 (- 5 x)M 3 = –15625.
5
32 To calculate decimal places (Fix 3)
N
5
× 2 to three significant digits (Sci 3)
= 2 51M(x') 32 = 2.
(= 3
= 4.242640687...) to three
2 × 3
'
2
'
1(Fix)3 1 2 * 3 = 4.243
2
0
88
'
To convert rectangular coordinates (
coordinates v r9 2 ,9 2 )=
'
2
,
'
) to polar
2
~t(F) = 45.
• Press ~c(E) to display the value of r, or ~t(F) to
display the value of .
To convert polar coordinates ( coordinates v
, 45°) to rectangular
'
2
!r(Rec( )9 2 , 45 = ~t(F) y = 1.
• Press ~c(E) to display the value of x, or ~t(F) to
display the value of
99
(5 + 3) ! = 40320 ( 5 + 3 )1E(
1010
To obtain two random three-digit integers
1000 1.(Ran#) = 459. = 48.
1111
To determine the number of permutations and combinations
possible when selecting four people from a group of 10 Permutations: 10 1{( n P r ) 4 = 5040.
y.
x!)= 40320.
(Actual results will differ.)
Combinations: 10 {4 = 210.
1212
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 calculation:
(Regression formula shown in parentheses)
Single-variable (X)
Paired-variable (X, Y), linear regression (
Paired-variable (X, Y), logarithmic regression (
Paired-variable (X, Y), regression (
Paired-variable (X, Y), power regression (
Paired-variable (X, Y), inverse regression (
Paired-variable (X, Y), quadratic regression (
Inputting Data
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• In the SD Mode and REG Mode, the l key operates as the 7
key.
• Always start data input with !,(CLR) b(Scl) = to clear
statistical memory.
• 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
!,(;).
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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 !,(;) 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 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 f and c by 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 c to 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.
e exponential
x -data> 7
x -data> , < y -data> 7
y = A + Bx)
y = A + Blnx)
y = A + B/x)
y = A + Bx + Cx
y = Ae
y = Ax
Perform this key operation:
,2(SD) ,3(REG)
1(Lin) ,3(REG)
2(Log)
,3(REG)
B
x
3(Exp)
)
,3(REG)
B
)
e1(Pwr) ,3(REG)
e2(Inv) ,3(REG)
2
)
e3(Quad)
r = 2.
x = 1.
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
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Supported statistical variables and the keys you should press to recall them are shown below. For single-variable statistical calculations, the variables marked with an asterisk (*) are available.
2
x
*, Σ x *, Σ y 2 , Σ y , Σ xy , Σ x 3 , Σ x
Sum: Σ
2
x
, Σ x , n ........... !b(S-SUM) b to d
Σ
2
y
, Σ y , Σ xy ........ !b(S-SUM) e b to d
Σ
3
2
4
x
, Σ x
y , Σ x
Σ
Mean: o*, p, Population Standard Deviation: σ Standard Deviation: s
o, σx, sx .............. !c(S-VAR) b to d
p, σ
Regression Coefficients: A, B, Correlation Coefficient: r Regression Coefficients for Quadratic Regression: A, B, C
!c(S-VAR)ee b to d
Estimated Values: m, n Estimated Values for Quadratic Regression: m
!c(S-VAR) eee b to c (or d)
m, m
that take an argument immediately before them. See “Calculating Estimated Values” for more information.
To calculate the mean (o) and population standard
..... !b(S-SUM) ee b to d (Quadratic
Regression only)
*, s
x
, sy ............... !c(S-VAR)e b to d
y
1
, m2 and n are not variables. They are commands of the type
11
deviation (σ 54, 52
) for the following data: 55, 54, 51, 55, 53, 53,
x
2
4
y , Σ x
, Number of Items: n *
*, σy, Sample
1
, m2 , n
x
y
,c(SD) 55 7 54 7 51 7 55 7 53 77 54 7 52 7 !c(S-VAR)b(o)= !c(S-VAR)c(σx)= 1.316956719
2 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) , 20, 3150 7 110 , 7310 7 200 , 8800 7 290 , 9310 7 !2(S-VAR) ee3(r) =
1(Fix) 3
53.375
0.923
,3(REG) 2(Log) 20 , 3150 7 110 , 7310 7
200 , 8800 7 290 , 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
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Based on the regression formula obtained by paired-variable statistical calculation, the estimated value of
x -value. The corresponding x -value (two values, x
a given the case of quadratic regression) also can be calculated for a value
y in the regression formula.
of
To determine the estimate value for x when y = –130 in the
33
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.)
