EN fx-95MS fx-500MS (2nd edition / S-V.P.A.M.) User’s Guide CASIO Worldwide Education Website https://edu.casio.com Manuals are available in multi languages at https://world.casio.
Table of Contents Before Using the Calculator.................................................... 3 About this Manual.................................................................................... 3 Initializing the Calculator.......................................................................... 3 Precautions.............................................................................................. 3 Getting Started.................................................................................
Pi ( π ).............................................................................................................23 Natural Logarithm Base e ............................................................................ 23 Trigonometric Functions, Inverse Trigonometric Functions................... 23 Trigonometric Functions................................................................................23 Inverse Trigonometric Functions...................................................................
Before Using the Calculator About this Manual • 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.
Handling Precautions • Even if the calculator is operating normally, replace the battery according to the schedule shown below. Continued use after the specified number of years may result in abnormal operation. Replace the battery immediately after display figures become dim. fx-95MS/fx-500MS: Every two years • A dead battery can leak, causing damage to and malfunction of the calculator. Never leave a dead battery in the calculator.
Turning Power On and Off • Press • Press to turn on the calculator. (OFF) to turn off the calculator. Note • The calculator also will turn off automatically after approximately 10 minutes of nonuse. Press the key to turn the calculator back on. Adjusting Display Contrast . 1. Press • This displays the display setup screen. 2. Press . 3. Use and to adjust display contrast. 4. After the setting is the way you want, press .
If key marking text is this color: It means this: Yellow Press and then the key to access the applicable function. Red Press and then the key to input the applicable variable, constant, function, or symbol. Blue (or enclosed in blue brackets) Enter the SD Mode and REG Mode to access the function. • The following shows an example of how an alternate function operation is represented in this manual. Example: (sin-1)* 1 * Indicates the function that is accessed by the key operation ( ) before it.
(1) Calculation formula (2) Calculation result (3) Indicators • The table below describes some of the typical indicators that appear at the top of the screen (3). This indicator: Means this: The keypad has been shifted by pressing the key. The keypad will unshift and this indicator will disappear when you press a key. The alpha input mode has been entered by pressing the key. The alpha input mode will be exited and this indicator will disappear when you press a key.
Calculation Modes and Calculator Setup Calculation Mode Before starting a calculation, you must first enter the correct mode as indicated in the table below. When you want to perform this type of operation: Perform this key operation: General calculations (COMP) Standard deviation (SD) Regression calculations (REG) Equation solution (EQN) Note • The initial default calculation mode is the COMP Mode. • Mode indicators appear in the upper part of the display.
Fix Sci Norm 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) 14.29 (Fix 2) Sci: The value you specify (from 1 to 10) controls the number of significant digits for displayed calculation results.
Dot Comma Specifies whether to display a dot or a comma for the calculation result decimal point. A dot is always displayed during input. Dot: Period decimal point, comma separator Comma: Comma decimal point, period separator Note • To close the setup menu without selecting anything, press . Initializing the Calculation Mode and Other Settings Performing the following procedure initializes the calculation mode and other setup settings as shown below.
Basic Calculations key to enter the COMP Mode when you want to perform Use the basic calculations. (COMP) Inputting Expression and Values Example: 4 × sin30 × (30 + 10 × 3) = 120 4 30 30 10 (Angle unit: Deg) 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 ( , , , ). x or key operation does not take up a step, so inputting ( √ ), for A example, takes up only one step.
Example 2: To correct the expression 369 × × 2 so it becomes 369 × 2 2 369 Example 3: To correct 2.362 so it becomes sin2.362 36 2 (INS) Clearing all of the calculation you are inputting Press . Arithmetic Calculations • Negative values inside of calculations must be enclosed within parentheses. For details, see "Calculation Priority Sequence." • It is not necessary to enclose a negative exponent within parentheses. 2 34 5 sin 2.34 × 10-5 → Example 1: 23 + 4.5 - 53 = -25.5 23 4 5 53 -25.
6 4 5 0.3 Example 6: 2 × [7 + 6 × (5 + 4)] = 122 2 7 6 5 4 122. Number of Decimal Places and Number of Significant Digits To change the settings for the number of decimal places, the number of key a significant digits, or the exponential display format, press the number of times until you reach the setup screen shown below. Press the number key ( , , or ) that corresponds to the setup item you want to change.
Fraction Calculations Example 1: 2 1 13 + = 3 5 15 Example 2: 3 3 1 5 4 1 2 3 1 6 1 2 11 +1 =4 4 3 12 3 Example 3: 2 1 1 + 1.6 = 2.1 2 1 2 2.1 Note • Values are displayed in decimal format automatically whenever the total number of digits of a fractional value (integer + numerator + denominator + separator marks) exceeds 10. • Results of calculations that mix fraction and decimal values are always decimal.
