fx-300ES PLUS - Support
Contents
1. 2 22222222 2 17 Remainder Calculations 18 Function 8 88 88 n 18 Statistical Calculations STAT 22 Creating a Number Table from Tvvo Functions TABLE 25 Calculation Ranges Number of Digits and Precision 26 2 CZELULL V R 27 Before Assuming Malfunction of the Calculator 29 Replacing the Battery 29 DEC C HORS LL EEG 30 Frequently Asked Questions 30 important informat on e The displays and illustrations such as key markings shown in this User s Guide are for illustrative purposes only and may differ somewhat from the actual items they represent e The contents of this manual are subject to change without notice e n 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 e Be sure to keep all user documentation handy for future reference2. Sample Operations Sample operations in this manual are indicated by a L icon Unless specifically stated all sample operations assume that the calculator is in its initial default setup Use the procedure under Initializing the Calculator to return the calculator to its initial default setup For information about the DYNA GIS 2221 and ZE marks that are shown in the sample operations see Configuring the Calculator Setup Initializing the Calculator Perform the following procedure when you want to initialize the calculator and return the calculation mode and setup to their initial default settings Note that this operation also clears all data currently in calculator memory 9 CLR 3 All Yes Safety Precautions N Battery e Keep batteries out of the reach of small children e 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 at least once every three years LR44 GPA76 A dead battery can leak causing damage to and malfunction of the calculator Never leave a dead battery in the calculator Do not try using the calculator while the battery is completely dead The battery that comes with the calculator discharges slightly during shipment and storage Because of this it may require replacement sooner than the normal expected battery life Do not use an oxyride battery or
3. Display as recurring decimal wm CI Decimal value according to Norm 1 setting 590 0 1425271423 Return to initial display format fraction SED lat L 1 7 0 1428571429 Norm 1 0 142857 LINE 578 b 0 1425271423 Display as fraction Display as recurring decimal Return to initial display format Norm 1 0 1425271423 Conditions for Displaying a Calculation Result as a Recurring Decimal If a calculation result satisfies the following conditions pressing will display it as a recurring decimal value The total number of digits used in the mixed fraction including integer numerator denominator and separator symbol must be no more than 10 e The data size of value to be displayed as the recurring decimal must be no larger than 99 bytes Each value and the decimal point require one byte and each digit of the period requires one byte The following for example would require of total of 8 bytes 4 bytes for the values 1 byte for the decimal point 3 bytes for the period 0 123 Note For information about switching the display format of a calculation result when OFF is selected for the Rdec setting on the setup menu see Toggling Calculation Results Recurring Decimal Examples f 03 045 0 78 ENN OC wa EE 0 3 0 45 o C Va HE 45 EZ Go L 164 28 45 NG 10 m ms 65 EE 1 6 2 8 2 Et Wa HE MATER 123 1234 To co
4. Display indicators This indicator Means this The keypad has been shifted by pressing the key The S keypad will unshift and this indicator will disappear when you press a key The alpha input mode has been entered by pressing the A 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 The calculator is standing by for input of a variable name to STO assign a value to the variable This indicator appears after you press Rc STO The calculator is standing by for input of a variable name to RCL recall the variable s value This indicator appears after you press STAT The calculator is in the STAT Mode The default angle unit is degrees R The default angle unit is radians G The default angle unit is grads FIX A fixed number of decimal places is in effect SCI A fixed number of significant digits is in effect Math Natural Display is selected as the display format Calculation history memory data is available and can be VA replayed or there is more data above below the current screen 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 Disp E 4 Us ng Menus Some of the calculator
5. Perform the following operation 9 CLR 1 Setup Yes M When execute a function calculation why do I get a calculation result that is completely different from older CASIO calculator models With a Natural Textbook Display model the argument of a function that uses parentheses must be followed by a closing parenthesis Failing to 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 DER Older S VPAM Model sin 30 15 15 5 Natural Textbook Display Model XG 5 30 156 15 5 Failure to press here as shown below will result in calculation of sin 45 sin 30 4 15 0 7071067812 E 30 CASIO CASIO COMPUTER CO LTD 6 2 Hon mach 1 chome Shibuya ku Tokyo 151 8543 Japan SA1111 A 2012 CASIO COMPUTER CO LTD
6. 02195 EE 11 021 2 312 2 Ce ipi Va E 312 Calculation result displayed as recurring decimal value SeD Note You can specify up to 14 decimal places for the recurring decimal period If you input more than 14 decimal places the value will be treated as a terminating decimal and not a recurring decimal Recurring decimal value input can be performed regardless of the Rdec setting on the setup menu Displaying a Calculation Result as a Recurring Decimal Value Calculation results that can be displayed as recurring decimal values will be displayed as such when ON is selected for the Rdec setting on the setup menu Pressing the key will cycle between the available calculation result formats as shown below Recurring Decimal Decimal Value According to Display Norm Fix Sci Settings Or Decimal Value According to Display Norm Fix Sci Settings Recurring Decimal L 0 142857 0 1428571429 Norm 1 INJ 1 B Ez Display as recurring decimal 142627 Decimal value according to Norm 1 setting 590 O 1425271423 E 10 Return to initial display format fraction L 1 7 0 142857 0 1428571429 Norm 1 MATH 112 7 U 1425271423 D Math A Display as fraction Display as recurring decimal 0 142057 1 7 Return to initial display format Norm 1 O 1425271423 L 0 142857 0 1428571429 Norm 1 XG 578 177
