User manual CASIO FX-82SX

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Unit 6, 1000 North Circular Road, London NW2 7JD, U.K. ENGLISH ESPAÑOL FRANÇAIS 1 33 66 DEUTSCH 99 ITALIANO 134 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 Technical Information ... 18 --1-- Handling Precautions · Your calculator is made up of precision components. Never try to take it apart. · Avoid 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 temperature, the calculator may require more time to display results and may even fail to operate. Correct operation will resume once the calculator is brought back to normal temperature. · The display will go blank and keys will not operate during calculations. When you are operating the keyboard, be sure to watch the display to make sure that all your key operations are being performed correctly. · Never leave dead batteries in the battery compartment. They can leak and damage the unit. · Avoid using volatile liquids such as thinner or benzine to clean the unit. Wipe it with a soft cloth, or with a cloth that has been dipped in a solution of water and a neutral detergent and wring out. · In no event will the manufacturer and its suppliers be liable to you or any other person for any damages, expenses, lost profits, lost savings, or any other damages arising out of malfunction, repairs, or battery replacement. The user should prepare physical records of data to protect against such data loss. · Never dispose of batteries, the liquid crystal panel, or other components by burning them. --2-- · Before assuming malfunction of the unit, be sure to carefully reread this manual and ensure that the problem is not due to low battery power 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 express written consent of the manufacturer. · Keep this manual on hand for future reference. Modes Application Standard deviation calculations Normal calculations Calculations using degrees Calculations using radians Calculations using grads Number of decimal place specification Number of significant digit specification Cancels FIX and SCI settings Key Operation Mode Name* SD COMP DEG RAD GRA FIX SCI NORM Fl F0 F4 F5 F6 F7 F8 F9 * Display indicators show current mode setting. Absence of display indicator indicates COMP Mode. --3-- Note! · A mode guide is located above the display screen. · DEG, RAD, and GRA modes can be used in combination with the COMP and SD modes. · F9does not exit SD mode. · F0exits SD mode. · F0does not clear SCI or FIX specifications. · Always press t before entering DEG, RAD, and GRA modes. · Remember to always set the operating mode and angular unit (DEG, RAD, GRA) before starting your calculation. --4-- Basic Calculations · Use the COMP mode for basic calculations. · Example 1: 23 4.5 53 23 + 4.5 , 53 = · Example 2: 56 ( 12)Ö( 2.5) 56 -12 E \ 2.5 E = · Example 3: 2Ö3 (1 1020) 2 \ 3 -1 e 20 = · Example 4: 7 8 4 5=36 7-8,4-5= · Example 5: 6 =0.3 45 4-5 \6AN = ­25.5 268.8 6.66666666719 36. 0.3 · Example 6: 2 [7 6 (5 4)] 122 2-O7+6- O 5+ 4PP = · You can skip all P operations before the = key. --5-- 122. 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 6) 2.3 + + 3 = 6= K K 5.3 8.3 · Example 2: 12 2.3, then 12 ( 9) (12 2.3) (12 ( 9)) 12 - - 2.3 = 9E= K K 27.6 ­108. · Example 3: 17 17 17 17 68 (17 17) (17 17 17) (17 17 17 17) 17 + + = K K K 34. 51. 68. = = · Example 4: 1.74 8.3521 (1.72) (1.73) (1.74) 1.7 - - = K K K 2.89 4.913 8.3521 = = --6-- Memory 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 value in memory. · To clear memory, press 0 Y or t Y. · Example 1: (53 6) (23 8) (56 2) (99Ö4) 210.75 (53 6) (23 8) (56 2) (99 4) (Memory recall) 53 + 6 = Y 23 , 8 | 56 - 2 | 99 \ 4 | M M M M M 59. 15. 112. 24.75 210.75 Z · Example 2: To calculate the following using memory as shown. M 13. --7-- · Example 3: To calculate the following using memory and a constant: (12 3) (45 3) (78 3) 135. (12 3) (45 3) (78 3) (Memory recall) 3 - - 12 = Y 45 A { 78 | MK MK MK MK 36. 135. 234. 135. Z Fraction Calculations · Use COMP mode for fraction calculations. · Total number of digits (including division marks) cannot exceed 10. 2 4 7 · Example 1: 1 3 5 15 2C3+4C5= 1 7 15. · Example 2: 3 1 4 1 2 11 4 3 12 3C1C4+ 1C2C3= · Example 3: 2 4 1 2 2 C4 4 11 12. 2 4. 1 2. = --8-- · Example 4: 1 2 1.6 2.1 1 C 2 + 1.6 = 2.1 Fraction/decimal calculation result is always decimal. · Example 5: 1 0.5 (Fraction Decimal) 2 1C2= 1 2. 0.5 1 2. C C · Example 6: 1 2 5 3 3 1C2C3 1 2 3. 5 3. 1 2 3. AB AB --9-- Percentage Calculations · Use COMP mode for percentage calculations. · Example 1: To calculate 12% of 1500. 