HP 300s+ Scientific Calculator User Guide
© Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. The only warranties for HP products and services are set forth in the express warranty statements accompanying such products and services. Nothing herein should be construed as constituting an additional warranty. HP shall not be liable for technical or editorial errors or omissions contained herein.
Table of contents About this Manual. . . . . . . . . . . . . . . . . . . . . . . 1 Initializing the Calculator . . . . . . . . . . . . . . . . . 2 Safety Precautions . . . . . . . . . . . . . . . . . . . . . . 2 Disposing of the Calculator. . . . . . . . . . . . . . . . . . . . . . . .3 Other Precautions . . . . . . . . . . . . . . . . . . . . . . 3 Before Using the Calculator . . . . . . . . . . . . . . . 3 About the Display . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Displaying Calculation Results in a Form that Includes Irrational Number Form. . . . . . . 16 Basic Calculations (COMP) . . . . . . . . . . . . . . 19 Arithmetic Calculations . . . . . . . . . . . . . . . . . . . . . . . . . .19 Number of Decimal Places and Number of Significant Digits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .19 Omitting a Final Closed Parentheses . . . . . . . . . . . . . . .19 Fraction Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . .
Fraction Simplification Function . . . . . . . . . . . . . . . . . . .37 Using CALC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .38 Metric Conversion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .38 RanInt . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .39 Other Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .39 Factorial (!) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Reg Sub-menu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .56 Comments for Other Typed of Regression . . . . . . . . . . .58 Command Usage Tips . . . . . . . . . . . . . . . . . . . . . . . . . .65 Calculations of Equations (EQN) . . . . . . . . . . . . . . . . . .65 Generating a Number Table from a Function (TABLE) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 Supported Function Types . . . . . . . . . . . . . . . . . . . . . . .71 Start, End, and Step Value Rules . . . . .
About this Manual • • The mark indicates an example that uses Math format, while the mark indicates Linear format. For details about input/output formats, see “Specifying the Input/Output Format.” Keycap markings indicate what a key inputs or what function it performs. Example: , , , , , etc. • Press the or key followed by a second key performs the alternate function of the second key. The alternate function is indicated by the text printed above they key.
• The cursor key is marked with four arrows indicating direction. In this User Guide, cursor key operation is indicated as , , , and . • The displays and illustrations (such as key markings) shown in this User Guide are for illustrative purposes only, and may differ somewhat from the actual items they represent. The contents of this manual are subject to change without notice. : Specify degree for the angle unit. : Specify radian for the angle unit.
Disposing of the Calculator • Do not dispose of this calculator in an incinerator. It might explode and cause injury or fire. Other Precautions • • • • • • • • • • • • Before using this calculator for the first time, press the % key. The battery may lose some charge between the time the calculator leaves the factory and the time when it is purchased. Thus the original battery may not last as long as a new battery.
2. After using the calculator, slide the unit out of the cover as shown in step 2. To use the protective case, slide it over the keyboard side of the unit. Turning Power On and Off • • Press to turn on the calculator Press (OFF) to turn off the calculator. Adjusting Display Contrast (SETUP) ( CONT ) Displays the contrast adjustment screen. Use and to adjust display contrast, and then press .
About the Display Your calculator has a 31-dot ✕ 96-dot LCD screen. Example: Input expression Calculation result Display Indicators Sample Display: Indicator: S A M STO RCL STAT D R G FIX SCI Math Disp STAT D 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.
Calculation Modes and Calculator Setup Calculation Modes When you want to perform this type of operation: Select this mode: General calculations COMP Statistical and regression calculations STAT Linear equations EQN Generation of a number table based on an expression TABLE True / false VERIF Value of X PROP Specifying the Calculation Mode (1) Press to display the mode menu. (2) Press the number key that corresponds to the mode you want to select. For example, to select STAT mode, press .
• • Math format causes fractions, irrational numbers, and other expressions to display as they are written on paper. Linear format causes fractions and other expressions to display in a single line.