7. setup menu in the TABLE Mode and switch between Natural Display and Linear Display Calculation Ranges Number of Digits and Precision The calculation range number of digits used for internal calculation and calculation precision depend on the type of calculation you are performing Calculation Range and Precision Calculation Range 1 x 10 to 9 999999999 x 10 or Number of Digits for Internal o Calculation 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 Input Range Functions _ 0 l lt 9x 109 sinx cosx 0 x lt 157079632 7 en JEE a Same as sinx except when x 2n 1 x 100 EE 0 x 9 999999999 x 10 0 x 230 2585092 9 999999999 x 1059 x 230 2585092 E 26 0 nc 1x107 0 r pn n r are integers 1 n n r 1 x 1079 x x Vx X nP 1 10 9 0 are integers 7 1 nl rl lt 1 x 1079 or 1 n n r 1 x 1079 X Vy Ix iyl 9 999999999 x 10 Pol yZ 9 999999999 x 10 0 lal b c lt 1 x 1010 0 b c The display seconds value is subject to an error of 1 at the second decimal place lt 1 x 1070 or Decimal gt Sexagesimal Conversions 020 x 9999999 5959 x gt 0 1 x 1079 lt
8. whether calculation functions are operating correctly If the calculator discovers any abnormality it automatically initializes the calculation mode and clears memory contents For details about initialized settings see Configuring the Calculator Setup 4 Initialize all modes and settings by performing the following operation 9 CLR 1 Setup EZ Yes Replacing the Battery A low battery is indicated by a dim display even if contrast is adjusted or by failure of figures to appear on the display immediately after you turn on the calculator If this happens replace the battery with a new one Important Removing the battery will cause all of the calculator s memory contents to be deleted 1 Press OFF to turn off the calculator eda T e To ensure that you do not accidentally turn on power while replacing the battery slide the hard case onto the front of the calculator 2 Remove the cover as shown in the illustration and replace the battery taking care that its plus and minus ends are facing correctly 3 Replace the cover 4 Initialize the calculator C9 CLR 3 All EZ Yes e Do not skip the above step E 29 Specifications Power Reguiremenis Built in solar cell button battery LR44 GPA76 x 1 Approximate Battery Life 3 years based on one hour of operation per day Operating Temperature 0 C to 40 C 32 F to 104 F Dimensions 11 1 H x 80 VV x 162 D mm 3 8 H
9. x 37 57 W x 69 5 Approximate VVeight 95 g 3 4 oz including the battery Frequentiy Asked Questions E How can perform input and display results the same way I did ona model that does not have Natural Textbook Display Perform the follovving key operation m SETUP 2 LinelO See Configuring the Calculator Setup on page E 5 for more information E How can I change a fraction form result to decimal form How can change a fraction form result produced by a division operation to decimal form See Toggling Calculation Results on page E 13 for the procedure E What is the difference between Ans memory PreAns memory independent memory and variable memory Each of these types of memory acts like containers for temporary storage of a single value Ans Memory Stores the result of the last calculation performed Use this memory to carry the result of one calculation on to the next PreAns Memory Stores the result of calculation before the last one PreAns memory can be used only in the COMP Mode Independent Memory Use this memory to totalize the results of multiple calculations Variables This memory is helpful when you need to uses the same value multiple times in one or more calculations E What is the key operation to take me from the STAT Mode or TABLE Mode to a mode where I can perform arithmetic calculations Press COMP E How can I return the calculator to its initial default settings
10. 0 6 25 75 EZ 2625 Degree Minute Second Sexagesimal Calculations Performing an addition or subtraction operation betvveen sexagesimal values or a multiplication or division operation between a sexagesimal value and a decimal value vvill cause the result to be displayed as a sexagesimal value You also can convert betvveen sexagesimal and decimal The follovving is the input format for a sexagesimal value degrees minutes seconds Ps Note You must always input something for the degrees and minutes even if they are zero 4 2207307 397307 3900700 2 E 20 E 30 3 EH 39 54 30 54 3200 07 L Convert 2 15 18 to its decimal equivalent 2 E 15 EH 18 4 EE 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 E 14 GO 313 3x3 3 3 m 223 3 3 EE 6 9 Using Engineering Notation A simple key operation transforms a displayed value to engineering notation L Transform the value 1234 to engineering notation shifting the decimal point to the right 1234 1234 Es 1 234x105 Es 1234x10 L Transform the value 123 to engineering notation shifting the decimal point to the left 123 5 123 Eu 0 123x103 B 0 000123x109 Calculation History In the COMP Mode th
11. 194 m sinh 1 O EE 1 175201194 cosh 1 0 5 cosh 1 D 5 0 2 3 2 radians 902 50 grads 45 DEY LO sirr 407 7c 5 2 O Chr fans DRG PH 2 5 90 50 sir fars DRG 3 7 EZ 45 2 4 To calculate e x 2 to three significant digits Sci 3 m SETUP Z Sci 3 MATH 5 X 2 E 2 97 102 mv in e 5 O 63 2 2 97 102 45 10g 1000 log 1000 3 1000 D EE 3 log 16 4 log 2 sir D1 16 4 MATH 045 2 16 E 4 8 To calculate In 90 loge 90 to three significant digits Sci 3 mo SETUP 7 Sci 3 90 4 50 102 L 12x10 1200 TEZ 1 2 X 10 EZ 3 EZ 1200 1412 16 LA H 1 1 Dl x3 2 4 2 16 52 15625 5 zz 15625 32 2 CYC sn e o 5 32 2 HM 5 Gar x3 Ve 32 5 2 To calculate V2 x 3 3V2 4 242640687 to three decimal places Fix 3 m SETUP 6 Fix 3 KAHI Kal 2 5 3 3v2 ur 4 243 LINE Va 2 0 x 3 tE 4 243 E 20 2 8 To convert rectangular coordinates V2 V2 to polar coordinates Deg 7511 url 4 Pol Wa 2 sil J 2 r 2 0 45 RH um H Pol Wa 2 5 HF O Ge 2 r 2 0 45 To convert polar coordinates V2 45 to rectangular coordinates Deg KAHI girl 2 59 El D10 45 8 1 Y 1 a 5 3 1 40320 0503 0162 230 EE 40320 710 12 71 2 10 MATH 2070 026E 10 LINE 2 7 O x 2 5 10 ZAN To obtai
