SHARP EL-510R User Manual

ENGLISH

SCIENTIFIC CALCULATOR

EL-510R

MODEL

OPERATION MANUAL

INTRODUCTION ....................................................... 2

DISPLAY .................................................................... 2

BEFORE USING THE CALCULATOR ...................... 3

INITIAL SETUP.......................................................... 5

SCIENTIFIC CALCULATIONS .................................. 6

Arithmetic Operations/Constant Calculations .... 6

Functions ............................................................ 7

Random Numbers .............................................. 8

Angular Unit Conversions .................................. 8

Memory Calculations .......................................... 9

Chain Calculations ........................................... 10

Fraction Calculations ........................................ 11

Time, Decimal and Sexagesimal

Calculations .................................................. 11

Coordinate Conversions ................................... 12

STATISTICAL CALCULATIONS ............................. 12

ERROR AND CALCULATION RANGES ................ 14

BATTERY REPLACEMENT .................................... 17

SPECIFICATIONS ................................................... 18

98KUP (TINSE0272THZZ)

PRINTED IN CHINA

– 1 –

01 11 20 22 23 30

Page

INTRODUCTION

After reading this manual, store it in a convenient location
for future reference.

Operational Notes

To ensure trouble-free operation, please observe the fol­lowing points:

1. Do not carry the calculator in the back pocket of slacks
or trousers.

2. Do not subject the calculator to extreme temperatures.

3. Do not drop it or apply excessive force.

4. Clean only with a soft, dry cloth.

5. Do not use or store the calculator where fluids can
splash onto it.

♦ Press the RESET switch only in the following cases:

• When using for the first time

• After replacing the batteries

• To clear all memory contents

• When an abnormal condition occurs and all keys are

inoperative.
If service should be required on this calculator, use only a
SHARP servicing dealer, SHARP approved service facil­ity, or SHARP repair service where available.

DISPLAY

Symbol

Mantissa Exponent

(During actual use not all symbols are displayed at the
same time.)
If the value of mantissa does not fit within the range
±0.000000001 – ±9999999999, the display changes to
scientific notation. The display mode can be changed ac­cording to the purpose of the calculation.

– 2 – – 3 – – 4 – – 5 –

/

: Appears when the entire equation cannot be

displayed. Press </> to see the remain­ing (hidden) section.

2ndF : Appears when @ is pressed, indicating that

the functions shown in yellow are enable.

HYP : Indicates that h has been pressed and the

hyperbolic functions are enabled. If @ Á
are pressed, the symbols “2ndF HYP” appear,
indicating that inverse hyperbolic functions are
enabled.

A:Indicates that @ K or O (R) has

been pressed, and entry (recall) of memory con­tents and recall of statistics can be performed.

FIX/SCI/ENG: Indicates the notation used to display a

value and changes each time @ f are
pressed.

DEG/RAD/GRAD: Indicates angular units and changes

each time G is pressed.

STAT

: Appears when statistics mode is selected.

M:Indicates that a numerical value is stored in the

independent memory.

BEFORE USING THE CALCULATOR

Key Notation Used in this Manual

In this manual, key operations are described as follows:

2

x

To specify x2 : @ L

E To specify Exp: E

Functions that are printed in yellow above the key require
@ to be pressed first before the key. Numbers are not
shown as keys, but as ordinary numbers.

Power On and Off

Press N to turn the calculator on, and @ F to
turn it off.

Clearing Methods

There are three clearing methods as follows:

Clearing Entry M*

1

X,Y*

operation (Display) STAT, ANS

N ××
@c ×

RESET

: Clear × : Retain

1

*

Independent memory M.

2

Temporary memories X and Y, statistical data, and last

*

answer memory.

See page 9 for additional reference.

Editing the Equation

• Press < or > to move the cursor. You can also

return to the equation after getting an answer by press­ing > (<).