Example: 1 ÷ 7 = 1.4286 ✕ 10 -1 (Sci5) 1.429 ✕ 10-1 (Sci4) Norm: Selecting one of the two available settings (Norm 1, Norm 2) determines the range in which results will be displayed in non-exponential format. Outside the specified range, results are displayed using exponential format. Norm 1:10-2 > x , x ≥ 1010 Norm 2: 10-9 > x , x ≥ 1010 Example:1 ÷ 200 = 5 ✕ 10-3 (Norm1) 0.
This setting: Calculation mode Input/Output Format Angle Unit Display Digits Fraction Format Statistical Display Decimal Point Simplify Is Initialized to this Comp Mthlo Deg Norm 1 d/c OFF Dot AUTO To cancel initialization without doing anything. Press (Cancel) instead of . Inputting Expressions and Values Inputting a Calculation Expression Using Standard Format Your calculator lets you input calculation expressions just as they are written. Press the key to execute.
Omitting the Multiplication Sign You can omit the multiplication sign (✕) in any of the following cases. • • • Before an open parentheses ():2✕(5 + 4), etc. Before a general function: 2✕ sin (30), 2✕ (3), etc. Before a variable name, constant, or random number: 20✕A, 2✕π, etc. Final Closed Parentheses You can omit one or more closed parentheses that come at the end of a calculation immediately before pressing the key. For details, see “Omitting a Final Closed Parentheses.
Correcting an Expression This section explains how to correct an expression as you are inputting it. The procedure you should use depends on whether you have insert or overwrite selected as the input mode. About Insert and Overwrite Input Modes In insert mode, the displayed characters shift to the left to make room when your input replaces the character at the current cursor position. The initial default input mode is insert. You can change to overwrite mode as needed.
Deleting a Character or Function Example: To correct the expression 369 ✕ ✕ 12 so it becomes 369 ✕ 12. Insert Mode: Overwrite Mode: Correcting a Calculation Example: To correct cos(60) so it becomes sin(60).
Overwrite Mode: Inserting Input into a Calculation Always use insert mode for this operation. Use or to move the cursor to the location where you want to insert new input. Displaying the Location of an Error If an error message (like “Math ERROR” or “Syntax ERROR”) appears when you press , press or . This displays the part of the calculation where the error occurred with the cursor at the error location. Example: You input “14 ÷ 0 ✕ 2 =” by mistake instead of “14 ÷ 10 ✕ 2 =”.
Inputting with Math Format When inputting with Math format, you can input and display fractions and some functions using the same format as they appear in your textbook. IMPORTANT: • Certain types of expressions can cause the height of a calculation formula to be greater than one display line. The maximum allowable height of a calculation formula is two display screens (31 dots ✕ 2). Further input is not allowed if the height of the calculation exceeds the limit. • You can nest functions and parentheses.
Example 1: To input 23 + 1 Example 2: To input 1+ 2 + 3 2 Example 3: To input (1 + --- )2 ✕ 2 = 5 • When you press and obtain a calculation result using Math format, part of the expression you input can be cut off as shown in Example 3. To view the entire input expression again, press , and then press . 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.
This changes the shape of the cursor as shown here. This incorporates the expression in parentheses into the function . • If the cursor is located to the left of a value or fraction (instead of an open parentheses), that value or fraction is incorporated into the function specified here. • If the cursor is located to the left of a function, the entire function is incorporated into the function specified here.
Note: When you select “linelO” as the input/output format, calculation results are always displayed using decimal values (no irrational number form) regardless of whether you press or . Note: π form display (includes π within irrational number display) conditions are the same as those for S-D Conversion. For details, see “Using S-D Transformation.” Example 1: 2+ 8 = 3 2 (1) (2) 3 Example 2: sin(60) = ------2 sin 60 1 Example 3: sin-1 (0.