12. 8 179 75 2 STAT 2 A BX 170 173 179 66 68 75 22 Important All data currently input in the Stat Editor is deleted whenever you exit the STAT Mode switch between the single variable and a paired variable statistical calculation type or change the Stat Format setting on the setup menu The following operations are not supported by the Stat Editor M M M fa STO Pol Rec R and multi statements also cannot be input with the Stat Editor To change the data in a cell In the Stat Editor move the cursor to the cell that contains the data you want to change input the new data and then press 5 To delete a line In the Stat Editor move the cursor to the line that you want to delete and then press De To insert a line In the Stat Editor move the cursor to the location where you vvant to insert the line and then perform the follovving key operation 1 STAT 8 Edit Q Ins To delete all Stat Editor contents In the Stat Editor perform the following key operation 1 STAT 8 Edit 2 Del A Obtaining Statistical Values from Input Data To obtain statistical values press while in the Stat Editor and then recall the statistical variable ox Xx etc you want Supported statistical variables and the keys you should press to recall them are shown below For single variable statistical calculations the variables marked with an asterisk are a
13. E 4 EE 5 FE v9 1 E 2 E 3 2 5 OSTA E Var YE HT STAT 4 Var 3 ox EZ 154700538 Results Mean 3 Population Standard Deviation 1 154700538 L3 To calculate the linear regression and logarithmic regression correlation coefficients for the following paired variable data and determine the regression formula for the strongest correlation x y 20 3150 110 7310 200 8800 290 9310 Specify Fix 3 three decimal places for results SETUP 3 STAT 2 OFF srr ode SETUP 6 Fix 3 2 STAT 2 A BX 20 110 200 EE 290 O 3150 7310 8800 9310 1 STAT 5 Reg 3 r 0 925 1 STAT 1 Type 4 In X 1 STAT 5 Reg 3 r 996 1 STAT 5 Reg G1 A ao 364 LD STAT 5 Reg 2 B 5 ood ty de Results Linear Regression Correlation Coefficient 0 923 Logarithmic Regression Correlation Coefficient 0 998 Logarithmic Regression Formula y 3857 984 2357 5321 Calculating Estimated Values Based on the regression formula obtained by paired variable statistical calculation the estimated value of y can be calculated for a given x value The corresponding x value two values x and x in the case of quadratic regression also can be calculated for a value of y in the regression formula Za To determine the estimate value for y when x 160 in the regression formula produced by loga
14. Natural logarithm to base e See s X X x Vm SV Vo x Powers power roots and reciprocals Note that the input methods for x Vm Va and Vu are different depending upon whether you are using Natural Display or Linear Display See LI Note The following functions cannot be input in consecutive sequence x x3 x 1 If you input 2122 44 for example the final will be ignored To input 22 input 2002 press the key and then press 23 EIN Pol Rec Pol converts rectangular coordinates to polar coordinates vvhile Rec converts polar coordinates to rectangular coordinates See Ps Pol x y r 0 Rec r 0 x y Specify the angle unit before performing calculations The calculation result for r and 0 and for x and y are each assigned respectively to variables X and Y Calculation result 6 is displayed Rectangular Polar in the range of 180 lt 0 Coordinates Rec Coordinates Pol 180 xl Factorial function See 9 Abs Absolute value function Note that the input method is different depending upon whether you are using Natural Display or Linear Display See Ao Ran Generates a 3 digit pseudo random number that is less than 1 The result is displayed as a fraction when Natural Display is selected See JA Ranint For input of the function of the form Ranlnt a b which generates a random integer within the range of a to b See 2 nPr nCr Permutation nPr and combin
15. a function After you have input for example you can make it the argument of V resultin iny 2 g g 6 L To input 1 and then change it to 1 MATH D Math A 1 7 EZ 6 185 D Math A 4 4 4 SE ENS 1 E 8 D Math A E As shown above the value or expression to the right of the cursor after pa 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 log2 4 etc This capability can be used with the following functions 09 0 ix ve 06 10 hen in vm 225 ve Var abs 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 2 hrr bu INS The cursor appears as in the insert mode and as am in the overwrite moda Note Natural Display alvvays uses the mode so changing display format from Linear Display to Natural Display vvill automatically svvitch to the insert mode Correcting and Clearing an Expression To delete a single character or function Move the cursor so it is directly
16. any other type of nickel based primary battery with this product Incompatibility between such batteries and product specifications can result in shorter battery life and product malfunction e Avoid use and storage of the calculator in areas subjected to temperature extremes and large amounts of humidity and dust Do not subject the calculator to excessive impact pressure or bending E 2 e Never try to take the calculator apart Use a soft dry cloth to clean the exterior of the calculator Whenever discarding the calculator or batteries be sure to do so in accordance vvith the lavvs and regulations in your particular area Company and product names used in this manual may be registered trademarks or trademarks of their respective ovvners Removing the Hard Case Before using the calculator slide its hard case downwards to remove it and then affix the hard case to the back of the calculator as shovvn in the illustration nearby Turning Povver On and Off Press to turn on the calculator Press AC OFF to turn off the calculator Auto Povver Off Your calculator will turn off automatically if you do not perform any operation for about 10 minutes f this happens press the key to turn the calculator back on Adyusting Display Contrast Display the CONTRAST screen by performing the following key operation SETUP amp 7 lt CONTP Next use and to adjust contrast After the setting is t
