Sharp EL-509W, Operation Manual

Page 1: ...SCIENTIFIC CALCULATOR OPERATIONGUIDE SCIENTIFIC CALCULATOR OPERATIONGUIDE W Series ...

Page 2: ... root xth root of y 12 10 to the power of x common logarithm 13 e to the power of x natural logarithm 14 Factorials 15 Permutations combinations 16 Time calculation 17 Fractional calculations 18 Memory calculations 19 Last answer memory 20 Trigonometric functions 21 Arc trigonometric functions 22 Hyperbolic functions 23 Coordinate conversion 24 25 STATISTICS FUNCTION Binary pental octal decimal an...

Page 3: ...peration guide has been written based on the EL 531W EL 509W and EL 531W H models Some functions described here are not featured on other models In addition key operations and symbols on the display may differ accordingto the model Mode 0 normal mode for performingnormal arithmetic and function calculations Normal mode Mode 1 STAT 0 mode for performing1 variable statisti cal calculations STAT 0 mo...

Page 4: ...es Scientific notation SCI is displayed Frequently used in science to handle extremely small or large numbers Engineeringscientific notation ENG is displayed Convenient for convertingbetween different units specifies normal mode Example Let s compare the display result of 10000 8 1 in each display format 4 DIS P L AY F OR MAT A N D DE C IMA L S E T T IN G F U N C T I ON 3 DIS P L AY PAT T E R N In...

Page 5: ...l of work and it s easy to make mistakes In such a case the numerical values are divided into mantissa and exponent portions displayed and calculated Example W hat is the number of electronics flowingin a conductor when the electrical charge across a given cross section is 0 32 cou lombs The charge on a single electron 1 6 x 10 19 coulombs 0 32 DEG SCI mode SCI DEG X10 ENG mode ENG DEG X10 normal ...

Page 6: ... radians equaling100 grads π 3 14159 90 DEG RAD GRAD DEG Angular indicator Degrees DEG is shown at the top of the display A commonly used unit of measure for angles The angular measure of a circle is expressed as 360 Radians RA D is shown at the top of the display Radians are different than degrees and express angles based on the circumfer ence of a circle 180 is equivalent to π radians Therefore ...

Page 7: ... values includingcoefficients in 3 variable linear equations and statistics Values stored in memory in normal mode are not erased These arrow keys are useful for Multi Line playback which lets you scroll through calculation steps one by one refer to page 8 These keys are useful for editingequations The key moves the cursor to the left and the key moves the cursor to the right The key deletes the s...

Page 8: ... Pressingπ automatically enters the value for π 3 14159 The constant π used frequently in function calculations is the ratio of the circumference of a circle to its diameter Example Numeric keys for entering data values Decimal point key Enters a decimal point Enters minus symbol or sign change key Changes positive numbers to negative and negative numbers to positive Pressingthis key switches to s...

Page 9: ...s for statistics or research 0 A random number has been generated Random Dice To simulate a die rolling a random integer between 1 and 6 can be generated by pressing To generate the next random dice number press Random C oin To simulate a coin flip 0 heads or 1 tails can be randomly generated by pressing To generate the next random coin number press Random Integer An integer between 0 and 99 can b...

Page 10: ...h appears on the display By usingthis function internal calculations will be performed using only the displayed value A PPLIC AT IO N S Frequently used in scientific and technical fields as well as business when performingchained calculations Example Rounded calculation MDF FIX mode TAB 1 normal calculation 5 0 0 6 0 6 5 4 5 9 9 5 9 9 Modify internally 0 6 internally 0 5555 internally 0 5555 ...

Page 11: ... can make addition and subtraction operations have precedence over multiplication and division by enclosingthem in parentheses The four basic operators Each is used in the same way as a standard calculator addition subtraction x multiplication and division Finds the result in the same way as a standard calculator ...

Page 12: ...ges Four methods of calculating percentages are presented as follows 1 125 increased by 10 137 5 2 125 reduced by 20 100 3 15 of 125 18 75 4 W hen 125 equals 5 of X X equals 2500 125 10 125 20 125 15 125 5 Percent DEG DEG DEG DEG ...

Page 13: ...the display Squares the value on the display Cubes the value on the display Calculates the cube root of the value on the display Calculates the xth root of y 2 4 4 16 DEG DEG DEG O peration Display C alculates exponential values 2 2 2 2 Inverse Square Cube xth Power of y Square Root Cube Root xth Root of y ...

Page 14: ...wer of x Common Logarithm Example Calculates the value of 10 raised to the xth power Calculates logarithm the exponent of the power to which 10 must be raised to equal the given value 1000 3 O peration Display DEG DEG ...

Page 15: ...ral Logarithm Calculates powers based on the constant e 2 718281828 Example 5 10 O peration Display DEG DEG Computes the value of the natural logarithm the exponent of the power to which e must be raised to equal the given value ...

Page 16: ...sser positive integers from 1 to n 1 is indicated by n and called the factorial of n A PPLIC AT IO N S Used in statistics and mathematics In statistics this function is used in calculations involvingcombinations and permutations Example c f n 1 x 2 x 3 x xn O peration Display DEG 7 ...

Page 17: ...ible orderings in selecting r objects from a set of n objects For example there are six different ways of ordering the letters ABC in groups of three letters ABC ACB BAC BC A C AB and C BA The calculation equation is 3 P3 3 x 2 x 1 6 ways This function finds the number of ways of selecting r objects from a set of n objects For example from the three letters ABC there are three ways we can extract ...