Angle Unit Setting Angle Value Input Input Value Range for Form Calculation Result Deg Units of 15° x < 9 ✕ 109 Rad 1 Multiples of ----12 π radians x < 20π Gra 50 Multiples of ------ grads x < 10000 3 Form Calculation Range • The following shows the internal data format and applicable value ranges for results obtained with . The calculation result is displayed in decimal form when any one of these ranges is exceeded. Example: 35 2 ✕ 3 (=105 2 ) =148.492424 150 2----------------= 8.
Basic Calculations (COMP) This section explains how to perform arithmetic, fraction, percent, and sexagesimal calculations. All calculations in this section are performed in the COMP Mode ( ). Arithmetic Calculations Use the , , , and keys to perform arithmetic calculations. Example: 7 ✕ 8 - 4 ✕ 5 = 36 The calculator automatically judges the calculation priority sequence. For more information, see “Calculation Priority Sequence.
Example: (2 + 3) ✕ (4 - 1) = 15 Fraction Calculations How you should input fractions depends on the input/output format that is currently selected. • • Default settings display fractions as improper fractions. Fraction calculation results are always reduced before being displayed.
Switching Between Improper Fraction and Mixed Fraction Format b d Pressing the a --- ⇔ --- key toggles the display c c fraction between mixed fraction and improper fraction format. Switching Between Fraction and Decimal Format → ← • • • The format of the fraction depends on the currently selected fraction format setting (improper fraction or mixed fraction).
Increase 2500 by 15%. (2875) (%) Discount 3500 by 25%. (2625) (%) Discount the sum of 168, 98, and 734 by 20%.
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} {Minutes} {Seconds} Example: Input 2° 0’ 30” Note that you must always input something for the degrees and minutes, even if they are zero.
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 calculations: 3 + 3 and 3 ✕ 3. (:) “Disp” indicates this is an intermediate result of a multistatement.
• • Note that calculation history memory contents are cleared whenever you turn off the calculator, press the 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 history memory to become full, the oldest calculation is deleted automatically to make room for the new calculation.
Using Calculator Memory Memory Name Description Answer Memory Stores the last calculation result obtained. Independent Memory Calculation results can be added to or subtracted from independent memory. The “M” display indicator indicates data in independent memory. Variables Eight variables named A, B, C, D, E, F, X, and Y can be used for storage of individual values. This section uses the COMP Mode ( ) to demonstrate how you can use memory.
(Continuing) Pressing automatically inputs the “Ans” command. • In this procedure, you need to perform the second calculation immediately after the first one. If you need to recall Answer Memory contents after pressing , press the key. Inputting Answer Memory Contents into an Expression Example: To perform the calculations shown below: 789 - 579 = 210 123 + 456 = 579 Independent Memory (M) You can add calculation results to or subtract results from an independent memory.
• • The “M” indicator appears in the upper left of the display when there is any value other than zero stored in the independent memory. Independent memory contents are maintained even if you press the key, change the calculation mode, or turn off the calculator. 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: 9×6+3 ---------------------- = 1.425 5×8 (STO) (B) (STO) (C) (B) (C) Clearing the Contents of a Specific Variable Press (STO) and then press the key for the name of the variable whose contents you want to clear. For example, to clear the contents of variable A, press (STO) (A). Clearing the Contents of All Memories Use the following procedure to clear the contents of Answer Memory, independent memory, and all of the variables.
The following shows the required key operations and the values this calculator uses for pi (π) and e: π = 3.14159265358980 ( (π)) e = 2.71828181845904 ( ( e)) Trigonometric and Inverse Trigonometric Functions The angle unit required by trigonometric and inverse trigonometric functions is one specified as the calculator’s 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.
Example 1: To convert the following values into degrees: π --- radians=90°, 50 grads = 45° 2 The following procedure assumes that the calculator’s default angle unit is degrees.