• If you need to delete a number, move the cursor to the

number you wish to delete then press d.
The number under the cursor will be deleted.

• If you need to insert a number, move the cursor to the
place immediately after where you wish to insert the
number then enter the number.

Priority Levels in Calculation

This calculator performs operations according to the fol­lowing priority:

1

Functions preceded by their argument (x

x, x

¿

3

2

Y

Implied multiplication of a memory value (2Y,
etc.) 4 Functions followed by their argument (sin, cos,
etc.) 5 Implied multiplication of a function (2sin30, etc.)

nCr, nPr

7

6

|RAD, |GRAD, DATA, CD, →rθ, →xy and other calcula-

×, ÷ 8 +, – 9 =, M+, M–, ⇒M, |DEG,

tion ending instruction

• If parentheses are used, parenthesized calculations have

precedence over any other calculations.

-1

, x2, n!, etc.)

Mode Selection

2

Normal mode: @m0
Used to perform arithmetic operations and function calcu­lations.

Statistics mode: @m1
Used to perform statistical calculations.

When executing mode selection, temporary memories, sta­tistical data and last answer memory will be cleared even
when reselecting the same mode.

Selecting the Display Notation and Decimal
Places

The calculator has four display notation systems for dis­playing calculation results. When FIX, SCI, or ENG sym­bol is displayed, the number of decimal places can be set
to any value between 0 and 9. Displayed values will be
reduced to the corresponding number of digits.

100000÷3=
[Floating point] N100000/3= 33333.33333
→[Fixed decimal point] @f 33333.33333
[TAB set to 2] @i 2 33333.33

→[SCIentific notation] @f 3.33×10
→[ENGineering notation] @f 33.33×10
→[Floating point] @f 33333.33333

• If the value for floating point system does not fit in the

INITIAL SETUP

4

3

following range, the calculator will display the result
using scientific notation system:

0.000000001 ≤ | x | ≤ 9999999999

Determination of the Angular Unit

In this calculator, the following three angular units can be
specified.

DEG (°)

Press G

GRAD (g) RAD

(Radians)

SCIENTIFIC CALCULATIONS

• Press @ m 0 to select the normal mode.

• In each example, press N to clear the display.

• If the FIX, SCI, or ENG indicator is displayed, clear the

indicator by pressing @ f. (See page 5)

Arithmetic Operations/Constant Calculations

45+285÷3= N 45 + 285 / 3 =

18+6

=

15–8 ( 1 5 - 8 = *
42×(–5)+120= 42 *– 5 + 120 =
(5×103)÷(4×10–3)= 5 E 3 / 4 E

34+57= 34 + 57 = *
45+57= 45 =

68×25= 68 * 25 = *
68×40= 40 =

1

*

The closing parenthesis ) just before = or ;
may be omitted.

2

The addend becomes a constant. Subtraction and divi-

*

sion are performed in the same manner.

3

The multiplicand becomes a constant.

*

( 18 + 6 )/

– 3 =

1

2

3

– 6 –

140.

3.428571429
–90.

1250000.

91.

102.

1700.

2720.

When performing calculations using constants, constants
will be displayed as K.

Functions

• Before starting calculations, specify the angular unit.
(See page 6)

sin60[°]= Ns 60 =

π

cos–[rad]=

4

tan–11=[g] G@T 1 =

Gu (V/ 4
)=

G

• The results of inverse trigonometric functions are dis­played within the following range:

θ = sin–1 x, θ = tan–1 x θ = cos–1 x

DEG –90 ≤ θ ≤ 90 0 ≤ θ ≤ 180

RAD – — ≤ θ ≤
GRAD –100 ≤ θ ≤ 100 0 ≤ θ ≤ 200

(cosh 1.5 + N(hu 1.5

2

sinh 1.5)

= +hs 1.5 )

5

tanh–1– =

7

ln 20 = @I 20 =
log 50 = @l 50 =

e3 = @e 3 =

1.7

10

= @¡ 1.7 =

••••

π

π

—

2

2

@L=
@Ht( 5

/ 7 )=

– 7 –

0.866025403

0.707106781

50.

