# Casio FX-115ES

# Manual

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### About

**Casio FX115ES 2-Line Advanced Scientific Solar Calculator 168930**

The versatile Casio FX115ES is an advanced scientific solar powered calculator that can do metric conversions and has natural 2-line textbook display that shows formula and results exactly as they appear in the textbook. It performs equation calculations, 40 metric conversions, matrix and vector calculations, and has an easy menu function, table function, list-based STAT data editor, and fraction functions. It solves calculations and multi-replay function. The Solar Plus feature protects memory ... Read more

__Details__**Brand**: Casio

**Part Number**: 168930

**UPC**: 079767171131

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### User reviews and opinions

dan19891 |
1:13pm on Saturday, October 30th, 2010 |

Produce used for school work only Adequate Capabilities my son used Attractive Design Difficult To Use Great Calculator！ Bottons easy to press, display clearly! Has all the functions for both college and office use! Adequate Capabilities. | |

Marc Prior |
9:01pm on Wednesday, October 6th, 2010 |

Freshman High School Science teacher required that this be used in class. Easy to use. Adequate Capabilities,Attractive Design,Clear Display. | |

Michelasso |
4:22pm on Friday, August 6th, 2010 |

Awesome!! If you want to do maths properly, rely on this to get the job done, not BS txas instrument calculators. | |

sjw1953 |
3:10pm on Friday, July 30th, 2010 |

Good for non-programmable calculators In spite of the seeming easiness of using this calculator with having it display the integral signs, etc.. | |

rajivkyadav |
4:57am on Sunday, June 6th, 2010 |

The natural display function makes it invaluble. It has a table option for doing functions and displaying the range for a certain domain None | |

planetthoughtful |
10:54am on Wednesday, April 7th, 2010 |

This is a great calculator. It will handle a lot of mathematical simplification and give a nice displayed answer. | |

GarySmallridge |
4:40am on Tuesday, March 16th, 2010 |

Casio has the manual in pdf on the web for download. This is helpful to do esearch for keyword needed. NewEgg rocks! |

Comments posted on www.ps2netdrivers.net are solely the views and opinions of the people posting them and do not necessarily reflect the views or opinions of us.

### Documents

e+1 Example 2: To input 1 + ' + MATH

Example 3: To input (1 + MATH

#### ) 2= 5

(1+'2c5e) w*2= When you press = and obtain a calculation result using Math format, part of the expression you input can be cut off as shown in the Example 3 screen shot. If you need to view the entire input expression again, press A and then press e.

Incorporating a Value into a Function

When using Math format, you can incorporate part of an input expression (a value, an expression within parentheses, etc.) into a function. Example: To incorporate the expression inside of the parentheses of 1 + (2 + 3) + 4 into the ' function MATH

#### Move the cursor to here.

1Y(INS)

This changes the shape of the cursor as shown here.

This incorporates the expression in the parentheses into the function '.

If the cursor is located left of a particular value or fraction (instead of an open parentheses), that value or fraction will be incorporated into the function specified here. If the cursor is located left of function, the entire function is incorporated into the function specified here. The following examples show the other functions that can be used in the above procedure, and the required key operations to use them. Original Expression: Function Fraction log(a,b) Power Root Key Operation ' & 16(") Resulting Expression

Original Expression: Function Integral Derivative Key Operation 7 17(F) 1&(8) Resulting Expression

You can also incorporate values into the following functions. 1l($), 1i(%), !, 6, 1!(#), 1w(Abs)

Displaying Calculation Results in a Form that Includes ' , 2, etc. (Irrational Number Form)

When MthIO is selected for the input/output format, you can specify whether calculation results should be displayed in a form that includes expressions like ' and (irrational number form). 2 Pressing = after inputting a calculation displays the result using irrational number form. Pressing 1= after inputting a calculation displays the result using decimal values.

When LineIO is selected for the input/output format, calculation results are always displayed using decimal values (no irrational number form) regardless of whether you press = or 1=. form (form that includes within irrational number display) display conditions are the same as those for S-D conversion. For details, see Using S-D Transformation. Example 1: ' +' = 3' 2 MATH 1 !2e+!8=

#### !2e+!81=

Example 2: sin (60) = MATH

#### ' s60=

(Angle Unit: Deg)

Example 3: sin1 (0.5) = MATH

#### (Angle Unit: Rad)

k Degree, Minute, Second (Sexagesimal) Calculations

You can perform calculations using sexagesimal values, and convert values between sexagesimal and decimal.

