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123

123

(←)

0.123×10

3

(←)

0.000123×10

6

Remainder Calculations

You can use the ÷R function to obtain the quotient and remainder in a
division calculation.

Example:

To calculate the quotient and remainder of 5 ÷ 2 (quotient = 2,

remainder = 1)

(MthIO-MathO)

5

(÷R) 2

(LineIO)

5

(÷R) 2

Note

• Only the quotient value of a ÷R calculation is stored in Ans memory.
• Assigning the result of a remainder division calculation to a variable will assign the

quotient value only. Performing the operation 5

(÷R) 2

(STO)

(X) (which assigns the result of 5÷R2 to X) will assign a value of 2 to X.

• If a ÷R calculation is part of a multi-step calculation, only the quotient is passed on to

the next operation.

Example: 10

17

(÷R) 6

→ 10

2

→ 12

• 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 conditions below exists when you perform a remainder
division operation, the calculation will be treated as normal (non-
remainder) division.

• When either the dividend or the divisor is a very large value

Example: 20000000000

(÷R) 17

→ Calculated as: 20000000000 ÷ 17

24

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Содержание FX-300ES PLUS

Страница 1: ...EN https edu casio com CASIO Worldwide Education Website https world casio com manual calc Manuals are available in multi languages at User s Guide 2nd edition NATURAL V P A M fx 300ES PLUS ...

Страница 2: ...put Rules 16 Inputting with Natural Display 17 Form Calculation Range 17 Using Values and Expressions as Arguments Natural Display only 18 Overwrite Input Mode Linear Display only 19 Correcting and Clearing an Expression 19 Basic Calculations 20 Toggling Calculation Results 20 Fraction Calculations 21 Percent Calculations 22 Degree Minute Second Sexagesimal Calculations 22 Multi Statements 23 Usin...

Страница 3: ...LCM 41 Integer Part of a Value Int and Largest Integer that does not Exceed a Value Intg 42 Using Calculation Modes 43 Statistical Calculations STAT 43 Inputting Data 44 Statistics Calculation Screen 45 Using the Statistics Menu 45 Calculating Estimated Values 50 Creating a Numerical Table from Two Functions TABLE 51 Technical Information 54 Errors 54 Displaying the Location of an Error 54 Clearin...

Страница 4: ...Frequently Asked Questions 62 Frequently Asked Questions 62 3 ...

Страница 5: ...e contents of this manual are subject to change without notice The displays and illustrations such as key markings shown in this manual are for illustrative purposes only and may differ somewhat from the actual items they represent QR Code is a registered trademark of DENSO WAVE INCORPORATED in Japan and in other countries Company and product names used in this manual may be registered trademarks ...

Страница 6: ...ery life may be shorter than normal Do not use a nickel based primary battery with this product Incompatibility between such batteries and product specifications can result in shorter battery life and product malfunction 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 pressur...

Страница 7: ...isplay 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 key performs the alternate function of the second key The alternate function is indicated by the text printed above the key 1 Keycap function 2 Alternate function The following shows an example of how an alternate function operat...

Страница 8: ...the same time 1 Input expression 2 Calculation result 3 Indicators If a 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 If a indicator appears on the right side of the input expression it means the displayed calculation continues to the right Use and to scroll the input e...

Страница 9: ...calculator is in the STAT Mode The default angle unit is degrees The default angle unit is radians 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 replayed or there is more data above below the current...

Страница 10: ...ou should use to navigate between menus You can select a menu item by pressing the number key that corresponds to the number to its left on the menu screen The indicator in the upper right corner of a menu means there is another menu below the current one The indicator means another menu above Use and to switch between menus To close a menu without selecting anything press 9 ...

Страница 11: ...of a numerical table based on one or two functions TABLE Note The initial default calculation mode is the COMP Mode Configuring the Calculator Setup Pressing SETUP displays the setup menu which you can use to control how the calculations are executed and displayed The setup menu has two screens which you can jump between using and Underlined ___ settings are initial defaults Specifying the Display...

Страница 12: ... MthIO MathO displays input and calculation results using the same format as they are written on paper MthIO LineO displays input the same way as MthIO MathO but calculation results are displayed in linear format Linear Display LineIO causes fractions and other expressions to be displayed in a single line Examples MthIO MathO MthIO LineO Number Format Norm 1 MthIO LineO Number Format Norm 2 LineIO...

Страница 13: ...ntial Display Range SETUP Norm Norm 1 or Norm 2 Fix The value you specify from 0 to 9 controls the number of decimal places for displayed calculation results Calculation results are rounded off to the specified digit before being displayed Example LineIO 100 7 14 286 Fix 3 14 29 Fix 2 Sci The value you specify from 0 to 9 controls the number of significant digits for displayed calculation results ...