0 ≤ θ ≤ π

20.08553692

0.895879734

2.995732274

1.698970004

20.08553692

50.11872336

••••

171

– + – =

6

8–2 – 34× 52 =8 ™ – 2 - 3 ™

1
4

(123)–=

√49 –4√81 = @⁄ 49 - 4 @$

4! = 4 @!=

= 10 @q 3 =

10P3

=5 @Q 2 =

5C2

500×25%= 500 * 25 @%
120 ÷400=?% 120 / 400 @%
500+(500×25%)= 500 + 25 @%
400–(400×30%)= 400 - 30 @%

6 @•+ 7 @

•=

4 * 5 @L=
12 ™ 3 ™ 4

@•=

81 =

0.309523809

–2024.984375

6.447419591

24.

720.

10.

125.

30.

625.

280.

Random Numbers

A pseudo-random number with three significant digits can
be generated by pressing @ ` =. To generate
the next random number, press =. You can perform
this function in the normal and statistics modes.

• Random numbers use memory Y. Each random number
is generated on the basis of the value stored in memory
Y (pseudo-random number series).

Angular Unit Conversions

90°→ [rad] N 90 @g
→ [g] @g
→ [°] @g

••••
– 8 – – 9 –

1.570796327

100.

90.

••••

sin–10.8 = [°] @S 0.8 =

→ [rad] @g
→ [g] @g
→ [°] @g

Memory Calculations

This calculator has two temporary memories (X and Y),
one independent memory (M) and one last answer
memory. Independent memory and temporary memories
are only available in the normal mode.

4.

[Temporary memories (X and Y)]
A stored value can be recalled as a value or variable for
the use in equations.

• In case you store an infinite decimal in the memory,
recall it as a variable to obtain accurate answers.

Ex.) 1 / 3 O Y (0.3333...is stored to Y)

3 * R Y =
3 * @ K Y =

[Independent memory (M)]
In addition to all the features of temporary memories, a
value can be added to or subtracted from an existing
memory value.

[Last answer memory (ANS)]
The calculation result obtained by pressing = or any
other calculation ending instruction is automatically stored
in the last answer memory.

Note:
Calculation results from the functions indicated below are
automatically stored in memories X or Y. For this reason,
when using these functions, be careful with the use of
memories X and Y.

• Random numbers .................. Y memory

• →rθ, →xy ............................... X memory, Y memory

Temporary memories and last answer memory are cleared
even when the same mode is reselected.

See page 4 for additional reference.

53.13010235

0.927295218

59.03344706

53.13010235

0.999999999

24÷(8×2)= 24 /RM=
(8×2)×5= RM* 5 =

$150×3:M1 150 * 3 ;
+)$250:M2 =M1+250 250 ;
–)M2×5%:Discount R M * 5 @ %
Total=M @:RM

$1= ¥140 140 OY
¥33,775=$? 33775 /RY=
$2,750=¥? 2750 *RY=

r = 3cm 3 OY
πr2 = ? V@K *
(r → Y) Y@L=

1.

24

= 2.4...(A)

4+6

3×(A)+60÷(A)=

N 8 * 2 OM

NOM

24 /( 4 + 6 )
=
3 *?+ 60 /
?=

* Entry of the multiplication procedure is omitted between

"π" and a variable.

Chain Calculations

This calculator allows the preivious calculation result to be
used in the following calculation.

6+4=ANS N 6 + 4 =
ANS+5 + 5 =

44+37=ANS 44 + 37 =

√

= @⁄=

ANS

The previous calculation result will not be recalled after
entering multiple instructions.

– 10 –

16.

1.5

80.

0.

450.

250.

35.

665.

140.

241.25

385000.

3.

28.27433388

2.4

32.2

10.

15.

