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Casio FX-820MS User Manual

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fx-820MS
User's Guide
http://world.casio.com/edu_e/

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  • Page 1 User's Guide http://world.casio.com/edu_e/...
  • Page 2 CASIO ELECTRONICS CO., LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U.K.
  • Page 4: Safety Precautions

    Safety Precautions Be sure to read the following safety precautions before using this calculator. Keep this manual handy for later reference. Caution This symbol is used to indicate information that can result in personal injury or material damage if ignored. Batteries •...
  • Page 5: Handling Precautions

    • The contents of this manual are subject to change with- out notice. • 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 these materials.
  • Page 6 Take care never to leave the calculator where it might be splashed by water or exposed to large amounts of hu- midity or dust. Such conditions can damage internal cir- cuitry. • Never drop the calculator or otherwise subject it to strong impact.
  • Page 7: Table Of Contents

    Contents Safety Precautions ... 2 Handling Precautions ... 3 Two-line Display ... 7 Before getting started..7 kModes ... 7 kInput Capacity ... 8 kMaking Corrections During Input ... 8 kReplay Function ... 9 kError Locator ... 9 kMulti-statements ... 9 kExponential Display Formats ...
  • Page 8 kAngle Unit Conversion ... 20 kCoordinate Conversion (Pol (x, y), Rec (r, θ )) ... 21 kEngineering Notation Calculations ... 21 Statistical Calculations ... 22 Standard Deviation ... 22 Regression Calculations ... 24 Technical Information ... 28 kWhen you have a problem..28 kError Messages ...
  • Page 9: Two-Line Display

    Two-line Display The two-line display makes it possible to view both the calculation formula and its result at the same time. • The upper line shows the calculation formula. • The lower line shows the result. A separator symbol is displayed every three digits when the integer part of the mantissa has more than three dig- its.
  • Page 10: Kinput Capacity

    Note! • To return the calculation mode and setup to the initial defaults shown below, press Calculation Mode: Angle Unit: Exponential Display Format: Norm 1 Fraction Display Format: Decimal Point Character: • Mode indicators appear in the upper part of the display. •...
  • Page 11: Kreplay Function

    k Replay Function • Every time you perform a calculation, the replay function stores the calculation formula and its result in replay memory. Pressing the result of the calculation you last performed. Pressing again back steps sequentially (new-to-old) through past calculations.
  • Page 12: Kexponential Display Formats

    k Exponential Display Formats This calculator can display up to 10 digits. Larger values are automatically displayed using exponential notation. In the case of decimal values, you can select between two formats that determine at what point exponential notation is used. •...
  • Page 13: Initializing The Calculator

    • Press the number key ( the setting you want to use. (Dot): Period decimal point, comma separator (Comma): Comma decimal point, period separator k Initializing the Calculator • Perform the following key operation when you want to initialize the calculation mode and setup, and clear re- play memory and variables.
  • Page 14 • Example 1: • Example 2: 3 • Example 3: • Example 4: • Results of calculations that mix fraction and decimal val- ues are always decimal. uDecimal ↔ Fraction Conversion • Use the operation shown below to convert calculation results between decimal values and fraction values.
  • Page 15: Kpercentage Calculations

    uMixed Fraction ↔ Improper Fraction Conversion • Example: 1 • 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 a number of times until you reach the setup screen shown below.
  • Page 16: Kdegrees, Minutes, Seconds Calculations

    • Example 4 : To discount 3500 by 25% (2625) • Example 5 : To discount the sum of 168, 98, and 734 by * 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.
  • Page 17: Kfix, Sci, Rnd

    • Example 2: To perform the following calculation: 12°34’56” 3.45 k FIX, SCI, RND • To change the settings for the number of decimal places, the number of significant digits, or the exponential dis- play format, press the you reach the setup screen shown below. •...
  • Page 18: Memory Calculations

    • Example 2: 1 Ö 3, displaying result with two significant digits (Sci 2) F ... 2 F ... 3 • Press tion. Memory Calculations Use the key to enter the COMP Mode when you want to perform a calculation using memory. COMP ...
  • Page 19: Kindependent Memory

    k Independent Memory • Values can be input directly into memory, added to memor y, or subtracted from memory. Independent memory is convenient for calculating cumulative totals. • Independent memory uses the same memory area as variable M. • To clear independent memory (M), input •...
  • Page 20: Scientific Function Calculations

    Scientific Function Calculations Use the F key to enter the COMP Mode when you want to perform basic arithmetic calculations. COMP ... • Certain types of calculations may take a long time to complete. • Wait for the result to appear on the display before start- ing the next calculation.
  • Page 21: Khyperbolic/Inverse Hyperbolic Functions

    • Example 3 : cos A V R L • Example 4: tan k Hyperbolic/Inverse Hyperbolic Functions • Example 1: sinh 3.6 • Example 2: sinh k Common and Natural Logarithms/ Antilogarithms • Example 1: log 1.23 • Example 2: In 90 (= log ln e •...
  • Page 22: Kangle Unit Conversion

