Casio FX-820MS manual

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

CASIO ELECTRONICS CO., LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U.K.[...]

E-1[...]

E-2 Safety Precautions Be sure to read the follo wing safety precautions before using this calculator. Keep this man ual handy f or later reference. Caution This symbol is used to indicate information that can result in personal injury or material damage if ignored. Batteries •A fter remo ving the batter y from the calculator, put it in a safe pl[...]

E-3 • The displa ys and illustr ations (such as ke y markings) shown in this User’ s Guide are f or illustr ativ e pur poses only , and ma y differ somewhat from the actual items they represent. • The contents of this manual are subject to change with- out notice. •I n no event shall CASIO Computer Co., Ltd. be liable to anyone for special,[...]

E-4 Ta ke care ne ver to lea ve the calculator where it might be splashed b y w ater or e xposed to large amounts of hu- midity or dust. Such conditions can damage internal cir- cuitr y . • Never drop the calculator or otherwise subject it to strong impact. •N e ver twist or bend the calculator. Avo i d carrying the calculator in the pocket of [...]

E-5 Contents Safety Precautions .................................. 2 Handling Precautions ............................. 3 Tw o-line Display ...................................... 7 Before getting started... .......................... 7 k Modes .................................................................... 7 k Input Capacity ..................[...]

E-6 k Angle Unit Conversion ......................................... 20 k Coordinate Conversion (P ol ( x , y ), Rec ( r , θ )) ..... 21 k Engineering Notation Calculations ....................... 21 Statistical Calculations ......................... 22 Standard Deviation .................................................. 22 Regression Calculatio[...]

E-7 The two-line displa y 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. Before getting star ted... k M[...]

E-8 Note! •T o retur n the calculation mode and setup to the initial def aults shown below, press A B 2 (Mode) = . Calculation Mode: COMP Angle Unit: Deg Exponential Display Format: Norm 1 Fraction Display Format: a b / c Decimal Point Character: Dot • Mode indicators appear in the upper par t of the displa y . •B e sure to check the current [...]

E-9 k Replay Function • Every time you perform a calculation, the replay function stores the calculation formula and its result in replay memory . Pressing the [ ke y d isplays the f or m ula and result of the calculation you last performed. Pressing [ again back steps sequentially (new-to-old) through past calculations. •P r e ssing the e or r[...]

E-10 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. •T o change the exponential display f or mat, press the F key a number of[...]

E-11 COMP •P ress the number key ( 1 or 2 ) that corresponds to the setting you want to use. 1 (Dot): Period decimal point, comma separator 2 (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[...]

E-12 1 5 2 3 13 15. 00 13 15 • Example 1:   2 C 3 + 1 C 5 = 1 2 • Example 4:  1.6  2.1 1 C 2 + 1.6 = 4 11 12. 00 • Example 2: 3  1  4 3 C 1 C 4 + 1 C 2 C 3 = 2 3 1 4 11 12 • Example 3:  2 C 4 = 2 4 1 2 • Results of calculations that mix fraction and decimal val- ues are always decimal. u Decimal ↔ Fraction Conversio[...]

E-13 u Mix ed Fraction ↔ Impr oper Fraction Conversion • Example: 1 ↔ 1 C 2 C 3 = A B A B 5 3. 00 1 2 3. 00 5 3 2 3 1 2 3. 00 •Y ou can use the displa y setup (Disp) screen to specify the display format when a fraction calculation result is greater than one. •T o change the fraction displa y f or mat, press the q ke y a number of times un[...]

E-14 • Example 4 : To discount 3500 by 25% (2625) 3500 - 25 A v , • Example 5 : To discount the sum of 168, 98, and 734 by 20% (800) 168 + 98 + 734 = g A j q p q - 20 A v , *A s shown here, if y ou w ant to use the current Ans wer Memory value in a mark up or discount calculation, you need to assign the Ans wer Memor y value into a var iab le a[...]

E-15 • Example 2: To perfor m the f ollo wing calculation: 12 ° 34’56”  3.45 12 I 34 I 56 I - 3.45 = 43 ° 24 ° 31.2 k FIX, SCI, RND •T o change the settings f or the number of decimal places , the number of significant digits, or the exponential dis- play format, press the F key a number of times until you reach the setup screen sho w[...]

E-16 COMP • Example 2: 1  3, displaying result with two significant digits (Sci 2) F ..... 2 (Sci) 2 1 3 = 3.3 –01 SCI •P r e ss F ..... 3 (Norm) 1 to clear the Sci specifica- tion. Memor y Calculations Use the F key to enter the COMP Mode when you w ant to perform a calculation using memor y . COMP ......................................[...]

E-17 k Independent Memory •V alues can be input directly into memory , added to memor y , or subtracted from memory . Independent memory is convenient for calculating cumulative totals. •I ndependent memory uses the same memory area as variable M. •T o clear independent memory (M), input 0 A j 3 . • Example: 23  9  32 23 + 9 A j 3 53 [...]

E-18 COMP Scientific Function Calculations Use the F key to enter the COMP Mode when you want to perform basic arithmetic calculations. COMP ............................................................. F 1 • Certain types of calculations may take a long time to complete. •W ait f or the result to appear on the displa y before star t- ing the n[...]

E-19 • Example 4: tan  1 0.741  36.53844577 ° q ..... 1 (Deg) A g 0.741 = k Hyperbolic/Inverse Hyperbolic Functions • Example 1: sinh 3.6  18.28545536 M S 3.6 = • Example 2: sinh  1 30  4.094622224 M A j 30 = k Common and Natural Logarithms/ Antilogarithms • Example 1: log 1.23  0.089905111 R 1.23 = • Example 2: In 90 ([...]