17. ation nCr functions See A3 Rnd The argument of this function is made a decimal value and then rounded in accordance with the current number of display digits setting Norm Fix or Sci With Norm 1 or Norm 2 the argument is rounded off to 10 digits With Fix and Sci the argument is rounded off to the specified digit When Fix 3 is the display digits setting for example the result of 10 3 is displayed as 3 333 while the calculator maintains a value of 3 33333333333333 15 digits internally for calculation In the case of E 19 Rnd 10 3 3 333 vvith Fix 3 both the displayed value and the calculator s internal value become 3 333 Because of this a series of calculations will produce different results depending on whether Rnd is used Rnd 10 3 x 3 9 999 or not used 10 3 x 3 10 000 See Ga GCD LCM GCD determines the greatest common divisor of two values while LCM determines the least common multiple See As Int Extracts the integer part of a value See Ae Intg Determines the largest integer that does not exceed a value See AAT 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 Examples ZA sin30 05 DOES sn 30 0 EE 0 5 sin 10 5 30 PG Bey sin sin 1 0 5 b tz 30 2 sinh 1 1 175201
18. btract the result of 10 5 from M Continuing 10 5 M 15 L To recall the contents of M Continuing M 35 Note Variable M is used for independent memory Clearing the Contents of All Memories Ans memory independent memory and variable contents are retained even if you press ac change the calculation mode or turn off the 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 9 CLR 2 Memory Yes Prime Factorization In the COMP Mode you can factor a positive integer up to 10 digits into prime factors up to three digits L To perform prime factorization on 1014 1014 EE 1014 E FACT Ox x13 VVhen 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 L To perform prime factorization on 4104676 22 x 10132 ur 5 FACT 22 x 1026163 Any one of the following operations will exit prime factorization result display e Pressing b FACT or Pressing any of the following keys Eg or fs e Using the setup menu to change the angle unit setting Deg Rad Gra or the display digits setting Fix Sci Norm E 17 Note You will not be able to execute prime factorization while a deci
19. e calculator remembers up to approximately 200 bytes Of data for the nevvest calculation You can scroll through calculation history contents using and L 14122 1 EE 1 E 242 4 2 Ek 2 5 343 6 3 3 Scrolls back Scrolls back again NB BN 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 any reset operation Replay While a calculation result is on the display you can press 66 or to edit the expression you used for the previous calculation f 4x3425 145 HM 4 3 2 5 14 5 4x3 7 1 4 9 Continuing G ba ba ba ba 7 1 4 9 Note If you want to edit a calculation when the b indicator is on the right side of a calculation result display see Reading the Display press and then use amp and to scroll the calculation Ansvver Memory Ans Previous Ansvver Memory PreAns The last calculation result obtained is stored in Ans ansvver memory The calculation result obtained prior to the last one is stored in PreAns previous answer memory Displaying the result of a new calculation will move current Ans memory contents to PreAns memory and store the nevv calculation E 15 results in Ans memory PreAns memory can be used only in the COMP Mode PreAns memory contents are cleared whenever the calculator enters another mode from the COMP M
20. e quotient is not a positive integer or if the remainder is not a positive integer or positive fractional value Example 5 abs R 2 gt Calculated as 5 2 Function Calculations For actual operations using each function see the Examples section following the list below T 1 is displayed as 3 141592654 but m 3 14159265358980 is used for internal calculations e is displayed as 2 718281828 but e 2 71828182845904 is used for internal calculations E 18 sin cos tan 5111 cos tan Trigonometric functions Specify the angle unit before performing calculations See 1 sinh cosh tanh sinh cosh tanh Hyperbolic functions Input a function from the menu that appears when you press yl The angle unit setting does not affect calculations See 2 9 These functions specify the angle unit specifies degrees radians and 9 grads Input a function from the menu that appears when you perform the following key operation fs DRG gt See 10 Exponential functions Note that the input method is different depending upon whether you are using Natural Display or Linear Display See 4 log Logarithmic function Use the key to input log b as log a b Base 10 is the default setting if you do not input anything for a The key also can be used for input but only while Natural Display is selected In this case you must input a value for the base See 5 In
21. ession so it does not exceed the capacity of the stack Try splitting the calculation into two or more parts Syntax ERROR Cause There is a problem with the format of the calculation you are performing Action Make necessary corrections Insufficient MEM Error Cause An attempt to generate a number table in the TABLE Mode whose conditions cause it to exceed the maximum number of allowable rows The maximum number of rows is 30 when f x is selected for the setup menu table setting and 20 when f x g x is selected Action Narrow the table calculation range by changing the Start End and Step values and try again E 28 Argument ERROR Cause A non integer argument was input for the random number function Ranint Action Input only integers for the argument 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 Check the 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
