fx-95MS fx-100MS fx-115MS (fx-912MS) fx-570MS fx-991MS User's Guide kfx-912MS owners Please be sure to read the important notice of this manual. E http://world.casio.
CASIO ELECTRONICS CO., LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U.K.
Removing and Replacing the Calculator’s Cover • Before starting .....1 Holding the cover as shown in the illustration, slide the unit out of the cover. • After you are finished .....2 Holding the cover as shown in the illustration, slide the unit out of the cover. • Always slide the keyboard end of the unit into the cover first. Never slide the display end of the unit into the cover. .....1 .....
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 battery from the calculator, put it in a safe place where it will not get into the hands of small children and accidentally swallowed. • Keep batteries out of the reach of small children.
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.
• 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 conditions 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 tight-fitting clothing where it might be subjected to twisting or bending.
Contents Removing and Replacing the Calculator’s Cover ................................... 1 Safety Precautions .................................. 2 Handling Precautions ............................. 3 Two-line Display ...................................... 7 Before getting started... .......................... 7 kModes .................................................................... 7 kInput Capacity ........................................................ 8 kMaking Corrections During Input ...........
kCommon and Natural Logarithms/ Antilogarithms ...................................................... 19 kSquare Roots, Cube Roots, Roots, Squares, Cubes, Reciprocals, Factorials, Random Numbers, π, and Permutation/Combination .................................... 20 kAngle Unit Conversion ......................................... 21 kCoordinate Conversion (Pol (x, y), Rec (r, )) ..... 21 kEngineering Notation Calculations ...................... 22 Equation Calculations ..........................
Two-line Display The two-line display makes it possible to view both the calculation formula and its result at the same time. • The upper line shows the calculation formula. • The lower line shows the result. A separator symbol is displayed every three digits when the integer part of the mantissa has more than three digits. Before getting started... k Modes Before starting a calculation, you must first enter the correct mode as indicated in the table below.
• Pressing the F key more than twice displays additional setup screens. Setup screens are described in the sections of this manual where they are actually used to change the calculator setup. • In this manual, the name of the mode you need to enter in order to perform the calculations being described is indicated in the main title of each section. Example: Equation Calculations EQN Note! • To return the calculation mode and setup to the initial defaults shown below, press A B 2(Mode) =.
k Making Corrections During Input • Use e and r to move the cursor to the location you want. • Press [ to delete the number or function at the current cursor position. • Press A K 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 A K, or = returns to the normal cursor from the insert cursor.
k Multi-statements A multi-statement is an expression that is made up of two or more smaller expressions, which are joined using a colon ( : ). • Example: To add 2 + 3 and then multiply the result by 4 2+3p\g-4= = 2+3 Ans×4 5. Disp 20. k Exponential 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.
k Decimal Point and Separator Symbols You can use the display setup (Disp) screen to specify the symbols you want for the decimal point and 3-digit separator. • To change the decimal point and separator symbol setting, press the F key a number of times until you reach the setup screen shown below. Disp 1 • Display the selection screen. fx-95MS: 1r Other Models: 1 r r • Press the number key ( 1 or 2) that corresponds to the setting you want to use.
• It is not necessary to enclose a negative exponent within parentheses. sin 2.34 10–5 → S 2.34 e D 5 • Example 1: 3 (5 10–9) 1.5 10–8 3-5eD9= • Example 2: 5 (9 7) 80 5-R9+7T= • You can skip all T operations before =. k Fraction Operations uFraction Calculations • Values are displayed in decimal format automatically whenever the total number of digits of a fractional value (integer + numerator + denominator + separator marks) exceeds 10.
• Example 1: 2.75 2 • Example 2: 3 (Decimal → Fraction) 4 2.75 = 2.75 11 4 C 2 3 4.00 AB 11 4.00 1 ↔ 0.5 (Fraction ↔ Decimal) 2 1C2= 1 2.00 C 0.500 C 1 2.00 uMixed Fraction ↔ Improper Fraction Conversion • Example: 1 2 5 ↔ 3 3 1C2C3= 1 2 3.00 AB 5 3.00 AB 1 2 3.00 • You can use the display setup (Disp) screen to specify the display format when a fraction calculation result is greater than one.
• An error occurs if you try to input a mixed fraction while the d/c display format is selected.
k 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 and then back to a decimal value 2.258 = 2.258 AO 2°15°28.8 I 2.258 • Example 2: To perform the following calculation: 12°34’56” 3.45 12 I 34 I 56 I - 3.45 = 43°24°31.
(Internal calculation continues using 12 digits.) 200 \ 7 = 28.57100 - 14 = 400.00000 The following performs the same calculation using the specified number of decimal places. 200 \ 7 = 28.57100 AQ 28.57100 - 14 = 399.99400 (Internal rounding) • Press F ..... 3(Norm) 1 to clear the Fix specification. • Example 2: 1 3, displaying result with two significant digits (Sci 2) F..... 2(Sci) 2 1 \ 3 = SCI 3.3–01 • Press F ..... 3(Norm) 1 to clear the Sci specification.