Страница 14: ...ecifies whether or not to display a FREQ frequency column in the STAT Mode Statistics Editor To specify this Perform this key operation Show FREQ Column SETUP STAT ON Hide FREQ Column SETUP STAT OFF Specifying the Table Format Specifies whether to use function f x only or the two functions f x and g x in the TABLE Mode To specify this Perform this key operation f x only SETUP TABLE f x f x and g x...

Страница 15: ...Disp Dot Comma SETUP Disp Comma 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 Adjusting Display Contrast SETUP CONT See Getting Started for details Initializing Calculator Settings Perform the following procedure to initialize the calculator which returns the calculation mode to COMP and returns all ...

Страница 16: ...Number Format Norm 1 Fraction Display Format d c Stat Format OFF Table Format f x g x Recurring Decimal Format ON Decimal Point Dot 15 ...

Страница 17: ...tely 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 scientific constants π or e 3 The closing parenthesis immediately before the operation can be omitted Example 2 Input example omitting 2 and 3 operations in the above example 4 30 30 10 3 Note If the calculation becomes longer than the scr...

Страница 18: ...t of an input expression to be greater than one display line The maximum allowable height of an input expression is two display screens 31 dots 2 Further input will become impossible if the height of the calculation you are inputting exceeds the allowable limit Nesting of functions and parentheses is allowed Further input will become impossible if you nest too many functions and or parentheses If ...

Страница 19: ...gument of a function After you have input 7 6 for example you can make it the argument of resulting in 7 6 Example To input 1 7 6 and then change it to 1 7 6 MthIO MathO 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...

Страница 20: ... Display to Natural Display will automatically switch to the insert mode Correcting and Clearing an Expression To delete a single character or function Move the cursor so it is directly 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 To insert a char...

Страница 21: ...ion form and decimal form its form and decimal form or its π form and decimal form Example 1 π 6 1 6 π 0 5235987756 MthIO MathO π 6 1 6 π 0 5235987756 Example 2 2 2 3 6 2 3 5 913591358 MthIO MathO 2 2 3 6 2 3 5 913591358 While Linear Display is selected each press of will toggle the currently displayed calculation result between its decimal form and fraction form Example 3 1 5 0 2 1 5 LineIO 1 5 0...

Страница 22: ...r numerator denominator and separator symbols is greater than 10 Note With Natural Display MathO inputting one of the following calculations and then pressing instead of will display the calculation result in decimal form a calculation that results in a form or π form expression a division calculation Pressing after that will switch to the fraction form or π form of the calculation result The form...

Страница 23: ...d decimal form Press Percent Calculations Inputting a value and pressing causes the input value to become a percent 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 sex...

Страница 24: ...l 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 shif...

Страница 25: ... operation 5 R 2 STO X which assigns the result of 5 R2 to X will assign a value of 2 to X If a R calculation is part of a multi step calculation only the quotient is passed on to the next operation Example 10 17 R 6 10 2 12 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 conditi...

Страница 26: ...Inputting a Recurring Decimal When inputting a recurrent decimal press 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 following operation 0 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 po...

Страница 27: ...urring 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 form...

Страница 28: ...0 142857 0 1428571429 Norm 1 MthIO MathO 1 7 Display as fraction Display as recurring decimal Return to initial display format Norm 1 Example 3 1 7 0 142857 0 1428571429 Norm 1 LineIO 1 7 Display as recurring decimal Decimal value according to Norm 1 setting Return to initial display format fraction 27 ...

Страница 29: ...tor and separator symbol must be no more than 10 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 informat...

Страница 30: ...he following 0 123 123 999 0 1234 1234 9999 0 12345 12345 99999 MthIO MathO 123 999 1234 9999 12345 99999 Prime Factorization In the COMP Mode a positive integer no more than 10 digits long can be factored to prime factors Example 1 To perform prime factorization on 1014 29 ...

Страница 31: ...the setup menu to change the angle unit setting Deg Rad Gra or the display digits setting Fix Sci Norm Note You will not be able to execute prime factorization while a decimal 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 while the result of a calculation that uses Pol Rec R is...

Страница 32: ...ory Functions Answer Memory Ans Previous Answer Memory PreAns The last calculation result obtained is stored in Ans answer 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 new calculation results in Ans memory PreAns memory can be us...

Страница 33: ...ntinuing 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 T1 1 1 Ans T1 1 T2 1 1 Ans T2 1 PreAns T1 1 T3 T2 T1 1 1 PreAns Ans T3 2 PreAns T2 1 T4 T3 T2 2 1 Ans T4 3 PreAns T3 2 T5 T4 T3 3 2 Result The sequence is 1 1 2 3 5 32 ...