22. fx 300ES PLUS User s Guide CASIO Worldwide Education Website http edu casio com CASIO EDUCAT ONAL FORUM http edu casio com forum CASIO Contents important information 8 888888888888 88 2 Sample aban ay b da a lar 2 Initializing the Calculator 2 alely rEcCaullohSu 2 Handling Precautions 8888888888889388 2 Removing the Hard Case 3 Turning Power On and Off 3 Adjusting Display Contrast 3 Key Markings vVX2OX060 80 Reading the Display 488 4 Using Menus bss 5 Specifying the Calculation Mode 5 Configuring the Calculator Setup 5 Inputting Expressions and Values 7 Recurring Decimal Calculations 9 Toggling Calculation Results 13 Basic 9 55822 amaaa sunan anana 88888 13 Prime 2
23. he way you want press Important If adjusting display contrast does not improve display readability it probably means that battery power is low Replace the battery Key Markings Pressing the or key followed by a second Alternate function key performs the alternate function of the second key sini D The alternate function is indicated by the text printed above the key sin The following snows what the different colors of the alternate function key text mean Keycap function If key marking text is this color Press and then the key to access the Yellovv applicable function Press and then the key to input the applicable variable constant or symbol E 3 Reading the Display The display of the calculator shovvs expressions you input calculation results and various indicators Input expression D Math A i K r 2 0 46 tz 0z 70529014 Calculation result e fa gt indicator appears on the right side of the calculation result it means the displayed calculation result continues to the right Use and to scroll the calculation result display e f a gt indicator appears on the right side of the input expression it means the displayed calculation continues to the right Use and 66 to scroll the input expression display Note that if you want to scroll the input expression while both the and gt indicators are displayed you will need to press first and then use and to scroll
24. lculations 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 L 4 x sin30 x 30 10 x 3 120 4 X sin 30 DJ x LO 30 El 10 x 3 D 1 7 120 1 Input of the closing parenthesis is required for sin sinh and other functions that include parentheses 2 These multiplication symbols x can be omitted A multiplication symbol can be omitted when it occurs immediately before an opening parenthesis immediately before sin or other function that includes parentheses immediately before the Ran random number function or immediately before a variable A B C D E F M X Y zor e 3 The closing parenthesis immediately before the operation can be omitted dxsin S0 x 30 1b Input example omitting 2 and D operations in the above Asin 30 10 5 example 4 sin 30 Q 30H 10 X 3 5 120 Note f the calculation becomes longer than the screen vvidth during input the screen will scroll automatically to the right and the lt indicator will appear on the display VVhen this happens you can scroll back to the left by using amp and to move the cursor e When Linear Display is selected pressing A will cause the cursor to jump to the beginning of the calculation while amp will jump to the end When Natural Display is selected pressi
25. mal value fraction or negative value calculation result is displayed Trying to do so will cause a math error Math ERROR You will not be able to execute prime factorization vvhile the result of a calculation that uses Pol Rec R is displayed Remainder Calculations You can use the R function in order to obtain the quotient and remainder in a division calculation L To calculate the quotient and remainder of 5 2 MATH 5 Suit abs R 2 E LINE 5 Suit abs R 2 Quotient Remainder Note Only the quotient value of a R calculation is stored in Ans memory e Assigning the result of a remainder division calculation to a variable will assign the quotient value only Performing the operation 5 abs R 2 kc STO DJ X which assigns the result of 5 R2 to X will assign a value of 2 to X lf a R calculation is part of a multi step calculation only the quotient is passed on to the next operation Example 10 HE 17 R 6 gt 10 2 Operation of the and keys is disabled while a remainder division result is on the display Cases when Remainder Division becomes Non remainder Division If either of the following conditions exists when you perform a remainder division operation the calculation will be treated as normal non remainder division e When either the dividend or the divisor is a very large value Example 20000000000 R 17 Calculated as 20000000000 17 e When th
26. n three random three digit integers 1000 459 48 117 Results shown here are for illustrative purposes only Actual results will differ To generate random integers in the range of 1 to 6 up 2 Ranint 1 sr 6 5 2 6 1 Results snown here are for illustrative purposes only Actual results will differ O13 To determine the number of permutations and combinations possible when selecting four people from a group of 10 Permutations 10 X nPr 4 E 5040 Combinations 10 nCr 4 E 210 To perform the following calculations when Fix 3 is selected for the number of display digits 10 3 x 3 and Rnd 10 3 x3 MA mo SETUP 6 Fix 3 10 EE 3 fx 3 10 000 sr 0 Rnd 10 2 3 amp 3 9 999 O75 To determine the greatest common divisor of 28 and 35 wend x GCD 28 ser 510 35 DJ 7 To determine the least common multiple of 9 and 15 wend 5 LCM 9 sur DJ 15 O 45 VAG To extract the integer part of 3 5 EE int o 3 5 5 3 To determine the largest integer that does not exceed 3 5 intg 3 5 5 E 4 E 21 Statistical Calculations STAT To start a statistical calculation perform the key operation 2 STAT to enter the STAT Mode and then use the screen that appears to select the type of calculation you vvant to perform To select this type of statistical calculation Regression formula shov
