EN fx-570ES PLUS fx-991ES 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............................................................ 27 Pi (π), Natural Logarithm Base e............................................................ 27 Trigonometric Functions........................................................................ 27 Hyperbolic Functions............................................................................. 27 Angle Unit Conversion........................................................................... 28 Exponential Functions..........
Matrix Calculations (MATRIX)................................................................61 Matrix Answer Memory................................................................................. 63 Assigning and Editing Matrix Variable Data.................................................. 63 Matrix Calculation Examples.........................................................................64 Creating a Numerical Table from a Function (TABLE)........................... 65 Vector Calculations (VECTOR)...
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. fx-570ES PLUS: Every 2 years fx-991ES PLUS: Every 3 years • A dead battery can leak, causing damage to and malfunction of 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 (SETUP) ( CONT 2. Use and to adjust display contrast. 3. After the setting is the way you want, press ). .
Example: (sin-1)* 1 * 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.
Calculation history memory data is available and can be replayed, or there is more data above/ below the current screen. Disp The display currently shows an intermediate result of a multi-statement calculation. 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.
Calculation Modes and Calculator Setup Calculation Mode Before starting a calculation, you must first enter the correct mode as indicated in the table below.
Underlined ( ___ ) settings are initial defaults. Specifying the Display Format To specify this display format: Perform this key operation: Natural Display (MthIO-MathO) (SETUP) (MthIO) (MathO) Natural Display (MthIO-LineO) (SETUP) (MthIO) (LineO) Linear Display (LineIO) (SETUP) (LineIO) Natural Display (MthIO-MathO, MthIO-LineO) causes fractions, irrational numbers, and other expressions to be displayed as they are written on paper.
MthIO-LineO (Number Format: Norm 2) LineIO (Number Format: Norm 1) Note • The calculator switches to Linear Display automatically whenever you enter the STAT, BASE-N, MATRIX, or VECTOR Mode. Specifying the Default Angle Unit To specify this as the default angle unit: Perform this key operation: Degrees (SETUP) (Deg) Radians (SETUP) (Rad) Grads (SETUP) (Gra) 90°= π/2 radians = 100 grads Specifying the Number Format 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: (LineIO) 100 ÷ 7 = 14.286 (Fix 3) 14.29 (Fix 2) Sci: The value you specify (from 0 to 9) controls the number of significant digits for displayed calculation results. Calculation results are rounded off to the specified digit before being displayed. Example: (LineIO) 1 ÷ 7 = 1.4286 × 10-1 (Sci 5) 1.
Specifying the Stat Format Specifies whether or not to display a FREQ (frequency) column in the STAT Mode Statistics Editor. To specify this: Perform this key operation: Show FREQ Column (SETUP) (STAT) (ON) Hide FREQ Column (SETUP) (STAT) (OFF) Specifying the Decimal Point Display Format Specifies whether to display a dot or a comma for the calculation result decimal point. A dot is always displayed during input. To specify this decimal point display format: Perform this key operation: Dot (.
Angle Unit Deg Number Format Norm 1 Fraction Display Format d/c Complex Number Format a+bi Stat Format OFF Decimal Point Dot 15
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 and overwrite modes by performing the operations: (INS). The 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 and execute them in sequence from left to right when you press .
0.000123×106 (←) Calculation History and Replay Calculation History In the COMP, CMPLX, or BASE-N 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.
Using Memory Functions Answer Memory (Ans) The last calculation result obtained is stored in Ans (answer) memory. Ans memory contents are updated whenever a new calculation result is displayed. 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.
To recall the contents of variable A (Continuing) (A) 8 (A) 0 To clear the contents of variable A 0 (STO) 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.
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) 4 2 16 4 Example 3: log2(43) = 6 (MthIO-MathO, MthIO-LineO) (x3) 2 6 Example 4: log2(4)3 = 8 (MthIO-MathO, MthIO-LineO) 2 (x3) 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 22 , x-1. If you will be ignored. To input 2 , input 2 , (MthIO-MathO). • x2, x3, x-1 can be used in complex number calculations.