Mixed Fraction ↔ Improper Fraction Conversion To switch a calculation result between improper fraction and mixed fraction format: (d/c). Press Example 1: 1 2 5 ↔ 3 3 1 2 3 (d/c) (d/c) Note • You can use the display setup (Disp) screen to specify the display format when a fraction calculation result is greater than one. • To change the fraction display format, press the key a number of times until you reach the setup screen shown below. Display the selection screen.
Calculation Type Calculation Method and Key Operations Calculation Formula What percent of B is A? A B (%) Ratio Example 2 A × 100 B Premium Example 3 A×B A+ 100 What is A increased by B percent? A B (%) Discount Example 4 Example 5 A×B A100 What is A decreased by B percent? A B (%) A+B × 100 B If A is added to B, by what percent does B change? A B (%) A-B × 100 B If B becomes A, by what percent does B change? B (%) A Rate of Change (1) Example 6 Rate of Change (2) Example 7 Example 1: To
* As shown here, if you want to use the current Answer Memory value in a mark up or discount calculation, you need to assign the Answer Memory value into a variable and then use the variable in the mark up/discount calculation. This is because the calculation performed when (%) is pressed stores a result to Answer Memory before the key is pressed. Example 6: 300 grams are added to a test sample originally weighing 500 grams, producing a final test sample of 800 grams.
2 20 30 0 39 30 3°0°0. Example 2: 12°34’56” × 3.45 12 34 56 3 45 43°24°31.2 Converting Values between Sexagesimal and Decimal Example: To convert the decimal value 2.258 to a sexagesimal value and then back to a decimal value 2 258 (←) 2.258 2°15°28.8 2.258 Multi-Statements You can use the colon character (:) to connect two or more expressions .
Example 3: Transform the value 1234 to engineering notation, shifting the decimal point to the right. 1234. 1234 1.234×1003 1234.×1000 Example 4: Transform the value 123 to engineering notation, shifting the decimal point to the left. 123. 123 (←) 0.123×1003 (←) 0.000123×1006 Calculation History and Replay Calculation History In the COMP Mode, the calculator remembers up to approximately 150 bytes of data for the newest calculation.
Replay While a calculation result is on the display, you can press edit the expression you used for the previous calculation. or to Example: 4 × 3 + 2 = 14 4×3-7=5 4 3 (Continuing) 2 14. 7 5. Using Memory Functions Answer Memory (Ans) • Whenever you press after inputting values or an expression, the calculated result automatically updates Answer Memory contents by storing the result.
123 (Continuing) 456 579. 789 210. Variables (A, B, C, D, E, F, M, X, Y) Your calculator has nine preset variables named A, B, C, D, E, F, M, X, and Y. You can assign values to variables and use the variables in calculations. Example: To assign the result of 3 + 5 to variable A 5 3 (STO) (A) 8. To multiply the contents of variable A by 10 (Continuing) (A) 10 80. To recall the contents of variable A (Continuing) (A) 8. (A) 0.
To subtract the result of 10 + 5 from M (Continuing) 10 5 (M-) 15. (M) 35. (M) 32. To recall the contents of M (Continuing) Example 2: 23 + 9 = 32 53 - 6 = 47 -) 45 × 2 = 90 99 ÷ 3 = 33 (Total) 22 23 9 (STO) 53 45 2 6 47. (M-) 99 3 90. 33. (M) 22. Clearing the Contents of All Memories Independent memory and variable contents are retained even if you press , or turn off the calculator. Perform the following procedure when you want to clear the contents of all memories.
Function Calculations key to enter the COMP Mode when you want to perform Use the function calculations. (COMP) Using functions can slow down a calculation, which may delay display of the result. To interrupt an ongoing calculation before its result appears, press . Pi ( π ), Natural Logarithm Base e Pi ( π ) You can input pi ( π ) into a calculation. The following shows the required key operations and the values this calculator uses for pi ( π ). π = 3.14159265358980 ( ( π )) π is displayed as 3.
• Press the number key ( , , or unit you want to use. (90° = π /2 radians = 100 grads) ) that corresponds to the angle Example 1: sin 30° = 0.5 (Angle unit: Deg) ･････ (Deg) 30 Example 2: cos( ･････ 0.5 π ) = 0.5 (Angle unit: Rad) 3 (Rad) (π) 3 0.5 Example 3: tan(-35) = -0.612800788 (Angle unit: Gra) ･････ (Gra) 35 -0.612800788 Inverse Trigonometric Functions Example 1: sin-1 0.5 = 30° (Angle unit: Deg) ･････ (Deg) (sin-1) 0 Example 2: cos-1 ･････ 5 30. π √2 = 0.