27. nfirm the following 0 123 122 0 1234 92 L confirm the following 000 5090 12345 0 12345 MATH 99999 123 999 EE 1234 9999 EZ 12345 99999 EE E 12 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 V form and decimal form or its n form and decimal form f n 6 n 0 5235987756 EINA 2 6 EE in 0 5235987756 J V2 2 x V3 v6 4 2v3 5 913591358 DINI Ka 2 2 Va 3 V6 2V3 m 5 913591358 VVhile Linear Display is selected each press of will toggle the currently displayed calculation result between its decimal form and fraction form f 1 5 02 ma 5 o 16 5 0 2 SoD 145 22 1 2 1 02 ux 1 EZ 4 EZ 5 EE 145 6 0 2 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 VVhen ON is selected for Rdec on the setup menu pressing will switch the calculation result to recurring decimal form For details see Recurring Decimal Calculations e You cannot switch from decimal form to mixed fraction form if the total number of digits used in the mixed fraction including integer numerator denominat
28. ng 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 e 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 W when there are 10 bytes or less of allowed input remaining If this happens end calculation input and then press Calculation Priority Sequence The priority sequence of input calculations is evaluated in accordance vvith the rules below When the priority of two expressions is the same the calculation is performed from left to right ist Parenthetical expressions opd Functions that require an argument to the right and a closing parenthesis following the argument Functions that come after the input value x7 x x xl 9 59 Si powers x roots Vo Ath Fractions E 7 Negative sign Note When squaring a negative value Such as 2 the value being squared must be enclosed in parentheses CQ 2 Since x has a higher priority than the negative sign inputting 2 x would result in the squaring of 2 and then appending a negative sign to the result Always keep the priority sequence in mind and enclose negative values in parentheses when required 6th STAT Mode estimated values 2 7th 1 M
29. ode 47 To divide the result of 3 x 4 by 30 EMA 0046 4 1212 Continuing 30 0 4 T 789 Ee 579 21 0 ata Arc D Math A Continuing 789 ans 210 L For ka Tk Fibonacci sequence determine the sequence from T to Ts Note however that T 1 and 1 QA T 1 1 Ans T 1 D Math A 1 1 l Ans 1 PreAns Ti 1 T2 Ti TF1 D A ans PreAns ANS PreAns Ans Ts 2 PreAns T2 1 Math A D T4 13 T2 2 1 MM D Math A Ans Preans Ts T4 T2 3 2 Result The sequence is 1 1 2 3 5 Variables A B C D E F X Y Your calculator has eight preset variables named A B C D E F X and Y You can assign values to variables and also use the variables in calculations L To assign the result of 3 5 to variable A 3 4 5 r fey STO O A 8 E 16 To multiply the contents of variable A by 10 Continuing A X 10 E 80 To recall the contents of variable A Continuing O A 8 L To clear the contents of variable A 0 STO OKA 0 Independent Memory M You can add calculation results to or subtract results from independent memory The M appears on the display when there is any value other than zero stored in independent memory L To clear the contents of M 0 STO M M 0 L To add the result of 10 x 5 to M Continuing 10 X 5 50 L To su
30. or and separator symbols is greater than 10 Note With Natural Display MathO pressing instead of after inputting a calculation will display the calculation result in decimal form Pressing after that will switch the calculation result to recurring decimal form fraction form or n form The V form of the result will not appear in this case Basic Calculations Fraction Calculations Note that the input method for fractions is different depending upon whether you are using Natural Display or Linear Display J 3 1 mu 2830081828 4 or 2 2 365 EE EZ 1 2 5 Z m 26301826 716 E 13 4 31 2 TM 40M 8 8 3801028 1 LINE 41535102S 112 Note Mixing fractions and decimal values in a calculation while Linear Display is selected will cause the result to be displayed as a decimal value e 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 Perform the following key operation Gen a Boo To switch a calculation result between fraction and decimal form Press 59 Percent Calculations Inputting a value and pressing 90 causes the input value to become a percent 4 150 x 20 30 150 D 20 75 EZ 30 L Calculate what percentage of 880 is 660 75 660 880 wis 75 47 Increase 2500 by 15 2875 2500 2500 X 15 96 2875 47 Discount 3500 by 25 2625 3500 350
31. or pressing to clear the message and calculation E 27 Displaying the Location of an Error While an error message is displayed press amp or to return to the calculation screen The cursor vvill be positioned at the location vvhere the error occurred ready for input Make the necessary corrections to the calculation and execute it again L When you input 14 0 x 2 by mistake instead of 14 10 x 2 Hath ERROR 14 510 x 2 E LALI Cancel Ca JC Goto or 14 02 4 1 Clearing the Error Message VVhile an error message is displayed press to return to the calculation screen Note that this also clears the calculation that contained the error Error Messages Math ERROR Cause The intermediate orfinal result of the calculation you are performing exceeds the allovvable calculation range Your input exceeds the allovvable input range particularly when using functions The calculation you are performing contains an illegal mathematical operation such as division by zero Action Check the input values reduce the number of digits and try again When using independent memory or a variable as the argument of a function make sure that the memory or variable value is within the allowable range for the function Stack ERROR Cause The calculation you are performing has caused the capacity of the numeric stack or the command stack to be exceeded Action Simplify the calculation expr
