EN fx-82MS fx-85MS fx-220 PLUS fx-300MS fx-350MS (2nd edition / S-V.P.A.M.) User’s Guide CASIO Worldwide Education Website https://edu.casio.com Manuals are available in multi languages at https://world.casio.
Table of Contents Before Using the Calculator.................................................... 3 About this Manual.................................................................................... 3 Initializing the Calculator.......................................................................... 3 Precautions.............................................................................................. 3 Getting Started.................................................................................
Function Calculations............................................................ 25 Pi ( π ), Natural Logarithm Base e ..........................................................25 Pi ( π ).............................................................................................................25 Natural Logarithm Base e (fx-82MS/fx-85MS/fx-300MS/fx-350MS only).....25 Trigonometric Functions, Inverse Trigonometric Functions................... 25 Trigonometric Functions...................................
Before Using the Calculator About this Manual • In no event shall CASIO Computer Co., Ltd. be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of this product and items that come with it. • Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of any kind whatsoever by any other party arising out of the use of this product and the items that come with it.
• Use only the type of battery specified for this calculator in this manual. Handling Precautions • Even if the calculator is operating normally, replace the battery according to the schedule shown below. Continued use after the specified number of years may result in abnormal operation. Replace the battery immediately after display figures become dim.
Turning Power On and Off • Press • Press to turn on the calculator. (OFF) to turn off the calculator. Note • The calculator also will turn off automatically after approximately 10 minutes of nonuse. Press the key to turn the calculator back on. Adjusting Display Contrast 1. Press . • This displays the display setup screen. 2. Press . 3. Use and to adjust display contrast. 4. After the setting is the way you want, press .
fx-82MS/fx-85MS/fx-300MS/ fx-350MS: fx-220 PLUS: (1) Keycap function (2) Alternate function • The following shows what the different colors of the alternate function key text mean. If key marking text is this color: It means this: Yellow Press and then the key to access the applicable function. Press Red and then the key to input the applicable variable, constant, function, or symbol.
* Indicates the menu item that is selected by the number key operation ( ) before it. Note that this is not part of the actual key operation you perform. • The cursor key is marked with four arrows, indicating direction, as shown in the illustration nearby. In this manual, cursor key operation is , , , and . indicated as Reading the Display The two-line display makes it possible to view both the calculation formula and its result at the same time.
This indicator: SCI M Means this: A fixed number of significant digits is in effect. There is a value stored in independent memory. STO The calculator is standing by for input of a variable name to assign a value to the variable. This indicator appears after you press (STO). (fx-82MS/fx-85MS/fx-300MS/fx-350MS only) RCL The calculator is standing by for input of a variable name to recall the variable's value. This indicator appears after you press .
Calculation Modes and Calculator Setup Calculation Mode Before starting a calculation, you must first enter the correct mode as indicated in the table below.
Deg Rad Gra Specifies degrees, radians or grads as the angle unit for value input and calculation result display. (90°= π /2 radians = 100 grads) Fix Sci Norm Specifies the number of digits for display of a calculation result. Fix: The value you specify (from 0 to 9) controls the number of decimal places for displayed calculation results. Calculation results are rounded off to the specified digit before being displayed. Example: 100 ÷ 7 = 14.286 (Fix 3) 14.
Dot Comma Specifies whether to display a dot or a comma for the calculation result decimal point. A dot is always displayed during input. Dot: Period decimal point, comma separator Comma: Comma decimal point, period separator Note • To close the setup menu without selecting anything, press . Initializing the Calculation Mode and Other Settings Performing the following procedure initializes the calculation mode and other setup settings as shown below.
Basic Calculations key to enter the COMP Mode when you want to perform Use the basic calculations. (COMP) Inputting Expression and Values Example: 4 × sin30 × (30 + 10 × 3) = 120 4 30 30 10 (Angle unit: Deg) 3 Note • The memory area used for calculation input can hold 79 "steps". One step is taken up each time you press a number key or arithmetic operator key ( , , , ).
Example 2: To correct the expression 369 × × 2 so it becomes 369 × 2 2 369 Example 3: To correct 2.362 so it becomes sin2.362 36 2 (INS) Clearing all of the calculation you are inputting Press . Arithmetic Calculations • Negative values inside of calculations must be enclosed within parentheses. For details, see "Calculation Priority Sequence." • It is not necessary to enclose a negative exponent within parentheses. 2 34 5 sin 2.34 × 10-5 → Example 1: 23 + 4.5 - 53 = -25.5 23 4 5 53 -25.