Inputting Sexagesimal Values

The following is the syntax for inputting a sexagesimal value. {Degrees}e{Minutes}e{Seconds}e Appendix <#011> Input 2030.

Note that you must always input something for the degrees and minutes, even if they are zero.

#### Sexagesimal Calculations

Performing the following types of sexagesimal calculations produces a sexagesimal result. - Addition or subtraction of two sexagesimal values - Multiplication or division of a sexagesimal value and a decimal value Appendix <#012> 22030 + 3930 = 30000

Converting Values between Sexagesimal and Decimal

Pressing e while a calculation result is displayed toggles the value between sexagesimal and decimal. Appendix <#013> Convert 2.255 to its sexagesimal equivalent.

Using Multi-statements in Calculations

You can use the colon character (:) to connect two or more expressions and execute them in sequence from left to right when you press =. Example: To create a multi-statement that performs the following two calculations: 3 + 3 and LINE 3+3S7(:)3*3

Disp indicates this is an intermediate result of a multi-statement.

Using Calculation History Memory and Replay

Calculation history memory maintains a record of each calculation expression you input and execute, and its result. Modes that support calculation history memory: COMP (N1), CMPLX (N2), BASE-N (N4)

Recalling Calculation History Memory Contents

Press f to back-step through calculation history memory contents. Calculation history memory shows both calculation expressions and results. Example: LINE 1+1= 2+2= 3+3=

Note that calculation history memory contents are cleared whenever you turn off the calculator, press the O key, change to the calculation mode or the input/output format, or perform any reset operation. Calculation history memory is limited. When the calculation you are performing causes calculation history memory to become full, the oldest calculation is deleted automatically to make room for the new calculation.

Calculation Examples Using Independent Memory

If the M indicator is on the display, perform the procedure under Clearing Independent Memory before performing this example. Example: 23 + 9 = 32 23+9m = 47 53-6m )= 90 45*21m(M) = 33 99/3m (Total) 22 tm(M)

Clearing Independent Memory

Press01t(STO)m. This clears independent memory and causes the M indicator to disappear from the display.

k Variables (A, B, C, D, X, Y)

#### Variable Overview

You can assign a specific value or a calculation result to a variable. Example: To assign the result of 3 + 5 to variable A. 3+51t(STO)y(A) Use the following procedure when you want to check the contents of a variable. Example: To recall the contents of variable A ty(A) The following shows how you can include variables inside of an expression. Example: To multiply the contents of variable A by the contents of variable B Sy(A)*Se(B)= Variable contents are maintained even if you press the A key, change the calculation mode, or turn off the calculator. Appendix <#015>

Clearing the Contents of a Specific Variable

Press 01t(STO) and then press the key for the name of the variable whose contents you want to clear. To clear the contents of variable A, for example, press 01t(STO)y(A).

k Clearing the Contents of All Memories

Use the following procedure to clear the contents of Answer Memory, independent memory, and all of the variables. Press 19(CLR)2(Memory)=(Yes). To cancel the clear operation without doing anything, press A(Cancel) instead of =.

#### Using CALC

The CALC feature lets you input a calculation expression that contains variables, and then assign values to the variables and perform the calculation. You can use CALC in the COMP Mode (N1) and in the CMPLX Mode (N2).

k Expressions Supported by CALC

The following describes the types of expressions that can be used with CALC.

u Expressions that contain variables Example: 2X + 3Y, 5B + 3 i, 2AX + 3BY + C u Multi-statements

Example: X + Y : X (X + Y)

u Expressions with a single variable on the left

Example: {variable} = {expression} The expression on the right of the equals sign (input using Ss(=)) can contain variables. Example: Y = 2X, A = X2 + X + 3

k Example Calculation Using CALC

To start a CALC operation after inputting an expression, press the s key. Example: LINE 3*Sy(A)

Prompts for input of a value for A. Current value of A

#### s (or=)

To exit CALC, press A. If the expression you are using contains more than one variable, an input prompt appears for each one. Appendix <#016> Calculate an +1 = an + 2n (a1 = 1) as the value of an changes from a 2 to a 5. (Results: a 2 = 3, a 3 = 7, a 4 = 13, a5 = 21) *1 *3 *5 *7 Assigns 1 to a1. Value of a2 Assigns 2 to n. Value of a4 *2 *4 *6 *8 Assigns 1 to n. Assigns value to a2. Value of a3 Value of a5