Example 2: ∫( 1 , 1, 5, 1 × 10-7) = 0.8 (LineIO) x2 1 (X) (,) 1 1 (,) 5 (,) 0.8 7 π Example 3: ∫0 (sin x + cos x)2 dx = π (tol: Not specified) (MthIO-MathO) (Angle unit: Rad) (X) (X) 0 (π) Integration Calculation Precautions • Integration calculation can be performed in the COMP Mode only. • The following cannot be used in f(x), a, b, or tol: Pol, Rec, ∫, d/dx, Σ. • When using a trigonometric function in f(x), specify Rad as the angle unit.
(1) Positive Part (2) Negative Part When integration values fluctuate widely due to minute shifts in the integration interval Divide the integration interval into multiple parts (in a way that breaks areas of wide fluctuation into small parts), perform integration on each part, and then combine the results. Differential Calculations Function for approximation of the derivative based on the central difference method.
Differential Calculation Precautions • Differential calculation can be performed in the COMP Mode only. • The following cannot be used in f(x), a, b, or tol: Pol, Rec, ∫, d/dx, Σ. • When using a trigonometric function in f(x), specify Rad as the angle unit. • A smaller tol value increases precision, but it also increases calculation time. When specifying tol, use value that is 1 × 10-14 or greater.
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. 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°.
Factorial Function (!) Example: (5 + 3)! = 40320 5 3 (x!) 40320 Absolute Value Function (Abs) Note that the input method is different depending upon whether you are using Natural Display or Linear Display. Example: |2 - 7| × 2 = 10 (MthIO-MathO) (Abs) 2 7 2 10 (Abs) 2 7 2 10 (LineIO) 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.
(RanInt) 1 (,) 6 2 6 1 (Results shown here are for illustrative purposes only. Actual results will differ.) Permutation (nPr) and Combination (nCr) Example: To determine the number of permutations and combinations possible when selecting four people from a group of 10.
Using CALC CALC lets you save calculation expressions that contain variables, which you can then recall and execute in the COMP Mode and the CMPLX Mode. The following describes the types of expressions you can save with CALC. • Expressions: 2X + 3Y, 2AX + 3BX + C, A + Bi • Multi-statements: X + Y : X(X + Y) • Equations with a single variable on the left and an expression including variables on the right: A = B + C, Y = X2 + X + 3 (Use (=) to input the equals sign of the equality.
(CMPLX) (A) (B) (i) (CMPLX) ( r∠θ) 3 (or 1 )1 2∠30 3 2∠60 To exit CALC: Note • During the time from when you press until you exit CALC by pressing , you should use Linear Display input procedures for input. Using SOLVE SOLVE uses Newton's method to approximate the solution of equations. Note that SOLVE can be used in the COMP Mode only. The following describes the types of equations whose solutions can be obtained using SOLVE.
(SOLVE) (1) Prompts for input of a value for Y (2) Current value of Y 0 1 2 (3) Current value of X Input an initial value for X (Here, input 1): 1 Solution Screen To exit SOLVE: Note • During the time from when you press pressing (SOLVE) until you exit SOLVE by , you should use Linear Display input procedures for input. Important! • Depending on what you input for the initial value for X (solution variable), SOLVE may not be able to obtain solutions.
(1) Equation (The equation you input.) (2) Variable solved for (3) Solution (4) (Left Side) - (Right Side) result "(Left Side) - (Right Side) result" shows the result when the right side of the equation is subtracted from the left side, after assigning the obtained value to the variable being solved for. The closer this result is to zero, the higher the accuracy of the solution. Continue Screen SOLVE performs convergence a preset number of times.
7 13 Scientific Constants Your calculator comes with 40 built-in scientific constants that can be used in any mode besides BASE-N. Each scientific constant is displayed as a unique symbol (such as π), which can be used inside of calculations. (CONST) To input a scientific constant into a calculation, press and then input the two-digit number that corresponds to the constant you want.
