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Summary of Contents for fx-82MS

Page 2: ...MASTERING THE CALCULATOR USING THE CASIO fx 82MS Learning and Teaching Support Unit LTSU The Learning Centre Guide book Written by Linda Galligan...

Page 3: ...the provisions of the Copyright Act 1968 as amended or as a result of application to the copyright owner No part of this publication may be reproduced stored in a retrieval system or transmitted in an...

Page 4: ...ut 2 1 Addition and subtraction 4 2 Multiplication and division 8 3 Brackets 10 4 Powers 11 5 Fractions 17 6 Using the x 1 key 19 7 Scientific notation 20 8 Factorial x 22 9 Using memory 23 10 Statist...

Page 5: ...13 Exponential and logarithmic functions 36 14 Degrees minutes seconds 38 Review calculator exercises 41 Calculator solutions 42 Your notes 44...

Page 6: ...sing the Sharp EL 531LH Using the Sharp EL 556L Using the Sharp EL 531RH The instructions in this booklet only explain some of the keys available on your calculator necessary for basic work in data ma...

Page 7: ...arithmetic operations press To clear all values press To clear memory press The screen displays Press to clear memory If your calculator has FIX or SCI on the display press three times appears on the...

Page 8: ...a mode which gives you a preference for displaying the decimal point as a dot or comma as 34 26 or 34 26 Press four times until is displayed Press then forward once Press for dot end separates thousan...

Page 9: ...ind the key it is shown on the photograph of the calculator here Example To add 7 and 3 type The display should read 10 Example I want to find the total amount I earned in the past four weeks If I ear...

Page 10: ...e If I want to add 471 and 575 but I typed I can cancel 6 by typing and then typing The display should read 1 046 Try practising cancelling with the key until you are comfortable with its use 1 3 The...

Page 11: ...nything you omitted Example If you typed 471 56 but you wanted 471 576 press the display should read 1047 1 4 To subtract numbers Find the key it is shown on the photograph of the calculator following...

Page 12: ...ystrokes are The display should read 305 Sometimes you may have a sum like this 7 4 You can use the key The key strokes are The display should read 3 You could also use the keystrokes In this case the...

Page 13: ...ation and division 2 1 To multiply numbers Find the key it is shown on the photograph of your calculator here Example To multiply 7 and 3 type The display should read 21 To find 753 492 type The displ...

Page 14: ...To divide 7 905 by 85 type The display should read 93 To divide 56 by 23947 type The display should read 0 002338497 If it reads 2 3385 10 03 or something similar then your calculator is in SCI Scien...

Page 15: ...to use many sets of brackets Example Do the calculation 471 93 11 2 on the calculator Make sure your calculation is in ordinary comp mode The keystrokes required are The display should read 365 Someti...

Page 16: ...od 18 3 7 but you don t need to press the key c 4 5 2 3 7 to use two sets of brackets just press the same button d Answers 30 180 104 1 4 Powers 4 1 Squaring and higher powers 62 means 6 6 You can use...

Page 17: ...f you have learnt your multiplication tables you will already know the squares of the whole numbers from 1 to 12 and thus be able to complete much of the following table ______________________________...

Page 18: ...4 096 10 3 or 0 004096 you move the decimal 3 places to the left d 117649 e 1 903653939 f 0 0016 Just press 5 4 is the same as so you could press to get the same answer ______________________________...

Page 19: ...leted on the previous page and then check your answers on your calculator __________________________________________________________________________ The answers are 4 12 10 21 7 13 11 19 Let s now che...

Page 20: ...g because 82 h because 121 i because Check your answers on the calculator __________________________________________________________________________ 4 3 Other roots You can also use the root key on t...

Page 21: ...3 b and the display should read 2 c 16 and the display should read 2 Note Root key is a function at the back of the power key so you will need to activate it with the SHIFT key See the key The x stand...

Page 22: ...use your calculator to add fractions Find the key On the key the a represents the whole part of a mixed number and the represents the fraction part of a mixed number When the number you are typing is...

Page 23: ...as Example Find Using the calculator the key strokes are and the display will show 8 71 72 which is read as Note if you now press the display will read So this key turns a mixed fraction into an impro...

Page 24: ...plex calculations Find the key on your calculator Example Look at this simple example is the same as You can input this in your calculator by pressing The answer should be 0 571428571 This would be th...

Page 25: ...er is multiplied by 103 you move the decimal point three places to the right You can do this on the calculator by using the key Press the display should read 7240 If you want to multiply two numbers e...

Page 26: ...alculator then asks SCI 0 9 This gives the option of how many digits are displayed The gives you 10 digits Notice a small sci appears in the screen If you press three times then the display will read...

