EN fx-82ES PLUS fx-85ES PLUS fx-95ES PLUS fx-350ES PLUS (2nd edition / NATURAL-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.................................................... 4 About this Manual.................................................................................... 4 Initializing the Calculator.......................................................................... 4 Precautions.............................................................................................. 4 Safety Precautions..............................................................................
Function Calculations............................................................ 29 Pi (π), Natural Logarithm Base e............................................................ 29 Trigonometric Functions........................................................................ 29 Hyperbolic Functions............................................................................. 29 Angle Unit Conversion........................................................................... 30 Exponential Functions..........
Verifying the Authenticity of Your Calculator.......................................... 61 Frequently Asked Questions.................................................62 Frequently Asked Questions..................................................................
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.
• Use only the type of battery specified for this calculator in this manual. 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.
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. fx-82ES PLUS/fx-85ES PLUS/fx-350ES PLUS: Press ( CONT ). fx-95ES PLUS: Press (SETUP) ( CONT 2. Use and to adjust display contrast. 3. After the setting is the way you want, press (SETUP) ). .
* Indicates the function that is accessed by the key operation ( ) before it. Note that this is not part of the actual key operation you perform. • The following shows an example of how a key operation to select an onscreen menu item is represented in this manual. Example: (COMP)* * Indicates the menu item that is selected by the number key operation ( ) before it. Note that this is not part of the actual key operation you perform.
Display indicators 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. M There is a value stored in independent memory. STO The calculator is standing by for input of a variable name to assign a value to the variable. This (STO).
Important! • For some type of calculation that takes a long time to execute, the display may show only the above indicators (without any value) while it performs the calculation internally. Using Menus Some of the calculator's operations are performed using menus. Pressing or , for example, will display a menu of applicable functions. The following are the operations you should use to navigate between menus.
Calculation Modes and Calculator Setup Calculation Mode Before starting a calculation, you must first enter the correct mode as indicated in the table below.
Configuring the Calculator Setup Pressing (SETUP) displays the setup menu, which you can use to control how the calculations are executed and displayed. The setup menu has two screens, which you can jump between using and . fx-82ES PLUS/fx-85ES PLUS/fx-350ES PLUS fx-95ES PLUS Underlined ( ___ ) settings are initial defaults.
Examples: MthIO-MathO MthIO-LineO (Number Format: Norm 1) MthIO-LineO (Number Format: Norm 2) LineIO (Number Format: Norm 1) Note • The calculator switches to Linear Display automatically whenever you enter the STAT Mode.
Specifying the Number Format Specifies the number of digits for display of a calculation result. To specify this: Perform this key operation: Number of Decimal Places (SETUP) (Fix) - Number of Significant Digits (SETUP) (Sci) - Exponential Display Range (SETUP) (Norm 2) (Norm) (Norm 1) or 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.
Specifying the Complex Number Format (fx-95ES PLUS only) To specify this complex number format: Perform this key operation: Rectangular Coordinates (SETUP) (CMPLX) (a+bi) Polar Coordinates (SETUP) (CMPLX) (r∠θ) Specifying the Stat Format Specifies whether or not to display a FREQ (frequency) column in the STAT Mode Statistics Editor.
Comma (,) (SETUP) (Disp) (Comma) fx-95ES PLUS To specify this decimal point display format: Perform this key operation: Dot (.) (SETUP) (Disp) (Dot) Comma (,) (SETUP) (Disp) (Comma) Note • When dot is selected as the decimal point, the separator for multiple results is a comma (,). When comma is selected, the separator is a semicolon (;). Adjusting Display Contrast fx-82ES PLUS/fx-85ES PLUS/fx-350ES PLUS: ( CONT ) (SETUP) ( CONT fx-95ES PLUS: See "Getting Started" for details.
Complex Number Format (fx-95ES PLUS only) a+bi Stat Format OFF Decimal Point Dot 16
Inputting Expressions and Values Basic Input Rules Calculations can be input in the same form as they are written. When you press the priority sequence of the input calculation will be evaluated automatically and the result will appear on the display. Example 1: 4 × sin30 × (30 + 10 × 3) = 120 *1 Input of the closing parenthesis is required for sin, sinh, and other functions that include parentheses. *2 These multiplication symbols (×) can be omitted.
