Sharp WriteView EL-W531X User manual

SCIENTIFIC
CALCULATOR
OPERATION GUIDE
SCIENTIFIC
CALCULATOR
OPERATION GUIDE
<Write View>

1 2
Arc trigonometric functions 43
CONTENTS
HOW TO OPERATE
Read Before Using
Functions and Key Operations
ON/OFF, entry correction keys 7
Data entry keys 8
Random key 9
Modify key 10
Basic arithmetic keys, parentheses 11
Percent 12
Inverse, square, cube, xth power of y,
square root, cube root, xth root of y13
Key layout 3
Reset switch/Display pattern 4
Display format and decimal setting function 4-5
Exponent display 5
Angular unit 6
STATISTICS FUNCTIONS
Data input and correction 64
“ANS” keys for 1-variable statistics 65-69
Data correction 70-72
“ANS” keys for 2-variable statistics 73
10 to the power of x, common logarithm,
logarithm of xto base a
17
Binary, pental, octal, decimal, and
hexadecimal operations (N-base) 49
e to the power of x, natural logarithm 21
Exponential, logarithmic 18-20
Permutations, combinations 24-26
Matrix calculation 27-31
Hyperbolic 44-46
Differentiation calculation 50-51
Integration calculation 52-54
Polynomial equation 55-58
Simultaneous calculation 59-61
Complex calculation 62-63
Power and radical root 14-16
Factorials 22-23
Time calculation 32
Fractional calculations 33
Memory calculations 34
Last answer memory 35
User-defined functions 36
Absolute value 37
Trigonometric functions 38-42
Hyperbolic functions 47
Coordinate conversion 48
~
~
BX
x
dx
CB
d/dx x
i

1 2
Arc trigonometric functions 43
CONTENTS
HOW TO OPERATE
Read Before Using
Functions and Key Operations
ON/OFF, entry correction keys 7
Data entry keys 8
Random key 9
Modify key 10
Basic arithmetic keys, parentheses 11
Percent 12
Inverse, square, cube, xth power of y,
square root, cube root, xth root of y13
Key layout 3
Reset switch/Display pattern 4
Display format and decimal setting function 4-5
Exponent display 5
Angular unit 6
STATISTICS FUNCTIONS
Data input and correction 64
“ANS” keys for 1-variable statistics 65-69
Data correction 70-72
“ANS” keys for 2-variable statistics 73
10 to the power of x, common logarithm,
logarithm of xto base a
17
Binary, pental, octal, decimal, and
hexadecimal operations (N-base) 49
e to the power of x, natural logarithm 21
Exponential, logarithmic 18-20
Permutations, combinations 24-26
Matrix calculation 27-31
Hyperbolic 44-46
Differentiation calculation 50-51
Integration calculation 52-54
Polynomial equation 55-58
Simultaneous calculation 59-61
Complex calculation 62-63
Power and radical root 14-16
Factorials 22-23
Time calculation 32
Fractional calculations 33
Memory calculations 34
Last answer memory 35
User-defined functions 36
Absolute value 37
Trigonometric functions 38-42
Hyperbolic functions 47
Coordinate conversion 48
~
~
BX
x
dx
CB
d/dx x
i

3
How to Operate
Mode key
<Example>
1. KEY LAYOUT
≈Read Before Using≈
This operation guide has been written based on the EL-W531X, EL-W535X, EL-W531XH,
EL-W531XG, EL-W531, EL-W506X, EL-W516X and EL-W506 models. Some functions
described here are not featured on other models.
In addition, key operations and symbols on the display may differ according to the model.
(SD): Single variable statistic calculation
(LINE): Linear regression calculation
(QUAD): Quadratic regression calculation
(E_EXP): Eular Exponential regression calculation
(LOG): Logarithmic regression calculation
(POWER): Power regression calculation
(INV): Inverse regression calculation
(EXP): Exponential regression calculation
2nd function, ALPHA keys
Pressing these keys will enable the
functions written in orange (2nd F)
or green (ALPHA) above the
calculator buttons.
This calculator can operate in three different
modes as follows.
[Normal mode] •Mode = 0; normal mode
for performing normal
arithmetic and function
calculations.
ON/C, OFF key
Direct function
<Power on>
<Power off>
2nd function
Written in orange
above the ON/C key
(EL-W506X/EL-W516X/EL-W506 only)
[STAT mode]
•Mode = 1; mode for
performing 1- or 2-variable
statistical calculations. To
select the statistical sub-
mode, press the
corresponding number
key after .
[Drill mode]
•Mode = 2; mode for
performing drill
calculations. To select the
drill sub-mode, press the
corresponding number
key after .
(MATH): Math drill
(TABLE): Multiplication table drill

