Casio FX-82SX manual

• •••••••••••••••••• • •••••••••••••••••• • •••••••••••••••••• • •••••••••••••••••• • •••••••••••••••••• NQPOR fx-82SX/ fx-250HC • •••••••••[...]

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

— 1 — Contents Handling Precautions … 2 Modes … 3 Basic Calculations … 5 Constant Calculations … 6 Memory Calculations … 7 Fraction Calculations … 8 Percentage Calculations … 10 Scientific Function Calculations … 11 Statistical Calculations (SD Mode) … 16 T echnical Inf or mation … 18 ENGLISH 1 ESPAÑOL 33 FRANÇAIS 66 DEUTS[...]

— 2 — Handling Precautions •Y our calculator is made up of precision components. Ne v er try to take it apart. •A v oid dropping your calculator and otherwise subjecting it to strong impact. • Do not store the calculator or leave it in areas exposed to high temperature or humidity , or large amounts of dust. When exposed to low temperatur[...]

— 3 — • Before assuming malfunction of the unit, be sure to care- fully reread this manual and ensure that the problem is not due to lo w batter y po wer or operational error . • The contents of this manual are subject to change without notice. • No part of this manual may be reproduced in any form without the e xpress written consent of [...]

— 4 — Note! •A mode guide is located abo ve the display screen. • DEG, RAD, and GRA modes can be used in combination with the COMP and SD modes. • F9 does not exit SD mode. • F0 exits SD mode. • F0 does not clear SCI or FIX specifications. • Always press t before entering DEG, RAD, and GRA modes. • Remember to always set the opera[...]

— 5 — Basic Calculations • Use the COMP mode for basic calculations. • Example 1: 23  4.5  53 23 + 4.5 , 53 = • Example 2: 56  (  12)  (  2.5) 56 - 12 E 2.5 E = • Example 3: 2  3  (1  10 20 ) 2 3 - 1 e 20 = • Example 4: 7  8  4  5=36 7 - 8 , 4 - 5 = • Example 5: =0.3 4 - 5 6 A N = • Exampl[...]

— 6 — Constant Calculations • Press + , , , - ,or twice after inputting a number to make that number a constant. • “K” is on the display while a constant is being used. • Use the COMP mode for constant calculations. • Example 1: 2.3  3, then 2.3  6 (2.3  3) 2.3 + + 3 = (2.3  6) 6 = • Example 2: 12  2.3, then 12 ?[...]

— 7 — Memor y Calculations • Use the COMP mode for memory calculations. • Use Y , | , A { and Z for memory calculations. Y replaces current memory contents. • “M” appears when there is a v alue in memory . •T o clear memory , press 0 Y or t Y . • Example 1: (53  6)  (23  8)  (56  2)  (99  4)  210.75 (53 [...]

— 8 — • Example 3: To calculate the f ollo wing using memor y and a constant: (12  3)  (45  3)  (78  3)  135. (12  3) 3 - - 12 = Y (45  3) 45 A { (78  3) 78 | (Memory recall) Z Fraction Calculations • Use COMP mode for fraction calculations. •T otal n umber of digits (including division marks) cannot exceed 10. [...]

— 9 — • Example 4:  1.6  2.1 1 C 2 + 1.6 = Fraction/decimal calculation result is always decimal. • Example 5: ↔ 0.5 (Fraction ↔ Decimal) 1 C 2 = C C • Example 6: 1 ↔ 1 C 2 C 3 A B A B 2.1 1 2 1 2. 1 2. 0.5 1 2 1 2 3. 5 3. 2 3 5 3 1 2 3.[...]

— 10 — Percentage Calculations • Use COMP mode for percentage calculations. • Example 1: To calculate 12% of 1500. 1500 - 12 A v • Example 2: To calculate what percentage of 880 is 660. 660 880 A v • Example 3: To add 15% onto 2500. 2500 - 15 A v + • Example 4: To discount 3500 by 25%. 3500 - 25 A v , • Example 5: To calculate the[...]

— 11 — Scientific Function Calculations • Use COMP mode for scientific function calculations. • Some calculations may take a long time to complete. •W ait f or result bef ore star ting next calculation. •  =3.1415926536. k Sexagesimal ↔ Decimal Conversion • Example: 14°25’36” ↔ 14.42667 14 I 25 I 36 I A O k T rigonometric/[...]

— 12 — Iog 64 Iog 4 .4 A Q + 5 - 3 E A U = 4.094622224 18.28545536 0.089905111 4.49980967 2.760821773 8. 0.125 22026.46579 3. k Hyperbolic/In verse Hyperbolic Functions • Example 1: sinh 3.6 3.6 M S • Example 2: sinh  1 30 30 M A j k Common and Natural Logarithms, Exponents • Example 1: log 1.23 1.23 R • Example 2: In 90 (  log e [...]

— 13 — • Example 8: log sin 40° +log cos 35° (DEG mode) 40 S R + 35 W R = A Q • Example 9: 8 1/3 8 A s 3 = k Square Roots, Cube Roots, Squares, Reciprocals and Factorials • Example 1: 2  3  5 2 L + 3 L - 5 L = • Example 2: 3 5  3  27 5 A D + 27 E A D = • Example 3: 123  30 2 123 + 30 A K = • Example 4: 3 A X , 4 A X[...]

— 14 — 0.00 FIX 2.47 FIX 40320. 3.3 –01 SCI 0.0 00 SCI • Example 5: 8! 8 A f k FIX, SCI, NORM, RND, RAN#, ENG Calculations • Example 1: 1.234  1.234, rounding result to two places (FIX 2). F 7 2 1.234 + 1.234 = • Example 2: 1.234  1.234, rounding input to two places. F 7 2 1.234 A b + 1.234 A b = • Press F9 to clear FIX specific[...]

