Citizen SR-260N User Manual

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Citizen SR-260N User Manual

Contents

 

General guide ....................................................................

2

Power supply ...................................................................................

2

The keyboard...................................................................................

2

Display symbols...............................................................................

3

Display formats ................................................................................

3

Order of operations..........................................................................

4

Correction ........................................................................................

5

Accuracy and Capacity ....................................................................

5

Overflow / Error conditions...............................................................

7

Basic calculation ...............................................................

8

Mixed arithmetic calculation.............................................................

8

Parentheses calculations .................................................................

8

Constant calculation.........................................................................

8

Percentage calculation.....................................................................

9

Memory calculation..........................................................................

9

Scientific calculation.......................................................

10

Reciprocal, Factorial ......................................................................

10

Square, Square / Cubic Root, Power, Root ...................................

10

Logarithms and Antilogarithms ......................................................

10

Fraction calculation........................................................................

10

Angular units conversion................................................................

11

Trigonometric / Inverse trigonometric functions .............................

11

Hyperbolic / Inverse hyperbolic functions.......................................

12

Rectangular / Polar coordinates.....................................................

12

Permutations, Combinations..........................................................

13

Sexagesimal ↔ Decimal form conversion .....................................

13

Base-n mode calculation................................................................

14

Complex numbers calculation........................................................

14

Random numbers and Exchange key............................................

15

Unit conversion ..............................................................................

15

Statistics calculation.......................................................

15

Computing single variable statistics...............................................

15

Viewing statistics data....................................................................

17

Adding a data entry........................................................................

17

Editing statistics data .....................................................................

18

Delete error....................................................................................

18

Weighted data entry method..........................................................

19

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General guide

Power supply

On or Off :

To turn the calculator on, press [ON/C]; to turn the calculator off, press

[2ndF] [OFF].

Auto power-off function :

This calculator automatically turns off it when not operated for approximately 9 minutes. Power can be restored by pressing the [ON/C] key again. Memory contents and the previous mode setting

(STAT, DEG, CPLX, Base-n,…) are retained even when power is turned off or auto power-off.

Battery replacement :

The calculator is powered by two alkaline batteries (G13 or LR44).

When the display dims, replace the batteries. Be careful not to be injured when you replace the battery.

1.Unscrew the screws on the back of the calculator.

2.Insert a flat bladed screwdriver into the slot between the upper and lower case then carefully twist it to separate the case.

3.Remove both batteries and dispose of them properly. Never allow children to play with batteries.

4.Wipe off the new batteries with a dry cloth to maintain good contact.

5.Insert the two new batteries with their flat sides (plus terminals) up.

6.Align the upper and lower cases then snap them to close together.

7.Tighten the screws.

The keyboard

Many of the calculator’s keys are used to perform more than one function. The functions marked on the keyboard are printed differently to help you find the one you need quickly and easily.

2nd function ───── sin–1

1st function ─── sin

1st functions

Those are the functions that are normally executed when you press the key.

2nd functions

The second function is printed above or to the right of the key. To execute 2nd functions key, please press [ 2ndF ] then the corresponding key. When you press [ 2ndF ], the “2ndF” indicator shown in the display is to tell you that you will be selecting the second function of the next key you press. If you press [ 2ndF ] by mistake, simply press [ 2ndF ] again to remove the “2ndF” indicator.

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(Note) : [ A ], [ B ], [ C ], [ D ], [ E ], [ F ] are 1st functions in HEX mode.

Display symbols

Indicators shown on the display is to indicate you the current status of the calculator.

DEG or RAD or GRAD : angular unit

M :

Independent memory

CPLX :

Complex number mode

E :

Overflow / Error

STAT :

Statistical mode

:

minus

2ndF :

[2ndF] key pressed

( ) :

Parenthesis calculation

CP :

Precision capability

BIN : Binary mode

CPK :

Process capability

OCT : Octal mode

σ :

Deviation

HEX : Hexadecimal mode

USL :

Setting upper limit

ED :

Edit mode

LSL :

Setting lower limit

HYP : Hyperbolic mode

Display formats

The calculator can display numbers in four formats : floating point, fixed point, scientific, and engineering.

Floating point display format

The floating point format displays numbers in decimal form, using up to 10 digits. Any trailing zeros are truncated.

If the result of a calculation is too large to be represented in 10 digits, the display automatically switches to scientific format. If the result of later calculations is small enough to be displayed in 10 digits, the calculator returns to floating point format.

(Ex.) : Set the display in floating display format.

Step: Press [ 2ndF ] [ TAB ] [ ● ]

 

DEG

 

 

0.

 

 

 

Fixed point display format

The fixed point, scientific, and engineering formats use a fixed number of decimal places to display numbers. If more than the selected number of decimal places is keyed, it will be rounded to the correct number of decimal places.

(Ex.) : Fix the display at 2 decimal places, then key in 3.256

Step 1: Press [ 2ndF ] [ TAB ] 2

Step 2: key in 3.256 [ = ]

DEG

0. 0 0

DEG

3. 2 6

On the contrary, if fewer than the selected number of decimal places is keyed, it will be padded with trailing zero.

(Ex.) : Fix the display at 4 decimal places, then key in 4.23

Step 1: Press [ 2ndF ] [ TAB ] 4

DEG

0. 0 0 0 0

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DEG

 

Step 2: key in 4.23 [ = ]

4. 2 3

0 0

Scientific display format

 

 

 

In Scientific display format, the number 891500 can be

shown in

scientific format as 8.915 x 10 05, where 8.915 is called the mantissa and 5 is as the exponent of 10.

(Ex.) : 7132 x 125 is displayed in scientific display format.

Step 1: key in 7132 [ x ] 125 [ = ]

 

DEG

 

 

 

 

 

 

8

9

1

5

0

0.

 

 

 

Step 2: press [ F↔E ]

 

DEG

 

 

 

 

05

 

 

 

8. 9

1

5

 

 

 

 

 

 

(in floating point format)

Besides, entry can be made in scientific notation by using the [EXP] key after entering the mantissa.

(Ex.) : Key the number 4.82296 x 10 5

Step :key in 4.82296 [ EXP ] 5

 

DEG

 

 

 

05

4. 8

2

2

9

6

 

 

 

(in floating point format)

Engineering display format

The format is similar to the scientific format, expect the mantissa can have up to three digits left of the decimal, instead of only one, and the exponent is always a multiple of three. It is useful for engineers to convert units based on multiples of 10 3.

(Ex.) : Convert 15V into 15000mV

(V : Volt)

 

 

 

 

 

Step 1: key in 15

 

DEG

 

 

1

5.

 

 

 

 

 

 

 

 

 

 

 

 

Step 2: press [ ENG ] twice

 

DEG

 

 

 

 

−03

1

5

0

0

0.

 

 

 

(Ex.) : Convert 15V into 0. 015KV

 

(V : Volt)

 

 

 

 

 

Step 1: key in 15

 

DEG

 

 

1

5.