6 4 5 0.3 Example 6: 2 × [7 + 6 × (5 + 4)] = 122 2 7 6 5 4 122. Number of Decimal Places and Number of Significant Digits To change the settings for the number of decimal places, the number of key a significant digits, or the exponential display format, press the number of times until you reach the setup screen shown below. Press the number key ( , , or ) that corresponds to the setup item you want to change.
Fraction Calculations Example 1: 2 1 13 + = 3 5 15 Example 2: 3 3 1 5 4 1 2 3 1 6 1 2 11 +1 =4 4 3 12 3 Example 3: 2 1 1 + 1.6 = 2.1 2 1 2 2.1 Note • Values are displayed in decimal format automatically whenever the total number of digits of a fractional value (integer + numerator + denominator + separator marks) exceeds 10. • Results of calculations that mix fraction and decimal values are always decimal.
Mixed Fraction ↔ Improper Fraction Conversion To switch a calculation result between improper fraction and mixed fraction format: (d/c). Press Example 1: 1 2 5 ↔ 3 3 1 2 3 (d/c) (d/c) Note • You can use the display setup (Disp) screen to specify the display format when a fraction calculation result is greater than one. • To change the fraction display format, press the key a number of times until you reach the setup screen shown below. Display the selection screen.
Calculation Type Calculation Method and Key Operations Calculation Formula What percent of B is A? A B (%) Ratio Example 2 A × 100 B Premium Example 3 A×B A+ 100 What is A increased by B percent? A B (%) Discount Example 4 Example 5 A×B A100 What is A decreased by B percent? A B (%) A+B × 100 B If A is added to B, by what percent does B change? A B (%) A-B × 100 B If B becomes A, by what percent does B change? B (%) A Rate of Change (1) Example 6 Rate of Change (2) Example 7 Example 1: To
168 98 734 (STO) (A)* 20 (A) (%) 800. * As shown here, if you want to use the current Answer Memory value in a mark up or discount calculation, you need to assign the Answer Memory value into a variable and then use the variable in the mark up/discount calculation. This is because the calculation performed when (%) is pressed stores a result to Answer Memory before the key is pressed. fx-220 PLUS: 168 98 734 (Min) 20 (%) 800.
Sexagesimal Calculations Performing the following types of sexagesimal calculations produces a sexagesimal result. - Addition or subtraction of two sexagesimal values - Multiplication or division of a sexagesimal value and a decimal value Example 1: 2°20’30” + 39’30” 2 20 30 0 39 30 3°0°0. Example 2: 12°34’56” × 3.45 12 34 56 3 45 43°24°31.2 Converting Values between Sexagesimal and Decimal Example: To convert the decimal value 2.
Example 1: To convert 56088 meters to kilometers → 56.088 × 103 (km) 56.088×1003 56088 Example 2: To convert 0.08125 grams to milligrams → 81.25 × 10-3 (mg) 0 81.25×10-03 08125 Example 3: Transform the value 1234 to engineering notation, shifting the decimal point to the right. 1234. 1234 1.234×1003 1234.×1000 Example 4: Transform the value 123 to engineering notation, shifting the decimal point to the left. 123. 123 (←) 0.123×1003 (←) 0.
Note • Calculation history data is all cleared whenever you press , when you change to a different calculation mode, or whenever you initialize modes and settings. Replay While a calculation result is on the display, you can press edit the expression you used for the previous calculation. or to Example: 4 × 3 + 2 = 14 4×3-7=5 4 (Continuing) 3 2 14. 7 5.
Example 1: To divide the result of 3 × 4 by 30 4 3 (Continuing) 12. 30 Example 2: To perform the calculations shown below: 123 (Continuing) 456 579. 789 210. Variables (A, B, C, D, E, F, M, X, Y) (fx-82MS/ fx-85MS/fx-300MS/fx-350MS only) Your calculator has nine preset variables named A, B, C, D, E, F, M, X, and Y. You can assign values to variables and use the variables in calculations. Example: To assign the result of 3 + 5 to variable A 5 3 (STO) (A) 8.