32. rithmic regression of the data 3 Specify Fix 3 for the result Perform the following operation after completing the operations in L3 160 suet 1 STAT 5 Reg 5 5 5 0106 896 Result 8106 898 Important Regression coefficient correlation coefficient and estimated value calculations can take considerable time when there are a large number Of data items E 24 Creat ng a Number Table from Two Functions TABLE TABLE generates a number table based on one or tvvo functions You can use the function f x or the two functions fx and g x See Configuring the Calculator Setup for more information Perform the following steps to generate a number table 1 Press 3 TABLE to enter the TABLE Mode 2 Use the X variable to input two functions one in the format fx and the other in the format g x e Be sure to input the X variable bu O X when generating a number table Any variable other than X is handled as a constant e If you are using a single function input a function in the format only e Pol and Rec cannot be input in the function 3 n response to the prompts that appear input the values you want to use pressing after each one For this prompt Input this Start Input the lower limit of X Default 1 End Input the upper limit of X Default 5 Note Make sure that the End value is always greater than the Start value Step Input the increment step Default 1 No
33. 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 e You can select a menu item by pressing the number key that corresponds to the number to its left on the menu screen e The V indicator in the upper right corner of a menu means there is another menu below the current one The A indicator means another menu above Use and QA to switch between menus To close a menu without selecting anything press 4g Specifying the Calculation Mode When you want to perform this type of Perform this key operation operation General calculations 1 COMP Statistical and regression calculations 2 STAT Generate a number table based on one or two functions 3 TABLE Note The initial default calculation mode is the COMP Mode Configuring the Calculator Setup First perform the following key operation to display the setup menu mo SETUP Next use o and and the number keys to configure the settings you vvant Underlined settings are initial defaults MthlO 2 LinelO Specifies the display format Natural Display MthlO causes fractions D Maha irrational numbers and other expressions to be displayed as they are written on paper 22 MthlO Selects MathO or LineO MathO displays Ls input and calculation results using the same format as they are written on paper LineO displa
34. te The Step specifies by hovv much the Start value should be sequentially incremented as the number table is generated f you specify Start 1 and Step 1 X seguentialiy will be assigned the values 1 2 3 4 and so on to generate the number table until the End value is reached e Inputting the Step value and pressing generates and displays the number table in accordance with the parameters you specified e Pressing while the number table screen is displayed will return to the function input screen in step 2 To generate a number table for the functions f x x and g x x for the range 1 x 1 incremented in steps of 0 5 MATH to 3 TABLE f 44 mi SETUP 4 TABLE 2 f x g x YEMEYE X 3 EE 1 2 2 jgid Pressing without inputting anything for g x will generate a number table based on x only vxw 1 22 2 5 3 42 5 EZ tol1 1 0 5 F E 25 Note The maximum number of rovvs in the generated number table depends on the setup menu table setting Up to 30 rows are supported for the f x setting while 20 rows are supported for the f x g x setting e You can use the number table screen for viewing values only Table contents cannot be edited The number table generation operation causes the contents of variable X to be changed Important The function you input for number table generation is deleted whenever you display the
35. to the right of the character or function you want to delete and then press In the overwrite mode move the cursor so it is directly under the character or function you want to delete and then press eL To insert a character or function into a calculation Use and amp 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 Recurring Decimal Calculations Your calculator uses a recurring decimal when you input a value Calculation results also can be displayed using recurring decimal form whenever applicable Inputting a Recurring Decimal When inputting a recurrent decimal press Va IM before inputting its period repetend and then input the period up to the ending value To input the recurring decimal 0 909090 0 90 perform the follovving operation 2 APH Va 90 Important If the value starts with an integer part like 12 3123123 do not include the integer part when inputting the period 12 312 Recurring decimal input is possible only when Natural Display is selected 4 input 0 33333 0 3 IH E 9 D Math 3 4 To input 1 428571428571 1 428577 EINI 1 Eu m 17 D Math D Math 42897111 492B71l L To calculate 1 021 2 312 QING 1 Em
36. tside the specified range results are displayed using exponential format Norm 1 107 gt xl Ixl 2 107 Norm 2 10 gt 14 Ixl 2 100 Example N 1 200 5 x 102 Norm 1 0 005 Norm 2 o 1 2 4 Specifies either mixed fraction ab c or improper fraction d c for display of fractions in calculation resulis OJON 210FF Specifies whether or not to display a FREQ frequency column in the STAT Mode Stat Editor 4 TABLE 1 f 09 2 f x g x Specifies whether to use function Kx only or the two functions f x and g x in the TABLE Mode O 5 Rdec JON 21OFF Specifies whether or not to display calculation results using recurring decimal form 6 Disp 1 Dot 2 Specifies whether to display a dot or a comma for the calculation result decimal point A dot is always displayed during input Note When dot is selected as the decimal point the separator for multiple results is a comma When comma is selected the separator is a semicolon O 7 CONT Adjusts display contrast See Adjusting Display Contrast for details Initializing Calculator Settings Perform the following procedure to initialize the calculator which returns the calculation mode to COMP and returns all other settings including setup menu settings to their initial defaults 9 CLR 1 Setup Yes E 6 inputting Expressions and Values Basic Input Rules Ca