4
(specifies normal mode)
<Example>
3. DISPLAY PATTERN
Initial display
The actual display does not appear like this.
This illustration is for explanatory purposes only.
Note: The calculator has two settings for displaying a
floating point number: NORM1(default setting) and
NORM2. In each display setting, a number is
automatically displayed in scientific notation outside a
preset range:
• NORM1: 0.000000001 <
_
x <
_
9999999999
• NORM2: 0.01 <
_
x <
_
9999999999
10000 8.1
Appears
when the
entire
equation
cannot be
displayed.
Hyperbolic
symbol (HYP) Alphabet symbol
(ALPHA)
Angular unit
indicator
(DEG/RAD/GRAD)
2ndF symbol
Appears when the
entire equation
cannot be displayed.
Display format indicator
(ENG, SCI, FIX, N2, N1)
WriteView mode
(View as it is written)
Equation display
Answer display
Memory
symbol
For convenient and easy operation, this model can be used in one of five display modes.
The selected display status is shown in the lower left part of the display (Format Indicator).
Note: If more 0’s (zeros) than needed are displayed when the ON/C key is pressed, check
whether or not the calculator is set to a Special Display Format.
• Floating decimal point format 1/2 (N1/N2 is displayed)
Valid values beyond the maximum range are displayed in the form of [10-digit
(mantissa) + 2-digit (exponent)]
• Fixed decimal point format (FIX is displayed)
Displays the fractional part of the calculation result according to the specified
number of decimal places.
• Scientific notation (SCI is displayed)
Frequently used in science to handle extremely small or large numbers.
• Engineering scientific notation (ENG is displayed)
Convenient for converting between different units.
RESET
2. RESET SWITCH
Reset switch
RESET
If the calculator fails to operate
normally, press the reset switch on
the back to reinitialise the unit. The
display format and calculation mode
will return to their initial settings.
NOTE:
Pressing the reset switch
will erase any data stored
in memory.
4. DISPLAY FORMAT AND
DECIMAL SETTING FUNCTION
Let’s compare the display result of
[10000 8.1 =] in each display format.

5
5. EXPONENT DISPLAY
<Example>
0.32 191.6
(FIX mode TAB = 3)
(SCI mode)
(ENG mode)
(normal mode)
The distance from the earth to the sun is approx. 150,000,000 (1.5 x 108) km. Values
such as this with many zeros are often used in scientific calculations, but entering the
zeros one by one is a great deal of work and it’s easy to make mistakes. In such
cases, the numerical values are divided into mantissa and exponent portions,
displayed and calculated.
What is the number of electrons flowing in 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 10-19coulombs).

6
<Example>
6. ANGULAR UNIT
Operation Display
90
Angular values are converted from DEG to RAD to GRAD with each push of the DRG
key. This function is used when doing calculations related to trigonometric functions or
coordinate geometry conversions.
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 (RAD is shown at the top of the display)
Radians are different from degrees and express angles based on the circumfer-
ence of a circle. 180
°
is equivalent to πradians. Therefore, the angular mea-
sure of a circle is 2πradians.
Grads (GRAD is shown at the top of the display)
Grads are a unit of angular measure used in Europe, particularly in France. An
angle of 90 degrees is equivalent to 100 grads.
The relationships between the three types
of angular units can be expressed as right:
π
2
90° (DEG) =
π/2 (RAD) =
100 (GRAD) =
Check to confirm 90 degrees equalling π/2 radians
equalling 100 grads. (π=3.14159...)

7
Turns the calculator on or clears the data. It also clears the contents of the
calculator display and voids any calculator command; however, coefficients in
3-variable linear equations and statistics, as well as values stored in the
independent memory in normal mode, are not erased.
Clears all internal values, including the last answer (ANS) 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.
Turns the calculator off.
These keys are useful for editing equations. The key moves the
cursor to the left, and the key moves the cursor to the right.
The key deletes the symbol/number at the left of the cursor, and
the key deletes the symbol/number at the cursor.
≈Functions and Key Operations≈
ON/OFF, Entry
Correction Keys

8
Data Entry Keys
<Example>
0 to 9
Operation
21.496 8
Display
Decimal point key. Enters a decimal point.
Numeric keys for entering data values.
Pressing this key switches to scientific notation data entry.
Provided the earth is moving around the sun in a circular orbit,
how many kilometers will it travel in a year?
Circumference equals diameter x π ; therefore,
1.496 x 108x 2 x
π
* The average distance between the earth and the sun being
1.496 x 108km.
Pressing πautomatically 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
Enters the minus symbol.
The subtraction key is not used for entering negative numbers.
(EL-W506X/EL-W516X/EL-W506 only)

9
Random Key
<Example>
0. *** (A random number is generated.)
[Random Dice]
To simulate a die-rolling, a random integer between 1and 6can be generated by
pressing . To generate the next random dice number, press .
[Random Coin]
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 0and 99 can be generated randomly by pressing .
To generate the next random integer, press .
Generates random numbers.
Random numbers are three-decimal-place values between 0.000 and 0.999. Using this
function enables the user to obtain unbiased sampling data derived from random
values generated by the calculator. (Using line mode is preferable since in W-View
mode, the numbers are generated by fractions.)
APPLICATIONS:
Building sample sets for statistics or research.