    • Example 2: • Example 3: 123 ( = 123 ) • Example 4: 123 • Example 5: 12 • Example 6: • Example 7: 8! • Example 8: To generate a random number between 0.000 and 0.999 (The above value is a sample only. Results differ each time.) •...
  • Page 23: Kcoordinate Conversion (Pol (X, Y), Rec (R, Θ ))

    • Example: To convert 4.25 radians to degrees q ... 1 4.25 k Coordinate Conversion (Pol ( θ Rec ( • Calculation results are automatically assigned to vari- ables E and F. • Example 1: To convert polar coordinates (r 2, to rectangular coordinates (x, y) (Deg) 1.732050808 •...
  • Page 24: Statistical Calculations

    Statistical Calculations Standard Deviation Use the key to enter the SD Mode when you want to perform statistical calculations using standard de- viation. SD ... • Always start data input with statistical memory. • Input data using the key sequence shown below. <...
  • Page 25 Arithmetic Mean ( ) = 53.375 Number of Data ( ) = 8 Σx ) = 427 Sum of Values ( Sum of Squares of Values ( Data Input Precautions • inputs the same data twice. • You can also input multiple entries of the same data using .
  • Page 26: Regression Calculations

    Press to exit data input without registering the value you just input. Press if you want to register the value you just input, without saving it in memory. If you do this, however, you will not be able to display or edit any of the data you have input.
  • Page 27 • Always start data input with statistical memory. • Input data using the key sequence shown below. < -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: Σx Σx...
  • Page 28 • The values in the above tables can be used inside of expressions the same way you use variables. uLinear Regression • The regression formula for linear regression is: = A + B • Example: Atmospheric Pressure vs. Temperature Atmospheric Temperature Pressure 10°C...
  • Page 29 Coefficient of Determination = 0.965517241 Sample Covariance = 35 uLogarithmic, Exponential, Power, and Inverse Regression • Use the same key operations as linear regression to re- call results for these types of regression. • The following shows the regression formulas for each type of regression.
  • Page 30: Technical Information

    Regression Coefficient C = – 6.71629667 i 10 when i is 16 = –13.38291067 when i is 20 = 47.14556728 when i is 20 = 175.5872105 Data Input Precautions • inputs the same data twice. • You can also input multiple entries of the same data using .
  • Page 31 Math ERROR • Causes • Calculation result is outside the allowable calculation range. • An attempt to perform a function calculation using a value that exceeds the allowable input range. • An attempt to perform an illogical operation (division by zero, etc.) •...
  • Page 32: Korder Of Operations

    k Order of Operations Calculations are performed in the following order of prec- edence. 1 Coordinate transformation: Pol ( 2 Type A functions: With these functions, the value is entered and then the function key is pressed. !, ° ’ ” Angle unit conversions (DRG 3 Powers and roots: 5 Abbreviated multiplication format in front of...
  • Page 33: Kstacks

    k Stacks This calculator uses memory areas, called “stacks,” to tem- porarily store values (numeric stack) and commands (com- mand stack) according to their precedence during calcu- lations. The numeric stack has 10 levels and the command stack has 24 levels. A stack error (Stack ERROR) occurs whenever you try to perform a calculation that is so com- plex that the capacity of a stack is exceeded.
  • Page 34: Kinput Ranges

    k Input Ranges Internal digits: 12 Accuracy*: As a rule, accuracy is ±1 at the 10th digit. Functions DEG 0 RAD 0 GRA 0 DEG 0 RAD 0 GRA 0 DEG Same as sin RAD Same as sin GRA Same as sin –1 –1 –1...
  • Page 35 Functions  1 10 Pol(x, y) Rec( θ: Same as sin °’ ” 1 10 Decimal ↔ Sexagesimal Conversions 0°0°0° Œ0: –1 10 0: However: –1 10 Œ0: –1 10 0: However: –1 10 Total of integer, numerator, and denominator must be 10 digits or less (including division marks).
  • Page 36: Power Supply

    In the vicinity of a function’s singular point and point of inflection, errors are cumulative and may become large. Power Supply The TWO WAY POWER system actually has two power supplies: a solar cell and a G13 Type (LR44) button battery. Normally, calculators equipped with a solar cell alone can operate only when relatively bright light is present.
  • Page 37: Specifications

    Auto Power Off Calculator power automatically turns off if you do not perform any operation for about six minutes. When this happens, press Specifications Power Supply: Solar cell and a single G13 Type button Battery Life: Dimensions: Weight: Power Consumption: 0.0002 W Operating Temperature: 0°C to 40°C (32°F to 104°F) to turn power back on.
  • Page 38 CASIO COMPUTER CO., LTD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan SA0205-A Printed in China...