07: (μN) nuclear magneton 08: (μB) Bohr magneton 09: ( ) Planck constant, rationalized 10: (α) fine-structure constant 11: (re) classical electron radius 12: (λC) Compton wavelength 13: (γp) proton gyromagnetic ratio 15: (λCn) neutron Compton wavelength 17: (u) atomic mass unit 19: (μe) electron magnetic moment 14: (λCp) proton Compton wavelength 16: (R∞) Rydberg constant 18: (μp) proton magnetic moment 20: (μn) neutron magnetic moment 21: (μμ) muon magnetic moment 22: (F) Faraday constant 23: (e)
Metric Conversion The calculator's 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 input a metric conversion command into a calculation, press (CONV) and then input the two-digit number that corresponds to the command you want.
17: pc km 18: km pc 19: km/h m/s 20: m/s km/h 21: oz g 22: g oz 23: lb kg 24: kg lb 25: atm Pa 26: Pa atm 27: mmHg Pa 28: Pa mmHg 29: hp kW 30: kW hp 31: kgf/cm2 Pa 32: Pa kgf/cm2 33: kgf • m J 34: J kgf • m 35: lbf/in2 kPa 36: kPa lbf/in2 37: °F °C 38: °C °F 39: J cal 40: cal J Conversion formula data is based on the "NIST Special Publication 811 (2008)". Note • The J cal command performs conversion for values at a temperature of 15°C.
Using Calculation Modes Complex Number Calculations (CMPLX) To perform complex number calculations, first press enter the CMPLX Mode. (CMPLX) to You can use either rectangular coordinates (a+bi) or polar coordinates (r∠θ) to input complex numbers. Complex number calculation results are displayed in accordance with the complex number format setting on the setup menu.
CMPLX Mode Calculation Examples Example 1: (1 - i)-1 = 1 1 + i (MthIO-MathO) (Complex number format: a 2 2 +bi) 1 1 1 + i 2 2 (i) Example 2: (1 + i)2 + (1 - i)2 = 0 (MthIO-MathO) 1 (i) 1 (i) 0 Example 3: To obtain the conjugate complex number of 2 + 3i (Complex number format: a+bi) (CMPLX) (Conjg) 2 3 (i) 2-3i Example 4: To obtain the absolute value and argument of 1 + i (MthIOMathO) (Angle unit: Deg) Absolute Value (Abs): (Abs) 1 (i) √2 Argument (arg): (CMPLX) (arg) 1 (i) 45 Using a C
To select this type of statistical calculation: (Regression formula shown in parentheses) Press this key: Single-variable (X) (1-VAR) Paired-variable (X, Y), linear regression (y = A + Bx) (A+BX) Paired-variable (X, Y), quadratic regression (y = A + Bx + Cx2) (_+CX2) Paired-variable (X, Y), logarithmic regression (y = A + Blnx) (ln X) Paired-variable (X, Y), e exponential regression (y = A eBx) (e∧X) Paired-variable (X, Y), ab exponential (y = ABx) (A•B∧X) Paired-variable (X, Y), power regress
The Statistics Editor provides 80 rows for data input when there is an X column only, 40 rows when there are X and FREQ columns or X and Y columns, or 26 rows when there are X, Y, and FREQ columns. Note • Use the FREQ (frequency) column to input the quantity (frequency) of identical data items. Display of the FREQ column can be turned on (displayed) or off (not displayed) using the Stat Format setting on the setup menu.
To delete all Statistics Editor contents: In the Statistics Editor, perform the following key operation: (STAT) (Edit) (Del-A). Statistics Calculation Screen The Statistics Calculation Screen is for performing statistical calculations with the data you input with the Statistics Editor. Pressing the key while the Statistics Editor is displayed switches to the Statistics Calculation Screen.
(Var) Display the Var sub-menu of commands for calculating the mean, standard deviation, etc. Single-variable: (Distr) Display the Distr sub-menu of commands for normal distribution calculations • For more information, see "Performing Normal Distribution Calculations".
Distr Sub-menu ( (STAT) (Distr)) (P() (Q() (R() This menu can be used to calculate the probability of standard normal distribution. • For details see "Performing Normal Distribution Calculations".
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 (STAT) (Reg)) Reg Sub-menu ( 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.
