EN fx-100AU 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............................................................ 30 Pi (π), Natural Logarithm Base e............................................................ 30 Trigonometric Functions........................................................................ 30 Hyperbolic Functions............................................................................. 30 Angle Unit Conversion........................................................................... 31 Exponential Functions..........
Before Assuming Malfunction of the Calculator... ............................... 62 Replacing the Battery.............................................................................62 Calculation Priority Sequence................................................................63 Calculation Ranges, Number of Digits, and Precision........................... 64 Calculation Range and Precision.................................................................. 64 Function Calculation Input Ranges and Precision.
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-100AU PLUS: Every 2 years • A dead battery can leak, causing damage to and malfunction of the calculator. Never leave a dead battery in the calculator.
Turning Power On and Off • Press • Press to turn on the calculator. (OFF) to turn off the calculator. Note • The calculator also will turn off automatically after approximately 10 minutes of nonuse. Press the key to turn the calculator back on. Adjusting Display Contrast 1. Press (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.
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. 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.
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-MathO displays input and calculation results using the same format as they are written on paper.
LineIO (Number Format: Norm 1) Note • The calculator switches to Linear Display automatically whenever you enter the STAT, BASE-N, 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.
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) 1.429 × 10-1 (Sci 4) 1.428571429 × 10-1 (Sci 0) Norm: Selecting one of the two available settings (Norm 1, Norm 2) determines the range in which results will be displayed in exponential format.
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 (.) (SETUP) (Disp) (Dot) Comma (,) (SETUP) (Disp) (Comma) Note • When dot is selected as the decimal point, the separator for multiple results is a comma (,).
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.
Examples: 6 ÷ 2 (1 + 2) → 6 ÷ (2 (1 + 2)) 6 ÷ A (1 + 2) → 6 ÷ (A (1 + 2)) 1 ÷ (2 + 3) sin(30) → 1 ÷ ((2 + 3) sin(30)) - When a multiplication sign is omitted immediately before a variable, a constant, etc. Examples: 6 ÷ 2π → 6 ÷ (2π) 2 ÷ 2√2 → 2 ÷ (2√2) 4π ÷ 2π → 4π ÷ (2π) - When inputting a function that uses commas (such as Pol, Rec, and RanInt#), be sure to input the closed parentheses required by the expression.
• The cursor will change shape to when there are 10 bytes or less of allowed input remaining. If this happens, end calculation input and then press . Inputting with Natural Display Selecting Natural Display makes it possible to input and display fractions and certain functions ( , , , , , , , , , Abs) just as they are written in your textbook.
1 7 6 (INS) As shown above, the value or expression to the right of the cursor after (INS) are pressed becomes the argument of the function that is specified next. The range encompassed as the argument is everything up to the first open parenthesis to the right, if there is one, or everything up to the first function to the right (sin(30), log(4), etc.) This capability can be used with the following functions: , ( ), ( ), ( ), ( ), , , ( ), .
To insert a character or function into a calculation: Use and to move the cursor to the location where you want to insert the character or function and then input it. Be sure always to use the insert mode if Linear Display is selected. To clear all of the calculation you are inputting: Press .
Basic Calculations key to enter the COMP Mode when you want to perform Use the basic calculations. (COMP) Toggling Calculation Results Each press of will toggle the currently displayed calculation result between its decimal form and fraction form. Example 1: 1 ÷ 5 = 0.2 = 1 (MthIO-LineO) 5 1 Example 2: 1 ÷ 5 = 0.2 = 5 1 (LineIO) 5 1 Example 3: 1 - 1 5 0.2 5 0.2 1 5 5 1 5 0.2 4 1 = = 0.
Note • With Natural Display (MathO), pressing instead of after inputting a calculation will display the calculation result in decimal form. Fraction Calculations Note that the input method for fractions is different, depending upon whether you are using Natural Display or Linear Display.
