Casio Fx-82AU PLUS Manual de usuario

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Using the Casio

Fx-82AU PLUS II and fx-100AU PLUS

scientific calculators

The pages in this guide may be photocopied

for classroom and non-commercial purposes.

This page may be photocopied for non-commercial use. Page 2

Operating instructions

Casio fx-82AU PLUS II and Casio fx-100AU PLUS

In addition to the best features of previous models the calculators have several new and improved

features.

Contents

Topic

Page

Getting started

Set up –degrees to radians

Decimal places and scientific notation

Fractions and decimals

5 - 6

Indices

Greatest common divisors, Lowest common multiples

Prime factorisation

Trigonometry

8 - 9

Converting between degrees and radians

The statistics menu

11 –13

Using the memories

Clearing the memories

Verify mode

Converting between polar and rectangular coordinates

Combinations and permutations

Using the last entry

Multi-statements

The percentage key

Random number simulations

Features unique to the fx100AU PLUS

Vectors

Calculations in different bases

Metric conversions

Complex numbers

Tips and hints

Trouble shooting

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Getting started

After you have turned on the calculator the first step is to choose the type of calculation you wish to do.

Press wto bring up the possibilities. While the fx-100AU PLUS has more possibilities both calculators

work in the same way.

fx-82AU PLUS II fx-100AU PLUS

COMP is the computation mode. This is the mode for performing the majority of scientific calculations.

CMPLEX is the complex number mode.

STAT is the mode for statistics and regression.

BASE-N allows calculations and conversions in bases 10, 6, 2 and 8.

VERIF is a new mode which enables the user to check whether a calculation or process is true or false.

VECTOR is another new menu that makes two and three dimensional vector calculations possible.

To enter a mode press the key for the digit indicated. For example, on both calculators press 1for the

computation mode, while statistics is accessed by pressing 2on the fx-82AU PLUS II and 3on the fx-

100AU PLUS.

The Computation mode

The computation mode offers a choice of how you would like to display mathematical expressions.

MthIO setup LineIO setup

Press qw to bring up the setup menu. Then select 1for mthIO or 2for lineIO.

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Setup information

Setting the calculator to degrees or radians

In the computation mode press qw to bring up the following screen:

Press 3for degrees or 4for radians. The calculator will remember the setting until you change it.

Decimal places and scientific notation

In the computation mode press qw for the above screen. Press 6to fix the number of decimal

places. The calculator will ask for the required number of decimal places. Press the number you require

and the calculator will continue to display answers in this form until you instruct it to do otherwise.

Refer to information on page 4 about toggling between fractions and decimals to obtain answers in

different forms.

Answers expressed in scientific notation

In the computation mode press qw for the setup screen. The calculator will then ask for the

number of significant figures required. Press the number you require and the calculator will continue to

display answers in this form until you instruct it to do otherwise.

Setting the calculator back to ‘normal’

In the computation mode press qw for the setup menu. Press 8for ‘normal display’. The

calculator will ask you whether you want Norm 1 or Norm 2. The difference between Norm 1 and Norm

2 is the value when the calculator swaps from a display as a decimal or a display as a decimal in scientific

notation.

In Norm 1, the answer to 1P200 is displayed as 5 × 10-3.

In Norm 2, the answer to 1P200 is displayed as 0.005.

Norm 2 doesn’t use scientific notation until the display is of the order of 5 × 10-9.

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Fractions and decimals

The key strokes for fractions are slightly different in the MthIO than in the LineIO mode.

Fractions in the LineIO mode

Use the abutton to enter any expression involving a fraction. You need to press a after the whole

number and after the numerator.

To enter 1⅔ + 5⅞ press 1a2a3+5a7a8=.

Fractions in MthIO mode

To enter a traditional fraction, for example ⅝, press a5 then use the arrow down section of the

blue, round replay button (R) to move to the position for the denominator. The press 8.

To enter a mixed numeral, for example 3⅘, press qa then 3$4R5$.

To enter 1⅞ + 5⅔ press qa1$7R8$+qa5$2R3$=.

Answers in different forms

The calculator can display the answer as an improper fraction or decimal and pressing n will toggle

between the two. Pressing qn (for N) will toggle the display between a mixed numeral and an

improper fraction.

Simplifying fractions

In MthIO and in LineIO mode the calculator can simplify fractions. Enter the fraction followed by =.

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Reciprocals

The u button will display a fraction’s reciprocal. To display the reciprocal of 1⅔ enter the fraction and

press = followed by u=.

Then

Fractional indices

The fraction button can be used as an index.

In the MthIO mode the button sequence is 32^a3R5$=.

In the LineIO mode the sequence is 32^3a5)=. Note that the calculator supplies the

first bracket and the second bracket can be omitted if it is the last entry before the = button.

Negative fractional indices

The calculator can execute an impressive range of calculations with negative and positive fractional

indices. Some examples include:

Naturally each of the above examples can be completed in the LineIO mode.

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Square and other roots

The calculator has inbuilt buttons for square and cube root as well as a button for any root.

Examples

The button sequence s5= determines the value of √5.

The button sequence to calculate the 5th root of 20 is qF5$20=.

Greatest common devisor and Lowest common multiple

Mode: 1 Computation or 2 statistics

Method: Access GCD or LCM then enter the pair of numbers separated by a comma.

Example

The greatest common devisor is also called the highest common factor. To calculate the greatest

common devisor of 45 and 80 press QO45 q )80)=.

To calculate the lowest common multiple of 12 and 9 press QP12 q)9)=.

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Prime factorization

Mode: 1 Computation

Method: Two steps are required. Enter the number to be factorized and press equals. Then activate

factor.

Example

To express 6480 as a product of its prime factors press 6480= q x.

Trigonometry

Mode: 1 Computation

Always check the setting for angles before you start any calculations involving trigonometry. There will

be a small letter at the top of the screen. A small D indicates that the calculator is set to degrees, a small

R indicates radians and a small G, gradients.

Set to degrees Set to radians

The method for changing from degrees to radians is on page 3.

Entering trigonometric expressions

The button sequence to enter 4.5sin71owith the calculator set in degrees is 4.5j71=

A Ois not required between the 5and j. Neither is the closing bracket required at the end.

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Degrees, minutes and seconds

Thexbutton is used to enter degrees, minutes and seconds. To enter 52o36’ 12” press

52x36x12x

Expressing a decimal in degrees, minutes and seconds

This process is slightly different to the process on previous calculators. Press

57.33908728x= to express 57.33908728 in degrees, minutes and

seconds.

Using an inverse trigonometric function

The button sequence ql1.56= is required to solve the equation tanφ = 1.56.

If you press xat the end of ql1.56= the calculator will display the answer in

degrees, minutes and seconds. This process is slightly different to the process on previous calculators.

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Converting between degrees and radians

When you are converting angle types you MUST have the calculator set to the type of angle you are

converting INTO.

Example

Change 1.2 radians into degrees.

Set the calculator to degrees then press 1.2qM2= .

Example

Convert 50oto radians.

Set the calculator to radians then press 50qM1=.

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