(- 130 )12(S-VAR)eee1(m)=
Important: Regression coefficient, correlation coefficient, and estimated value calculations can take considerable time when there are a large number of data items.
y can be calculated for
1
and x 2 , in
4.861
16. Equation Calculations (EQN)
The EQN Mode lets you solve equations up to three degrees and simultaneous linear equations with up to three unknowns.
1. Press NN1(EQN) to enter the EQN Mode.
2. On the menu that appears, select an equation type.
nknowns?
U
2 3
To select this calculation type: Press this key:
Simultaneous linear equations with two unknowns (a
Simultaneous linear equations with three unknowns (a
n
x + bny = cn)
n
x + bny + cnz = dn)
Quadratic equation (ax
Cubic equation (ax
3. Use the Coefficient Editor that appears to input coefficient values.
• To solve 2 then input the following for the coefficients ( 2 =1=- 3.
2
x
+ x – 3 = 0, for example, press e2 in step 2, and
e
d
2
+ bx + c = 0)
3
+ bx2 + cx + d = 0)
D
egr ee?
2 3
2
3
e2 e3
a = 2, b = 1, c = –3):
Any time until you input a value for the final coefficient (c for a
quadratic equation, and c keys to move between coefficients on the screen and make changes, if you want.
Note that you cannot input complex numbers for coefficients.
Important: The following operations are not supported by the
Coefficient Editor: m, 1m(M–), 1t(STO). Pol, Rec, and multi-statements also cannot be input with the Coefficient Editor.
4. After all the values are the way you want, press =.
This will display a solution. Each press of = will display another solution. Pressing = while the final solution is displayed will return to the Coefficient Editor.
You can scroll between the solutions using the c and f keys.
To return to the Coefficient Editor while any solution is displayed, press A.
Note: Values cannot be converted to engineering notation on the solution screen.
Changing the Current Equation Type Setting
k
Press NN1(EQN) and then select an equation type from the menu that appears. Changing the equation type causes the values of all Coefficient Editor coefficients to change to zero.
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EQN Mode Calculation Examples
d for a cubic equation), you can use the f
xy + z = 2, x + yz = 0, –x + y + z = 4 NN1(EQN)3
1 =- 1 = 1 = 2 = 1 = 1 =- 1 =0 =
- 1 = 1 = 1 = 4
Arrow indicates direction you should
scroll to view other elements.
Coefficient name
a1 ?
0.
Element value
= (x=) 1 c (y=) 2 c (z=) 3
8x2 − 4x + 5 = 0 (x = 0.25 ± 0.75i)
NN1(EQN)e2 8 =- 4 = 5 =
(x1=) 0.25
!=(ReIm) (x1=) 0.75i c (x2=) 0.25 !=(ReIm) (x2=) −0.75i
If a result is a complex number, the real part of the first solution
appears first. Press !=(ReIm) to toggle the display between the real part and imaginary part of a solution.
3
x
– 2x2x + 2 = 0
NN1(EQN)e3 1 =- 2 =- 1 = 2 =
(x1=) 2
c (x2=) –1 c (x3=) 1
17. Calculation Ranges, Number of Digits, and Precision
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Calculation Range and Precision
Calculation Range: ±1 × 10 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.