— 15 — 81.25 –03 0.664 1. DEG 2. 1.732050808 DEG 1.047197551 RAD 840. Example (results diff er each time) RAD • Example 5: To conv er t 0.08125 g r ams to milligrams. .08125 J • Example 6: To generate a random n umber betw een 0.000 and 0.999. A c k Coordinate Conversion • Example 1: To conver t polar coordinates ( r  2,   60°[...]

— 16 — 210. k Combination • Example: To determine how many diff erent 4-member groups can be organized in a group of 10 individuals. 10 A n 4 = Statisticasl Calculations (SD Mode) • Press Fl to enter the SD Mode for statistical calcula- tions using standard deviation. • If FIX or SCI is on the displa y , press F9 first. • Data input alw[...]

— 17 — Arithmetic mean A ` Number of data A r Sum of values A o Sum of squares of values A a • }} inputs the same data twice (as above). •Y ou can also input m ultiple entr ies of the same data using - . To input the data 110 ten times , f or example, press 110 - 10 } . • The abov e results can be obtained in any order, and not necessaril[...]

— 18 — • Example 2: To change data you previously input. Correction Actual Correction 51 } 50 }A [ 51 } 130 - 31 } 130 - 31 } 120 - 120 - 31 t 130 - 31 } t 130 - 31 } 51 } 130 - 31 } 49 } 120 - 30 } 49 A [ 51 } 120 - 30 A [ 130 - 31 } Correct Actual Correct k Making Corrections During Data Input • Example 1: To change data you hav e just in[...]

— 19 — Clear (retains memory) ......................... k Number input ........................................ 0 – 9 , l Po w er off ............................................... i Po w er on; All clear ................................ t Sign change .......................................... E • Memor y Memory in ........................[...]

— 20 — • Scientific Functions Arc cosine ............................................. A V Arc sine ................................................. A j Arc tangent ............................................ A g Common antilogarithm .......................... A Q Common logarithm ................................ R Cosine ..................[...]

— 21 — Square .................................................. A K Square root ........................................... L T angent ................................................. h Permutation ........................................... A m Combination .......................................... A n • Statistics (SD Mode) Arithmetic mea[...]

— 22 — • NORM 1 With NORM 1, exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than two decimal places. • NORM 2 With NORM 2, exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than nine decimal places. To switc[...]

— 23 — k Making Corrections During Calculations • If you make a mistake when inputting a value (but did not yet press an arithmetic operator key), press k to clear the value and then input the correct one. • In a series of calculations, press k while an intermediate result is displayed to clear only the last calculation per- formed. •T o [...]

— 24 — e. The total number of nested parentheses levels exceeds six, or when more than 18 pairs of parentheses are used. (“– 1 –” indicator appears on the displa y .) •T o clear any of the abov e conditions, press t and per- form the calculation from the beginning. • In the case of condition e, you could also press k . This clears t[...]

— 25 — • The batteries that come in the calculator when you pur- chase it are f or testing only . They may not pro vide full service life. • All data stored in memory is lost when you replace the batteries. Be sure to write down important data before re- placing the batteries. • Always be sure to load the batteries so their positive ( [...]

— 26 — k Or der of Operations and Levels Operations are performed in the following order of prec- edence. 1. Functions 2. x y , x 1/y , R → P, P → R, n P r , n C r 3.  ,  4.  ,  • Operations with the same precedence are performed from left to right, with operations enclosed in parentheses per- formed first. If parentheses are [...]

— 27 — k Formulas, Rang es, and Con ventions The following are the formulas, ranges, and conventions that are applied to various calculations that can be performed using this calculator . Coordinate T ransformation • With polar coordinates, θ can be calculated within a range of –180°  θ  180°. The calculation range is the same for[...]

— 28 — Permutation • Input range: n  r  0 ( n , r : natural numbers) • Formula: n P r  Combination • Input range: n  r  0 ( n , r : natural numbers) • Formula: n C r  P opulation Standar d De viation Sample Standard Deviation Arithmetic Mean n ! ( n  r )! n ! n !( n  r )![...]

— 29 — Input Range Functions tan –1 x sinh x cosh x tanh x sinh –1 x cosh –1 x tanh –1 x log x /ln x 10 x sin x cos x tan x sin –1 x cos –1 x  x  1  10 100  x  230.2585092  x  1  10 100  x  1 For sinh and tanh,errors are cumulative and accuracy is af- fected at a certain point when x =0. [...]

— 30 — –1  10 100  x  230.2585092 0  x  1  10 100  x  1  10 50  x  1  10 100 ; x ≠ 0  x  1  10 100 0  x  69 ( x is an integer) 0  r  n n  1  10 10 ( n and r are integers) x 2  y 2  1  10 100 Input Range Functions e x x x 2 1/ x 3 x x ! n P r / n C r R → P P ?[...]

— 31 — x  0: y ≠ 0 –1  10 100  1/ y log x  100 x  0: y  0 x  0: y  2 n  1; ( n ≠ 0; n is an integer) However: –1  10 100  1/ y log  x  100 Input Rang e Functions x 1/ y a b / c SD 1 n T otal of integer , numer ator , and denominator must be 10 digits or less (including division marks).  x [...]

— 32 — Calculation Capacity: • Input/ Basic Calculations 10-digit mantissa; or 10-digit mantissa plus 2-digit expo- nent up to 10 ±99[...]

SA9707-B Printed in China Imprimé en Chine CASIO COMPUTER CO ., L TD . 6-2, Hon-machi 1-chome, Shibuya-ku, Tokyo 151-8543, Japan[...]