#### Function Calculations

This section explains how to use the calculators built-in functions. The functions available to you depends on the calculation mode you are in. The explanations in this section are mainly about the functions that are available in all calculation modes. All of the examples in this section show operation in the COMP Mode (N1). Certain function calculations may take some time to display calculation results. Before performing an operation, be sure to wait until execution of the current operation is complete. You can interrupt an ongoing operation by pressing A.

k Pi () and Natural Logarithm Base e

You can input pi () or natural logarithm base e into a calculation. The following shows the required key operations and the values this calculator uses for pi () and e. = 3.14159265358980 (15()) e = 2.71828182845904 (S5(e)) You can use and e in any calculation mode except for BASE-N.

k Trigonometric and Inverse Trigonometric Functions

Trigonometric and inverse trigonometric functions can be used in the COMP, STAT, EQN, MATRIX, TABLE, and VECTOR calculation modes. They can also be used in the CMPLX Mode, as long as complex numbers are not used for their arguments. The angle unit required by trigonometric and inverse trigonometric functions is one specified as the calculators default angle unit. Before performing a calculation, be sure to specify the default angle unit you want to use. See Specifying the Default Angle Unit for more information. Appendix <#018> sin 30 = 0.5, sin10.5 = 30

k Hyperbolic and Inverse Hyperbolic Functions

Hyperbolic and inverse hyperbolic functions can be used in the same modes as the trigonometric functions. Pressing the w key displays a menu of functions. Press the number key that corresponds to the function you want to input. Appendix <#019> sinh 1 = 1.175201194, cosh= 0

k Converting an Input Value to the Calculators Default Angle Unit

After inputting a value, press 1G(DRG') to display the angle unit specification menu shown below. Press the number key that corresponds to the angle unit of the input value. The calculator will automatically convert it to the calculators default angle unit.

Example: To convert the following values to degrees: radians = 90, 50 grads = The following procedure assumes that the calculators default angle unit is degrees. LINE (15()/2) 1G(DRG')2(r)=

501G(DRG') 3(g)= Appendix <#020> cos ( radians) = 1, cos (100 grads) = 0 <#021> cos1 (1) = 180 cos1 (1) =

k Exponential Functions and Logarithmic Functions

Exponential and logarithmic functions can be used in the same modes as the trigonometric functions. For the logarithmic function log(, you can specify base m using the syntax log (m, n). If you input only a single value, a base of 10 is used for the calculation. ln( is a natural logarithm function with base e. You can also use the & key when inputting an expression with the form of logmn while using Math format. For details, see Appendix <#022>. Note that you must input the base (base m) when using the & key for input.

Permutation (nPr) and Combination (nCr)

These functions make it possible to perform permutation and combination calculations. n and r must be integers in the range of 0 < r < n < 1 1010. Appendix <#041> How many four-person permutations and combinations are possible for a group of 10 people?

#### Rounding Function (Rnd)

This function rounds the value or the result of the expression in the functions argument to the number of significant digits specified by the number of display digits setting. Display Digits Setting: Norm1 or Norm2 The mantissa is rounded to 10 digits. Display Digits Setting: Fix or Sci The value is rounded to the specified number of digits. Example: 14 = 400 LINE 200/7*14=

(Specifies three decimal places.) 1N6(Fix)3

(Calculation is performed internally using 15 digits.)

#### 200/7=

The following performs the same calculation with rounding.

(Round the value to the specified number of digits.)

#### 10(Rnd)=

(Check rounded result.)

#### k Practical Examples

Appendix <#042>

#### 0(sinX + cosX ) dX =

(tol: Not specified)

<#043> Confirm that the two sides of the following equation are equal: 1 e = n! n=0

Transforming Displayed Values

You can use the procedures in this section to transform a displayed value to engineering notation, or to transform between standard form and decimal form.

k Using Engineering Notation

A simple key operation transforms a displayed value to engineering notation. Appendix <#044> Transform the value 1,234 to engineering notation, shifting the decimal point to the right. <#045> Transform the value 123 to engineering notation, shifting the decimal point to the left.

k Using S-D Transformation

You can use S-D transformation to transform a value between its decimal (D) form and its standard (S) form (fraction, ).