• 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 updated if the operation performed by any of the above key operations results in an error. k Consecutive Calculations • You can use the calculation result that is currently on the display (and also stored in Answer Memory) as the first value of your next calculation.
particular variable: 0 A j 1. This operation deletes the data assigned to variable A. • Perform the following key operation when you want to clear the values assigned to all of the variables. A B 1(Mcl) = • Example: 193.2 23 8.4 193.2 28 6.9 193.2 A j 1 \ 23 = p 1 \ 28 = Scientific Function Calculations COMP Use the F key to enter the COMP Mode when you want to perform basic arithmetic calculations. COMP .............................................................
• Example 1: sin 63 °52 41 0.897859012 q ..... 1(Deg) S 63 I 52 I 41 I = • Example 2: cos ( π rad 0.5 3 ) q ..... 2(Rad) WRAx\3T= • Example 3 : cos 1 2 π (rad) 0.25 π (rad) 2 4 ( ) q ..... 2 (Rad) AVRL2\2T=g\Ax= • Example 4: tan 1 0.741 36.53844577 ° q ..... 1(Deg) A g 0.741 = k Hyperbolic/Inverse Hyperbolic Functions • Example 1: sinh 3.6 18.28545536 M S 3.6 = • Example 2: sinh 1 30 4.094622224 M A j 30 = k Common and Natural Logarithms/ Antilogarithms • Example 1: log 1.
k Square Roots, Cube Roots, Roots, Squares, Cubes, Reciprocals, Factorials, Random Numbers, π, and Permutation/Combination 2 3 5 5.287196909 • Example 1: L2+L3-L5= • Example 2: 3 • Example 3: 7 3 5 27 –1.290024053 A D 5 + A D R D 27 T = 1 123 ( = 123 7 ) 1.988647795 7 A H 123 = • Example 4: 123 302 1023 123 + 30 K = 12 N * = • Example 5: 123 1728 * A N in the case of fx-570MS/fx-991MS.
* A n in the case of fx-100MS/fx-115MS/fx-570MS/ fx-991MS. k Angle Unit Conversion • Press A v to display the following menu. R G 1 2 D 3 • Pressing 1, 2, or 3 converts the displayed value to the corresponding angle unit. • Example: To convert 4.25 radians to degrees q ..... 1(Deg) 4.25 A v 2(R) = 4 . 25 r 243.5070629 k Coordinate Conversion (Pol (x, y), Rec (r, θ )) • Calculation results are automatically assigned to variables E and F.
k Engineering Notation Calculations • Example 1: To convert 56,088 meters to kilometers → 56.088 10 3 (km) 56088 = J • Example 2: To convert 0.08125 grams to milligrams → 81.25 10 –3 (mg) 0.08125 = J Equation Calculations EQN The EQN Mode lets you solve equations up to three degrees and simultaneous linear equations with up to three unknowns. Use the F key to enter the EQN Mode when you want to solve an equation. EQN ..........................
• Any time until you input a value for the final coefficient (c for a quadratic equation, d for a cubic equation), you can use the [ and ] keys to move between coefficients on the screen and make changes, if you want. • Note that you cannot input complex numbers for coefficients. Calculation starts and one of the solutions appears as soon as you input a value for the final coefficient. Variable name x1= 0. Arrow indicates direction you should scroll to view other solutions.
R⇔I D x 1= 0.25 Ar D x 1= R⇔I 0.75 i • Example 2: To solve the equation 8x2 – 4x + 5 = 0 ( x = 0.25 ± 0.75 i) (Degree?) 2 (a?) 8= (b?) D4= 5= ] (c?) (x1 = 0.25 + 0.75i) (x2 = 0.25 – 0.75i) k Simultaneous Equations Simultaneous Linear Equations with Two Unknowns: a1x + b1y = c1 a2x + b2y = c2 Simultaneous Linear Equations with Three Unknowns: a1x + b1y + c1z = d1 a2x + b2y + c2z = d2 a3x + b3y + c3z = d3 Entering the EQN Mode displays the initial simultaneous equation screen.
• Any time until you input a value for the final coefficient (c2 for two unknowns, d3 for three unknowns), you can use the [ and ] keys to move between coefficients on the screen and make changes, if you want. • Note that you cannot input complex numbers for coefficients. Calculation starts and one of the solutions appears as soon as you input a value for the final coefficient. Variable name x= 0. Arrow indicates direction you should scroll to view other solutions.
SD Statistical Calculations REG Standard Deviation SD Use the F key to enter the SD Mode when you want to perform statistical calculations using standard deviation. SD .................................... F 2 (fx-95MS) F F 1 (Other Models) • Always start data input with A B 1 (Scl) = to clear statistical memory. • Input data using the key sequence shown below. S • Input data is used to calculate values for n, Σx, Σx2, o, σn and σn-1, which you can recall using the key operations noted nearby.