• When Natural Display is selected, pressing while the cursor is at the end of the input calculation will cause it to jump to the beginning, while pressing while the cursor is at the beginning will cause it to jump to the end. • You can input up to 99 bytes for a calculation. Each numeral, symbol, or function normally uses one byte. Some functions require three to 13 bytes. • The cursor will change shape to when there are 10 bytes or less of allowed input remaining.
± a√b, ± d ± a√b, * ± a'√b ± d'√e c' The ranges of the coefficients (a, b, c, d, e, f) are as shown below. 1 ≦ a < 100, 1 < b < 1000, 1 ≦ c < 100 0 ≦ d < 100, 0 ≦ e < 1000, 1 ≦ f < 100 (a, b, c, d, e, f are integers) Example: 10√2 + 15 × 3√3 = 45√3 + 10√2 √ form 99√999 = 3129.089165 (= 297√111) decimal form Using Values and Expressions as Arguments (Natural Display only) A value or an expression that you have already input can be used as the 7 argument of a function.
Overwrite Input Mode (Linear Display only) You can select either insert or overwrite as the input mode, but only while Linear Display is selected. In the overwrite mode, text you input replaces the text at the current cursor location. You can toggle between the insert (INS). The and overwrite modes by performing the operations: cursor appears as " " in the insert mode and as " " in the overwrite mode.
Basic Calculations key to enter the COMP Mode when you want to perform Use the basic calculations. (COMP) Toggling Calculation Results While Natural Display is selected, each press of will toggle the currently displayed calculation result between its fraction form and decimal form, its √ form and decimal form, or its π form and decimal form. Example 1: π ÷ 6 = 1 π = 0.5235987756 (MthIO-MathO) 6 (π) 1 π 6 6 0.5235987756 Example 2: (√2 + 2) × √3 = √6 + 2√3 = 5.
Important! • Depending on the type of calculation result that is on the display when you press the key, the conversion process may take some time to perform. • With certain calculation results, pressing the key will not convert the displayed value. • You cannot switch from decimal form to mixed fraction form if the total number of digits used in the mixed fraction (including integer, numerator, denominator, and separator symbols) is greater than 10.
• Fractions in calculation results are displayed after being reduced to their lowest terms. To switch a calculation result between improper fraction and mixed fraction form: d Perform the following key operation: (ab c c) To switch a calculation result between fraction and decimal form: . Press Percent Calculations (%) causes the input value to Inputting a value and pressing become a percent.
Note • You must always input something for the degrees and minutes, even if they are zero. Example 1: 2°20’30” + 39’30” = 3°00’00” 2 20 30 0 39 30 3°0’0” Example 2: 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” Multi-Statements You can use the colon character (:) to connect two or more expressions .
(←) 0.000123×106 Prime Factorization In the COMP Mode, a positive integer no more than 10 digits long can be factored to prime factors. Example 1: To perform prime factorization on 1014 1014 1014 (FACT) When you perform prime factorization on a value that includes a factor that is prime number with more than three digits, the part that cannot be factored will be enclosed in parentheses on the display.
Calculation History and Replay Calculation History In the COMP Mode, the calculator remembers up to approximately 200 bytes of data for the newest calculation. You can scroll through calculation history contents using and . Example: 1+1=2 1 1 2 2+2=4 2 2 4 3+3=6 3 3 6 (Scrolls back.) 4 (Scrolls back again.
Answer Memory contents are updated whenever you execute a calculation using any one of the following keys: , , , (M-), , (STO). Answer Memory can hold up to 15 digits. Example 1: To divide the result of 3 × 4 by 30 (LineIO) 4 3 (Continuing) 12 30 Example 2: To perform the calculations shown below: 123 456 579 (Continuing) 789 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.
Independent Memory (M) You can add calculation results to or subtract results from independent memory. The "M" indicator appears on the display when there is any value other than zero stored in independent memory. Example: To clear the contents of M (STO) 0 (M) 0 To add the result of 10 × 5 to M (Continuing) 10 5 50 To subtract the result of 10 + 5 from M 5 (M-) 15 (Continuing) (M) 35 (Continuing) 10 To recall the contents of M Note • Variable M is used for independent memory.
Function Calculations key to enter the COMP Mode when you want to perform Use the function calculations. (COMP) Note: Using functions can slow down a calculation, which may delay display of the result. Do not perform any subsequent operation while waiting for the calculation result to appear. To interrupt an ongoing . calculation before its result appears, press Pi (π), Natural Logarithm Base e π is displayed as 3.141592654, but π = 3.14159265358980 is used for internal calculations. e is displayed as 2.