Formats Supported for S-D Transformation

S-D transformation can be used to transform a displayed decimal calculation result to one of the forms described below. Performing S-D transformation again converts back to the original decimal value.

When you transform from decimal form to standard form, the calculator automatically decides the standard form to use. You cannot specify the standard form. Fraction: The current fraction display format setting determines whether the result is an improper fraction or mixed fraction. : The following are the forms that are supported. This is true only in the case of Math format. n (n is an integer.) d a b (depending on fraction display format c or c setting) Transformation to a fractional form is limited to inverse trigonometric function results and values that are normally expressed in radians. After obtaining a calculation result in ' form, you can convert it to decimal form by pressing the f key. When the original calculation result is in decimal form, it cannot be converted to ' form.

Examples of S-D Transformation

Note that S-D transformation can take some time to perform. Example: Fraction Decimal MATH '5c6= Each press of the f key toggles between the two forms. f f Appendix <#046> Fraction Decimal <#047> ' Decimal

Complex Number Calculations

#### (CMPLX)

Your calculator can perform the following complex number calculations. Addition, subtraction, multiplication, division Argument and absolute value calculations Reciprocal, square and cube calculations Conjugate complex number calculations All calculations in this section are performed in the CMPLX Mode (N2). Appendix <#048> (1 + 3i) (2i) = i 2 2

k Inputting Complex Numbers

In the CMPLX Mode, the W key changes function to become an imaginary number i input key. In this section, the W key is referred to as the i key. Use the i key when inputting a complex number of the format a + bi. The key operation below shows how to input 2 + 3i, for example.

#### CMPLX Math

2+3i You can also input complex numbers using polar coordinate format (r ). The key operation below shows how to input 5 30, for example.

51y()30 The angle unit for argument input and result display is the calculators default angle unit.

k Calculation Result Display Format

Your calculator can display complex number calculation results in rectangular coordinate or polar coordinate format. You can select the coordinate format by configuring the calculators setup. For more information, see Specifying the Complex Number Display Format.

Examples of Calculation Results Using Rectangular Coordinate Format (a + bi ) Example 1: 2 (' + i ) = 2'+ 2i = 3.464101615 + 2i 3 3

#### MATH 2*(!3e+i)=

With Linear format, the real part and imaginary part are shown in two different lines. Example 2: ' 45 = 1 + i 2 MATH !2e1y()45=

Examples of Calculation Results Using Polar Coordinate Format (r ) Example 1: 2 ('+ i) = 2'+ 2i = (Angle Unit: Deg)

With Linear format, the absolute value and argument are shown in two different lines. Example 2: 1 + i = ' (Angle Unit: Deg) MATH 1+i= Argument is output in the range of 180< < 180.

Specifying the Calculation Result Display Format

You can override complex number display settings and specify the format that should be used to display calculation results. To specify rectangular coordinate format for the calculation result, perform the following key operation at the end of the calculation. 12(CMPLX)4('a+bi ) To specify polar coordinate format for the calculation result, perform the following key operation at the end of the calculation. 12(CMPLX)3('r ) Appendix <#049> 1 + i (= ' 45) = 1.2

k Conjugate Complex Number (Conjg)

You can use the following operation to obtain a conjugate complex number. 12(CMPLX)2(Conjg) Appendix <#050> Determine the conjugate of the complex number 2 + 3i.

k Absolute Value and Argument (Abs, arg)

Commands when Linear Regression Calculation (A+BX) Is Selected

With linear regression, regression is performed in accordance with the following model equation.