 

 

 

 

 

 

 

 

 

 

 

 

Step 2: press [ 2ndF ] [ Å ] twice

 

DEG

 

 

 

03

 

 

0. 0

1

5

 

 

 

 

 

Order of operations

Each calculation is performed in the following order of precedence :

1)Operation in parenthesis.

2)Functions required pressing the function key before entering, for example, [ DATA ] in STAT mode and [ EXP ] key.

3)Functions required inputing values before pressing the function

key, for example, cos, sin, tan, cos−1, sin−1, tan−1, log, ln, x2, 1/x,

, π, 3, x!, %, RND, ENG,

,

, and 6 units

conversion.

 

 

4)Fractions

5)+/–

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6) x y, y x

7)nPr, nCr

8)x , ÷

9)+, –

Correction

If you have made a mistake when entering a number (but you have not yet pressed an arithmetic operator key), just press [ CE ] to clear the last entry then input it again, or delete individual digits by using the backspace key [ 00Æ0 ].

(Ex.) : Correct 12385 as 789

Step: Press [ CE ] 789

(Ex.) : Correct 12385 as 123

DEG

7 8 9.

Step: Press [ 00Æ0 ] twice

DEG

1 2 3.

In a series of calculations, you can correct errors in immediate results by pressing [ON/C] to clear the calculation completely (expect clearing memory, see page 9).

If you press the wrong arithmetic operation key, just press [ CE ] key before entering anything else.

Accuracy and Capacity

Accuracy : ±1 in 10th digit.

Capacity :

In general, every reasonable calculation is displayed up to 10 digit mantissa, or 10-digit mantissa plus 2-digit exponent up to 10±99 or integers between −9999999999 and 9999999999.

Numbers used as input must be within the range of the given function.

The range for each of the calculator’s functions is given in the following pages.

Functions

 

Input range

sin x, cos x, tan x

Deg : | x | < 4.5 x 10 10deg

 

Rad : | x | < 2.5 x 10 8 π rad

 

Grad : | x | < 5 x 10 10 grad

 

however, for tan x

 

Deg : | x | ≠ 90 (2n+1)

 

Rad : | x | ≠ π

(2n+1)

 

2

 

 

Grad : | x | ≠ 100 (2n+1)

 

(n is an integer)

 

sin –1 x, cos –1 x

| x | ≤ 1

 

 

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tan –1 x

| x | < 1 x 10 100

 

 

 

 

sinh x, cosh x

| x | ≤ 230.2585092

 

 

 

 

 

 

 

 

 

 

tanh x

| x | <

1 x 10 100

 

 

 

 

sinh –1 x

| x | <

5 x 10 99

 

 

 

 

cosh –1 x

1 ≤ x < 5 x 1099

 

 

 

tanh –1 x

| x | <

1

 

 

 

 

 

 

log x, ln x

1 x 1099

≤ x <

1 x 10100

 

 

 

10X

–1 x 10 100 < x <

100

 

 

 

eX

–1 x 10 100 < x ≤ 230.2585092

 

x

0 ≤ x < 1 x 10 100

 

 

 

 

 

 

 

 

 

 

x 2

| x | <

1 x 10 50

 

 

 

 

1 / x

| x | <

1 x 10 100, x ≠ 0

 

 

 

 

 

 

 

 

 

 

3 x

| x | <

1 x 10 100

 

 

 

 

x !

0≤ x

≤ 69, x is an integer.

 

 

 

 

 

 

 

 

 

RÆP

x 2 + y 2

< 1 x 10 100

 

 

 

PÆR

0 ≤ r < 1 x 10 100

 

 

 

 

Deg : |θ| <

4.5 x 10 10deg

 

 

 

 

Rad : |θ| <

2.5 x 10 8 πrad

 

 

 

 

Grad : |θ| < 5 x 10 10 grad

 

 

 

 

however, for tan x

 

 

 

 

Deg : |θ| ≠ 90 (2n–1)

 

 

 

 

Rad : |θ|

π

(2n–1)

 

 

 

 

 

 

 

2

 

 

 

 

 

Grad : |θ| ≠ 100 (2n–1) (n is an integer)

 

 

 

 

 

| DD |, MM, SS.SS < 1 x 10 100,

 

 

0 ≤ MM, SS.SS

 

 

 

 

 

 

 

 

 

 

| x | < 1 x 10 100

 

 

 

 

x y

x > 0 : –1 x 10 100 < y log x < 100

 

x = 0 : y > 0

 

 

 

 

 

 

x < 0 : y = n, 1/(2n+1), n is an integer.

 

but

–1 x 10 100 < y log | x | <100

y x

x > 0 : y ≠ 0, –1 x 10 100 <

1

 

log x <100

y

 

x = 0 : y > 0

 

 

 

 

 

 

 

 

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x < 0 : y = 2n+1, I/n, n is an integer. (n ≠ 0)

 

 

but –1 x 10 100 <

1

log | x | <100

 

 

y

 

 

 

 

 

 

 

a b

c

Input Total of integer, numerator and

 

denominator must be within 10 digits

 

 

 

 

(includes division marks)

 

 

Result Result displayed as fraction for

 

 

integer when integer, numerator and

 

 

denominator are less than 1 x 10 10

nPr, nCr

0rn, n9999999999, n, r are integers.

STAT

x1x10 50,│Σx1 x 10 100

0│Σx21 x 10 100, n, r are integers

xn0,S n 1n 0

 

Range = 1 ~ r, 1 ≤ n ≤ r, 80 ≤ r ≤ 20400

 

 

 

ÆDEC

0 x 9999999999

(for zero or positive)

 

– 9999999999 ≤ x ≤ –

1 (for negative)

 

 

 

ÆBIN

0 x 0111111111

(for zero, positive)

 

1000000000 x 1111111111

 

(for negative)

 

ÆOCT

0 x 3777777777

(for zero or positive)

 

4000000000 x 7777777777

 

(for negative)

 

ÆHEX

0 x 2540BE3FF( for zero or positive)

 

FDABF41C01 x FFFFFFFFFF

 

(for negative)

 

Overflow / Error conditions

A symbol “ E “ are indicated on the display when any of the following conditions occur and further calculation becomes impossible. Just press [ ON/C ] to release those overflow or error indicator and the subsequent calculation can then be performed.

1)When function calculations are performed with a number exceeding the input range.

2)When a number is divided by 0.

3)When the [ ( ] key is used more than 15 times in a single expression.

4)When a result (whether intermediate or final) or accumulated total in memory exceeds the limit. ( ±9.999999999 x 10 99)

5)When more than six pending operations.

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Basic calculation

Before performing the following calculation, check to see that your calculator is in decimal base and floating point display.

Mixed arithmetic calculation

1 + 2 x 3 = ?

1 [ + ] 2 [ x ] 3 [ = ]

 

DEG

 

7.

 

 

 

 

 

– 3.5 + 8 ÷ 2 = ?