“In(“ 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. Example: log2 16 = 4 • • (,) Note that when you must input the base (base m) when using the key for input. log16=1.204119983 Note: A base of 10 (common logarithm) is used if no base is specified. ln90(=loge90) = 4.49980967 Ine= 1 (e) e10=22026.
Power Functions and Power Root Functions x2, x3, x-1, x▀, (, (, ▀( Example 1: 1.2 ✕ 103 = 1200 () (1+1)2+2 =16 Example 2: 23 = 8 ( 2 + 1)( 2 – 1) = 1 5 32 = 2 ( ) Example 3: (-2)2/3 = 1.587401052 3 5 +3 – 27 = -1.
Rectangular-Polar Coordinate Conversion Rectangular Polar Coordinates Coordinates (Rec) (Pol) Coordinate conversion can be performed in the COMP and STAT calculation modes. Converting to Polar Coordinates (Pol) Pol(X,Y) X: Specifies the rectangular coordinate X value Y: Specifies the rectangular coordinate Y value • Calculation result θ is displayed using the range of -180° • Calculation result θ is displayed using the calculator’s default angle unit.
(Pol) (,) (Pol) (,) (r, θ ) = (2,30) → (X,Y) (Rec) (,) Greatest Common Divisor and Least Common Multiple • • • • • These functions exist in all modes. Greatest Common Divisor (GCD): To calculate the greatest common divisor of two positive integers. Least Common Multiple (LCM): To calculate the least common multiple among two positive integers. The argument value can be either a number and/or expression.
(LCM) (,) Example: When an argument includes expression. (LCM) (,) (GCD) (,) The Integer Function and the Greatest Integer Function • • Int: The integer function extracts the integer part of the value by removing the digits to the right of the decimal point. IntG: The greatest integer function rounds down the value to the nearest integer.
• If ÷R is part of a series of multiple statements, only the quotient will be transferred to the next operation. Example: (2) (10+2) • • The operation buttons are disabled during display of the result of an operation with calculation and display of remainder. If one of the following conditions is present when performing an operation with calculation will be treated as a normal division without calculation or display of remainder. A.
Using CALC • You can store a single mathematical expression, with up to 99 steps. Note that the command can only be used in the COMP Mode. • The command lets you temporarily store a mathematical expression that you need to perform several times. Once you store an expression, you can recall it, input variables, and calculate quickly. • The following shows the kind of expressions that you can save with the function. A. Expressions: 2X + 3Y, 2AX + 3BY + C B.
• 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. Example: To convert 5 cm into inches: (CONV) The following table shows the two-digit numbers for each of the metric conversion commands.
Factorial (!) This function obtains the factorials of a value that is zero or a positive integer. Example: (5 + 3)! = 40320 (x!) Absolute Value Calculation (Abs) When you are performing a real number calculation, this function simply obtains the absolute value. Example: Abs(2 - 7) = 5 Random Number (Ran#) This function generates a 3 digit pseudo random number that is less than 1. (Ran#) Generate three 3-digit random numbers.
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.
The following performs the same calculation with rounding. (Round the value to the specified number of digits.) (Rnd) (Check rounded result.) Transforming Displayed Values You can use procedures in this section to transform a displayed value to engineering notation, or to transform between standard form and decimal form. Using Engineering Notation A simple key operation transforms a displayed value to engineering notation.
(←) (←) 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, π). 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.
π Fraction → Decimal (π) → Decimal Statistical Calculation (STAT). All the calculations in this section are performed in the STAT Mode ( ). Selecting a Statistical Calculation Type In the STAT Mode, display the statistical calculation type selection screen.
Inputting Sample Data Displaying the STAT Editor Screen The STAT editor screen appears after you enter the STAT Mode from another mode. Use the STAT menu to select a statistical calculation type. To display the STAT editor from another STAT Mode screen, press (STAT) (Data). STAT Editor Screen There are two STAT editor screen formats, depending on the type of statistical calculation you selected.