#### y = A + BX

The following are the commands that appear on the sub-menus that appear when you select 4(Sum), 5(Var), 6(MinMax), or 7(Reg) on the STAT menu while linear regression is selected as the statistical calculation type. See Appendix <#060> for information about the calculation formula used for each command. Sum Sub-menu (11(STAT)4(Sum)) Select this menu item: 1x2 2x 3y2 4y 5xy 6x3 7x2y 8x4 Select this menu item: 1n 2o 3xn 4xn1 5p 6yn 7yn1 Select this menu item: 1minX 2maxX 3minY 4maxY When you want to obtain this: Sum of squares of the X-data Sum of the X-data Sum of squares of the Y-data Sum of the Y-data Sum of products of the X-data and Y-data Sum of cubes of the X-data Sum of (X-data squares Y-data) Sum of biquadrate of the X-data

Var Sub-menu (11(STAT)5(Var)) When you want to obtain this: Number of samples Mean of the X-data Population standard deviation of the X-data Sample standard deviation of the X-data Mean of the Y-data Population standard deviation of the Y-data Sample standard deviation of the Y-data

MinMax Sub-menu (11(STAT)6(MinMax)) When you want to obtain this: Minimum value of the X-data Maximum value of the X-data Minimum value of the Y-data Maximum value of the Y-data

Reg Sub-menu (11(STAT)7(Reg)) Select this menu item: 1A 2B 3r 4m 5n Appendix When you want to obtain this: Regression coefficient constant term A Regression coefficient B Correlation coefficient r Estimated value of x Estimated value of y Linear Regression Calculation: <#061> to <#064>

Examples <#062> through <#064> all use the data input in Example <#061>. *1 Estimated Value (y = 3 m = ?) *2 Estimated Value (x = 2 n = ?)

Commands when Quadratic Regression Calculation (_+CX2) Is Selected

With quadratic regression, regression is performed in accordance with the following model equation.

#### y = A + BX + CX 2

See Appendix <#065> for information about the calculation formula used for each command. Reg Sub-menu (11(STAT)7(Reg)) Select this menu item: 1A 2B 3C 4m1 5m2 6n When you want to obtain this: Regression coefficient constant term A Linear coefficient B of the regression coefficients Quadratic coefficient C of the regression coefficients Estimated value of x1 Estimated value of x2 Estimated value of y

#### 4(xnor)

Press this key: When you want to input this: 5(Not) 6(Neg) Not( function, which returns the result of a bitwise complement Neg( function, which returns the result of a twos complement

Negative binary, octal, and hexadecimal values are produced by taking the binary twos complement and then returning the result to the original number base. With the decimal number base, negative values are displayed with a minus sign. Appendix Examples <#085> through <#090> show examples of calculations with negative binary values and examples of logical operations. Before starting each calculation, be sure to press Ab first.

#### Equation Calculations

All calculations in this section are performed in the EQN Mode (N5).

#### k Equation Types

An equation type menu appears when you press N5(EQN) and enter the EQN Mode. Key 1 Menu Item anX + bnY = cn Equation Type Simultaneous Linear Equations with Two Unknowns Simultaneous Linear Equations with Three Unknowns Quadratic Equation Cubic Equation

anX + bnY + cnZ = dn aX2 + bX + c = 0 aX3 + bX2 + cX + d = 0

Changing the Current Equation Type Setting

Press N5(EQN) to re-enter the EQN Mode. This clears all current EQN Mode input and displays the equation type menu described above.

#### k Inputting Coefficients

Use the coefficient editor screen to input the coefficients of an equation. The coefficient editor screen shows input cells for each of the coefficients required by the currently selected equation type.

Simultaneous linear equations with two unknowns

#### Cubic equation

Rules for Inputting and Editing Coefficients

Data you input is inserted into the cell where the cursor is located. When you register input into a cell, the cursor moves to the next cell to the right. When simultaneous linear equations with three unknowns or cubic equation is selected as the equation type, the d column will not be visible on the display when the coefficient editor screen is first displayed. The d column will become visible when you move the cursor to it, which causes the screen to shift. The values and expressions you can input on the coefficient editor screen are the same as those you can input in the COMP Mode with Linear format. Pressing A while inputting data clears your current input. After inputting data, press =. This registers the value and displays up to six of its digits in the currently selected cell. To change the contents of a cell, use the cursor keys to move the cursor to the cell and then input the new data.

Initializing All Coefficients to Zero

You can clear all coefficients to zero by pressing the A key while inputting values on the coefficient editor screen.

Coefficient Editor Screen Input Precautions

Coefficient editor screen precautions are basically the same as those for the STAT editor screen. The only difference is that the first STAT editor screen precaution does not apply in the case of the coefficient editor screen. For details, see STAT Editor Screen Input Precautions.

#### k Solution Display

After inputting and registering values on the coefficient editor screen, press = to display the solution(s) for the equation. Each press of = displays the next solution, if there is one. Pressing = while the final solution is displayed returns to the coefficient editor screen.