3.5 [ +/– ] [ + ] 8 [ ÷ ] 2 [ = ]

 

DEG

 

0. 5

 

 

 

 

 

Parentheses calculations

Operation inside parentheses are always executed first. You can use up to 15 levels of parentheses in a single calculation. When the first parenthesis is opened, the “ ( ) ” indicator appears and remains in the display until the last parenthesis is closed.

( 5 – 2 x 1.5 ) x 3

[ ( ] 5 [–] 2 [ x ] 1.5 [ ) ] [ x ]

 

DEG

 

+ 0.8 x (– 4 ) = ?

3

[ + ] 0.8 [ x ] 4 [ +/– ] [ = ]

2.

8

2 x { 7 + 6 x ( 5 +

2

[ x ] [ ( ] 7 [ + ] 6 [ x ] [ ( ]

 

DEG

 

4 ) } = ?

5 [ + ] 4 [ = ]

1 2

2.

(Note) : It is unnecessary to press the [ ) ] key before the [ = ] key.

Constant calculation

The calculator enables you to repeat the last number entered or the last operation executed by pressing [ = ] key.

Repeating the last number

 

 

 

 

3 [ x ] [ = ]

 

DEG

 

 

9.

 

3 x 3 = ?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

DEG

 

 

 

 

3 x 3 x 3 = ?

 

 

 

[ = ]

 

 

2

7.

 

 

 

 

 

 

 

 

3 x 3 x 3 x 3 = ?

 

 

 

 

 

 

 

[ = ]

 

DEG

 

8

1.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Repeating the arithmetic operation

 

 

 

 

 

321 + 357 = ?

 

 

 

321 [ + ] 357 [ = ]

 

DEG

6

7

8.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

654 + 357 = ?

 

 

 

654 [ = ]

 

DEG

 

 

 

 

 

 

 

 

 

1

0

1

1.

 

 

 

 

 

 

 

 

579 – 159 = ?

 

 

 

579 [–] 159 [ = ]

 

DEG

4

2

0.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

456 – 159 = ?

 

 

 

456 [ = ]

 

DEG

2

9

7.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

18 x 45 = ?

 

 

 

3 [ x ] 6 [ x ] 45 [ = ]

 

DEG

8

1

0.

 

 

 

 

 

 

 

18 x 23 = ?

 

 

 

 

 

 

 

 

 

 

23 [ = ]

 

DEG

4

1

4.

 

18 x (0.5 x 10

2

)

 

 

 

 

 

 

 

 

 

 

 

 

 

DEG

 

 

 

 

= ?

 

 

 

0.5 [ EXP ] 2 [ = ]

 

9

0

0.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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96 ÷ 8 = ?

96 [ ÷ ] 8 [ = ]

 

DEG

1

2.

 

 

 

 

75 ÷ 8 = ?

 

 

 

 

 

75 [ = ]

 

DEG

 

 

 

(1.2 x 102) ÷ 8

9. 3

7

5

 

 

 

 

1.2 [ EXP ] 2 [ = ]

 

DEG

 

 

 

= ?

 

1

5.

 

 

 

 

 

 

 

 

 

 

Percentage calculation

 

 

 

 

 

30% of 120 = ?

120

[ x ] 30 [ 2ndF ] [ % ]

 

DEG

3

6.

 

[ = ]

 

 

 

 

70% of 120 = ?

 

 

 

 

 

 

 

70 [ 2ndF ] [ % ] [ = ]

 

DEG

8

4.

 

 

 

 

 

 

 

 

 

 

 

88 is 55% of

88 [ ÷ ] 55 [ 2ndF ] [ % ]

 

DEG

 

 

 

what number =?

[ = ]

 

1

6

0.

 

30% add-on of

120

[ + ] 30 [ 2ndF ] [ % ]

 

DEG

 

 

 

120= ?

[ = ]

 

1

5

6.

 

30% discount of

120

[–] 30 [ 2ndF ] [ % ]

 

DEG

8

4.

 

120 = ?

[ = ]

 

 

 

 

Memory calculation

You should keep the following rules in mind when performing memory calculations.

1)The “ M “ indicator appears when a number is stored in the memory.

2)Recalling from a memory by pressing [ MR ] key does not affect its contents.

3)All memories are unavailable under STAT mode.

4)In order to exchange the content of the memory for the displayed number, please press [XÆM] key.

5)The contents of the memories can be cleared by pressing [ 0 ] [XÆM] or [ ON/C ] [XÆM] in sequence.

 

 

[ ON/C ] [XÆM]

 

DEG

0.

 

 

 

 

 

 

 

 

 

 

 

 

 

3 x 5

 

3 [ x ] 5 [ M+ ]

 

DEG

 

 

 

M

1

5.

 

 

 

 

 

+) 56 ÷ 7

 

56 [ ÷

] 7 [ M+ ]

M

DEG

8.

 

 

 

 

+) 74 – 8 x 7

 

 

 

 

 

 

74 [–] 8 [ x ] 7 [ M+ ]

 

DEG

 

 

Total = ?

 

 

 

 

 

M

1

8.

 

 

 

 

 

 

 

[ MR ]

 

 

DEG

 

 

 

 

 

M

4

1.

 

 

 

 

 

 

 

 

0 [XÆM]

 

DEG

0.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Scientific calculation

Before performing the following calculation, check to see that your calculator is fixed at 2 decimal places display format.

Reciprocal, Factorial

 

1

= ?

1.25 [ 2ndF ] [1/x] [ = ]

 

DEG

 

0. 8

0

 

 

 

 

 

1.25

 

 

 

 

 

 

5 [ 2ndF ] [ x! ] [ = ]

 

DEG

 

 

 

 

5! = ?

 

 

 

 

 

 

1

2

0. 0

0

 

 

 

 

 

 

 

Square, Square / Cubic Root, Power, Root

2 2 + 3 4 = ?

 

2

[ x 2 ] [ + ] 3 [ x y ] 4 [ = ]

DEG

5. 0

0

 

 

 

 

[ x ] 27 [ 2ndF ] [ 3]

8

5 x 3 27

+

34

5

DEG

 

 

= ?

 

 

[ + ] 34 [ ] [ = ]

2 0. 8

3

9 72 = ?

 

 

72 [ 2ndF ] [ y x ] 9 [ = ]

DEG

1. 6

1

 

 

 

 

 

 

 

 

 

Logarithms and Antilogarithms

ln7 + log100 = ?

7

[ ln ] [ + ] 100 [ log ] [ = ]

 

DEG

 

3.

9

5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

10 2 = ?

 

2

[ 2ndF ] [ 10 X ] [ = ]

 

DEG

0

0.

0

0

 

 

 

 

 

 

 

 

 

1

 

e

5

– e

– 2

= ?

5

[ 2ndF ] [ e X ] [–] 2 [ +/– ]

 

DEG

 

 

 

 

 

 

 

[ 2ndF ] [ e X ] [ = ]

 

1

4

8.

2

8

 

Fraction calculation

Fraction value display is as follow :

5 12

56 5 12

Display of 125

Display of 56 125

(Note) : Total of integer, numerator and denominator must be within 10 digits, or the fractional value couldn’t be shown completely.