Example 1: To clear the contents of M fx-82MS/fx-85MS/fx-300MS/fx-350MS: 0 (STO) (M) 0. (Min) 0. fx-220 PLUS: 0 To add the result of 10 × 5 to M (Continuing) 10 5 50. To subtract the result of 10 + 5 from M (Continuing) 10 5 (M-) 15. (M) 35. To recall the contents of M fx-82MS/fx-85MS/fx-300MS/fx-350MS: (Continuing) fx-220 PLUS: 35. (Continuing) Example 2: 23 + 9 = 32 53 - 6 = 47 -) 45 × 2 = 90 99 ÷ 3 = 33 (Total) 22 fx-82MS/fx-85MS/fx-300MS/fx-350MS: 23 9 (STO) 53 45 2 (M) 6 47.
53 45 2 6 (M-) 99 3 47. 90. 33. 22. Clearing the Contents of All Memories Independent memory and variable contents are retained even if you press , or turn off the calculator. Perform the following procedure when you want to clear the contents of all memories.
Function Calculations key to enter the COMP Mode when you want to perform Use the function calculations. (COMP) Using functions can slow down a calculation, which may delay display of the result. To interrupt an ongoing calculation before its result appears, press . Pi ( π ), Natural Logarithm Base e Pi ( π ) You can input pi ( π ) into a calculation. The following shows the required key operations and the values this calculator uses for pi ( π ). π = 3.14159265358980 ( ( π )) π is displayed as 3.
• Press the number key ( , , or unit you want to use. (90° = π /2 radians = 100 grads) ) that corresponds to the angle Example 1: sin 30° = 0.5 (Angle unit: Deg) ･････ (Deg) 30 Example 2: cos( ･････ 0.5 π ) = 0.5 (Angle unit: Rad) 3 (Rad) (π) 3 0.5 Example 3: tan(-35) = -0.612800788 (Angle unit: Gra) ･････ (Gra) 35 -0.612800788 Inverse Trigonometric Functions Example 1: sin-1 0.5 = 30° (Angle unit: Deg) ･････ (Deg) (sin-1) 0 Example 2: cos-1 ･････ 5 30. π √2 = 0.
(sinh) 3 6 18.28545536 (sinh-1) 30 4.094622224 Example 2: sinh-1 30 = 4.094622224 Angle Unit Conversion Press (DRG ) to display the following menu. Pressing , , or converts the displayed value to the corresponding angle unit. Example: To convert the 4.25 radians to degrees ･････ (Deg) 4 25 (DRG ) (R) Exponential Functions, Logarithmic Functions Exponential Functions Example 1: e 10 = 22026.46579 ( e x ) 10 22026.46579 Example 2: 101.5 = 31.6227766 (10 x ) 1 5 31.6227766 2 3 0.
Logarithmic Functions Example 1: log 1.23 = 0.089905111 1 23 0.089905111 Example 2: ln 90 (= log e 90) = 4.49980967 90 4.49980967 Example 3: ln e = 1 (fx-82MS/fx-85MS/fx-300MS/fx-350MS only) (e) 1. Power Functions and Power Root Functions Example 1: √2 + √3 × √5 = 5.287196909 2 3 3 5 5.287196909 3 Example 2: √5 + √-27 = -1.290024053 3 3 (√ ) 5 7 (√ ) 27 -1.290024053 1 Example 3: √123 (= 123 7 ) = 1.988647795 x 7 ( √ ) 123 1.988647795 Example 4: 123 + 302 = 1023 123 30 1023.
Rectangular-Polar Coordinate Conversion Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates. (1) Rectangular Coordinates (Rec) (2) Polar Coordinates (Pol) Specify the angle unit before performing calculations. Calculation result θ is displayed in the range of -180° < θ ≦ 180°. Calculation results are automatically assigned to variables E and F.
Example 2: To convert rectangular coordinates (1, √3) to polar coordinates ( r , θ ) (Angle unit: Rad) fx-82MS/fx-85MS/fx-300MS/fx-350MS: r =2 1 3 2. θ = 1.047197551 (F) • Press value of θ . (E) to display the value of r , or 1.047197551 (F) to display the fx-220 PLUS: r =2 1 (,) 3 2. θ = 1.047197551 (y, θ) (x, r) to display the value of r , or • Press to display the value of θ . 1.047197551 (y, θ) Factorial (!) This function obtains the factorials of a value that is zero or a positive integer.