In the case of simultaneous linear equations, you can use f and c to switch the display between the solutions for X and Y (and Z). When there are multiple solutions for a quadratic or cubic equation, you can use the f and c keys to scroll the display between X1, X 2, and X3. The actual number of solutions depends on the equation. Pressing A while a solution is displayed will return to the coefficient editor screen. The display format of solutions is in accordance with the input/ output format and complex number display format settings of the calculators setup screen. Note that you cannot transform values to engineering notation while an equation solution is displayed. Appendix Equation Calculation: <#091> to <#095>

#### Matrix Calculations

(MATRIX)

You can save matrices under the names MatA, MatB, and MatC in matrix memory. Matrix calculation results are stored in a special Matrix Answer Memory named MatAns. All calculations in this section are performed in the MATRIX Mode (N6).

k Creating and Managing a Matrix

Creating a Matrix and Storing It in Matrix Memory

(1) In the MATRIX Mode, press 14(MATRIX)1(Dim). This displays the matrix selection screen.

Copying the Contents of One Vector to Another Vector

You can copy the contents of Vector Answer Memory (VctAns) or of a vector in vector memory to another vector in vector memory. The vector copy operation is basically the same as the matrix copy operation. See Copying the Contents of One Matrix to Another Matrix for more information.

k Performing Vector Calculations

To perform a vector calculation, display the vector calculation screen by pressing the A key.

Vector Answer Memory Screen

The Vector Answer Memory screen shows the result of the last vector calculation.

#### Stands for VctAns.

You cannot edit the contents of a cell. To switch to the vector calculation screen, press A.

#### k Vector Menu Items

The following are the menu items on the vector menu that appears when you press 15(VECTOR). Select this menu item: When you want to do this: 1Dim 2Data 3VctA 4VctB 5VctC 6VctAns 7Dot Select a vector (VctA, VctB, VctC) and specify its dimension Select a vector (VctA, VctB, VctC) and display its data on the vector editor screen Input VctA Input VctB Input VctC Input VctAns Input the command for obtaining the dot product of a vector

Appendix <#106> Store VctA = (1, 2) and VctC = (2, 1, 2). <#107> Copy VctA = (1, 2) to VctB and then edit Vector B to VctB = (3, 4). The following examples use the vectors input in Examples <#106> and <#107> (VctA, VctB, VctC). <#108> VctA + VctB (Vector Addition) <#109> 3 VctA (Vector Scalar Multiplication) VctB 3 VctA (Calculation example using VctAns) <#110> VctA VctB (Vector Dot Product) <#111> VctA VctB (Vector Cross Product) <#112> Obtain the absolute values of VctC. <#113> Determine the size of the angle (angle unit: Deg) formed by vectors A = (1, 0, 1) and B = (1, 2, 0), and one of the size 1 vectors perpendicular to both A and B. (AB) (AB) *1 cos = , which becomes = cos1 AB AB (A B) *2 Size 1 vector perpendicular to both A and B = A B

#### Scientific Constants

Your calculator comes with 40 built-in constants that are commonly used in scientific calculations. You can use the scientific constants in any calculation mode except for BASE-N. To recall a scientific constant, press 17(CONST). This displays the scientific constant menu. Input the two-digit number that corresponds to the constant you want to recall. When you recall a constant, its unique symbol appears on the display. The following are all of the built-in scientific constants. 01: proton mass; 02: neutron mass; 03: electron mass; 04: muon mass; 05: Bohr radius; 06: Planck constant; 07: nuclear magneton; 08: Bohr magneton; 09: Planck constant, rationalized; 10: finestructure constant; 11: classical electron radius; 12: Compton wavelength; 13: proton gyromagnetic ratio; 14: proton Compton wavelength; 15: neutron Compton wavelength; 16: Rydberg constant; 17: atomic mass unit; 18: proton magnetic moment; 19: electron magnetic moment; 20: neutron magnetic moment; 21: muon magnetic moment; 22: Faraday constant; 23: elementary charge; 24: Avogadro constant; 25: Boltzmann constant; 26: molar volume of ideal gas; 27: molar gas constant; 28: speed of light in vacuum; 29: first radiation constant; 30: second radiation constant; 31: Stefan-Boltzmann constant; 32: electric constant; 33: magnetic constant; 34: magnetic flux quantum; 35: standard acceleration of gravity; 36: conductance quantum; 37: characteristic impedance of vacuum; 38: Celsius temperature; 39: Newtonian constant of gravitation; 40: standard atmosphere

The values are based on ISO Standards (1992) and CODATA Recommended Values (1998). For details, see Appendix <#114>. Appendix <#115> and <#116> Perform all of these examples in the COMP Mode (N1).