By pressing [ 2ndF ] [ d e ], the displayed value will be converted to the improper fraction.

 

2

 

+ 7

3

 

2 [ a b c ] 3 [ + ] 7

 

DEG

 

 

 

 

 

3

 

5

 

 

 

 

 

 

 

 

 

 

[ a b c ] 3 [ a b c ] 5

 

 

8 4 1 5

 

 

4

 

 

 

 

 

 

= 8

 

 

 

 

 

[ = ]

 

 

 

15

 

 

 

 

 

 

=

124

 

 

 

 

[ 2ndF ] [ d e ]

 

DEG

 

 

 

 

 

 

1 2 4 1 5

15

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

When a press of [ a b c ] key after the [ = ] key or a fraction performed with a decimal, the answer is displayed as a decimal.

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4

 

+ 3

3

 

5 [ a b

c

]

4 [ a b

c

]

9

 

DEG

5

 

 

 

 

 

[+] 3 [ a b

 

] 3

 

 

 

 

 

 

 

9

 

4

 

c

 

 

 

 

 

9 7 3 6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

= 9

7

 

 

 

[ a b c ] 4 [ = ]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

36

 

 

 

 

 

 

 

 

 

 

= 9.19

 

 

[ a b c ]

 

 

 

 

 

 

 

 

DEG

 

 

 

 

 

 

 

 

 

9. 1 9

 

8

4

 

 

+ 3.75

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

9

 

 

 

 

 

 

8 [ a b

c

]

4 [ a b

c

]

9

 

DEG

= 12.19

 

 

 

 

 

 

 

 

 

 

 

1 2. 1 9

 

 

 

[ + ] 3.75 [ = ]

 

 

 

 

During a fraction calculation, if the figure is reducible, a figure is reduced to the lowest terms after pressing a function command key

([ + ], [–], [ x ] or [ ÷ ]) or the [ = ] key.

3

119

=

8

2

3 [ a b

c

] 119

DEG

 

 

 

 

8 2 3

21

3

[ a b

c

] 21 [ = ]

 

 

 

 

 

 

 

 

 

 

If total of integer, numerator and denominator exceeds 10 digits (including division marks), the result answer will be displayed as a decimal.

12345

5

+

12345 [ a b c ] 5 [ a b c ]

 

 

DEG

 

 

 

 

16

 

 

 

 

 

 

 

 

16

[+] 5 [ a b

 

] 6 [ a b

 

]

 

 

 

 

6

= 12350.77

c

c

1 2 3 5 0. 7 7

 

5

13

[=]

 

 

 

 

 

 

 

 

 

 

13

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Angular units conversion

The calculator enables you to convert a angular unit among degrees(DEG), radians(RAD), and grad(GRAD).

The relation among the three angle units is : 180º =πrad = 200 grad

1)To change the default setting to another setting, press [ DRG ] key repeatedly until the angular unit you want is indicated in the display.

2)After entering an angle, press [ 2ndF ] [ DRGÆ] repeatedly until the converted value is displayed.

 

90

 

DEG

 

 

9

0.

 

90 º(deg)

 

 

 

 

 

 

 

 

 

 

 

= ? (rad)

[ 2ndF ] [ DRGÆ]

 

RAD

 

1.

5

7

 

 

 

 

 

= ? (grad)

 

 

 

 

 

[ 2ndF ] [ DRGÆ]

 

GRAD

 

 

 

 

 

 

1

0

0.

0

0

 

 

 

 

 

Trigonometric / Inverse trigonometric functions

When using those key, make sure the calculator is set for the angular unit you want.

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3 sin 85 º = ?

3 [ x ] 85 [ sin ] [ = ]

 

DEG

2. 9

9

 

 

 

 

 

 

 

 

 

 

cos (

π4

rad)

[DRG] [ 2ndF ] [π] [ ÷ ] 4

 

RAD

 

 

 

 

0. 7

1

= ?

 

 

 

 

[ = ] [ cos ]

 

 

 

 

 

 

 

 

 

 

 

tan 150grad = ?

[DRG] 150 [ tan ]

 

GRAD

 

 

 

– 1. 0

0

 

–1

 

 

 

 

 

sin

0.5 = ?

 

[DRG] 0.5 [ 2ndF ] [ sin –1

]

DEG

 

 

 

 

3

0. 0

0

deg

 

 

 

 

 

cos –1(

1

)

[DRG] 2 [ ] [ 2ndF ]

 

RAD

 

 

2

 

 

 

 

= ? rad

 

[ 1/x ] [ 2ndF ] [ cos – 1 ]

 

 

0. 7

9

 

 

 

 

 

 

 

tan –1 1 = ? grad

[DRG] 1 [ 2ndF ] [ tan –1 ]

 

GRAD

0. 0

0

 

 

 

 

 

 

 

5

Hyperbolic / Inverse hyperbolic functions

cosh1.5+sinh1.5

1.5

[ HYP ] [ cos ] [ + ]

 

 

DEG

 

 

 

=

1.5

[ HYP ] [ sin ] [ = ]

 

4. 4

8

 

sinh –1 7 =

7

[ HYP ] [ 2ndF ] [ sin –1 ]

 

DEG

6

4

 

 

 

 

 

 

2.

 

tanh 1 =

1

[ HYP ] [ tan ]

 

 

DEG

 

 

 

 

0.

7

6

 

 

 

 

 

 

 

Rectangular / Polar coordinates

 

 

 

 

 

 

Rectangular Coordinates

Polar Coordinates

 

 

a + b i = r (cos θ + i sin θ )

(Note) : When using those key, make sure the calculator is set for the angular unit you want.

Converting from Rectangular to Polar

If a = 5 and b = 6, what are r andθ?

5 [ a ] 6 [ b ] [ 2ndF ]

 

DEG

7.

8

1

 

[RÆP]

 

 

 

[ b ]

 

DEG

 

 

 

 

 

5

0.

1

9

 

 

 

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Converting from Polar to Rectangular

If r = 25 and θ

25 [ a ] 56 [ b ] [ 2ndF ]

 

DEG

 

 

 

 

1

3.

9

8

 

= 56°, what are

[PÆR]

 

 

 

DEG

 

 

 

 

a and b?

[ b ]

 

 

 

 

 

2

0.

7

3

 

 

 

 

Permutations, Combinations

nPr =

n !

nCr =

n

!

 

 

 

 

 

 

 

(n r ) !

r ! (n

r ) !

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

How many

 

 

 

 

 

 

DEG

 

 

 

 

permutations of

 

 

 

 

 

 

 

 

 

 

 

4 items can you

 

7 [ 2ndF ] [ nPr ] 4 [ = ]

 

8 4

0.

0

0

 

select out of a

 

 

 

 

 

 

 

 

 

set of numbers

 

 

 

 

 

 

 

 

 

 

 

of 7 items?