(sinh) 1 1.175201194 (cosh-1) 1 0 Example 2: cosh-1 1 = 0 Angle Unit Conversion °, r, g : These functions specify the angle unit. ° specifies degrees, r radians, and g grads. Input a function from the menu that appears when you perform the following key operation: (DRG ).
2 (,) 16 (MthIO-MathO, MthIO-LineO) 2 4 16 4 Example 3: log2(43) = 6 (MthIO-MathO, MthIO-LineO) 2 6 Example 4: log2(4)3 = 8 (MthIO-MathO, MthIO-LineO) 2 4 8 Example 5: To calculate ln 90 (= loge 90) to three significant digits (Sci 3) (SETUP) (Sci) 90 4.50×100 Power Functions and Power Root Functions Note that the input methods for , , , and are different depending upon whether you are using Natural Display or Linear Display. Example 1: 1.
(MthIO-MathO) 2 3√2 4.243 (LineIO) 2 3 4.243 Example 6: 3√5 + 3√-27 = -1.290024053 ( (LineIO) ( Example 7: 1 1 1 3 4 )5 27 ) -1.290024053 = 12 (LineIO) 3 4 12 Note • The following functions cannot be input in consecutive sequence: x2, x3, input 2 , for example, the final press the key, and then press , x-1. If you 22 will be ignored. To input 2 , input 2 (MthIO-MathO).
Specify the angle unit before performing calculations. The calculation result for r and θ and for x and y are each assigned respectively to variables X and Y. Calculation result θ is displayed in the range of -180° < θ ≦ 180°.
Random Number (Ran#) Function that generates a pseudo random number in the range of 0.000 to 0.999. The result is displayed as a fraction when Natural Display is selected. Example: Generate three 3-digit random numbers. The random 3-digit decimal values are converted to 3-digit integer values by multiplying by 1000. 1000 (Ran#) 634 92 175 (Results shown here are for illustrative purposes only. Actual results will differ.
Rounding Function (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. With Fix and Sci, the argument is rounded off to the specified digit. When Fix 3 is the display digits setting, for example, the result of 10 ÷ 3 is displayed as 3.333, while the calculator maintains a value of 3.33333333333333 (15 digits) internally for calculation.
Using Calculation Modes Statistical Calculations (STAT) To start a statistical calculation, perform the key operation (STAT) to enter the STAT Mode and then use the screen that appears to select the type of calculation you want to perform.
Note • When you want to change the calculation type after entering the STAT Mode, perform (STAT) the key operation (Type) to display the calculation type selection screen. Inputting Data Use the Statistics Editor to input data. Perform the following key operation (STAT) (Data).
To change the data in a cell: In the Statistics Editor, move the cursor to the cell that contains the data . you want to change, input the new data, and then press To delete a line: In the Statistics Editor, move the cursor to the line that you want to delete . and then press To insert a line: In the Statistics Editor, move the cursor to the location where you want to insert the line and then perform the following key operation: (STAT) (Edit) (Ins).
Statistics Menu Items Common Items Select this menu item: When you want to obtain this: (Type) Display the calculation type selection screen (Data) Display the Statistics Editor (Sum) Display the Sum sub-menu of commands for calculating sums (Var) Display the Var sub-menu of commands for calculating the mean, standard deviation, etc.
Var Sub-menu ( Select this menu item: (STAT) (Var)) When you want to obtain this: (n) Number of samples (x) Mean of the sample data (σx) Population standard deviation (sx) Sample standard deviation MinMax Sub-menu ( Select this menu item: (STAT) (MinMax)) When you want to obtain this: (minX) Minimum value (maxX) Maximum value Commands when Linear Regression Calculation (A+BX) Is Selected Sum Sub-menu ( (STAT) (Sum)) Select this menu item: When you want to obtain this: (∑x2) Sum of squ
Var Sub-menu ( Select this menu item: (STAT) (Var)) When you want to obtain this: (n) Number of samples (x) Mean of the X-data (σx) Population standard deviation of the X-data (sx) Sample standard deviation of the X-data (y) Mean of the Y-data (σy) Population standard deviation of the Y-data (sy) Sample standard deviation of the Y-data Reg Sub-menu ( Select this menu item: (STAT) (Reg)) When you want to obtain this: (A) Regression coefficient constant term A (B) Regression coefficie
Commands when Quadratic Regression Calculation (_+CX2) Is Selected Reg Sub-menu ( (STAT) (Reg)) Select this menu item: When you want to obtain this: (A) Regression coefficient constant term A (B) Linear coefficient B of the regression coefficients (C) Quadratic coefficient C of the regression coefficients (x̂1) Estimated value of x1 (x̂2) Estimated value of x2 (ŷ) Estimated value of y Note • x̂, x̂1, x̂2 and ŷ are not variables.