(sinh) 3 6 18.28545536 (sinh-1) 30 4.094622224 Example 2: sinh-1 30 = 4.094622224 Angle Unit Conversion Press (DRG ) to display the following menu. Pressing , , or converts the displayed value to the corresponding angle unit. Example: To convert the 4.25 radians to degrees ･････ (Deg) 4 25 (DRG ) (R) Exponential Functions, Logarithmic Functions Exponential Functions Example 1: e 10 = 22026.46579 ( e x ) 10 22026.46579 Example 2: 101.5 = 31.6227766 (10 x ) 1 5 31.6227766 2 3 0.
Logarithmic Functions Example 1: log 1.23 = 0.089905111 1 23 0.089905111 Example 2: ln 90 (= log e 90) = 4.49980967 90 4.49980967 (e) 1. Example 3: ln e = 1 Power Functions and Power Root Functions Example 1: √2 + √3 × √5 = 5.287196909 2 3 3 5 5.287196909 3 Example 2: √5 + √-27 = -1.290024053 3 3 (√ ) 5 7 (√ ) 27 -1.290024053 1 Example 3: √123 (= 123 7 ) = 1.988647795 x 7 ( √ ) 123 1.988647795 Example 4: 123 + 302 = 1023 123 30 1023. 12 1728.
Rectangular-Polar Coordinate Conversion Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates. (1) Rectangular Coordinates (Rec) (2) Polar Coordinates (Pol) Specify the angle unit before performing calculations. Calculation result θ is displayed in the range of -180° < θ ≦ 180°. Calculation results are automatically assigned to variables E and F.
Factorial (!) This function obtains the factorials of a value that is zero or a positive integer. Example: (5 + 3)! = 40320 5 3 ( x !) 40320. Random Number (Ran#) Function that generates a pseudo random number in the range of 0.000 to 0.999. Example: Generate three 3-digit random numbers. The random 3 digit decimal values are converted to 3-digit integer values by multiplying by 1000. Note that the values shown here are examples only. Values actually generated by your calculator will be different.
Rounding function (Rnd) Using the Rnd function causes decimal fraction values of the argument to be rounded in accordance with the current number of display digits setting (Norm, Fix, Sci). With Norm 1 or Norm 2, the argument is rounded off to 10 digits. Example: To perform the following calculations when Fix 3 is selected for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3) × 3 ･････ (Fix) 10 10 3 3 3 10.000 (Rnd) 3 9.
Using Calculation Modes Statistical Calculations (SD, REG) Standard Deviation (SD) Use the key to enter the SD Mode when you want to perform statistical calculations using standard deviation. (SD) • In the SD Mode and REG Mode, the key operates as the key. • Always start data input with (CLR) (Scl) to clear statistical memory. • Input data using the key sequence shown below.
Sample Standard Deviation (s x ) = 1.407885953 (S-VAR) (s x ) 1.407885953 Population Standard Deviation ( σ x ) = 1.316956719 (S-VAR) (σ x) 1.316956719 (S-VAR) ( x-) 53.375 (S-SUM) (n) 8. (Σ x ) 427. (Σ x 2) 22805. Arithmetic Mean ( x-) = 53.375 Number of Data ( n ) = 8 Sum of Values (Σ x ) = 427 (S-SUM) Sum of Squares of Values (Σ x 2) = 22805 (S-SUM) Data Input Precautions • inputs the same data twice. • You can also input multiple entries of the same data using (;). (;) 10 .
• Data values you register are normally stored in calculator memory. 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 to exit data input without registering the value you just input. Press if you want to register the value you just input, without saving it in memory.
• Input data using the key sequence shown below. < x -data> < y -data> • 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.
To recall this type of value: Perform this key operation: Σx3 (S-SUM) (Σ x 3) Σx2y (S-SUM) (Σ x 2 y ) Σx4 (S-SUM) (Σ x 4) Regression coefficient C (S-VAR) (C) xˆ1 (S-VAR) ( xˆ1) xˆ2 (S-VAR) ( xˆ2) yˆ (S-VAR) ( yˆ) • The values in the above tables can be used inside of expressions the same way you use variables. Linear Regression • The regression formula for linear regression is: y = A + B x . Example: Atmospheric Pressure vs.
In the REG Mode: (Lin) (CLR) (Scl) (Stat clear) 10 1003 Each time you press to register your input, the number of data input up to that point is indicated on the display ( n value). 15 1005 20 1010 25 1011 30 1014 Regression Coefficient A = 997.4 (S-VAR) (A) 997.4 (B) 0.56 (r) 0.982607368 Regression Coefficient B = 0.56 (S-VAR) Correlation Coefficient r = 0.982607368 (S-VAR) Atmospheric Pressure at 5°C = 994.6 5 (S-VAR) ( yˆ) 994.6 Temperature at 1000 hPa = 4.