92. 175. Random Integer (RanInt#) (fx-220 PLUS only) For input of the function of the form RanInt#( a , b ), which generates a random integer within the range of a to b . Example: To generate a random integer in the range of 1 to 6. Note that the values shown here are examples only. Values actually generated by your calculator will be different. (RanInt) 1 (,) 6 2. 4. 1. Permutation ( n P r ) and Combination (nC r ) These functions make it possible to perform permutation and combination calculations.
Rounding function (Rnd) Using the Rnd function causes decimal fraction values of the argument to be rounded in accordance with the current number of display digits setting (Norm, Fix, Sci). With Norm 1 or Norm 2, the argument is rounded off to 10 digits. 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 ･････ (Fix) 10 10 3 3 3 10.000 (Rnd) 3 9.
Using Calculation Modes Statistical Calculations (SD, REG*) * fx-82MS/fx-85MS/fx-300MS/ fx-350MS only Standard Deviation (SD) Use the key to enter the SD Mode when you want to perform statistical calculations using standard deviation. (SD) • In the SD Mode and REG Mode, the key operates as the key. • fx-82MS/fx-85MS/fx-300MS/fx-350MS: Always start data input with (CLR) (Scl) to clear statistical memory. fx-220 PLUS: Always start data input with (Scl) to clear statistical memory.
Example: To calculate s x , σ x , x-, n , Σ x , and Σ x 2 for the following data : 55, 54, 51, 55, 53, 53, 54, 52 fx-82MS/fx-85MS/fx-300MS/fx-350MS: In the SD Mode: (CLR) (Scl) (Stat clear) 55 Each time you press to register your input, the number of data input up to that point is indicated on the display ( n value). 54 51 55 53 54 52 Sample Standard Deviation (s x ) = 1.407885953 (S-VAR) (s x ) 1.407885953 Population Standard Deviation ( σ x ) = 1.316956719 (S-VAR) (σ x) 1.
Population Standard Deviation ( σ x ) = 1.316956719 (σ x) 1.316956719 ( x-) 53.375 (n) 8. (Σ x ) 427. (Σ x 2) 22805. Arithmetic Mean ( x-) = 53.375 Number of Data ( n ) = 8 Sum of Values (Σ x ) = 427 Sum of Squares of Values (Σ x 2) = 22805 Data Input Precautions • inputs the same data twice. • fx-82MS/fx-85MS/fx-300MS/fx-350MS: You can also input multiple (;). To input the data 110 ten entries of the same data using times, for example, press 110 (;) 10 .
• You can delete a data value displayed using and by pressing (CL). Deleting a data value causes all values following it to be shifted up. • Data values you register are normally stored in calculator memory. The message "Data Full" appears and you will not be able to input any more data if there is no memory left for data storage. If this happens, press the key to display the screen shown below. Press to exit data input without registering the value you just input.
(Pwr) : Power regression (Inv) : Inverse regression (Quad) : Quadratic regression • Always start data input with (CLR) (Scl) to clear statistical memory. • Input data using the key sequence shown below. < y -data> < x -data> • The values produced by a regression calculation depend on the values input, and results can be recalled using the key operations shown in the table below.
To recall this type of value: Perform this key operation: (S-VAR) yˆ ( yˆ) • The following table shows the key operations you should use to recall results in the case of quadratic regression.
Next, use the regression formula to estimate atmospheric pressure at -5°C and temperature at 1000 hPa. Finally, calculate the coefficient of ∑xy - n ∙ x-∙ y). determination (r2) and sample covariance ( n -1 In the REG Mode: (Lin) (CLR) (Scl) (Stat clear) 10 1003 Each time you press to register your input, the number of data input up to that point is indicated on the display ( n value). 15 1005 20 1010 25 1011 30 1014 Regression Coefficient A = 997.4 (S-VAR) (A) 997.4 (B) 0.56 (r) 0.
Logarithmic, Exponential, Power, and Inverse Regression • Use the same key operations as linear regression to recall results for these types of regression. • The following shows the regression formulas for each type of regression.