Example: To input the value 123.45 in cell X1 (Move the cursor to cell X1) The value you input appears in the formula area (123.45). Registering a value causes the cursor to move down one cell. STAT Editor Screen Input Precautions The number of lines in STAT editor screen (the number of sample data values you can input) depends on the type of statistical data you selected and on the Statistical Display setting of the calculator’s setup screen.
Deleting a Line • • (1) On the STAT editor screen, move the cursor to the line you want to delete. (2) Press . Inserting Line • (1) On the STAT editor screen, move the cursor to the line that will be under the line you will insert. • (2) Press (STAT) (Edit). • (3) Press (Ins). Important: Note that the insert operation will not work if the maximum number of lines allowed for the STAT editor screen are already used. Deleting All STAT Editor Contents (1) Press (STAT) (Edit).
STAT Menu Items Common Items Select this menu item: When you want to do this: Type Display the statistical calculation type selection screen Data Display the STAT editor screen 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. Reg Display the Reg sub-menu of commands for regression calculations.
Var Sub-menu ( (STAT) (Var)) Select this menu item: When you want to obtain this: n Number of samples x Mean of the sample data xσ n Population standard deviation xσ n – 1 Sample standard deviation MinMax Sub-menu ( (STAT) (MinMax)) Select this menu item: When you want to obtain this: minX Minimum value maxX Maximum value Single-variable Statistical Calculation Select single-variable (1-VAR) and input the following: { } Data: 1,2,3,4,5,6,7,8,9,10 (FREQ:ON) (S
(STAT)(Edit)(Ins) Edit the FREQ data to the following: {1,2,1,2,2,2,3,4,2,1} (FREQ:ON) (STAT) (Data) Examples: Calculate the sum of squares of the sample data and sum of the sample data. (STAT) (Sum) 2 ( x ) (STAT) (Sum) ( x ) Calculate the number of samples, mean, and population standard deviation.
1 (n) (STAT) (Var) ( x ) (STAT) (Var) ( xσ n) Calculate minimum value and maximum value. (STAT) (Quart1) (Minx) (STAT) (MinMax) (MaxX) Commands When Linear Regression Calculation (A+Bx) Is Selected With linear regression, regression is performed in accordance with the following model equation.
B= n • xy – x • y ------------------------------------------------2 2 n x – ( x) n • xy – x • y r = ---------------------------------------------------------------------------------------------------- 2 2 2 2 n x – ( x ) n • y + ( – y ) – Ax̂ = y----------ŷ = A + Bx B Sum Sub-menu ( (STAT) (Sum)) Select this menu item: When you want to obtain this: x 2 Sum of the X-data x y Sum of squares of the X-data 2 Sum of the squares of the Y-data y
MinMax Sub-menu ( (STAT) (MinMax)) Select this menu item: 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 Reg Sub-menu ( (STAT) (Reg)) Select this menu item: When you want to obtain this: A Regression coefficient constant term A B Regression coefficient B r Correlation coefficient r x̂ Estimated value of x ŷ Estimated value of y Linear Regression C
(STAT) (Sum) ( xy ) (STAT) (Var) ( xσ n ) (STAT) (MinMax) (Max Y) (STAT) (Reg) (A) 54
(STAT) (Reg) (B) (STAT) (Reg) (r) * (STAT) (Reg) ( x̂ ) ** (STAT) (Reg) ( ŷ ) * Estimated Value (y = 3 ** Estimated Value (x = 2 → x̂ = ?) → ŷ = ?) Commands when Quadratic Regression Calculation (_+CX) Is Selected With quadratic regression, regression is performed in accordance with the following model equation.