Results: Mean: 3, Population Standard Deviation: 1.154700538 Example 3: To calculate the linear regression and logarithmic regression correlation coefficients 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.
Important! • Regression coefficient, correlation coefficient, and estimated value calculations can take considerable time when there are a large number of data items. Equation Calculations (EQN) (fx-95ES PLUS only) You can use the following procedure in the EQN Mode to solve simultaneous linear equations with two or three unknowns, quadratic equations, and cubic equations. 1. Press (EQN) to enter the EQN Mode. 2. On the menu that appears, select an equation type.
Important! • The following operations are not supported by the Coefficient Editor: (M-), , (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. and keys.
Example 3: x2 + x + (Y=) 2 (Z=) 3 3 = 0 (MthIO-MathO) 4 (EQN) 1 (aX2 + bX + c = 0) 1 3 4 (X1=) - 1 √2 + i 2 2 (X2=) 1 √2 - i 2 2 - Example 4: x2 - 2√2x + 2 = 0 (MthIO-MathO) (EQN) 1 (aX2 + bX + c = 0) 2 2 2 (X=) √2 Example 5: x3 - 2x2 - x + 2 = 0 (EQN) 1 (aX3 + bX2 + cX + d = 0) 2 1 2 (X1=) -1 (X2=) 2 (X3=) 1 Creating a Numerical Table from a Function (TABLE) TABLE generates a numerical table for x and f(x) using an input f(x) function.
3. In response to the prompts that appear, input the values you want to use, pressing after each one. For this prompt: Input this: Start? Input the lower limit of X (Default = 1). End? Input the upper limit of X (Default = 5). Note: Make sure that the End value is always greater than the Start value. Step? Input the increment step (Default = 1). Note: The Step specifies by how much the Start value should be sequentially incremented as the numerical table is generated.
Note • You can use the numerical table screen for viewing values only. Table contents cannot be edited. • The numerical table generation operation causes the contents of variable X to be changed. • The specified Start, End, and Step values should produce a maximum of 30 Xvalues for the numerical table being generated. Executing a numerical table generation using a Start, End, and Step value combination that produces more than 30 X-values causes an error.
• To change a coefficient value you already have input, move the cursor to the appropriate cell, input the new value, and then press . • Pressing will clear all of the coefficients to zero. Note:The following operations are not supported by the Coefficient , (M-), (STO). Pol, Rec, and multi-statements Editor: also cannot be input with the Coefficient Editor. . 5. After all the values are the way you want, press • This will display the solutions.
(INEQ) (aX2 + bX + c) 2 (aX + bX + c ≧ 0) 1 2 3 Note: Solutions are displayed as shown here when Linear Display is selected. Example 3: 2x3 - 3x2 ≧ 0 (MthIO-MathO) (INEQ) (aX3 + bX2 + cX + d) (aX3 + bX2 + cX + d ≧ 0) 2 3 Example 4: 3x3 + 3x2 - x > 0 (MthIO-MathO) (INEQ) (aX3 + bX2 + cX + d) (aX3 + bX2 + cX + d > 0) 3 3 1 Note: Solutions are displayed as shown here when Linear Display is selected.
(INEQ) (aX2 + bX + c) 2 (aX + bX + c ≧ 0) 1 0 0 • "No-Solution" appears on the solution screen when no solution exists for an inequality (such as X2 < 0). Ratio Calculations (RATIO) (fx-95ES PLUS only) The RATIO Mode lets you determine the value of X in the ratio expression a : b = X : d (or a : b = c : X) when the values of a, b, c and d are known. The following shows the general procedure for using RATIO. 1. Press (RATIO) to enter the RATIO Mode. 2.
Changing the Ratio Expression Type Re-enter the RATIO Mode and select the ratio expression type you want from the menu that appears. Changing the ratio expression type causes the values of all Coefficient Editor coefficients to change to zero.