Страница 34: ...ariable A Continuing A 8 To clear the contents of variable A 0 STO A 0 Independent Memory M You can add calculation results to or subtract results from independent memory The M indicator appears on the display when there is any value other than zero stored in independent memory Example To clear the contents of M 0 STO M 0 To add the result of 10 5 to M Continuing 10 5 50 To subtract the result of ...

Страница 35: ...retained even if you press 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 CLR Memory Yes 34 ...

Страница 36: ...s 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 718281828 but e 2 71828182845904 is used for internal calculations Trigonometric Functions Specify the angle unit before performing calculations Example 1 sin 30 0 5 LineIO Angle unit Deg 30 0 5 Example 2 sin 1 0 5 30 LineIO Angle unit Deg sin 1 0 5 30 Hyperbol...

Страница 37: ...ons Note that the input method is different depending upon whether you are using Natural Display or Linear Display Example To calculate e5 2 to three significant digits Sci 3 SETUP Sci MthIO MathO 5 2 2 97 102 LineIO 5 2 2 97 102 Logarithmic Functions Use the key to input logab 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 ...

Страница 38: ...0 100 Power Functions and Power Root Functions Note that the input methods for and are different depending upon whether you are using Natural Display or Linear Display Example 1 1 2 103 1200 MthIO MathO 1 2 10 3 1200 Example 2 1 1 2 2 16 MthIO MathO 1 1 2 2 16 Example 3 52 3 15625 5 15625 Example 4 5 32 2 MthIO MathO 5 32 2 LineIO 5 32 2 Example 5 To calculate 2 3 3 2 4 242640687 to three decimal ...

Страница 39: ... input in consecutive sequence x2 x3 x 1 If you input 2 for example the final will be ignored To input 222 input 2 press the key and then press MthIO MathO Rectangular Polar Coordinate Conversion Pol converts rectangular coordinates to polar coordinates while Rec converts polar coordinates to rectangular coordinates 1 Rectangular Coordinates Rec 2 Polar Coordinates Pol 38 ...

Страница 40: ...nates 2 2 to polar coordinates Angle unit Deg MthIO MathO Pol 2 2 r 2 θ 45 LineIO Pol 2 2 r 2 θ 45 Example 2 To convert polar coordinates 2 45 to rectangular coordinates Angle unit Deg MthIO MathO Rec 2 45 X 1 Y 1 Factorial Function Example 5 3 40320 5 3 x 40320 Absolute Value Function Abs Note that the input method is different depending upon whether you are using Natural Display or Linear Displa...

Страница 41: ...re are for illustrative purposes only Actual results will differ 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 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 determin...

Страница 42: ...ayed 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 3 9 999 or not used 10 3 3 10 000 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 10 000 Rnd 10 3 3 9 999 Greatest Common Divi...

Страница 43: ... of a Value Int Extracts the integer part of a value Example To extract the integer part of 3 5 Int 3 5 3 Largest Integer that does not Exceed a Value Intg Determines the largest integer that does not exceed a value Example To determine the largest integer that does not exceed 3 5 Intg 3 5 4 42 ...

Страница 44: ...wn in parentheses Press this key Single variable X 1 VAR Paired variable X Y linear regression y A Bx A BX Paired variable X Y quadratic regression y A Bx Cx2 _ CX2 Paired variable X Y logarithmic regression y A Blnx ln X Paired variable X Y e exponential regression y A eBx e X Paired variable X Y ab exponential regression y ABx A B X Paired variable X Y power regression y AxB A X B Paired variabl...

Страница 45: ...e 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 Example 1 To select linear regression and input the following data 170 66 173 68 179 75 STAT A BX 170 173 179 66 68 75 Important All data currently input in the Statistics Editor is deleted wheneve...

Страница 46: ...nts In the Statistics Editor perform the following key operation STAT Edit Del A Statistics Calculation Screen The Statistics Calculation Screen is for performing statistical calculations with the data you input with the Statistics Editor Pressing the key while the Statistics Editor is displayed switches to the Statistics Calculation Screen Using the Statistics Menu While the Statistics Calculatio...

Страница 47: ...viation etc Single variable MinMax Paired variable MinMax Display the MinMax sub menu of commands for obtaining maximum and minimum values Single variable 1 VAR Statistical Calculation Commands Sum Sub menu STAT Sum Select this menu item When you want to obtain this x2 Sum of squares of the sample data x Sum of the sample data Var Sub menu STAT Var Select this menu item When you want to obtain thi...

Страница 48: ...ub menu STAT Sum Select this menu item When you want to obtain this x2 Sum of squares of the X data 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 x2 y Sum of X data squares Y data x4 Sum of biquadrate of the X data Var Sub menu STAT Var Select this menu item When you want to obtain this n Number of ...