#### Metric Conversion

The calculators built-in metric conversion commands make it simple to convert values from one unit to another. You can use the metric conversion commands in any calculation mode except for BASE-N and TABLE. To recall a metric conversion command, press 18(CONV). This displays the metric conversion command menu. Input the two-digit number that corresponds to the metric conversion you want to recall. See Appendix <#117> for a list of all of the metric conversion commands and conversion formulas. Conversion formula data is based on the NIST Special Publication 811 (1995). * cal uses the NIST value at 15C. Appendix <#118> to <#120> Perform all of these examples in the COMP Mode (N1).

#### Technical Information

k Calculation Priority Sequence

The calculator performs calculations according to a calculation priority sequence. Basically, calculations are performed from left to right. Expressions within parentheses have the highest priority. The following shows the priority sequence for each individual command. 1. Function with parentheses: Pol(, Rec(

#### (, d/dx(, (

P(, Q(, R( sin(, cos(, tan(, sin1(, cos1(, tan1(, sinh(, cosh(, tanh(, sinh1(, cosh1(, tanh1( log(, ln(, e^(, 10^(, '(, 3'( arg(, Abs(, Conjg( Not(, Neg( det(, Trn( Rnd( 2. Functions preceded by values, powers, power roots: x2, x3, x1, x!, , , r, g, ^(, x'( Normalized variate: ' t Percent: %

3. Fractions: a b/c 4. Prefix symbol: () (negative sign) d, h, b, o (base n symbol) 5. Metric conversion commands: cm'in, etc. Statistical estimated value calculation: m, n, m1, m2 6. Permutations, combinations: nPr, nCr Complex polar form symbol: 7. Dot product: (Dot) 8. Multiplication and division: , Multiplication where sign is omitted: Multiplication sign omitted immediately before , e, variables, scientific constants (2, 5A, A, 3mp, 2i, etc.), functions with parentheses (2'(3), Asin(30), etc.) 9. Addition and subtraction: +, 10. Logical AND: and 11. Logical OR, XOR, XNOR: or, xor, xnor If a calculation contains a negative value, you may need to enclose the negative value in parentheses. If you want to square the value 2, for example, you need to input: (2)2. This is because x2 is a function preceded by a value (Priority 2, above), whose priority is greater than the negative sign, which is a prefix symbol (Priority 4). Example: y2w= (y2)w= 22 = 4 (2)2 = 4

Multiplication and division, and multiplication where the sign is omitted are the same priority (Priority 8), so these operations are performed from left to right when both types are mixed in the same calculation. Enclosing an operation within parentheses causes it to be performed first, so the use of parentheses can result in different calculation results. Example: 1/2i= 1/(2i)= 1 i 1 (2i) = i 2i =

ex ' x x2 1/x 3' x x! nPr nCr

#### Pol(x, y) Rec(r, )

y ^(x )

x0: 110100 ylogx100 x0: y0 x0: yn, m (m, n are integers) 2n+1 However: 110100 ylogx100 y0: x G 0, 1101001/x logy100 y0: x0 y0: x2n1, 2n+1 (m G 0; m, n are integers) m However: 110100 1/x logy100

Total of integer, numerator, and denominator must be 10 digits or less (including division marks).

Precision is basically the same as that described under Calculation Range and Precision, above. y ^(xy), x', 3', x!, nPr, nCr type functions require consecutive internal calculation, which can cause accumulation of errors that occur with each calculation. Error is cumulative and tends to be large in the vicinity of a functions singular point and inflection point.

#### k Error Messages

The calculator will display an error message when a result exceeds the calculation range, when you attempt an illegal input, or whenever any other similar problem occurs.

When an error message appears.