2 2 x Sx x = 4 2 2 ( x ) – -----------------n 2 2 Sx y = x 2 x • y y – ------------------------n 2 – B + B – 4C ( A – y ) x̂1 = ------------------------------------------------------2C 2 B – B – 4C ( A – y -) x̂2 = –------------------------------------------------------2C ŷ = A + Bx + Cx2 Reg Sub-menu ( (STAT) (Reg)) Select this menu item: When you want to obtain this: A Regression coefficient constant term A B Linear coefficient B of the regression coefficients C Quadratic
(STAT) (Type) (_+CX2) (STAT) (Reg) (A) (STAT) (Reg) (B) (STAT) (Reg) (C) y = 3 → x̂1 = ? (STAT) (Reg) ( x̂1 ) y = 3 → x̂2 = ? (STAT) (Reg) ( x̂2 ) x=2→ y =? (STAT) (Reg) ( ŷ ) 57
Comments for Other Typed of Regression For details about the calculation formula of the command included in each regression type, refer to the indicated calculation formulas.
ln y – B • x A = exp -------------------------------------n n • x ln y – x • ln y B = -----------------------------------------------------------2 2 n • x – ( x) n • x ln y – x • ln y r = ------------------------------------------------------------------------------------------------------------------ 2 2 2 2 n • x – ( x ) n • ( ln y ) – ( ln y ) ln y – ln A x̂ = ----------------------B ŷ = ABx Power Regression (A ⋅ X^B) B y = AX A= ln y – B • ln x e
2 2 Syy = y Sxy = (x ( y) – ---------------n 1 –1 x • y )y – ------------------------n B x̂ = -----------y–A ŷ = A + B --x Comparison Regression Curves The following example uses the data input in as following table: x 1.0 1.2 1.5 1.6 1.9 y 1.0 1.1 1.2 1.3 1.4 x 2.1 2.4 2.5 2.7 3.0 y 1.5 1.6 1.7 1.8 2.0 Compare the correlation coefficient for logarithmic, e exponential, ab exponential, Power, and inverse regression.
(STAT) (Type) (1/X) (STAT) (Reg) (r) Other types of Regression Calculation: y = A + Blnx x 29 50 74 103 118 y 1.6 23.5 38.0 46.4 48.
y = AeBx x 6.9 12.9 19.8 26.7 35.1 y 21.4 15.7 12.1 8.5 5.
x -1 y 0.24 3 4 5 10 16.2 513 (STAT) (OFF) (STAT) (A•B^X) (STAT) (Reg) (A) (STAT) (Reg) (B) (STAT) (Reg) (r) x = 15 → ŷ = ? (STAT) (Reg) ( ŷ ) y = 1.
(STAT) (Reg) (A) (STAT) (Reg) (B) (STAT) (Reg) (r) x = 40 → ŷ = ? (STAT) (Reg) ( ŷ ) y = 1000 → x̂ = ? (STAT) (Reg) ( x̂ ) B y = A + --x x 1.1 y 18.3 2.1 9.7 2.9 4.0 4.9 6.8 4.9 4.
(STAT) (Reg) (A) (STAT) (Reg) (B) (STAT) (Reg) (r) x = 3.5 → ŷ = ? (STAT) (Reg) ( ŷ ) y = 15 → x = ? (STAT) (Reg) ( x ) Command Usage Tips The commands include in the Reg sub-menu can take a long time to execute in logarithmic, e exponential, ab exponential, or power regression calculation when there are a large number of data samples.
KEY IN Two unknowns Three unknowns DISPLAY DISPLAY or Simultaneous Linear Equations 1. Simultaneous Linear Equations with Two Unknowns: a1x + b1y = c1 a2x + b2y = c2 2. Simultaneous Linear Equations with Three Unknowns: a1x + b1y + c1z = d1 a2x + b2y + c2z = d2 a3x + b3y + c3z = d3 • 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.
Example: To solve the following simultaneous equations: 2x + 3y - z = 15 3x - 2y + 2z = 4 5x + 3y - 4z = 9 (x = 2, y = 5, z = 4) (EQN) 67
Inputting and editing coefficients 1. Rules for inputting and editing coefficients: - Data is inserted into the cell where the cursor is located. When you register input into a cell, the cursor moves to the next cell on the right. - 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. - Press while inputting data clears your current input. - After inputting data, press .