Страница 49: ... 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 x Estimated value of X y Estimated value of 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 ...

Страница 50: ...n argument immediately before them See Calculating Estimated Values for more information Example 2 To input the single variable data x 1 2 2 3 3 3 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 SETUP STAT ON STAT 1 VAR 1 2 3 4 5 1 2 3 2 STAT Var x 3 STAT Var σx 1 154700538 Mean 3 Popu...

Страница 51: ...ariable statistical calculation the estimated value of y can be calculated for a given x value The corresponding x value two values x1 and x2 in the case of quadratic regression also can be calculated for a value of y in the regression formula Example 4 To determine the estimate value for x when y 130 in the regression formula produced by logarithmic regression of the data in Example 3 Specify Fix...

Страница 52: ...in the format f x and the other in the format g x Be sure to input the X variable X when generating a numerical table Any variable other than X is handled as a constant If you are using a single function input a function in the format f x only The following cannot be used in the function Pol Rec 3 In response to the prompts that appear input the values you want to use pressing after each one For t...

Страница 53: ...d Inputting the Step value and pressing generates and displays the numerical table in accordance with the parameters you specified Pressing while the numerical table screen is displayed will return to the function input screen in step 2 Example To generate a numerical table for the functions f x x2 1 2 and g x x2 1 2 for the range 1 x 1 incremented in steps of 0 5 MthIO MathO TABLE SETUP TABLE f x...

Страница 54: ...ed The maximum number of rows in the generated numerical 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 Important The function you input for numerical table generation is deleted whenever you display the setup menu in the TABLE Mode and switch between Natural Display and Linear Display 53 ...

Страница 55: ...he calculation screen The cursor will be positioned at the location where the error occurred ready for input Make the necessary corrections to the calculation and execute it again Example When you input 14 0 2 by mistake instead of 14 10 2 MthIO MathO 14 0 2 or 1 Clearing the Error Message While an error message is displayed press to return to the calculation screen Note that this also clears the ...

Страница 56: ... or the command stack to be exceeded Action Simplify the calculation expression so it does not exceed the capacity of the stack Try splitting the calculation into two or more parts Syntax ERROR Cause There is a problem with the format of the calculation you are performing Action Make necessary corrections Argument ERROR Cause There is a problem with the argument of the calculation you are performi...

Страница 57: ...checks 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 CLR Setup Yes Replacing the Battery The battery needs to be replaced...

Страница 58: ...e with the rules below When the priority of two expressions is the same the calculation is performed from left to right 1 Parenthetical expressions 2 Functions that require an argument to the right and a closing parenthesis following the argument 3 Functions that come after the input value x2 x3 x 1 x r g powers roots 4 Fractions 5 Negative sign 6 STAT Mode estimated values x y x 1 x 2 7 Multiplic...

Страница 59: ...s 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 Calculation Range and Precision Calculation Range 1 10 99 to 9 999999999 1099 or 0 Number of Digits for Internal Calculation 15 digits Precision In general 1 at the 10th digit for a single calculation Precision for exp...

Страница 60: ...x 4 999999999 1099 cosh 1 x 1 x 4 999999999 1099 tanhx 0 x 9 999999999 1099 tanh 1 x 0 x 9 999999999 10 1 logx lnx 0 x 9 999999999 1099 10x 9 999999999 1099 x 99 99999999 ex 9 999999999 1099 x 230 2585092 x 0 x 1 10100 x2 x 1 1050 x 1 x 1 10100 x 0 3 x x 1 10100 x 0 x 69 x is an integer nPr 0 n 1 1010 0 r n n r are integers 1 n n r 1 10100 nCr 0 n 1 1010 0 r n n r are integers 1 n r 1 10100 or 1 n...

Страница 61: ...eger numerator and denominator must be 10 digits or less including separator symbol 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 xy x y 3 x nPr nCr type functions require consecutive internal calculation which can cause accumulation of erro...

Страница 62: ...104 F Dimensions 11 1 H 77 W 161 5 D mm 3 8 H 3 W 63 8 D Approximate Weight 95 g 3 4 oz including the battery Verifying the Authenticity of Your Calculator Use the steps below to verify that your calculator is a genuine CASIO calculator 1 Press 2 Press This displays the information below Calculator ID number 24 character string QR Code for accessing the Worldwide Education Service https wes casio ...

Страница 63: ...rformed 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 What is th...

Страница 64: ...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 Natural Textbook Display Model LineIO 30 15 15 5 Failure to press here as shown below will result in calculation of sin 45 63 ...

Страница 65: ... 2019 CASIO COMPUTER CO LTD ...

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