81.

9.

Fraction Calculations

• A decimal number, variable, or exponent cannot be
entered as a fraction.

• In all cases, a total of up to 10 digits including integer, nu­merator, denominator and the symbol (l) can be entered.
If the number of digits to be displayed is greater than 10, the

•
number is converted to and displayed as a decimal number.

b

4

1

3– + – = [a–]

c

3

2

→[a.xxx] \
→[d/c] @|

2
3

10 =

2

1.25 + – = [a.xxx]

5

b

→[a–]

c

*

4 l5 l6

=4–

5
6

N 3 \ 1 \ 2 +
4 \ 3 =

4.833333333

@¡ 2 \ 3
=

4.641588834

1.25 + 2 \ 5 =
\

4 l5 l6

29 l6

1.65

1 l13 l20

Time, Decimal and Sexagesimal Calculations

Conversion between decimal and sexagesimal numbers
can be performed. In addition, the four basic arithmetic
operations and memory calculations can be carried out
using the sexagesimal system.

12°39’18”05 N 12 o 39 o 18.05 o
→ [10] @_

123.678 → [60] 123.678 @_

3h30m45s + 3 o 30 o 45 o+ 6 o
6h45m36s = [60] 45 o 36 o=

3h45m – 3 o 45 o- 1.69 =

1.69h = [60] @_

sin62°12’24” = [10] s 62 o 12 o 24 o

=

– 11 –

12.65501389

123°40’40.80

10°16’21.00

2°03’36.00

0.884635235

Coordinate Conversions

• Before performing a calculation, select the angular unit.
(See page 6)

X

↔

Y

P (r,θ )

r

θ

0

Polar coord.

X

Y

P (x,y )

y

0

x

Rectangular coord.

*

• The calculation result is automatically stored in memo­ries X and Y.
Value of r or x: X memory
Value of θ or y: Y memory





x = 6 r =



→



y = 4 θ = [°]





N 6 @, 4
@{[

r

]

@≠[θ]
@≠[r]




→



θ = 36[°] y =




@}[x]
@≠[y]

14 @, 36



r = 14 x =

@≠[x]

STATISTICAL CALCULATIONS

Press @ m 1 to select statistics mode.
The following statistics can be obtained:

x Mean of samples (x data)

sx Sample standard deviation (x data)

σ

x Population standard deviation (x data)

n Number of samples

Σ

x Sum of samples (x data)

2

Σ

x

Sum of squares of samples (x data)

– 12 – – 13 – – 14 – – 15 –

7.211102551

33.69006753

7.211102551

11.32623792

8.228993532

11.32623792

Entered data are kept in memory until @ c or
@ m 1 are pressed. Before entering new data,

clear the memory contents.

[Data Entry]

Data

k

Data

§

frequency

k (To enter multiples of the

same data)

[Data Correction]
Correction prior to pressing k:

Delete incorrect data with N.

Correction after pressing k:

Press > to confirm the latest entry and press @
J to delete it.

Score

95
80
80
75
75
75
50

x=
σx=
Σx=

2

Σx

sx=

2

sx

=

=

@m1

95 k
80 k

k

75 § 3 k
50 k

R~
Rp
Rz
Rw
R£
@L=

75.71428571

12.37179148

530.

41200.

13.3630621

178.5714286

Statistical Calculation Formulas

2

x =

sx =

Σx

n

2

2

Σx

– nx

n – 1

σx =

Σx = x1 + x2 + ··· + x
Σx2 = x

2

Σx

– nx

n

2

+ ··· + x

2

n

2

n

2

+ x

1

(n: Number of samples)

In the statistical calculation formulas, an error will occur when:

• the absolute value of the intermediate result or calcula-

tion result is equal to or greater than 1 × 10

• the denominator is zero.

• an attempt is made to take the square root of a negative
number.