Percent Calculations Inputting a value and pressing become a percent. (%) causes the input value to Example 1: 150 × 20% = 30 150 20 (%) 30 Example 2: Calculate what percentage of 880 is 660 (75%) 660 880 (%) 75 Example 3: Increase 2500 by 15% (2875) 2500 2500 15 (%) 2875 Example 4: Decrease 3500 by 25% (2625) 3500 3500 25 (%) 2625 Degree, Minute, Second (Sexagesimal) Calculations You can perform calculations using sexagesimal values, and convert values between sexagesimal and decimal.
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 . Example: 3 + 3 : 3 × 3 3 3 (:) 3 3 6 9 Using Engineering Notation A simple key operation transforms a displayed value to engineering notation. Example 1: Transform the value 1234 to engineering notation, shifting the decimal point to the right.
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. Example 2: To perform prime factorization on 4104676 (= 22 × 10132) 4104676 4104676 (FACT) Any one of the following operations will exit prime factorization result display. - Pressing (FACT) or . or .
3+3=6 3 3 6 (Scrolls back.) 4 (Scrolls back again.) 2 Note • Calculation history data is all cleared whenever you press , when you change to a different calculation mode, when you change the display format, or whenever you perform the following operations: (CLR) (All) (CLR) (Setup) (Yes), (Yes). Replay While a calculation result is on the display, you can press edit the expression you used for the previous calculation.
Inputting Ans Memory Contents into an Expression Example: To perform the calculations shown below: (MthIO-LineO) 123 456 579 (Continuing) 789 Using PreAns Memory Example: For Tk+2 = Tk+1 + Tk (Fibonacci sequence), determine the sequence from T1 to T5. Note however, that T1 = 1 and T2 = 1.
Result: The sequence is {1, 1, 2, 3, 5}. Variables (A, B, C, D, E, F, M, X, Y) Your calculator has nine preset variables named A, B, C, D, E, F, M, X, and Y. You can assign values to variables and use the variables in calculations.
Note • Variable M is used for independent memory. Clearing the Contents of All Memories Ans memory, independent memory, and variable contents are retained , change the calculation mode, or turn off the even if you press calculator. PreAns memory contents are retained even if you press and turn off the calculator without exiting the COMP Mode. Perform the following procedure when you want to clear the contents of all memories.
Function Calculations key to enter the COMP Mode when you want to perform Use the function calculations. (COMP) 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 ).
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: 1.2 × 103 = 1200 (MthIO-LineO) 1 2 10 3 1200 2 16 Example 2: (1 + 1)2+2 = 16 (MthIO-LineO) 1 1 2 Example 3: (52)3 = 15625 5 15625 Example 4: 5√32 = 2 (MthIO-LineO) ( (LineIO) 5 )5 ( 32 2 ) 32 2 Example 5: To calculate √2 × 3 (= 4.242640687...
Note • The following functions cannot be input in consecutive sequence: x2, x3, input 2 , for example, the final press the 2 3 key, and then press , x-1. If you 2 will be ignored. To input 22 , input 2 , (MthIO-LineO). -1 • x , x , x can be used in complex number calculations. Rectangular-Polar Coordinate Conversion Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates.
Example 2: To convert polar coordinates (√2, 45°) to rectangular coordinates (Angle unit: Deg) (MthIO-LineO) (Rec) 2 (,) 45 X = 1, Y = 1 Factorial Function (!) Example: (5 + 3)! = 40320 5 3 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-LineO) 2 7 2 10 2 7 2 10 (LineIO) Random Number (Ran#) Function that generates a pseudo random number in the range of 0.
Random Integer (RanInt#) For input of the function of the form RanInt#(a, b), which generates a random integer within the range of a to b. Example: To generate random integers in the range of 1 to 6 (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.
Example: To perform the following calculations when Fix 3 is selected for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3) × 3 (LineIO) (SETUP) (Fix) 10 3 3 (Rnd) 10 3 3 10.000 9.999 Greatest Common Divisor (GCD) and Least Common Multiple (LCM) Greatest Common Divisor (GCD) GCD determines the greatest common divisor of two values. Example: To determine the greatest common divisor of 28 and 35 (GCD) 28 (,) 35 7 Least Common Multiple (LCM) LCM determines the least common multiple of two values.