 

 

 

 

 

 

 

 

 

 

 

How many

 

 

 

 

 

 

DEG

 

 

 

 

combinations of

 

 

 

 

 

 

 

 

 

 

 

4 items can you

 

7 [ 2ndF ] [ nCr ] 4 [ = ]

 

3

5.

0

0

 

select out of a

 

 

 

 

 

 

 

 

 

set of numbers

 

 

 

 

 

 

 

 

 

 

 

of 7 items?

 

 

 

 

 

 

 

 

 

 

 

Sexagesimal Decimal form conversion

The calculator enables you to converts the sexagesimal figure (degree, minute and second) to decimal notation by pressing [ ] and converts the decimal notation to the sexagesimal notation by [2ndF] [ ].

Sexagesimal figure value display is as follow :

12□ 45 I 30 I I 5 Represent 12 degrees, 45 minutes, 30.5 seconds

(Note) : The total digits of D, M and S and separator marks must be within 10 digits, or the sexagesimal couldn’t be shown completely.

Converting from Sexagesimal to Decimal

12 deg., 45 min.,

12 [

] 45

[

] 30.5

30.5 sec.=?

[

]

 

DEG

1 2. 7 6

Converting from Decimal to Sexagesimal

2.12345 = ?

2.12345 [ 2ndF ]

2 7 I 2 4 I I 4 2

[

]

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Base-n mode calculation

Converting between bases

The unit enables you to calculate in number base other than decimal. The calculator can add, subtract, multiply, and divide binary, octal, and hexadecimal numbers. Select the number base you want by the [ÆBIN], [ÆOCT], [ÆHEX], [ÆDEC] keys. The BIN, OCT, and HEX indicators show you which base you are using. (if none of the indicators appears in the appear in the display, you are in decimal base.)

The keys active in each base is described as follows :

Binary base : [ 0 ]

[ 1 ]

 

 

 

 

 

 

 

Octal base : [ 0 ] ~ [ 7 ]

 

 

 

 

 

 

Decimal base : [ 0 ] ~ [ 9 ]

 

 

 

 

 

 

Hexadecimal base : [ 0 ] ~ [ 9 ], [ A ] ~ [ F ]

 

 

 

 

 

 

 

 

[ 2ndF ] [ÆDEC ] 31

 

DEG

 

 

3

1.

 

31 (base 10)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ 2ndF ] [ÆBIN ]

 

DEG

 

BIN

 

 

 

= ? (base 2)

 

 

 

 

 

 

 

 

 

1 1 1 1

1.

 

 

 

 

 

 

= ?(base 8)

 

[ 2ndF ] [ÆOCT ]

 

DEG

 

OCT

3

7.

 

= ? (base 16)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ 2ndF ] [ÆHEX ]

 

DEG

 

HEX

1

F.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ 2ndF ] [ÆHEX ] 4

 

DEG

 

HEX

6

C.

4 X 1B (base 16)

 

[ x ] 1B [ = ]

 

 

 

 

 

[ 2ndF ] [ÆBIN ]

 

DEG

 

BIN

 

 

 

= ? (base 2)

 

 

 

 

 

 

 

 

 

1 1 0 1 1 0

0.

 

= ? (base 10)

 

 

 

 

 

 

[ 2ndF ] [ÆDEC ]

 

DEG

1 0 8. 0

0

 

= ? (base 8)

 

 

 

 

 

 

 

 

 

 

 

[ 2ndF ] [ÆOCT ]

 

DEG

 

OCT

 

 

 

 

 

 

 

1

5

4.

 

 

 

 

 

 

 

Negative and Complements

In binary, octal, and hexadecimal bases, the calculator represents negative numbers using complement notation. The complement’s is the result of subtracting that number from 10000000000 in that number’s base by pressing [ +/] key in non-decimal bases.

Calculate the

[ 2ndF ] [ÆBIN ]

 

DEG BIN

complement of

 

 

binary number

11011 [ +/– ]

 

1 1 1 1 1 0 0 1 01.

11011

 

 

 

Complex numbers calculation

Select the complex numbers mode by pressing [ CPLX ] key and make sure “ CPLX “ indicator appears on the display. The calculator enables you to add, subtract, multiply, and divide complex numbers.

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Complex numbers are generally represented as a + b i, where a is a real and b is imaginary.

 

[ 2ndF ] [ CPLX ] 7

 

DEG

 

CPLX

 

 

( 7– 9 i ) + (15 +

[ a ] 9 [ +/– ] [ b ] [ + ]

 

 

2 2.

0 0

 

15 [ a ] 10 [ b ] [ = ]

 

 

 

10 i) = ?

 

 

 

 

 

 

[ b ]

 

DEG

 

CPLX

 

 

 

 

 

 

 

 

 

 

1.

0 0

 

 

 

 

 

 

(Note) : Memory calculation is available in complex number mode.

Random numbers and Exchange key

Random key

Pressing [ RND ] key enables the display to generate random numbers between 0.000 and 0.999.

Press [ 2ndF ] [ RND ]

Exchange key

DEG

0. 2 3 1

Pressing [ 2ndF ] [ X↔Y ] enables the displayed value to exchange as the previous value.

 

123 [ + ] 456 [ = ]

 

DEG

 

5 7 9. 0 0

 

 

 

 

123 + 456 = ?

[ 2ndF ] [ X↔Y ]

 

DEG

4 5 6. 0 0

 

 

 

 

 

[ 2ndF ] [ X↔Y ]

 

DEG

 

5 7 9. 0 0

 

 

 

 

Unit conversion

 

 

 

 

 

in cm

 

 

 

 

 

12 in = ? cm

12 [ AÆB ] [ 2ndF ]

 

DEG

 

 

[ in↔cm ]

 

3

0. 4 8

 

 

 

 

98 cm = ? in

98 [ 2ndF ] [ AÅB ]

 

DEG

 

 

[ 2ndF ] [ in↔cm ]

 

3

8. 5 8

 

 

 

 

(Note) : The operating procedure for unit conversion key, [°F↔°C ],

[ mmHg↔kpa ], [ gal↔I ], [ lb↔kg ], [ oz↔g ], is similar to the above example.

Statistics calculation

Computing single variable statistics

Select the mode by pressing [ STAT ] key and make sure “STAT“ indictor appears on the display.

The STAT mode enables you to calculate the following single variable statistics :

n number of all data Σx sum of all data

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Σx2

sum of the squares

 

 

 

 

 

 

 

 

 

 

 

 

mean value

 

 

 

 

 

 

 

 

 

 

 

x

 

 

 

 

 

 

 

 

 

 

 

S

Sample Standard deviation Σx 2

− (Σx)2 / n

 

 

 

 

 

 

 

 

 

 

n − 1

σ

Population standard deviation Σx 2 − (Σx)2 / n

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

n

CP

Precision capability

USL LSL

 

 

 

 

 

 

 

 

 

6σ

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

CPK

Process capability

Min(CPU, CPL)

 

 

 

where CPU =

USL

 

 

 

 

 

 

LSL

 

 

 

 

x

 

CPL =

x

 

 

 

 

 

 

 

 

 

3σ

 

 

 

 

3σ

 

 

 

 

 

 

 

 

(Note) : In STAT mode, all function key are available, except base-n calculation.