100

ERROR AND CALCULATION RANGES

1. Errors

An error will occur if an operation exceeds the calculation
ranges, or if a mathematically illegal operation is attempted.
When an error occurs, pressing < (or >) automati­cally moves the cursor back to the place in the equation
where the error occurred. Edit the equation (see page 4)
or press

N to clear the equation.

2. Error Codes and Error Types

0.

1.

Syntax error (Error 1):

2.

• An attempt was made to perform an invalid operation.

3.

6.

7.

Ex. 2 @{

Calculation error (Error 2):

• The absolute value of an intermediate or final calculation
result equals or exceeds 10

• An attempt was made to divide by 0.

• The calculation ranges were exceeded while performing
calculations.

Depth error (Error 3):

• The available number of buffers was exceeded. (There are 8
buffers* for numeric values and 16 buffers for calculation
instructions). *4 buffers in STAT mode.

Equation too long (Error 4):

• The equation exceeded its maximum input buffer (159 char­acters). An equation must be shorter than 159 characters.

100

.

3. Calculation Ranges

.

• Within the ranges specified below, this calculator is
accurate to ±1 in the least significant digit of the
mantissa. When performing continuous calculations (in­cluding chain calculations), errors accumulate leading
to reduced accuracy.

• Calculation ranges

-99

~ ±9.999999999×1099 and 0.

±10
If the absolute value of an entry or a final or intermediate
result of a calculation is less than 10
sidered to be 0 in calculations and in the display.

–99

, the value is con-

Function Dynamic range

DEG: | x | < 10

sin x, cos x, RAD: | x | < ––– × 10
tan x (tan x : | x | ≠ – (2n–1))*

GRAD: | x | < —– × 10

10

(tan x : | x | ≠ 90 (2n–1))*

π

10

180

(tan x : | x | ≠ 100 (2n–1))*

π

2

10

10

9

sin–1x, cos–1x | x | ≤ 1

tan–1x, 3¿x | x | < 10
In x, log x 10

x

y

x

¿y • y = 0: 0 < x < 10

x

e

x

10

100

–99

• y > 0: –10

• y = 0: 0 < x < 10

• y < 0:

x = n (0 < | x | < 1: – = 2n–1, x ≠ 0)*,
–10

• y > 0: –10

• y < 0: x = 2n–1

–10

–10

100

≤ x < 10

100

< x log y < 100

100

1

100

< x log | y | < 100

100

< x ≤ 230.2585092

100

< x < 100

x

1

100

< – log y < 100 (x ≠ 0)

x

100

(0 < | x | < 1 : – = n, x ≠ 0)*,

1

100

–10

< – log | y | < 100

x

1

x

Function Dynamic range

sinh x, cosh x,

| x | ≤ 230.2585092

tanh x

sinh–1 x | x | < 10
cosh–1 x 1 ≤ x < 10

50

50

tanh–1 x | x | < 1

2

x

¿x 0 ≤ x < 10

–1

x

| x | < 10

| x | < 10

50

100

100

(x ≠ 0)

n! 0 ≤ n ≤ 69*

0 ≤ r ≤ n ≤ 9999999999*

nPr

n!

—– < 10

(n-r)!

100

0 ≤ r ≤ n ≤ 9999999999*

nCr

↔DEG, D°M’S

x, y → r, θ√

r, θ → x, y

0 ≤ r ≤ 69

n!

100

—– < 10

(n-r)!

0°00’00.01 ≤ | x | < 10000°

100

2

2

< 10

x

+ y

100

0 ≤ r < 10
DEG: | θ | < 10
RAD: | θ | < —– × 10
GRAD : | θ | < –– × 10

180
10

10

π

9

DEG→RAD,

DRG | GRAD→DEG: | x | < 10

RAD→GRAD: | x | < – × 10

* (n, r: integer)

– 16 –

BATTERY REPLACEMENT

Notes on Battery Replacement

Improper handling of batteries can cause electrolyte leak­age or explosion. Be sure to observe the following han­dling rules:

• Replace both batteries at the same time.