Regression Coefficient B = 1.495939413 (S-VAR) (B) 1.495939413 Regression Coefficient C = -6.71629667 × 10-3 (S-VAR) (C) -6.71629667×10-3 ( yˆ) -13.38291067 ( xˆ1) 47.14556728 ( xˆ2) 175.5872105 yˆ when xi is 16 = -13.38291067 16 (S-VAR) xˆ1 when yi is 20 = 47.14556728 20 (S-VAR) xˆ2 when yi is 20 = 175.5872105 20 (S-VAR) Data Input Precautions • inputs the same data twice. • You can also input multiple entries of the same data using (;).
Technical Information Errors The calculator will display an error message whenever an error occurs for any reason during a calculation. • Press or to return to the 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. • Press to return to the calculation screen. Note that this also clears the calculation that contained the error.
• Improper use of an argument. Action: • Make necessary corrections. 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. 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.
3. Remove the battery, and then load a new battery with its plus (+) and minus (-) ends facing correctly. 4. Replace the cover. 5. Initialize the calculator. (CLR) (All) fx-82MS/fx-85MS/fx-300MS/fx-350MS: fx-220 PLUS: (All) • Do not skip the above step! Calculation Priority Sequence The calculator performs calculations according to a calculation priority sequence. When the priority of two expressions is the same, the calculation is performed from left to right.
5 6 Implied multiplication of π , e (natural logarithm base), memory name, or variable name: 2 π , 3 e , 5A, π A, etc. Type B functions: With these functions, the function key is pressed and then the value is entered. (√ , 3√ , log, ln, e x , 10 x , sin, cos, tan, sin-1, cos-1, tan-1, sinh, cosh, tanh, sinh-1, cosh-1, tanh-1, (-)) 7 Implied multiplication of Type B functions: 2√3, Alog2, etc.
Command Stack • Calculations are performed in sequence according to "Calculation Priority Sequence." Commands and values are deleted from the stack as the calculation is performed. 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. Calculation Range and Precision Calculation Range ±1 × 10-99 to ±9.
Function Calculation Input Ranges and Precision Functions sin x cos x Input Range Deg 0 ≦ | x | < 9 × 109 Rad 0 ≦ | x | < 157079632.7 Gra 0 ≦ | x | < 1 × 1010 Deg tan x Rad Gra Same as sin x , except when | x | = (2 n -1) × 90. Same as sin x , except when | x | = (2 n -1) × π /2. Same as sin x , except when | x | = (2 n -1) × 100. sin-1 x , cos-1 x 0 ≦ |x| ≦ 1 tan-1 x 0 ≦ | x | ≦ 9.999999999 × 1099 sinh x , cosh x 0 ≦ | x | ≦ 230.2585092 sinh-1 x 0 ≦ | x | ≦ 4.
Functions Input Range x! 0 ≦ x ≦ 69 ( x is an integer) nP r nC r Pol( x , y ) Rec( r , θ ) 0 ≦ n < 1 × 1010, 0 ≦ r ≦ n ( n , r are integers) 1 ≦ { n !/( n - r )!} < 1 × 10100 0 ≦ n < 1 × 1010, 0 ≦ r ≦ n ( n , r are integers) 1 ≦ n !/ r ! < 1 × 10100 or 1 ≦ n !/( n - r )! < 1 × 10100 | x |, | y | ≦ 9.999999999 × 1099 √ x 2 + y 2 ≦ 9.999999999 × 1099 0 ≦ r ≦ 9.
• Calculations that use any of the functions or settings shown below require consecutive internal calculations to be performed, which can cause accumulation of error that occurs with each calculation. x y , x √ y , 3√ , x !, n P r , n C r ; °, r, g (Angle unit: Rad); σ x , s x , regression coefficient. • Error is cumulative and tends to be large in the vicinity of a function's singular point and inflection point.
Dimensions: 11.1 (H) × 77 (W) × 161.5 (D) mm ⅜” (H) × 3” (W) × 63⁄8” (D) Approximate Weight: 95 g (3.4 oz) including the battery fx-350MS Power Requirements: Button battery LR44 × 1 Approximate Battery Life: Three years (based on one hour of operation per day) Power Consumption: 0.0001 W Operating Temperature: 0°C to 40°C (32°F to 104°F) Dimensions: 11.1 (H) × 77 (W) × 161.5 (D) mm ⅜” (H) × 3” (W) × 63⁄8” (D) Approximate Weight: 95 g (3.
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