Casio FX-82AU PLUS manual Logs, natural logs and e, 5A 2 B, 90×10−4 9

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Logs, natural logs and e

The calculator uses gfor log base 10 and hfor log base e. You don’t have to remember which button is which. All you need to do is look at the second function above each button. The gbutton has Gabove it reminding you that the gbutton is base 10. Similarly the hbutton has Habove it. his base e.

1Use your calculator to evaluate each expression correct to 3 decimal places.

A

log10 105

B

loge 8

C log10 0.6

D

loge 0.5

E

log10 (4.3× 2.5)

F 4loge 209

2A Enter loge (−1) into your calculator.

B Explain why your calculator displays the message “Math ERROR”.

3Your calculator has two e buttons. You can find the value of e as the alpha function on K. The value of ex can be determined by using the second function on h.

A Determine the value of e using Q K p. Answer to 4 decimal places. B Find the value of e3 to 2 decimal places by pressing SHIFTh3.

1.Determine the following values correct to 2 decimal places.

A e2.5

B e−1

C e

4Calculate the values of the following expressions.

A

loge

e2

B loge e3

C loge e

D

loge

e−1

F log10 100

G log10 10−1

5What is the value of loge en ? (You’ll have to use your brain for this one!)

6Evaluate 800e12k when k = 0.4. Express your answer to the nearest hundred.

7Determine the value of 950e−10k when k = 1.4.Express your answer in scientific notation with 3 significant figures.

8What is the value of π e? Express your answer to 2 decimal places.

Answers

 

 

 

 

 

 

 

1A 2.021

B 2.079

C −0.222

D −0.693

E 1.031

F 21.369

2 log x only exists for x > 0.

3A 2.7183

B 20.09 4A 12.18 B 0.37 C 2.72

5A 2 B 3

C 1

D −1

E 2

F −1

6 n

7 97 200

8 7.90×10−4 9 8.54

© Sue Thomson and Shriro Australia PTY Limited. This page may be photocopied for classroom use.

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Contents Using the Casio fx-82AU Plus Scientific Calculator Publishing information Contents Comp calculations menus Getting startedSetting decimal places and scientific notation Set up informationSetting the calculator to degrees or radians Fractions in the Math mode Fractions in the Line modeFractions and decimals Answers in different formsFractional indices Simplifying fractionsReciprocals Negative, fractional indices Powers, math mode and bracketsDetermining powers Powers and rootsUsing the M feature Determining rootsTrigonometry Using inverse trigEntering trigonometric expressions Degrees, minutes and secondsChanging radians into degrees or degrees into radians Changing a decimal to degrees, minutes and secondsRadians to degrees Degrees to radiansTurning frequency on or off Statistics menuStep ExampleStandard deviation Continuing with the example from the previous MeanRandom number function Using Ran#Random number formulas RanInt functionUsing values stored in A, B, C, D, X or Y Using the memoriesIndependent memory M Storing values in A, B, C, D, X or YTips and hints Answers to fractions calculations are improper fractions Trouble shootingCalculator is using a comma in place of a decimal point Calculator is frozen 375 AnswersF 2 G 45% 79% 245% 1000% 120.5%075 025 F 205 J 93.75 $84 84.375 $140.2511 8.55 Working with fractions114 2536 Remember Fix, scientific notation and norm121 76 D 216 728 D 128 152 73 D 6 C 1.3 D 6A7 25 D383 Roots and exponents16 − Cosθ = Tanθ = Sinθ = Check your calculator settingsTanα = Sinα = Cosα = 28 0 D 51 0 E 66 0 F 49Button pressing sequence for statistics is on pages 12 to StatisticsScores Frequency Scores Frequencies Answers+ 8.1 × 12.7 + 3 + + 8.1 ÷ + π 12 − π × π × 4.3Right hand screen has a value stored in the memory 116.18Express your answer Degrees ⇔ RadiansCorrect to 3 decimal places 9sin0.7 c90×10−4 9 Logs, natural logs and e5A 2 B Class Frequency GallipoliAustralia and New Zealand joined the First World War1 Want to know more? Waiting time investigation Simulation Playing dice simulationWhat you have to do Subtracting dice BingoGame rules

FX-82AU PLUS specifications

The Casio FX-82AU PLUS is a powerful scientific calculator designed specifically for students and professionals alike who require advanced mathematical functions and features. Renowned for its reliability and user-friendly interface, this calculator has become a staple in classrooms and workplaces around the globe.

One of the standout features of the Casio FX-82AU PLUS is its extensive range of functions. The calculator supports over 250 functions, making it capable of handling a variety of tasks in mathematics, physics, and engineering. These functions include everything from basic arithmetic operations to more complex calculations such as trigonometry, statistics, and calculus. This versatility makes it an ideal choice for high school students, university undergraduates, and professionals.

The FX-82AU PLUS boasts a natural textbook display, which allows users to view expressions and results in a format similar to how they appear in textbooks. This feature enhances understanding and reduces errors, making it easier for users to verify their calculations. The calculator also incorporates a two-line display, allowing users to see both the input and result simultaneously, fostering a seamless calculation experience.

Additionally, the Casio FX-82AU PLUS is equipped with a quick-function key for calculations, which streamlines the process of obtaining results. This feature, combined with its intuitive layout, enables users to operate the calculator efficiently, whether they are performing statistical analysis or solving complex equations.

Another impressive characteristic of the FX-82AU PLUS is its durability and long battery life. Designed with longevity in mind, it features robust construction that is well-suited for daily use, ensuring that it can withstand the rigors of classroom and fieldwork. The calculator is powered by a solar rechargeable battery combined with a backup battery, meaning users can rely on it in various lighting conditions, minimizing downtime during critical operations.

In terms of design, the Casio FX-82AU PLUS maintains a compact and lightweight profile, making it portable and convenient for students and professionals who are always on the go. Its ergonomic layout ensures comfort during prolonged use, allowing users to navigate through functions without unnecessary strain.

In summary, the Casio FX-82AU PLUS is more than just a calculator; it is a comprehensive tool that enhances mathematical learning and professional efficiency. Its wide range of functions, natural textbook display, and durable design set it apart as a preferred choice in the scientific calculator category, making it an essential tool for anyone engaged in mathematics or related fields.
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