• Do not mix new and old batteries.

• Make sure the new batteries are the correct type (LR44).

• When installing, orient each battery properly as indi­cated in the calculator.

• Batteries are factory-installed before shipment, and may
be exhausted before they reach the service life stated in
the specifications.

When to Replace the Batteries

If the display has poor contrast, the batteries require re­placement.

Caution

• Keep batteries out of the reach of children.

• Exhausted batteries left in the calculator may leak and
damage the calculator.

• Explosion risk may be caused by incorrect handling.

• Batteries must be replaced only with others of the same
type.

10

10

100

π

98

2

• Do not throw batteries into a fire as they may explode.

Replacement Procedure

1. Turn the power off by pressing @ F.
Loosen both screws and remove the battery cover. (Fig. 1)

2.

Fig. 1 Fig. 2

4. Replace the battery cover and screws.

5. Press the RESET switch (on the back).

• Make sure that the display appears as shown below. If
the display does not appear as shown, reinstall the
batteries and check the display once again.

Automatic Power Off Function

This calculator will turn itself off to save battery power if no
key is pressed for approximately 10 minutes.

SPECIFICATIONS

Calculations: Scientific calculations, statistical

Internal calculations: Mantissas of up to 12 digits
Pending operations: 16 calculations 8 numeric values

Power source: 3V

Power consumption: 0.0006 W
Operating time: Approx. 2500 hours

Operating temperature: 0°C – 40°C
External dimensions: 71.5 mm (W) × 124 mm (D) ×

Weight: Approx. 57 g 0.126 lb

calculations, etc.

(4 numeric values in STAT mode)

...

(DC):

Alkaline batteries (LR44) × 2

when continuously displaying

55555. at 25°C.
Varies according to use and other
factors.

9.5 mm (H)
2-13/16” (W) × 4-7/8” (D) × 3/8” (H)

(Including batteries)

This equipment complies with the requirements of Directive
89/336/EEC as amended by 93/68/EEC.

Dieses Gerät entspricht den Anforderungen der EG-Richtlinie
89/336/EWG mit Änderung 93/68/EWG.

Ce matériel répond aux exigences contenues dans la directive
89/336/CEE modifiée par la directive 93/68/CEE.

Dit apparaat voldoet aan de eisen van de richtlijn 89/336/
EEG, gewijzigd door 93/68/EEG.

Dette udstyr overholder kravene i direktiv nr. 89/336/EEC
med tillæg nr. 93/68/EEC.

Quest’ apparecchio è conforme ai requisiti della direttiva 89/
336/EEC come emendata dalla direttiva 93/68/EEC.

¸ езлбфАуфбуи бщфЬ бофбрплтЭоефбй уфйч брбйфЬуейч
фцо пдизйсо фич ¶щтцрбылЬч ¶оцуич 89/336/¶Гº,
Юрцч п лбопойунЮч бщфЮч ущнрмитсхиле брЮ фио
пдизЭб 93/68/¶Гº.

Este equipamento obedece às exigências da directiva 89/336/
CEE na sua versão corrigida pela directiva 93/68/CEE.

Este aparato satisface las exigencias de la Directiva 89/336/
CEE modificada por medio de la 93/68/CEE.

Denna utrustning uppfyller kraven enligt riktlinjen 89/336/
EEC så som kompletteras av 93/68/EEC.

Dette produktet oppfyller betingelsene i direktivet 89/336/
EEC i endringen 93/68/EEC.

Tämä laite täyttää direktiivin 89/336/EEC vaatimukset, jota
on muutettu direktiivillä 93/68/EEC.

Accessories: Batteries × 2 (installed), opera-

tion manual, and hard case

3. Remove the used batteries then replace with two fresh
batteries with the positive sides (+) facing up. (Fig. 2)

– 17 –

– 18 – – 19 –

– 20 –