(cm in) Example 2: To convert 100 g into ounces (LineIO) 100 (CONV) (g oz) Example 3: To convert -31°C into Fahrenheit (LineIO) 31 (CONV) (°C °F) The following shows the two-digit numbers for each of the metric conversion commands.
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-LineO) (Complex number format: a 2 2 +bi) 1 1 1 + i 2 2 (i) Example 2: (1 + i)4 + (1 - i)2 = -4 - 2i (MthIO-LineO) 1 (i) 4 1 (i) -4-2i 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 (MthIOLineO) (Angle unit: Deg) Absolute Value (Abs): 1 (i) 1.
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 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".
(∑x) Sum of the X-data (∑y2) Sum of squares of the Y-data (∑y) Sum of the Y-data (∑xy) Sum of products of the X-data and Y-data (∑x3) Sum of cubes of the X-data (∑x2y) Sum of (X-data squares × Y-data) (∑x4) Sum of biquadrate of the X-data 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 (
(ŷ) MinMax Sub-menu ( Select this menu item: Estimated value of Y (STAT) (MinMax)) When you want to obtain this: (minX) Minimum value of the X-data (maxX) Maximum value of the X-data (minY) Minimum value of the Y-data (maxY) Maximum value of the Y-data 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 coeffi
items ({xn; freqn} = {1;1, 2;2, 3;3, 4;2, 5;1}), and calculate the mean and population standard deviation. (SETUP) 1 2 (STAT) (ON) (STAT) (1-VAR) 3 4 5 1 2 3 2 (STAT) (STAT) (Var) (Var) (x) 3 (σx) 1.154700538 Results: Mean: 3, Population Standard Deviation: 1.
Example 3. Specify Fix 3 for the result. (Perform the following operation after completing the operations in Example 3.) 130 (STAT) (Reg) (x̂) 4.861 Important! • Regression coefficient, correlation coefficient, and estimated value calculations can take considerable time when there are a large number of data items.
Results: Normalized variate ( t): -0.762 P(t): 0.223 Base-n Calculations (BASE-N) (BASE-N) to enter the BASE-N Mode when you want to Press perform calculations using decimal, hexadecimal, binary, and/or octal values. 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 (HEX) for hexadecimal, (BIN) for binary, or (OCT) for decimal, octal.
Note • Use the following keys to input the letters A through F for hexadecimal values: (A), (B), (C), (D), (E), (F). • In the BASE-N Mode, input of fractional (decimal) values and exponents is not supported. If a calculation result has a fractional part, it is cut off. • The input and output ranges is 16 bits for binary values, and 32 bits for other types of values. The following shows details about input and output ranges.
(DEC) 15 37 555 (HEX) 0000022B (BIN) 0000001000101011 (OCT) 00000001053 Logical and Negation Operations Your calculator provides you with logical operators (and, or, xor, xnor) and functions (Not, Neg) for logical and negation operations on binary values. (BASE) to input these Use the menu that appears when you press logical operators and functions.
Example 2: To determine the logical OR of 10112 and 110102 (10112 or 110102) 1011 (BASE) (or) 11010 0000000000011011 Example 3: To determine the logical XOR of 10102 and 11002 (10102 xor 11002) 1010 (BASE) (xor) 1100 0000000000000110 Example 4: To determine the logical XNOR of 11112 and 1012 (11112 xnor 1012) 1111 (BASE) (xnor) 101 1111111111110101 Example 5: To determine the bitwise complement of 10102 (Not(10102)) (BASE) (Not) 1010 1111111111110101 Example 6: To negate (take the two's compl
• You can select the equality symbol or inequality symbol from the menu that appears when you press (VERIFY). 3. To verify, press . You can input the following expressions for verification in the VERIFY Mode. • Equalities or inequalities that include one relational operator 4 = √16, 4 ≠ 3, π > 3, 1 + 2 ≦ 5, (3 × 6) < (2 + 6) × 2, etc. • Equalities or inequalities that include multiple relational operators 1 ≦ 1 < 1 + 1, 3 < π < 4, 22 = 2 + 2 = 4 < 6, 2 + 3 = 5 ≠ 2 + 5 = 8, etc.