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Function Calculation Input Ranges and Precision
Functions
DEG
x
sin
RAD
cosx
GRA
DEG
RAD
tanx
GRA
–1
sin
x
0 x 1
–1
cos
x
–1
tan
x 0 x 9.999999999 ҂ 10
sinhx
0 x 230.2585092
cosh
x
–1
sinh
x 0 x 4.999999999 ҂ 10
–1
cosh
x 1 x 4.999999999 ҂ 10
tanhx 0 x 9.999999999 ҂ 10
–1
tanh
x 0 x 9.999999999 ҂ 10
logx/lnx 0 x 9.999999999 ҂ 10
x
10
–9.999999999 ҂ 1099 x 99.99999999
x
e
–9.999999999 ҂ 1099 x 230.2585092
0 x 1 ҂ 10
x
'
–99
to ±9.999999999 × 10
Input Range
x| 9 × 10
0 |
x| 157079632.7
0 |
0 |x| 1 × 10
Same as sin
Same as sin
Same as sin
x, except when x = (2n−1) ҂ 90.
x, except when x = (2n−1) ҂ π/2.
x, except when x = (2n−1) ҂ 100.
100
99
or 0
9
10
99
99
99
99
–1
99
x
3
x
'x
2
–1
x앚 쏝 1 ҂ 10
x앚 쏝 1 ҂ 10
x 1 ҂ 10
50
100
100
; x G 0
x!0 x 69 (x is an integer)
10
n 1 ҂ 10
0
nPr
1 {n!/(nr)!} 1 ҂ 10
n 1 ҂ 10
0
nCr
1 n!/r! 1 ҂ 10
x, y 9.999999999 ҂ 10
Pol(x, y)
Rec(r, )
^(xy)
2
+ y2
x
0 r 9.999999999 ҂ 10 : Same as sinx
a, b, c 1 ҂ 10
°’ ”
The display seconds value is subject to an error of ±1 at the second decimal place.
x 1 ҂ 10
Decimal Sexagesimal Conversions 0°0°0° x 9999999°59°
x 0: –1 ҂ 10 x = 0: y 0 x 0: y = n,
However: –1
y
0: x G 0, –1 ҂ 10
y = 0: x 0
x
'y
y 0: x = 2n+1,
However: –1
Total of integer, numerator, and denominator must be
b
c
a
/
10 digits or less (including division marks).
x 1 ҂ 10
SD
σx, σy, o, p : n G 0
(REG)
sx, sy, A, B, r : n G 0, 1
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.
y
x
y
x
),
^(
Error is cumulative and tends to be large in the vicinity of a function’s
During statistical calculation, error is cumulative when data values
, 3', x!, nPr, nCr; °, r, g (angle unit: radians); σx, sx,
regression coefficient.
singular point and inflection point.
have a large number of digits and the differences between data values is small. Error will be large when data values are greater than six digits.
, 0 r n (n, r are integers)
100
10
, 0 r n (n, r are integers)
100
or 1 n!/(nr)! 1 ҂ 10
9.999999999 ҂ 10
100
; 0 b, c
100
100
ylogx 100
1
(n is an integer)
+1
2
n
100
҂ 10
ylogx 100
100
1/x logy 100
1
(n G 0; n is an integer)
n
100
҂ 10
1/x logy 100
50
; y 1 ҂ 1050; n 1 ҂ 10
100
99
99
99
100
18. 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.
• 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.
19. 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 Calculation Mode and Setup”.
20. 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.
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
3. Replace the cover.
4. Initialize the calculator. See “3. Initializing the Calculator”.
Do not skip the above step!
21.Specifications
Power Requirements: AA-size battery R6P (SUM-3) × 1
Approximate Battery Life: 17,000 hours (continuous display of
Power Consumption: 0.0001 W
Operating Temperature: 0°C to 40°C (32°F to 104°F)
Dimensions: 19.5 (H) × 78 (W) × 155 (D) mm
3
/4 (H) × 31/16⬙ (W) × 61/8⬙ (D)
Approximate Weight: 130 g (4.6 oz) including battery
This mark applies in EU countries only.
flashing cursor)
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
RJA526807-001V01
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