Population Standard Deviation (σn) = 1.316956719 Arithmetic Mean (o) = 53.375 Number of Data (n) = 8 Sum of Values (Σx) = 427 Sum of Squares of Values (Σx 2 ) = 22805 AX2= AX1= AU3= AU2= AU1= Data Input Precautions • S S inputs 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 110 A G 10 S. • You can perform the above key operations in any order, and not necessarily that shown above.
Press 2 to exit data input without registering the value you just input. Press 1 if you want to register the value you just input, without saving it in memory. If you do this, however, you will not be able to display or edit any of the data you have input. • To delete data you have just input, press A U. • 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.
• Always start data input with A B 1 (Scl) = to clear statistical memory. • Input data using the key sequence shown below. P S • 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.
• The values in the above tables can be used inside of expressions the same way you use variables. u Linear Regression • The regression formula for linear regression is: y = A + Bx. • Example: Atmospheric Pressure vs. Temperature Temperature Atmospheric Pressure 10°C 15°C 20°C 25°C 30°C 1003 hPa 1005 hPa 1010 hPa 1011 hPa 1014 hPa Perform linear regression to determine the regression formula terms and correlation coefficient for the data nearby.
Temperature at 1000 hPa = 4.642857143 1000 A X r r r 1 = Coefficient of Determination = 0.965517241 AXrr3K= EAUr3, AU3-AX1AXr1F\ EAU3,1F= Sample Covariance = 35 u Logarithmic, Exponential, Power, and Inverse Regression • Use the same key operations as linear regression to recall results for these types of regression. • The following shows the regression formulas for each type of regression.
Regression Coefficient A = –35.59856934 Regression Coefficient B = 1.495939413 Regression Coefficient C = – 6.71629667 AXrr1= AXrr2= 10 –3 AXrr3= n when xi is 16 = –13.38291067 16 A X r r r 3 = m1 when yi is 20 = 47.14556728 20 A X r r r 1 = m2 when yi is 20 = 175.5872105 20 A X r r r 2 = Data Input Precautions • S S 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 30 A G 5 S.
the display. Press t to clear the error, or press e or r to display the calculation and correct the problem. See “Error Locator” for details. Math ERROR • Causes • Calculation result is outside the allowable calculation range. • An attempt to perform a function calculation using a value that exceeds the allowable input range. • An 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.
• Action • Press e or r to display the location of the cause of the error and make required corrections. k Order of Operations Calculations are performed in the following order of precedence. 1 Coordinate transformation: Pol (x, y), Rec (r, θ ) Differentials: d/dx* Integrations: ∫dx* Normal distribution: P(*, Q(*, R(* 2 Type A functions: With these functions, the value is entered and then the function key is pressed.
* fx-100MS/fx-115MS/fx-570MS/fx-991MS only. ** fx-570MS/fx-991MS only. • Operations of the same precedence are performed from right to left. exIn 120 → ex{In( 120)} • Other operations are performed from left to right. • Operations enclosed in parentheses are performed first. • When a calculation contains an argument that is a negative number, the negative number must be enclosed within parentheses.
• Calculations are performed in sequence according to “Order of Operations.” Commands and values are deleted from the stack as the calculation is performed. k Input Ranges Internal digits: 12 Accuracy*: As a rule, accuracy is ±1 at the 10th digit. Functions sinx Input Range DEG 0 x 4.499999999 1010 RAD 0 x 785398163.3 GRA 0 x 4.999999999 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 when x = (2n-1) 90.
Functions x x2 1/x 3 x x! Input Range 0 x x x x 1 10100 1 1050 1 10100 ; x G 0 1 10100 0 x 69 (x is an integer) nPr 0 n 1 1010, 0 r n (n, r are integers) 1 {n!/(n–r)!} 1 10100 nCr 0 n 1 1010, 0 r n (n, r are integers) 1 [n!/{r!(n–r)!}] 1 10100 49 Pol(x, y) x , y 9.999999999 10 (x2+y2) 9.999999999 1099 99 Rec(r, ) 0 r 9.
* For a single calculation, calculation error is ±1 at the 10th digit. (In the case of exponential display, calculation error is ±1 at the last significant digit.) Errors are cumulative in the case of consecutive calculations, which can also cause them to become large. (This is also true of internal consecutive calculations that are performed x 3 in the case of ^(x y), y , x!, , nPr, nCr, etc.
u Auto Power Off Calculator power automatically turns off if you do not perform any operation for about six minutes. When this happens, press 5 to turn power back on. Specifications (fx-95MS only) Users of other models should refer to the “User’s Guide 2 (Additional Functions).” Power Supply: Single AA-size battery (R6P (SUM-3)) Battery Life: Approximately 17,000 hours continuous display of flashing cursor. Approximately 2 years when left with power turned off. Dimensions: 19.
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