(110, 7310), (200, 8800), (290, 9310). Specify Fix 3 (three decimal places) for results. (SETUP) (STAT) (OFF) (SETUP) (Fix) (STAT) (A+BX) 110 200 290 20 3150 7310 8800 9310 (STAT) (Reg) (r) 0.923 (STAT) (STAT) (Type) (Reg) (ln X) (r) 0.998 (STAT) (Reg) (A) -3857.984 (STAT) (Reg) (B) 2357.532 Results: Linear Regression Correlation Coefficient: 0.923 Logarithmic Regression Correlation Coefficient: 0.998 Logarithmic Regression Formula: y = -3857.984 + 2357.
menu that appears when you perform the following key operation: (STAT) (Distr). P, Q, R: These functions take the argument t and determine a probability of standard normal distribution as illustrated below. t: This function is preceded by the argument X, and determines the X-x .
The initial default number mode when you enter the BASE-N Mode is decimal, which means input and calculation results use the decimal number format. Press one of the following keys to switch number modes: (DEC) for decimal, (HEX) for hexadecimal, (BIN) for binary, or (OCT) for octal.
Decimal Hexadecimal -2147483648 ≦ x ≦ 2147483647 Positive: 00000000 ≦ x ≦ 7FFFFFFF Negative: 80000000 ≦ x ≦ FFFFFFFF Specifying the Number Mode of a Particular Input Value You can input a special command immediately following a value to specify the number mode of that value. The special commands are: d (decimal), h (hexadecimal), b (binary), and o (octal).
Press this key: When you want to input this: (and) Logical operator "and" (logical product), which returns the result of a bitwise AND (or) Logical operator "or" (logical sum), which returns the result of a bitwise OR (xor) Logical operator "xor" (exclusive logical sum), which returns the result of a bitwise XOR (xnor) Logical operator "xnor" (exclusive negative logical sum), which returns the result of a bitwise XNOR (Not) "Not(" function, which returns the result of a bitwise complement (Neg)
(BASE) (Not) 1010 1111111111110101 Example 6: To negate (take the two's complement) of 101101 2 (Neg(1011012)) (BASE) (Neg) 101101 1111111111010011 Note • In the case of a negative binary, octal or hexadecimal value, the calculator converts the value to binary, takes the two's complement, and then converts back to the original number base. For decimal (base-10) values, the calculator merely adds a minus sign.
• To solve 2x2 + x - 3 = 0, for example, press in step 2, and then 1 input the following for the coefficients (a = 2, b = 1, c = -3): 2 3 . • 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. 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.
(EQN) Example 3: x2 + x + (anX + bnY + cnZ = dn) 1 1 1 2 1 1 1 0 1 1 1 4 (X=) 1 (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 Matrix Calculations (MATRIX) Use the MATRIX Mode to perform calculations involving matrices of up to 3 rows by 3 col
1. Press (MATRIX) to enter the MATRIX Mode. 2. Press (MatA) (2×2). • This will display the Matrix Editor for input of the elements of the 2 × 2 matrix you specified for MatA. (1) "A" stands for "MatA". 3. Input the elements of MatA: 2 1 1 1 . 4. Perform the following key operation: (MATRIX) (Data) (MatB) (2×2). • This will display the Matrix Editor for input of the elements of the 2 × 2 matrix you specified for MatB. 1 1 2 . 5. Input the elements of MatB: 2 6.
Matrix Answer Memory Whenever the result of a calculation executed in the MATRIX Mode is a matrix, the MatAns screen will appear with the result. The result also will be assigned to a variable named "MatAns". The MatAns variable can be used in calculations as described below. • To insert the MatAns variable into a calculation, perform the following key operation: (MATRIX) (MatAns).
• If you want to copy MatA, for example, perform the following key operation: (MATRIX) (Data) (MatA). • If you want to copy MatAns contents, perform the following to display the MatAns screen: (MATRIX) (MatAns) . 2. Press (STO), and then perform one of the following key operations to specify the copy destination: (MatA), (MatB), or (MatC). • This will display the Matrix Editor with the contents of the copy destination.