Page 18: ...imal notation Also converts a decimal value to sexagesimal notataion degrees minutes seconds Inputs values in sexagesimal notation degrees minutes seconds Example A PPLIC AT IO N S Used in calculations of angles and angular velocity in physics and latitude and longitude in geography 24 28 35 O peration Display Repeat last key operation to return to the previous display Convert to decimal notation ...

Page 19: ...5 7 Convert to an improper fraction Press once to return to the previous display Convert to decimal notation Press once to return to the previous display A PPLIC AT IO N S There is a wide variety of applications for this function because fractions are such a basic part of mathematics This function is useful for calculations involving electrical circuit resistance DEG DEG DEG O peration Display DEG...

Page 20: ...M Memory Calculations Example 1 25 27 7 3 DEG M DEG M DEG M DEG O peration Display Temporary memories Enter 0 for M 0 Example 2 Subtracts the displayed value from the value in the independent memory M Independent memory O peration Display Calculates at the designated exchange rate 110 26510 2750 1 110 26 510 2 750 DEG 110 Y DEG 26510ÖY DEG 2750xY ...

Page 21: ...20 Solve for x first and then solve for y using x Last Answer Memory Example y 4 x and x 2 3 O peration Display DEG DEG 2 3 4 Automatically recalls the last answer calculated by pressing ...

Page 22: ...vations civil engi neeringand in calculations involvingelectrical circuits as well as in calcula tions for physics such as parabolic motion and wave motion C alculates the sine of an angle C alculates the cosine of an angle C alculates the tangent of an angle Example 45 15 iew point 1 5 O peration Display sinθ b a tanθ b c cosθ c a a c b θ DEG Trigonometric functions determine the ratio of three s...

Page 23: ...tions DEG mode arc sine Determines an angle based on the ratio b a of two sides of a right triangle arc cosine Determines an angle based on the ratio c a for two sides of a right triangle arc tangent Determines an angle based on the ratio a b for two sides of a right triangle Example At what angle should an airplane climb in order to climb 80 meters in 100 meters 80 100 O peration Display θ sin 1 ...

Page 24: ...d by usingnatural exponents in trigo nometric functions A PPLIC AT IO N S Hyperbolic and arc hyperbolic functions are very useful in electrical engineering and physics Arc hyperbolic functions are defined by usingnatural logarithms in trigono metric functions ...

Page 25: ...es r θ x y Splits data used for dual variable data input Displays r θ and x y Cx y or r θ Example Determine the polar coordinates r θ when the rectangu lar coordinates of Point P are x 7 y 3 DEG mode A PPLIC AT IO N S Coordinate conversion is often used in mathematics and engineering espe cially for impedance calculations in electronics and electrical engineering 7 3 7 6 23 2 O peration Display DE...

Page 26: ... operations AND OR NOT NEG XOR and XNOR on binary pental octal and hexadecimal numbers Converts to the binary system b appears Converts to the pental system P appears Converts to the octal system o appears Converts to the hexadecimal system H appears Converts to the decimal system b P o and H disappear from the display Conversion is performed on the displayed value when these keys are pressed Exam...

Page 27: ... N o 1 2 3 4 5 6 7 8 Score 30 40 50 60 70 80 90 100 N o of pupils 2 4 5 7 12 10 8 2 Data table 1 Select single variable statistics mode The statistics function is excellent for analyzingqualities of an event Though primarily used for engineeringand mathematics the function is also applied to nearly all other fields includingeconomics and medicine Statistics Function DEG STAT Score Number of pupils...

Page 28: ... the second power Let s check the results based on the previous data 69 average value 17 75686128 standard deviation 17 57839583 standard deviation of the population 50 total count of data 3450 total N OT E 1 Sample data refers to data selected randomly from the population 2 Standard deviation of samples is determined by the sample data shift from an average value 3 Standard deviation for the popu...

Page 29: ...To reverse the display order to descending latest first press the key Each item is displayed with Xn Yn or Nn n is the sequential number of the data set Display the data item to modify input the correct value then press Using you can correct the values of the data set all at once W hen or appears more data items can be browsed by pressing or To delete a data set display an item of the data set to ...

Page 30: ... broad range of fields includingengineering business and economics They are most often applied to analysis in atmospheric observations and physics experiments as well as for quality control in factories 45 60 3 O peration Display DEG STAT X2 DEG STAT X2 DEG STAT N2 DEG STAT X3 ...

Page 31: ...sed on the data table Example 3 6 2 13 Data table 3 Select dual variable statistics mode and linear regression calculation in sub mode Year 1983 1984 1985 1986 1987 1988 1989 1990 Average temperature 6 2 7 0 6 8 8 7 7 9 6 5 6 1 8 2 Date blossoms bloom 13 9 11 5 7 12 15 7 x y DEG STAT DEG STAT Date Temperature 6 15 8 2 7 DEG STAT DEG STAT O peration Display Stat 1 DATA SET DATA SET DATA SET 1 ...

Page 32: ... data Calculates the sum of the product for sample data x and sample data y Calculates the sum of the data sample datay Calculates the sum of the data sample datay raised to the second power Calculates the average value of the data sample datay In addition to the 1 variable statistic keys the followingkeys have been added for calcu lating2 variable statistics Calculates the standard deviation of a...

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