(Ex. 1) : Enter the following data to calculate Σx, Σx2, n, x , S, CP, and CPK , where data 1 = 2, data 2~5 = 5, data 6~8 = 9, USL value : 12, LSL value : 2

In STAT mode

[ 2ndF ] [ STAT ]

 

 

DEG

 

STAT

 

 

 

0. 0 0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ DATA ] 2

 

 

DEG

 

STAT

 

 

 

 

 

 

 

2.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ DATA ] 5

 

 

DEG

 

STAT

 

 

 

 

 

 

 

5.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ DATA ] 5

 

 

DEG

 

STAT

 

 

 

 

 

 

 

5.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ DATA ] 5

 

 

DEG

 

STAT

 

 

 

 

 

 

 

5.

 

 

 

 

 

 

 

 

 

 

 

 

Enter all data

[ DATA ] 5

 

 

DEG

 

STAT

 

 

 

5.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ DATA ] 9

 

 

DEG

 

STAT

 

 

 

 

 

 

 

9.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ DATA ] 9

 

 

DEG

 

STAT

 

 

 

 

 

 

 

9.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ DATA ] 9

 

 

DEG

 

STAT

 

 

 

 

 

 

 

9.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ = ]

 

 

DEG

 

STAT

 

 

 

 

 

 

 

0. 0 0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

DEG

 

STAT

 

x = ?

[ x ]

 

 

 

 

 

6. 1 3

 

 

 

 

 

 

 

 

 

 

 

 

n = ?

[ n ]

 

 

DEG

 

STAT

 

 

 

8. 0 0

 

 

 

 

 

 

 

 

 

 

 

 

S = ?

[ S ]

 

 

DEG

 

STAT

 

 

 

2. 5 9

 

 

 

 

 

 

 

 

 

 

 

 

Σ

x = ?

 

 

Σ

 

 

DEG

 

STAT

 

 

 

[ 2ndF] [ x ]

 

 

 

4 9. 0 0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Σ

x

2

Σ

2

 

DEG

 

STAT

 

 

= ?

[ 2ndF ] [

x ]

 

 

3 4 7.

0 0

 

 

 

 

 

 

 

 

 

σ

= ?

σ

]

 

DEG

 

STAT σ

 

[ 2ndF ] [

 

 

2.

4 2

 

 

 

 

 

 

 

 

 

 

 

 

[ 2ndF ] [ CP ] 12

 

DEG

 

STAT

 

 

 

 

 

 

 

1 2. USLCP

CP = ?

[ = ] 2

 

 

DEG

 

STAT

 

 

 

 

 

 

2. LSLCP

 

 

 

[ = ]

 

 

DEG

 

STAT

CP

 

 

 

 

 

 

0.

6 9

 

 

 

[ 2ndF ] [ CPK ]

 

DEG

 

STAT

USLCP

 

 

 

 

 

1 2.

0 0

CPK = ?

[ = ]

 

 

DEG

 

STAT

 

 

 

 

2.

0 0 LSLCP

 

 

 

[ = ]

 

 

DEG

 

STAT

CPK

 

 

 

 

 

 

0.

5 7

(Note) : The calculator keeps a record of all the entries you make and these entries are retained even if auto power-off or turning off, unless exiting STAT mode.

Viewing statistics data

Pressing [ DATA ] or [ = ] key under ED mode can view the statistics data you have entered. The difference between [ DATA ] and [ = ] is the item of the data entry appears 1.5 sec. before the value by [ DATA ], the value appears immediately without the item by [ = ].

(Ex.2) : View the statistics data based on Ex. 1. Step 0 : Press [ 2ndF ] [ EDIT ] to enter ED mode. (Method 1) :

Step 1 : Press [ DATA ] once to view the first data.

 

DEG ED

STAT

1.5 sec.

 

 

d A t A

1

DEG ED STAT

2. 0 0

Step 2 : Continue pressing [ DATA ] once for each data, it will display data 2, 5.00, data 3, 5.00, data 4, 5.00, data 5, 5.00, data 6, 9.00, data 7, 9.00, data 8, 9.00 in sequence.

(Method 2) :

Step 1 : Press [ = ] once to view the first data

DEG ED

 

STAT

 

2. 0

0

Step 2 : Continue pressing [ = ] once for each data, it will display 5.00, 5.00, 5.00, 5.00, 9.00, 9.00, 9.00 in sequence.

Adding a data entry

(Ex.3) : Add data 9 = 10 to Ex.1

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Step 1 : Press [ DATA ] 10

DEG

 

STAT

 

1 0.

Step 2 : The calculator updates the statistics as you enter data. You can recall all variable statistics to get the following result : x = 6.56, n = 9.00, S = 2.74, Σx = 59.00, Σx2 = 447.00, σ= 2.59, where data 1 = 2.00, data 2~5 = 5.00, data 6~8 = 9.00, data 9 = 10.00

Editing statistics data

(Ex.4) : Based on Ex.1, correct data 1 = 2 as data 1 = 3 Method 1 :

Press 2 [ 2ndF ] [ DEL ] 3 [=] to overwrite. Method 2 :

Step 1

: Press [ 2ndF ] [ EDIT ]

 

DEG

ED

 

STAT

 

 

 

0. 0

0

 

 

 

 

 

 

 

Step 2

: Find out 2 by [ DATA ] or [ = ]

 

DEG

ED

 

STAT

 

 

 

2. 0

0

 

 

 

 

 

 

 

Step 3

: Enter 3 to overwrite 2

 

DEG

ED

 

STAT

 

 

 

 

 

3.

 

 

 

 

 

 

 

 

 

Step 4 : Press [ = ] and [ 2ndF ] [ EDIT ] to exit ED mode,where those data are changed as data 1 = 3.00, data 2~5 = 5.00, data 6~8 = 9.00.

(Ex.5) : Based on Ex.1, delete data 1 = 2 . Method 1 :

Press 2 [ 2ndF ] [ DEL ] to delete 2. Method 2 :

Step 1

: Press [ 2ndF ] [ EDIT ]

 

DEG

ED

 

STAT

 

 

 

0. 0

0

 

 

 

 

 

 

 

Step 2

: Find out 2 by [ DATA ] or [ = ]

 

DEG

ED

 

STAT

 

 

 

2. 0

0

 

 

 

 

 

 

 

Step 3

: Press [ 2ndF ] [ DEL ]

 

DEG

ED

 

STAT

 

 

 

5. 0

0

 

 

 

 

 

 

 

Step 4 : Press [ 2ndF ] [ EDIT ] to exit ED mode, where those data are changed as data 1~4 = 5.00, data 5~7 = 9.00.

Delete error

(Ex.6) : If you enter and delete a value that isn’t included in the stored data by mistake, “dEL Error“ appears, but the previous data are still retained, for example, delete 7 based on Ex.1.