Solution Display After inputting and registering values on the coefficient editor screen, press to display the solution(s) for the equation. • • • Each press of display 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 and to switch the display between the solutions for X and Y (and Z).
Example: (EQN) Generating a Number Table from a Function (TABLE) All calculations in this section are performed in the TABLE Mode ( ). Configuring a Number Table Generation Function The procedure below configures the number table generation function with the following settings. 1 Function: f(x) =x2+ --2 Start Value: 1; End Value: 5; Step Value:1 (1) Press (TABLE).
(2) Input the function. (3) After making sure the function is the way you want, press . This displays the start value input screen. Indicates the initial default start value of If the initial value is not 1, press to specify the initial start value for this example. (4) After specifying the start value, press . This displays the end value input screen. Indicates the initial default start value of Specify the end value. (5) After specifying the end value, press .
• • The coordinate conversion (Pol, Rec) functions cannot be used for a number table generation function. Note that the number table generation operation causes the contents of variable X to be changed. Start, End, and Step Value Rules • • Linear format is always used for value input. You can specify either values or calculation expressions (which must produce a numeric result) for Start, End, and Step.
Inputting and Editing • You can enter the following expressions for check mode VERIFY. A. Equalities or inequalities involving a relational operator. 4= 16 ; 4 ≠ 3; π > 3; 1 + 2 ≤ 5; (3 ✕ 6) < (2 + 6) ✕ 2; etc. B. Equalities or inequalities involving multiple relational operator • • • • • • 1 ≤ 1 < 1 + 1; 3 < π < 4; 22 = 2 + 2 = 4; 2 + 2 = 4 < 6; 2 + 3 = 5 ≠ 2 + 5 = 8; etc. The values and expressions you can input on the display are the same as those you can input in the COMP Mode.
Example: To verify if 7 ÷ 9 < 14 ÷ 9 (TRUE) (VERIFY) (VERIFY) (<) Example: (VERIFY) (VERIFY)(<) Example: Syntax ERROR - An expression with no end to the left or right. (VERIFY) (>) Example: Syntax ERROR - An expression in which a relationship operator is a fraction or function.
(VERIFY) (<) Example: Syntax ERROR - An expression in which relational operators are surrounded by parentheses. (VERIFY) (VERIFY) (<) Example: Syntax ERROR.
Proportion Calculations (PROP) Use the key to enter the PROP mode when you want to solve a ratio expression. In PROP mode, you can solve the value of X in the ratio expression. Key in a/b = x/d a/b = c/x Display Display or Inputting and Editing Coefficients • • • • The PROP mode lets you determine the value of X in the ratio expression a/b = X/d (or a/b = c/X) when the values of a, b, c and d are known. Use the coefficient editor screen to input the coefficients of a ratio expression.
• The following operations are not supported by the coefficient editor: and multi statements also cannot be input with the coefficient editor.
(PROP) PROP Solution Display • • After inputting and registering values on the coefficient editor screen, press to display the solution for the ratio expression. To return to the coefficient editor method: A. Pressing while a solution is displayed. B. Pressing while the final solution is displayed. The display format of solutions is in accordance with the input/output format settings of the calculator's setup screen.
Example: 79
Technical Information Order of Operations The calculator performs calculations from left to right and in the following order of sequence: 1. Expression within the parentheses. 2. Functions with parentheses: Pol(, Rec(, GCD(, LCM(, sin(, cos(, tan(, sin-1(, cos-1(, tan-1(, sinh(, cosh(, tanh(, sinh-1(, cosh-1(, tanh-1(, log(, ln(, Rnd(, Int(, IntG( 3. Functions preceded by values, powers, power roots, for example: x2, x3, x-1, x!, ° ’ ”, °, r, g, xy, x• , %, •, 3•, 10x, ex, Abs • 4. Fractions: a b/c 5.