10
<Example>
5.0
0.6
0.6
5.4
59
9
59
9
Modify Key
Function to round calculation results.
Even after setting the number of decimal places on the display, the calculator per-
forms calculations using a larger number of decimal places than that which appears
on the display. By using this function, internal calculations will be performed using
only the displayed value.
FIX mode TAB = 1 (normal calculation)
Rounded calculation (MDF)
(internally, 0.5555...)
(internally, 0.5555...)
(internally, 0.6)
APPLICATIONS:
Frequently used in scientific and technical fields, as well as business,
when performing chained calculations.
(In W-View mode, press to show the answer in decimal.)

11
The four basic operators. Each is used in the same way as a standard
calculator:
+(addition), – (subtraction), x (multiplication), and ÷ (division).
Used to specify calculations in which certain operations have precedence.
You can make addition and subtraction operations have precedence over
multiplication and division by enclosing them in parentheses.
Finds the result in the same way as a standard calculator.
Basic Arithmetic
Keys, Parentheses

12
125 10
Percent
125 20
125 15
125 5
For calculating percentages. 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) When $125 equals 5% of X, X equals…2500
13
<Example>
Operation Display
Inverse, Square, Cube,
xth Power of y,Square Root,
Cube Root, xth Root of y
2 2 2 2
416
24
Calculates the inverse of the value on the display.
Squares the value on the display.
Cubes the value on the display.
Calculates exponential values.
Calculates the square root of the value on the display.
Calculates the cube root of the value on the display.
Calculates the xth root of y.

13
<Example>
Operation Display
Inverse, Square, Cube,
xth Power of y,Square Root,
Cube Root, xth Root of y
2 2 2 2
416
24
Calculates the inverse of the value on the display.
Squares the value on the display.
Cubes the value on the display.
Calculates exponential values.
Calculates the square root of the value on the display.
Calculates the cube root of the value on the display.
Calculates the xth root of y.

<Example 1> Design a shaft that bears a torque T(= 9,550 Nm).
is a constant that is determined by the material of the shaft,
and is taken to be = 20 N/mm2.
(Function for EL-W531X/EL-W535X/EL-W531XH/EL-W531XG/EL-W531)
Operation Display
16 9550
20
14
Power and Radical root
d= 16T
3
Use instead of .
(Function for EL-W506X/EL-W516X/EL-W506)

If the principal is a (¥), the annual interest rate is r(%),
and the number of years of interest accumulation is x(years),
the final amount y(¥) is given by the following equation:
(1) Find the final amount when a principal of ¥400,000 is
deposited for three years at an annual interest rate of 5%
and the interest is compounded annually.
(2) When a principal of ¥300,000 is deposited for five years
and the interest is compounded annually, the final amount is
¥339,422. The annual interest rate ris given by the equation below.
Find the annual interest rate r.
(1)
(2)
x
r= 100 - 1( )
y
a
5- 1
339422
300000
y= 400000 1 +
( )
5
100
3
r= 100 ( )
5100
300000
y= a( 1 + r/ 100 )x
400000 1
3
100
5 339422
1
Operation Display
<Example 2>
Power and Radical root
15

16
The musical note A is 440 Hz.
Calculate the frequencies of the notes in (1) to (3).
(1) "C" of A, A# (B ), B, C
(2) "C" of A, G, F, E, D, C
(3) "A" one octave higher
(1)
(2)
12 2
440
3
12
(3)
12 2
440
12
3 2
2
400 x (12 2)3
400 x (12 2)12
400 x (12 2)3
2
440
Operation Display
Power and Radical root
<Example 3>

17
<Example>
1000
3
Operation Display
10 to the Power of x,
Common Logarithm,
Logarithm of x to Base a
Calculates the value of 10 raised to the xth power.
Calculates the logarithm, the exponent of the power to which 10 must be
raised to equal the given value.
Calculates the logarithm of xto power a.
345

Operation Display
logE= 4.8 + 1.5M
logE- 4.8
1.5
M=
(1)
(2)
1.5
1
1.5
2
If E(units: joules) is the amount of energy released by an
earthquake and Mis the magnitude, the relation
holds.
If E' is the energy when the magnitude increases by N,
holds.
(1) When the magnitude increases by 1, by what factor does
the energy increase?
(2) When the magnitude increases by 2, by what factor does
the energy increase?
(3)
The amount of energy in 20,000 tons of TNT is 8 x 1013 joules.
When this energy is converted to a magnitude,
holds. Find the magnitude M.
= 101.5N
E'
E
18
Exponential, Logarithmic
<Example 1>
(3)
4.8
8
13
1.5

Operation Display
1000000
1000000
101000
1000000 101000
0.01
1000000 0.01
0.434
<Example 2> Air is held inside a cylinder of volume V1(= 0.01 m3) at a
pressure P1(= 1,000,000 Pa) at 27°C with a piston.
Find the quantity of thermal energy Qneeded to expand the air
at constant temperature to a pressure of P2(= 101,000 Pa).
19
Q= p1V1In p2
p1
p2
p1
log
p1V1
0.434
Exponential, Logarithmic