Step 1 : Press 7 [ 2ndF ] [ DEL ]

Step 2 : Press any key to clear it

 

DEG

 

 

STAT

 

 

 

dEL Error

 

 

DEG

 

 

STAT

 

 

0. 0

0

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Step 3 : Enter ED mode, then view data by [ DATA ] or [ = ], where those data are still data 1 = 2.00, data 2~5 = 5.00, data 6~8 = 9.00.

(Ex.7) : Based on Ex.1, enter 5 x 5 and delete it.

Step 1 : Press 5 [ x ] 5 [ 2ndF ] [ DEL ]

Step 2 : Press any key to clear it

 

DEG

 

 

STAT

 

 

 

dEL Error

 

 

DEG

 

 

STAT

 

 

0. 0

0

Step 3 : Enter ED mode, then view data by [ DATA ] or [ = ], where those data are changed as data 1 = 2.00, data 2~4 = 9.00.

Weighted data entry method

Instead of entering directly each data, when often several item of data have the same value, you can enter the value and the number of occurrences up to 255. The data based on Ex.1 can be rewritten and entered as follow :

Value

Number of occurrences

Alternative method

2

1

[ DATA ] 2

5

4

[ DATA ] 5 [ x ] 4

9

3

[ DATA ] 9 [ x ] 3

, where data 1 = 2, data 2~5 = 5, data 6~8 = 9.

Under ED mode, when you continue choosing a value from data 2~5 and correcting it as 33, the permutation among those data will be changed as data 1 = 2, data 2~4 = 5, data 5 = 33, data 6~8 = 9, where the new value 33 is inserted after data 4 = 5.

(Note) : A “FULL” is indicated when any of the following conditions occur and further data entry becomes impossible. Just pressing any key can clear the indicator. The previous data entries are still retained unless exiting STAT mode.

1)If the times of data entry by [ DATA ] is more than 80

2)The number of occurrences is more than 255

3)n 20400 (n = 20400 appears when the times of data entry

by [ DATA ] are up to 80 and the number of occurrences for each value are all 255, i.e. 20400 = 80 x 255.)

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CONTENIDOS

 

GUIA GENERAL.................................................................

2

SUMINISTRO DE ENERGIA ...........................................................

2

EL TECLADO ..................................................................................

2

LOS SÍMBOLOS..............................................................................

3

LOS FORMATOS ............................................................................

3

ORDEN DE OPERACIONES...........................................................

4

CORRECCIÓN ................................................................................

5

EXACTITUD & CAPACIDAD ...........................................................

5

CONDICIONES DEL DESBORDAMIENTO/DE ERROR.................

7

CALCULO BÁSICO............................................................

8

CALCULO ARITMÉTICO MIXTO ....................................................

8

CALCULO ENTRE PARÉNTESIS ...................................................

8

CALCULO CONSTANTE.................................................................

8

CALCULO PORCENTUAL ..............................................................

9

CALCULO MEMORIZADO ..............................................................

9

CALCULO CIENTÍFICO....................................................

10

RECIPROCO, FACTORIAL ...........................................................

10

CUADRADO, RAÍZ CUADRADA/ CÚBICO, POTENCIA, RAÍZ.....

10

LOGARITMOS Y ANTILOGARITMOS...........................................

10

CALCULO FRACCIONARIO .........................................................

10

CONVERSIÓN DE UNIDADES ANGULARES ..............................

11

TRIGONOMÉTRICO / FUNCIONES INVERSAS

 

TRIGONOMÉTRICAS....................................................................

12

HIPERBÓLICO / FUNCIONES INVERSAS HIPERBÓLICAS........

12

RECTANGULAR / POLARES COORDINADOS............................

12

PERMUTACIONES, COMBINACIONES .......................................

13

SEXAGESIMAL ↔ CONVERSIÓN DECIMAL...............................

13

CALCULO DE MODO BASE–N.....................................................

14

CALCULO DE NÚMEROS COMPLEJOS......................................

15

NÚMEROS ALEATORIOS Y TECLA DE CAMBIO........................

15

UNIDAD DE CONVERSIÓN ..........................................................

15

CALCULO ESTADÍSTICO................................................

15

COMPUTAR EL ÚNICO VARIABLE ESTADÍSTICO .....................

15

VER DATOS ESTADÍSTICOS.......................................................

17

SUMAR UN DATO.........................................................................

18

EDITAR DATOS ESTADÍSTICOS .................................................

18

BORRAR ERROR..........................................................................

18

MÉTODO DE INGRESO DATO PESO..........................................

19

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GUIA GENERAL

SUMINISTRO DE ENERGIA

ENCENDIDO(ON) O APAGADO(OFF)

Para encender la máquina calculadora, presionar [ON/C]; para apagar la máquina calculadora, presionar [2ndF] [OFF].

FUNCIÓN DE APAGADO AUTOMÁTICO

Esta máquina calculadora se apaga automáticamente cuando no está operando aproximadamente durante 9 minutos. La energía puede ser restaurada presionando la tecla [ON/C] nuevamente. Contenidos memorizados & el previo modo puesto (STAT, DEG, CPLX, Base-n,...) serán guardados cada vez que la energía este apagada o en apagado automático.

REEMPLAZO DE PILAS

La calculadora es alimentada por duas baterías alcalinas G13(LR44). Cuando la visualización se torna borrosa, sustituya las baterías.

Tenga cuidado al reemplazar la batería para no ser herido.

1.Soltar los tornillos en la parte trasera de la calculadora.

2.Inserir un destornillador en la ranura entre la caja superior y inferior y torcerla cuidadosamente para separarlas.

3.Quitar ambas las baterías y descartarlas. No permíta nunca que los niños toquen las baterías.

4.Limpiar las baterías nuevas con un paño seco para mantener un bueno contacto.

5.Insertar las dos baterías nuevas con las faces llanas (terminales positivos) hasta arriba.

6.Alinear las cajas superiores y inferiores y aprietarlas para cerrarlas juntamente.

7.Atornillar los tornillos.

EL TECLADO

Muchas teclas de esta calculadora son usadas para ejecutar mas de una función. Las funciones marcadas en el teclado están pintadas en diferentes colores que ayudan al usuario a encontrar lo necesitado fácil y rápidamente.

2dos funciones ───── sin–1

1ras. funciones ─── sin

1ras. FUNCIONES

Son funciones que normalmente se ejecutan cuando Uds. presionan la tecla.

2dos FUNCIONES

La segunda función está pintada arriba o al lado derecho de la tecla. Para ejecutar la tecla de segunda función, por favor presionar [2ndF]

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luego la correspondiente tecla. Cuando Ud. presiona [2ndF], el indicador “2ndF” aparece en la pantalla como diciéndole que Ud. estará seleccionado la Segunda función para la siguiente tecla que presione. Si Ud. presiona [2ndF] por descuido, simplemente presione

[2ndF] de nuevo para desaparecer el indicador “2ndF”.

((Nota): [ A ], [ B ], [ C ], [ D ], [ E ], [ F ] son de las primeras funciones en modo HEX.