37. ultiplication where the multiplication sign is omitted oth 8th Permutation nPr combination nCr 9th Multiplication x division remainder calculations R 10th 1 Addition subtraction Inputting with Natural Display Selecting Natural Display makes it possible to input and display fractions and certain functions log AZ x x v Va Vo x 10 e Abs just as they are written in your textbook 2 2 V2 14 v2 2 2 H val 2 O 1 ka 2 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 x 2 Further input will become impossible if the height of the calculation you are inputting exceeds the allowable limit e Nesting of functions and parentheses is allowed Further input will become impossible if you nest too many functions and or parentheses If this happens divide the calculation into multiple parts and calculate each part separately Note When you press and obtain a calculation result using Natural Display part of the expression you input may be cut off If you need to view the entire input expression again press and then use and amp to scroll the input expression Using Values and Expressions as Arguments Natural Display only A value or an expression that you have already input can be used as the argument of
38. vailable Sum Xx Ly Ly xy 2 Q STAT 31 Sum to Number of Items n Mean x y Population Standard Deviation ox oy Sample Standard Deviation sx sy QD STAT 4 Var 4 to Minimum Value minX minY Maximum Value maxX maxY CQJ STAT 5 MinMax 4 to 2 When the single variable statistical calculation is selected 1 STAT 6 MinMax 1 to 4 When a paired variable statistical calculation is selected First Quartile Q1 Median med Third Quartile Q3 CQJ STAT 5 MinMax 3 to 5 When the single variable statistical calculation is selected Regression Coefficients A B Correlation Coefficient r Estimated Values 51 Reg l to 5 Regression Coefficients for Quadratic Regression A B C Estimated Values X 2 6 51 Reg to 8 e See the table at the beginning of this section of the manual for the regression formulas e X X X and are not variables They are commands of the type that take an argument immediately before them See Calculating Estimated Values for more information 472 To input the single variable data x 1 2 2 3 3 8 4 4 5 using the FREQ column to specify the number of repeats for each items xn freqn 1 1 2 2 3 3 4 2 5 1 and calculate the mean and population standard deviation E 23 SETUP B STAT ON ini 2 STAT G1 1 VAR 1 E 2 EE 3 f
39. vn in parentheses Single variable X 1 1 VAR Paired variable X Y linear regression y A Bx 2 Paired variable X Y quadratic regression 2 y A Bx Cx 3 _ 0X Paired variable X Y logarithmic regression y A Binx An Paired variable X Y e exponential regression y aes Be Paired variable X Y ab exponential regression y AB Paired variable X Y power regression y Z A X B Paired variable X Y inverse regression y A B x Pressing any of the above keys 1 to 8 displays the Stat Editor Note VVhen you vvant to change the calculation type after entering the STAT Mode perform the key operation 1 STAT 1 Type to display the calculation type selection screen Press this key 61 A BAX 8 1 X Inputting Data Use the Stat Editor to input data Perform the following key operation to display the Stat Editor 1 STAT 2 Data The Stat Editor provides 40 rows for data input when there is an X column only or when there are X and Y columns 20 rows when there are X and FREQ 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 Wh To select linear regression and input the following data 170 66 173 6
40. ylogx 100 x 0 y gt 0 m 0 m n are integers 2n 1 However 1 x 1079 lt ylog x 100 y gt 0 x 1 x 10100 1 x logy lt 100 y 0 x gt 0 y lt 0 x 2n 1 2141 m m n are integers m However 1 x 10100 lt 1 log iyl 100 Total of integer numerator and denominator must be 10 d digits or less including division marks Ranint a b a lt b lal Ibl lt 1 x 1017 b a lt 1 x 10 e Precision is basically the same as that described under Calculation Range and Precision above ex Vy 3V xl nPr nCr type functions require consecutive internal calculation which can cause accumulation of errors that occur with each calculation e Error is cumulative and tends to be large in the vicinity of a function s singular point and inflection point e The range for calculation results that can be displayed in x form when using Natural Display is Ixl lt 10 Note however that internal calculation error can make it impossible to display some calculation results in x form It also can cause calculation results that should be in decimal form to appear in form 2 X r 9 999999999 x 10 0 Same sinx y y Errors The calculator vvill display an error message vvhenever an error occurs for any reason during a calculation There are two ways to exit an error message display Pressing or amp to display the location of the error
41. ys input the same way as MathO but calculation results are displayed in linear format Linear Display LinelO causes fractions and other expressions to be displayed in a single line 445 413 Note The calculator switches to Linear Display automatically whenever you enter the STAT Mode In this manual the ENG symbol next to a sample operation indicates Natural Display MathO while the IJ symbol indicates Linear Display 3 Deg 4 5 Gra Specifies degrees radians or grads as the angle unit for value input and calculation result display Note In this manual the PEJ symbol next to a sample operation indicates degrees while the J symbol indicates radians E 5 61Fix 7 Sci 8 Norm Specifies the number of digits for display of a calculation result Fix The value you specify from O 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 MNJ 100 7 14 286 Fix 3 14 29 Fix 2 Sci The value you specify from 1 to 10 controls the number of significant digits for displayed calculation results Calculation results are rounded off to the specified digit before being displayed Example I 1 7 1 4286 x 107 Sci 5 1 429 x 107 Sci 4 Norm Selecting one of the tvvo available settings Norm 1 Norm 2 determines the range in vvhich results vvill be displayed in non exponential format Ou
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