1500 - 12 A v 180. · 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 , 75. 2875. 2625. · Example 5: To calculate the following, using a constant. 12% of 1200 = 144 18% of 1200 = 216 23% of 1200 = 276 (12%) (18%) (23%) 1200 - - 12 A v 18 A v 23 A v -- 10 -- K K K 144. 216. 276. Scientific Function Calculations · Use COMP mode for scientific function calculations. · Some calculations may take a long time to complete. · Wait for result before starting next calculation. · =3.1415926536. kSexagesimal Decimal Conversion · Example: 14°25'36" 14.42667 14 I 25 I 36 I 14.42666667 14°25°36 AO kTrigonometric/Inverse Trigonometric Functions · Example 1: sin ( 6 rad) (RAD mode) RAD Ax\6=S · Example 2: cos 63°52'41" (DEG mode) 63 I 52 I 41 I W · Example 3: tan ( 35gra)(GRA mode) 0.5 DEG 0.440283084 GRA 35 E h ­0.612800788 · Example 4: cos­1 ( 2 rad) (RAD mode) 2 RAD 2 L \ 2 = A V 0.785398163 -- 11 -- kHyperbolic/Inverse Hyperbolic Functions · Example 1: sinh 3.6 · Example 2: sinh 1 3.6 M S 30 M A j 18.28545536 4.094622224 30 kCommon and Natural Logarithms, Exponents · Example 1: log 1.23 · Example 2: In 90 ( loge 90) 1.23 R 90 T 0.089905111 4.49980967 3. Iog 64 · Example 3: Iog 4 64 R \ 4 R = · Example 4: 100.4 5 e 3 .4 A Q + 5- 3E AU= 2 A w3 = 3 2.760821773 · Example 5: 23 · Example 6: 2 8. 0.125 22026.46579 2Aw3E= 10 A U -- 12 -- · Example 7: e10 · Example 8: log sin 40° +log cos 35° (DEG mode) 40 S R +35 W R = ­0.278567983 To conver t to antilogarithm: DEG AQ 8As3= DEG 0.526540784 2. · Example 9: 81/3 k Square Roots, Cube Roots, Squares, Reciprocals and Factorials · Example 1: 2 3 5 2L+ 3L -5L = · Example 2: 3 5.287196909 5 3 27 5 A D + 27 E A D = ­1.290024053 · Example 3: 123 302 123 + 30 A K = 1 · Example 4: 1 3 1 4 1023. 3AX,4AX=A X 12. -- 13 -- · Example 5: 8! 8Af 40320. kFIX, SCI, NORM, RND, RAN#, ENG Calculations · Example 1: 1.234 1.234, rounding result to two places (FIX 2). F72 1.234 +1.234 = FIX 0.00 FIX 2.47 · Example 2: 1.234 1.234, rounding input to two places. F 7 21.234 A b + 1.234 A b = · Press F9 to clear FIX specification. · Example 3: 1Ö 3 , displaying result with two significant digits (SCI 2). FIX 2.46 F82 1 \3 = · Press F9 to clear SCI specification. SCI 0.0 00 SCI 3.3­01 · Example 4: To convert 56,088 meters to kilometers. 56088 J -- 14 -- 56.088 03 · Example 5: To convert 0.08125 grams to milligrams. .08125 J 81.25­03 · Example 6: To generate a random number between 0.000 and 0.999. Example (results differ each time) Ac 0.664 kCoordinate Conversion · Example 1: To convert polar coordinates (r 2, rectangular coordinates (x, y). (DEG mode) x y 2 A z 60 = 60°) to DEG 1. DEG A N 1.732050808 ANswaps displayed value with value in memory. · Example 2: To convert rectangular coordinates (1, 3 ) to polar coordinates (r, ). (RAD mode) r 1Ay3L= RAD 2. RAD A N 1.047197551 kPermutation · Example: To determine how many different 4-digit values can be produced using the numbers 1 through 7. 7Am4= -- 15 -- 840. kCombination · Example: To determine how many different 4-member groups can be organized in a group of 10 individuals. 10 A n 4 = 210. Statisticasl Calculations (SD Mode) · Press Flto enter the SD Mode for statistical calculations using standard deviation. · If FIX or SCI is on the display, press F9 first. · Data input always starts with Au. · Example: To calculate n 1, n, o, n, x, and following data : 55, 54, 51, 55, 53, 53, 54, 52. Enter SD Mode. Input Data. x2 for the Fl A u 55 } 54 } 51 } 55 } 53 } } 54 } 52 } 0. SD SD 52. SD Sample standard deviation Aq Ap -- 16 -- 1.407885953 SD Population standard deviation 1.316956719 Arithmetic mean A` Ar Ao Aa SD 53.375 SD Number of data 8. SD Sum of values 427. SD Sum of squares of values 22805. · }} inputs the same data twice (as above). · You can also input multiple entries of the same data using -. To input the data 110 ten times, for example, press 110 -10 }. · The above results can be obtained in any order, and not necessarily that shown above. · To delete data you have just input, press A[. -- 17 -- kMaking Corrections During Data Input · Example 1: To change data you have just input. Correct 51 } 130 31 } 130 31 } Actual 50 } 120 120 31 Correction A[ 51 } t130 31 } t130 31 } · Example 2: To change data you previously input. Correct 51 } 130 31 } Actual 49 } 120 30 } Correction 49 A [ 51 } 120 - 30 A [130 31 } Technical Information kKey and Their Functions · General Arithmetic calculations .......................... +, ,, -, ............. \, = -- 18 --