(MATRIX) (MATRIX) (MatA) (x3) (MatA) Creating a Numerical Table from a Function (TABLE) TABLE generates a numerical table for x and f(x) using an input f(x) function. Perform the following steps to generate a numerical table. 1. Press (TABLE) to enter the TABLE Mode. 2. Input a function in the format f(x), using the X variable. • Be sure to input the X variable ( (X)) when generating a numerical table. Any variable other than X is handled as a constant.
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. If you specify Start = 1 and Step = 1, X sequentially will be assigned the values 1, 2, 3, 4, and so on to generate the numerical table until the End value is reached. Step? • Inputting the Step value and pressing generates and displays the numerical table in accordance with the parameters you specified.
Important! • The function you input for numerical table generation is deleted whenever you display the setup menu in the TABLE Mode and switch between Natural Display and Linear Display. Vector Calculations (VECTOR) Use the VECTOR Mode to perform 2-dimensional and 3-dimensional vector calculations. To perform a vector calculation, you first assign data to special vector variables (VctA, VctB, VctC), and then use the variables in the calculation as shown in the example below.
(2) "Ans" stands for "VctAns". Note: "VctAns" stands for "Vector Answer Memory". See "Vector Answer Memory" for more information. Vector Answer Memory Whenever the result of a calculation executed in the VECTOR Mode is a vector, the VctAns screen will appear with the result. The result also will be assigned to a variable named "VctAns". The VctAns variable can be used in calculations as described below.
• If you want to copy VctA, for example, perform the following key operation: (VECTOR) (Data) (VctA). • If you want to copy VctAns contents, perform the following to display the VctAns screen: (VECTOR) (VctAns) . 2. Press (STO), and then perform one of the following key operations to specify the copy destination: (VctA), (VctB), or (VctC). • This will display the Vector Editor with the contents of the copy destination.
Example 7: Determine the angle formed by VctA and VctB to three decimal places (Fix 3).
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.
• You are trying to perform a calculation with matrices or vectors whose dimensions do not allow that type of calculation. Action: • Specify the dimension of the matrix or vector and then perform the calculation again. • Check the dimensions specified for the matrices or vectors to see if they are compatible with the calculation. Variable ERROR (SOLVE feature only) Cause: • You did not specify a solution variable, and there is no X variable in the equation you input.
Action: • Try increasing the tol value. Note that this also decreases solution precision. 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.
8 Permutation (nPr), combination (nCr), complex number polar coordinate symbol (∠) 9 Dot product (•) 10 Multiplication (×), division (÷) 11 Addition (+), subtraction (-) 12 and (logical operator) 13 or, xor, xnor (logical operators) Note • When squaring a negative value (such as -2), the value being squared must be the negative sign, inputting ).
Function Calculation Input Ranges and Precision Functions Input Range Deg sinx cosx Rad Gra Deg tanx Rad Gra sin-1x, cos-1x tan-1x sinhx, coshx sinh-1x cosh-1x tanhx tanh-1x logx, lnx 10x 0 ≦ |x| < 9 × 109 0 ≦ |x| < 157079632.7 0 ≦ |x| < 1 × 1010 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.
x! nPr nCr Pol(x, y) Rec(r, θ) °’ ” ← °’ ” xy 0 ≦ x ≦ 69 (x is an integer) 0 ≦ n < 1 × 1010, 0 ≦ r ≦ n (n, r are integers) 1 ≦ {n!/(n-r)!} < 1 × 10100 0 ≦ n < 1 × 1010, 0 ≦ r ≦ n (n, r are integers) 1 ≦ n!/r! < 1 × 10100 or 1 ≦ n!/(n-r)! < 1 × 10100 |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.
• Error is cumulative and tends to be large in the vicinity of a function's singular point and inflection point. • The range for calculation results that can be displayed in π form when using Natural Display is |x| < 106. Note, however, that internal calculation error can make it impossible to display some calculation results in π form. It also can cause calculation results that should be in decimal form to appear in π form.
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. - Calculator ID number (24-character string) - QR Code for accessing the Worldwide Education Service (https://wes.casio.com/calc/) 3. Access the above site. 4. Follow the instructions on the display to verify the authenticity of your calculator.
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 82 15 0.
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