• An expression in which a relational operator is inside of a fraction or 1=1 function (Example: , cos (8 ≦ 9)) 2 • An expression in which a relational operator is enclosed in parentheses (Example: 8 < (9 < 10)) • An expression in which multiple relational operators that are not oriented in the same direction (Example: 5 ≦ 6 ≧ 4) • An expression that contains two of the following operators in any combination (Example: 4 < 6 ≠ 8) • An expression that contains consecutive relational operators (Example: 5 ≧ >
2. Press (VctA) (2). • This will display the Vector Editor for input of the 2-dimensional vector for VctA. (1) "A" stands for "VctA". 3. Input the elements of VctA: 1 2 . 4. Perform the following key operation: (VECTOR) (Data) (VctB) (2). • This will display the Vector Editor for input of the 2-dimensional vector for VctB. 5. Input the elements of VctB: 3 4 . 6. Press to advance to the calculation screen, and perform the calculation (VctA+VctB): (VECTOR) (VctA) (VECTOR) (VctB) .
, . The calculation screen will show the VctAns variable followed by the operator or function for the key you pressed. Assigning and Editing Vector Variable Data Important! • The following operations are not supported by the Vector Editor: , (M-), (STO). Pol, Rec, and multi-statements also cannot be input with the Vector Editor. To assign new data to a vector variable: 1. Press (VECTOR) (Dim), and then, on the menu that appears, select the vector variable to which you want to assign data. 2.
Example 3: 3 × VctA (Vector scalar multiplication), 3 × VctA - VctB (Calculation example using VctAns) 3 (VECTOR) (VctA) (VECTOR) (VctB) Example 4: VctA • VctB (Vector dot product) (VECTOR) (VctA) (VECTOR) (Dot) (VECTOR) (VctB) Example 5: VctA × VctB (Vector cross product) (VECTOR) (VECTOR) (VctA) (VctB) Example 6: Obtain the absolute values of VctC. (Abs) (VECTOR) (VctC) Example 7: Determine the angle formed by VctA and VctB to three decimal places (Fix 3).
(cos-1) 59
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 vectors whose dimensions do not allow that type of calculation. Action: • Specify the dimension of the vector and then perform the calculation again. • Check the dimensions specified for the vectors to see if they are compatible with the calculation. 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.
1. Press (OFF) to turn off the calculator. 2. On the back of the calculator, remove the screws and the cover. 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.
6 Metric conversion commands (cm in, etc.
Precision In general, ±1 at the 10th digit for a single calculation. Precision for exponential display is ±1 at the least significant digit. Errors are cumulative in the case of consecutive calculations. 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 ex 0 ≦ |x| < 9 × 109 0 ≦ |x| < 157079632.7 0 ≦ |x| < 1 × 1010 Same as sinx, except when |x| = (2n-1) × 90.
x2 0 ≦ x < 1 × 10100 x-1 |x| < 1 × 10100; x ≠ 0 √x 3 |x| < 1 × 10100 x! 0 ≦ x ≦ 69 (x is an integer) √x nPr nCr Pol(x, y) Rec(r, θ) °’ ” |x| < 1 × 1050 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.
RanInt#(a, b) a < b; |a|, |b| < 1 × 1010; b - a < 1 × 1010 GCD(a, b) |a|, |b| < 1 × 1010 (a, b are integers) LCM(a, b) 0 ≦ a, b < 1 × 1010 (a, b are integers) • Precision is basically the same as that described under "Calculation Range and Precision", above. x 3 • xy, √y, √ , x!, nPr, nCr type functions require consecutive internal calculation, which can cause accumulation of errors that occur with each calculation.
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. Press to return to the mode menu.
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.
press after the argument to close the parentheses may cause unwanted values or expressions to be included as part of the argument. Example: (sin 30) + 15 (Angle Unit: Deg) 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 70 15 0.
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