Technical Information Errors The calculator will display an error message whenever an error occurs for any reason during a calculation. There are two ways to exit an error message display: Pressing or to display the location of the error, or pressing to clear the message and calculation. Displaying the Location of an Error While an error message is displayed, press or to return to the calculation screen. The cursor will be positioned at the location where the error occurred, ready for input.
• Your input exceeds the allowable input range (particularly when using functions). • The calculation you are performing contains an illegal mathematical operation (such as division by zero). Action: • Check the input values, reduce the number of digits, and try again. • 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.
Action: • Narrow the table calculation range by changing the Start, End, and Step values, and try again. 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. If one step does not correct the problem, move on to the next step. Note that you should make separate copies of important data before performing these steps. 1.
3. Remove the battery, and then load a new battery with its plus (+) and minus (-) ends facing correctly. 4. Replace the cover. (CLR) (All) (Yes). 5. Initialize the calculator: • Do not skip the above step! Calculation Priority Sequence The priority sequence of input calculations is evaluated in accordance with the rules below. When the priority of two expressions is the same, the calculation is performed from left to right.
9 Multiplication (×), division (÷) 10 Addition (+), subtraction (-) Note • When squaring a negative value (such as -2), the value being squared must be enclosed in parentheses ( ). Since x2 has a higher priority than 2 the negative sign, inputting 2 would result in the squaring of 2 and then appending a negative sign to the result. • Always keep the priority sequence in mind, and enclose negative values in parentheses when required.
Deg tanx Rad Gra sin-1x, cos-1x tan-1x sinhx, coshx sinh-1x cosh-1x tanhx tanh-1x logx, lnx 10x ex Same as sinx, except when |x| = (2n-1) × 90. Same as sinx, except when |x| = (2n-1) × π/2. Same as sinx, except when |x| = (2n-1) × 100. 0 ≦ |x| ≦ 1 0 ≦ |x| ≦ 9.999999999 × 1099 0 ≦ |x| ≦ 230.2585092 0 ≦ |x| ≦ 4.999999999 × 1099 1 ≦ x ≦ 4.999999999 × 1099 0 ≦ |x| ≦ 9.999999999 × 1099 0 ≦ |x| ≦ 9.999999999 × 10-1 0 < x ≦ 9.999999999 × 1099 -9.999999999 × 1099 ≦ x ≦ 99.99999999 -9.
Pol(x, y) Rec(r, θ) °’ ” ← °’ ” xy x √y |x|, |y| ≦ 9.999999999 × 1099 √x2 + y2 ≦ 9.999999999 × 1099 0 ≦ r ≦ 9.999999999 × 1099 θ: Same as sinx 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.
Specifications fx-82ES PLUS/fx-95ES PLUS Power Requirements: AAA-size battery R03 (UM-4) × 1 Approximate Battery Life: 2 years (based on one hour of operation per day) Power Consumption: 0.0002 W Operating Temperature: 0°C to 40°C (32°F to 104°F) Dimensions: 13.8 (H) × 77 (W) × 161.5 (D) mm 1/ " (H) × 3" (W) × 63/ " (D) 2 8 Approximate Weight: 105 g (3.
Approximate Battery Life: 3 years (based on one hour of operation per day) Power Consumption: 0.0002 W Operating Temperature: 0°C to 40°C (32°F to 104°F) Dimensions: 11.1 (H) × 77 (W) × 161.5 (D) mm 3/ " (H) × 3" (W) × 63/ " (D) 8 8 Approximate Weight: 95 g (3.4 oz) including the battery Verifying the Authenticity of Your Calculator Use the steps below to verify that your calculator is a genuine CASIO calculator. . 1. Press 2. Press . • This displays the information below.
Frequently Asked Questions Frequently Asked Questions ■ How can I perform input and display results the same way I did on a model that does not have Natural Textbook Format? → Perform the following key operation: (SETUP) (LineIO). See "Configuring the Calculator Setup" for more information. ■ How can I change a fraction form result to decimal form? How can I change a fraction form result produced by a division operation to decimal form? → See "Toggling Calculation Results" for the procedure.
Older (S-V.P.A.M.) Model: 30 15 15.5 15 15.5 Natural Textbook Display Model: (LineIO) Failure to press 45. 30 here as shown below will result in calculation of sin 30 63 15 0.
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