Page 27: ...3 and 5 Press 3 means 3 2 1 and 5 5 4 3 2 1 3 6 5 120 How many ways would you guess that we could arrange ten people That is how large would you estimate 10 to be Use your calculator to find 10 You sh...

Page 28: ...l to use the memory key for each term Example To make sure memory is clear first press or and make sure you are in normal calculation mode may need to press mode 1 An M appears in the display when you...

Page 29: ...m 3 0625 into memory then press this adds the third term 0 0625 to memory To find the answer press The answer should be 6 1875 Example 2 calculate the following first to clear the memory then press th...

Page 30: ...deviation for you the population standard deviation or the sample standard deviation in data calculations you will usually use the sample standard deviation On the Casio fx 82MS and s are found in s...

Page 31: ...ake sure you can locate them Before starting any computations always clear the statistic s memories using Scl Press I will use the data set A 5 2 3 4 11 to demonstrate the use of the calculator Note t...

Page 32: ...43693 and the display will read 192 5 The mean is 3 the standard deviation is 13 87 and the variance is 192 5 The button accesses a number of extra statistical functions If you have made an error with...

Page 33: ...g2 Note In calculations like the above you should carry as many decimals as possible until the final result The number of decimals to be retained at the end depends on the accuracy of the data values...

Page 34: ...1 4264369 Thus as expected s 1 2 kg s2 1 4 kg2 and 61 8 kg Exercise 6 Find the mean standard deviation and variance of a The annual rainfall data for the years 1971 1990 Year 1971 1972 1973 1974 1975...

Page 35: ...5 3 mm standard deviation 336 4 mm variance 2 113141 7 mm2 b Snail statistics mean 3 4 cm standard deviation s 0 70 cm variance s2 0 49 cm2 Snail foot length cm 2 2 4 1 3 5 4 5 3 2 3 7 3 0 2 6 3 4 1 6...

Page 36: ...he results STEPS 1 To put the calculator into regression mode press 1 Linear Regression there are 5 other types 2 Think of the sample of bananas as having two variables let x be the variable length of...

Page 37: ...read n 10 To find the linear regression equation in the form y a bx you need to find the value of a and b These keys are found under Press a is 0 3651 Press b is 0 0430 the equation is y 0 3651 0 0430...

Page 38: ...82MS 33 0 6432 Press to get 1 05 0 1433 You can also use the to predict the length given the thickness If 0 6 is the thickness then press 5 47mm Similarly if the length is 12mm then press to get 0 88...

Page 39: ...For example if your calculator has R or G on the display and you wish to work in degrees press mode twice and then select 1 for degrees Your screen should now display D Example 1 In the right angled t...

Page 40: ...gle below the length of the hypotenuse needs to be calculated To find the length of the side labelled x cm use The keystrokes on the calculator are The display should read 20 466631 so the length of t...

Page 41: ...value of the division by using the brackets Your display should read 60 If it does not check that you are in degree mode 13 Exponential and logarithmic functions There are two log keys on your calcul...

Page 42: ...nfirm this by using the key Example 2 Given find the value of y The key is above the log key Hence the keystrokes are The display should read 38 370725 Example 3 harder Given find the value of x To fi...

Page 43: ...ut removing the answer of 0 5187675 on your display press Your display should now read 3 3019272 Note You could use the ln key instead of the log key the answer would still be the same Try it 14 Degre...

Page 44: ...olved are The display should show 1 728343 so x is approximately 1 73 Example 2 If you wish to convert an angle in degrees to its equivalent in degrees minutes and seconds e g 34 88 the keystrokes are...

Page 45: ...40 Mastering the Calculator using the Casio fx 82MS...

Page 46: ...viii ix x xi 2 The following data is on growth in m in an economy over a 8 year period 2 5 6 2 2 1 0 04 8 2 7 4 2 1 1 7 Calculate i x ii x2 iii x 2 Explain in words what each of these mean 3 6 8 4 12...

Page 47: ...874 Either 12 8 16 5 3 8 or 16 5 3 8 x 1 12 8 v 0 9 Either 4 7 2 or 4 7 2 vi 3 2 Either 2 4 3 4 or 2 4 3 ab c 4 vii 9 296 Either 145 6 17 2x2 5 or 145 6 17 2x2 5 viii 1 41 Either 345 6 17 2x2 5 or 345...

Page 48: ...Calculate i x ii x2 iii x 2 Explain in words what each of these mean To do this on the calculator you must be in SD mode Enter the data mode 1 2 5 M 6 2 M 2 1 M 04 M 8 2 M 7 4 M 2 1 M 1 7 M i 22 64 Pr...

Page 49: ...44 Mastering the Calculator using the Casio fx 82MS Your notes...

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