Numeric Stack Command Stack (1) 2 (1) ✕ (2) 3 (2) ( (3) 4 (3) ( (4) 5 (4) + (5) 4 (5) ✕ ⋮ (6) ( (7) + ⋮ A Stack ERROR occurs when the calculation you are performing causes the capacity of either stack to be exceeded. Calculation Ranges, Number of Digits, and Precision The calculation range, number of digits used for internal calculation, and calculation precision depends on the type of calculation you are performing.
cos x tan x sin-1 x cos-1 x tan-1 x sinh x cosh x DEG 0 ≦ x < 9 ✕ 109 RAD 0 ≦ x < 157079632.7 GRA 0 ≦ x < 1 ✕ 1010 DEG Same as sin x , except when x = ( 2n – 1 ) × 90 GRA Same as sin x , except when π x = ( 2n – 1 ) × --2 RAD Same as sin x , except when x = ( 2n – 1 ) × 100 0≦ x ≦1 0≦ x ≦9.999999999 ✕ 1099 0≦ x ≦230.2585092 sinh-1 x 0≦ x ≦4.999999999 ✕ 1099 cosh-1 x 0≦ x ≦4.999999999 ✕ 1099 tanh x 0≦ x ≦9.999999999 ✕ 1099 tanh-1 x 0≦ x ≦4.999999999 ✕ 10-1 Log x /ln x 0< x ≦9.
3 x <1 ✕ 1010 x x! 0≦ x ≦69 ( x is an integer) n Pr 0≦ n <1 ✕ 1010, 0≦ r ≦ n ( n , r are integers) 1≦ { n! ⁄ ( n – r )! } <1 ✕ 10100 n Cr 0≦ n <1 ✕ 1010, 0≦ r ≦ n ( n , r are integers) 1≦ [ n! ⁄ { r! ( n – r )! } ] <1 ✕ 10100 Pol( x, y ) x , y ≦9.999999999 ✕ 1049 2 2 ( x + y ) ≦9.999999999 ✕ 1099 Rec( r, θ) 0≦ r ≦9.
LCM 0 ≦ x < 1 ✕ 1010 0 ≦ y <1 ✕ 1010 Simp 1 ≦ n ≦ 9999 (n is an integer) RanInt#(a,b) a < b, a b < 1 ✕ 1010, b-a < 1 ✕ 1010 • Precision is basically the same as that described under “Calculation Range and Precision,” above. • ^ ( x ) , x y , , 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 function’s singular point and inflection point.
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. Action • • Simplify the calculation expression so it does not exceed the capacity of the stack.
Note that you should make separate copies of important data before performing these steps. (1) Check that calculation expression to make sure that it does not contain any errors. (2) Make sure that you are using the correct mode for the type of calculation you are trying to perform. (3) If the above steps do not correct your problem, press the key. This will cause the calculator to perform a routine that checks whether calculation functions are operating correctly.
2) Remove the battery cover. 3) Load a new battery into the calculator with its positive and negative ends facing correctly. 4) Replace the battery cover. 5) Perform the following key operation: (CLR) (All) (Yes). Make sure to perform the key operation. Auto Power Off Your calculator will turn off automatically if you do not perform any operation for about eight minutes. If this happens, press the key to turn the calculator back on.
Regulatory Notices European Union Regulatory Notice Products bearing the CE marking comply with the following EU Directives: • Low Voltage Directive 2006/95/EC • EMC Directive 2004/108/EC • Ecodesign Directive 2009/125/EC, where applicable • RoHS Directive 2011/65/EU CE compliance of this product is valid if powered with the correct CE-marked AC adapter provided by HP.
Perchlorate Material – special handling may apply This calculator's Memory Backup battery may contain perchlorate and may require special handling when recycled or disposed in California. Disposal of Waste Equipment by Users in Private Household in the European Union This symbol means do not dispose of your product with your other household waste.