E-20 • Example 2: 3 5  3  27  –1.290024053 A D 5 + A D R D 27 T = • Example 6:  12 R 3 a , 4 a T a = 1  1 3 4 1 • Example 4: 123  30 2  1023 123 + 30 K = • Example 5: 12 3  1728 12 N = 1 7 • Example 3: 7 123 ( = 123 )  1.988647795 7 A H 123 = • Example 7: 8!  40320 8 A f = 0.664 00 • Example 8: To gener[...]

E-21 • Example: To c o n v e r t 4.25 radians to degrees q ..... 1 (Deg) 4.25 A v 2 ( R ) = k Coordinate Conversion (Pol ( x , y ), Rec ( r , θ )) • Calculation results are automatically assigned to vari- ables E and F . • Example 1: To c o n v er t polar coordinates ( r  2,   60 ° ) to rectangular coordinates ( x , y ) (Deg) x [...]

E-22 SD REG SD Statistical Calculations Standard Deviation Use the F key to enter the SD Mode when you want to perform statistical calculations using standard de- viation. SD ................................................................... F 2 •A lways start data input with A B 1 (Scl) = to clear statistical memor y . •I nput data using the [...]

E-23 • S S inputs the same data twice. •Y ou can also input multiple entries of the same data using A G . To input the data 110 ten times, for e xample , press 110 A G 10 S . •Y ou can perf or m the abov e ke y oper ations in an y order, and not necessarily that shown above. •W hile inputting data or after inputting data is complete, you ca[...]

E-24 Press 2 to exit data input without registering the value you just input. Press 1 if you want to register the value you just input, without saving it in memor y . If you do this, ho we ver, y ou will not be able to display or edit any of the data you have input. •T o delete data you hav e just input, press A U . •A fter inputting statistica[...]

E-25 •A lways start data input with A B 1 (Scl) = to clear statistical memor y . •I nput data using the k e y sequence sho wn below. < x -data> P < y -data> S •T he values produced by a regression calculation depend on the values input, and results can be recalled using the k e y operations shown in the table below . To recall thi[...]

E-26 • The values in the above tables can be used inside of expressions the same way you use variables. u Linear Regression • The regression formula for linear regression is: y = A + B x . • Example: Atmospheric Pressure vs. T emper ature Perform linear regression to de- termine the regression formula terms and correlation coefficient fo r th[...]

E-27 Coefficient of Deter mination = 0.965517241 A X r r 3 K = Sample Covariance = 35 E A U r 3 , A U 3 - A X 1 - A X r 1 F E A U 3 , 1 F = u Logarithmic, Exponential, P o wer, and In verse Regression •U se the same key operations as linear regression to re- call results for these types of regression. • The following shows the regression form[...]

E-28 Regression Coefficient C = – 6.71629667  10 –3 A X r r 3 = n when x i is 16 = –13.38291067 16 A X r r r 3 = m 1 when y i is 20 = 47.14556728 20 A X r r r 1 = m 2 when y i is 20 = 175.5872105 20 A X r r r 2 = Data Input Precautions • S S inputs the same data twice. •Y ou can also input multiple entries of the same data using A G . [...]

E-29 Math ERROR •C auses • 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.) • Action • Check your input values and make sure they are all within the al[...]

E-30 k Order of Operations Calculations are performed in the following order of prec- edence. 1 Coordinate transf or mation: Pol ( x , y ), Rec ( r , θ ) 2 Ty pe A functions: With these functions, the value is entered and then the function key is pressed. x 3 , x 2 , x  1 , x !, ° ’ ” m , m 1 , m 2 , n Angle unit conversions (DRG ' ) [...]

E-31 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 numer ic stac k has 10 le v els and the command stack has 24 le vels. A stac k error (Stac k ERROR) occurs whenever you try to perform a calculati[...]

E-32 k Input Ranges Internal digits: 12 Accuracy * : As a rule, accuracy is ± 1 at the 10th digit. Functions Input Range sin x DEG 0   x   4.499999999  10 10 RAD 0   x   785398163.3 GRA 0   x   4.999999999  10 10 cos x DEG 0   x   4.500000008  10 10 RAD 0   x   785398164.9 GRA 0 [...]

E-33 Functions Input Range n C r 0  n  1  10 10 , 0  r  n ( n , r are integers) 1  [ n !/{ r !( n – r )!}]  1  10 100 Pol( x , y )  x  ,  y   9.999999999  10 49 ( x 2 + y 2 )  9.999999999  10 99 Rec( r ,  ) 0  r  9.999999999  10 99 θ : Same as sin x  a  , b , c  1  10 100 °[...]

E-34 Power Supply The TW O WA Y PO WER system actually has two power supplies: a solar cell and a G13 T ype (LR44) button battery . Nor mally , calculators equipped with a solar cell alone can operate only when relatively bright light is present. The TWO WA Y PO WER system, howev er, lets y ou continue to use the calculator as long as there is enou[...]

E-35 Auto Power Off Calculator pow er automatically tur ns off if you do not perform any operation for about six minutes. When this happens, press 5 to turn power back on. Specifications Power Supply: Solar cell and a single G13 T ype button battery (LR44) Battery Life: Approximately 3 years (1 hour use per day) Dimensions: 12.0 (H)  89.0 (W) ?[...]

SA0205-A Printed in China CASIO COMPUTER CO. , L TD . 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan[...]