Logarithmic Regression y = A + B･ln x Exponential Regression y = A･ e B• x (ln y = ln A + B x ) Power Regression y = A･ x B (ln y = ln A + Bln x ) Inverse Regression y = A + B･1/ x Quadratic Regression • The regression formula for quadratic regression is: y = A + B x + C x 2. Example: Perform quadratic regression to determine the regression formula terms for the data below. xi yi 29 1.6 50 23.5 74 38.0 103 46.4 118 48.
yˆ when xi is 16 = -13.38291067 16 (S-VAR) ( yˆ) -13.38291067 ( xˆ1) 47.14556728 ( xˆ2) 175.5872105 xˆ1 when yi is 20 = 47.14556728 20 (S-VAR) xˆ2 when yi is 20 = 175.5872105 20 (S-VAR) Data Input Precautions • inputs the same data twice. • You can also input multiple entries of the same data using (;). To input the data "20 and 30" five times, for example, press 20 30 (;) 5 . • The above results can be obtained in any order, and not necessarily that shown above.
Entering the EQN Mode and pressing cubic equation screen. displays the initial quadratic/ Use this screen to specify 2 (quadratic) or 3 (cubic) as the degree of the equation, and input values for each of the coefficients. (1) Coefficient name (2) Element value (3) Arrow indicates direction you should scroll to view other elements.
( d ?) 2 ( x 1 = 2) ( x 2 = -1) ( x 3 = 1) • If a result is a complex number, the real part of the first solution appears first. This is indicated by the "R↔I" symbol on the display. Press (Re⇔Im) to toggle the display between the real part and imaginary part of a solution. Example 2: To solve the equation 8 x 2 - 4 x + 5 = 0 ( x = 0.25 ± 0.75 i ) (Degree?) 2 ( a ?) 8 ( b ?) 4 ( c ?) 5 ( x 1 = 0.25 + 0.75 i ) ( x 2 = 0.25 - 0.
(1) Coefficient name (2) Element value (3) Arrow indicates direction you should scroll to view other elements. • Any time until you input a value for the final coefficient ( c 2 for two unknowns, d 3 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.
Technical Information Errors The calculator will display an error message whenever an error occurs for any reason during a calculation. • Press or 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 to return to the calculation screen. Note that this also clears the calculation that contained the error.
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. key. 3.
3. Remove the battery, and then load a new battery with its plus (+) and minus (-) ends facing correctly. 4. Replace the cover. (CLR) (All) . 5. Initialize the calculator: • Do not skip the above step! Calculation Priority Sequence The calculator performs calculations according to a calculation priority sequence. When the priority of two expressions is the same, the calculation is performed from left to right.
Stacks 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 (Stack ERROR) occurs whenever you try to perform a calculation that is so complex that the capacity of a stack is exceeded.
Calculation Ranges, Number of Digits, and Precision The calculation range, number of digits used for internal calculation, and calculation precision depends on the type of calculation you are performing. Calculation Range and Precision Calculation Range ±1 × 10-99 to ±9.999999999 × 1099 or 0 Number of Digits for Internal Calculation 15 digits Precision In general, ±1 at the 10th digit for a single calculation. Precision for exponential display is ±1 at the least significant digit.
Functions Input Range sinh x , cosh x 0 ≦ | x | ≦ 230.2585092 sinh-1 x 0 ≦ | x | ≦ 4.999999999 × 1099 cosh-1 x 1 ≦ x ≦ 4.999999999 × 1099 tanh x 0 ≦ | x | ≦ 9.999999999 × 1099 tanh-1 x 0 ≦ | x | ≦ 9.999999999 × 10-1 log x , ln x 0 < x ≦ 9.999999999 × 1099 10 x -9.999999999 × 1099 ≦ x ≦ 99.99999999 e x -9.999999999 × 1099 ≦ x ≦ 230.
Functions Input Range a ° b ’ c ”: | a |, b , c < 1 × 10100 ; 0 ≦ b , c °’ ” ← °’ ” The display seconds value is subject to an error of ±1 at the second decimal place.
Approximate Battery Life: Two years (based on one hour of operation per day) Power Consumption: 0.0001 W Operating Temperature: 0°C to 40°C (32°F to 104°F) Dimensions: 13.8 (H) × 77 (W) × 161.5 (D) mm ½” (H) × 3” (W) × 63⁄8” (D) Approximate Weight: 105 g (3.
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