The following are general operations you can use when any error message appears. Pressing d or e displays to the calculation expression editing screen you were using before the error message appeared, with the cursor located at the position of the error. For more information, see Displaying the Location of an Error. Pressing A clears the calculation expression you input before the error message appeared. You can then re-input and re-execute the calculation, if you want. Note that in this case, the original calculation will not be retained in calculation history memory.

#### 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 (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.

#### Stack ERROR

Cause The calculation you are performing has caused the capacity of the numeric stack or the command stack to be exceeded. The calculation you are performing has caused the capacity of the matrix stack to be exceeded. The calculation you are performing has caused the capacity of the vector stack to be exceeded. Action Simplify the calculation expression so it does not exceed the capacity of the stack. Try splitting the calculation into two or more parts.

#### Reference

k Power Requirements and Battery Replacement

Your calculator uses a TWO WAY POWER system that combines a solar cell with G13 type button battery (LR44). Normally, calculators equipped with a solar cell alone can operate only when relatively bright light is present. The TWO WAY POWER system, however, lets you continue to use the calculator as long as there is enough light to read the display.

#### Replacing the Battery

Dim display figures when available lighting is dim or failure of anything to appear on the display immediately when you turn on the calculator indicates that button battery power is low. Note that you will not be able to use the calculator if its button battery is dead. When any of these symptoms occur, replace the button battery. Even if the calculator is operating normally, replace the battery at least once every three years.

Removing the button battery from the calculator causes independent memory contents and values assigned to variables to be cleared.

1 Press 1A(OFF) to turn off the calculator. To ensure that you do not accidentally turn on power while replacing the battery, slide the hard case onto the front of the calculator. 2 On the back of the calculator, remove the screw and the battery cover. 3 Remove the old battery. 4 Wipe a new battery with a dry cloth, and then load it into the calculator with its positive k side facing upwards (so you can see it). 5 Replace the battery cover and secure it in place with its screw.

6 Perform the following key operation: O19(CLR)3(All)=(Yes). Make sure you perform the above key operation. Do not skip it.

#### Auto Power Off

Your calculator will turn off automatically if you do not perform any operation for about six minutes. If this happens, press the O key to turn the calculator back on.

#### Specifications

Power Requirements: Solar Cell: Built into the front of the calculator Button Battery: G13 Type (LR44) 1 Battery Life: Approximately 3 years (Based on one hour of operation per day.) Operating Temperature: 0C to 40C Dimensions: 12.2 (H) 80 (W) 161 (D) mm 1/2 (H) 31/8 (W) 65/16 (D) Approximate Weight: 105g (3.7 oz) including the battery Bundled Items: Hard Case

#### Casio fx-115ES/fx-991ES

Clear previous data: Press (switching mode or changing statistical views clears data) Set up for Frequencies Press Change to Statistics Mode (4:STAT) (1:ON)

(you will see STAT at the top of the screen.) Press Prepare to enter data Press column.) (STAT) (DATA) (You should see and X column and a FREQ

Entering Data (single list of data point with each with frequency 1) Press first data number. Press. You will see the number in the X column and a 1 in the FREQ column. Press second data number. Press.

Entering Data (from a frequency distribution) Press first data number. Press. You will see the number in the X column and a 1 in the FREQ column. Press second data number. Press.

Continue until you have entered all the data.

Continue until you have entered all the data. Press and the press until you are in the first row of the FREQ column Press first frequency number. Press. You will see the number in the X column and the input frequency in the FREQ column. Press first frequency number. Press.

Continue until you have entered all the frequencies. Calculating mean and standard deviation

#### Press Press Press Press

to get to the statistics calculation screen. (STAT) (STAT) (STAT) to see the number of total data points. to see the mean x. to see the standard deviation xn 1.

#### SETUP MODE SHIFT

arrow keys

#### STAT =

### Technical specifications

## Full description

The versatile Casio FX115ES is an advanced scientific solar powered calculator that can do metric conversions and has natural 2-line textbook display that shows formula and results exactly as they appear in the textbook. It performs equation calculations, 40 metric conversions, matrix and vector calculations, and has an easy menu function, table function, list-based STAT data editor, and fraction functions. It solves calculations and multi-replay function. The Solar Plus feature protects memory no matter what the lighting conditions and it has an accurate 10-digit, 10 + 2 display, and 1 independent and 6 constant memories. Includes slide-on hard case. Solar powered w/battery backup (includes batteries).

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