LOS SÍMBOLOS

Los indicadores aparecen en la pantalla para indicarle el estado corriente de la calculadora.

DEG o RAD o GRAD: unidad angular

 

M :

Memoria independiente

CPLX : Modo de número complejo

E :

Desbordamiento / Error

STAT : Modo estadístico

:

Menos

2ndF : Tecla (2ndF)

( ) :

Cálculo entre paréntesis CP :

Precisión de capacidad

BIN : Modo binario

CPK :

Proceso de capacidad

OCT : Modo octal

σ :

Desviación

HEX : Modo hexadecimal

USL :

Límite superior colocado

ED :

Modo edita

LSL :

Límite inferior colocado

HYP : Modo hiperbólico

LOS FORMATOS

La calculadora puede exhibir los números en 4 formatos: punto flotante, punto fijo, científico e ingeniería.

FORMATO DE PUNTO FLOTANTE

El formato de punto flotante expone los números en forma decimal, usando hasta 10 dígitos. Cualquiera que vaya rezagado de ceros son truncados.

Si el resultado de un cálculo es más de 10 dígitos, la pantalla automáticamente cambia de formato a científico. Si el resultado posterior de cálculo es suficiente para exhibir en 10 dígitos, la calculadora vuelve a formato de punto flotante.

(Ejemplo) Coloca la pantalla en formato de punto flotante.

Paso: Presionar [ 2ndF ] [ TAB ]

 

DEG

[ ● ]

 

 

0.

FORMATO DE PUNTO FIJO

El formato de punto fijo, científico & ingeniería usan un número fijo de decimal. Si excede el número seleccionado de decimal, se redondeará al número correcto de decimal.

(Ejemplo): Fijar la pantalla en dos decimales, luego teclear 3.256

Paso 1: Presionar [ ndF] [TAB] 2

Paso 2: Teclear 3.256 [ = ]

DEG

0. 0 0

DEG

3. 2 6

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Por el contrario, si es menor que el número seleccionado de decimales, se rellenará con rezagado de ceros.

(Ejemplo): Fijar la pantalla en cuatro decimales, luego teclear 4.23

Paso 1: Presiona [2ndF] [TAB] 4

Paso 2: Tecla 4.23 [ = ]

FORMATO CIENTÍFICO

 

DEG

 

 

 

 

0.

0

0

0

0

 

DEG

 

 

 

 

4.

2

3

0

0

En formato científico, el número 891500 puede aparecer en formato científico como 8.915 x 10 05, donde 8.915 es llamado mantisa, y 5 es como el exponente de 10.

(Ejemplo): 7132x125 en formato científico

Paso 1: Teclear 7132 [x] 125 [=]

Paso 2: Presionar [ F↔E ]

 

DEG

 

 

 

 

 

8

9

1

5

0

0.

 

DEG

 

 

 

 

05

 

 

 

8. 9

1

5

(en formato de punto flotante)

Además, el ingreso puede hacerse en notación científica usando la tecla (EXP) luego entrando la mantisa.

(Ejemplo): Teclear el número 4.82296 x 10 5

Paso: Teclear 4.82296 [ EXP ] 5

 

DEG

 

 

 

05

4. 8

2

2

9

6

 

 

 

(en formato de punto flotante)

FORMATO INGENIERÍA

Este formato es similar al formato científico, excepto que la mantisa puede llegar hasta tres decimales en vez de uno, y el exponente es siempre múltiplo de 3. Es útil para los ingenieros para convertir unidades basado en múltiplo de 10 3.

(Ejemplo): Convierte 15V a 15000mV (V: voltage)

Paso 1: Teclear 15

 

 

DEG

1

5.

 

 

 

 

 

 

 

 

 

 

 

 

Paso 2: Presionar [ENG] dos

 

 

DEG

 

 

−03

veces

 

 

1 5 0

0

0.

 

(Ex.) : Convert 15V into 0. 015KV

 

(V : Volt)

 

 

 

Paso 1: Teclear 15

 

 

DEG

1

5.

 

 

 

 

 

 

 

 

 

 

 

Paso 2: Presionar [ 2ndF ] [ Å ]

 

 

DEG

 

03

dos veces

 

0. 0

1

5

 

ORDEN DE OPERACIONES

Cada cálculo está ejecutado en el siguiente orden de preferencia :

1)Operación entre paréntesis.

2)Funciones requeridas presionando la tecla de función antes de ingresar. Por ejemplo: [DATA] en modo STAT y [EXP] tecla.

3)Funciones requeridas ingresando valores antes de presionar la

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tecla de función, por ejemplo: cos, sin, tan, cos−1, sin−1, tan−1, log, ln, x2, 1/x, , π, 3, x!, %, RND, ENG, , y unidades de conversión.

4)fracciones

5)+/–

6) x y, y x

7)nPr, nCr

8)x , ÷

9)+, –

CORRECCIÓN

Si se cometió alguna equivocación en la hora de ingresar un número

(pero Ud. aún no ha presionado la tecla operadora aritmética), solo presionar [CE] para borrar el último dato luego ingresar el correcto dato, o borrar con la tecla de retroceder (backspace) de uno a uno

[ 00Æ0 ].

(Ejemplo): Corregir 12385 como 789

Paso: Presionar [ CE ] 789

 

DEG

 

 

 

 

7

8

9.

 

 

 

 

(Ejemplo): Corregir 12385 como 123

 

 

 

 

Paso: Presionar [ 00Æ0 ] dos

 

DEG

 

 

 

veces

 

1

2

3.

 

En una serie de cálculo, Ud. puede corregir los errores de inmediato presionando [ON/C] para borrar el cálculo completamente. (excepto para borrar un dato memorizado, ver página 9)

Si Ud. presiona la tecla operadora aritmética errónea, solo presione la tecla [CE] antes de ingresar cualquier otro datos mas.

EXACTITUD & CAPACIDAD

EXACTITUD : ±1 en 10 décimo dígitos

CAPACIDAD :

En general, cualquier razonable cálculo lleva la mantisa hasta 10 dígitos, o 10 dígitos de mantisa más 2-dígitos exponentes hasta 10±99 o números enteros entre −9999999999 y 9999999999.

El ingreso de número debe estar dentro del rango de función dado. El rango para cada función de Cálculo está dado en siguientes páginas:

Funciones

Rango de entrada

sin x, cos x, tan x

Deg : | x | < 4.5 x 10 10deg

 

Rad : | x | < 2.5 x 10 8 π rad

 

Grad : | x | < 5 x 10 10 grad

 

como quiera, para tan x

 

Deg : | x | ≠ 90 (2n+1)

 

 

 

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Rad : | x |

π

(2n+1)

 

 

 

2

 

 

Grad : | x | ≠ 100 (2n+1)

 

(n es un número entero)

sin –1 x, cos –1 x

| x | ≤ 1

 

 

tan –1 x

| x | < 1 x 10 100

 

sinh x, cosh x

| x | ≤ 230.2585092

 

 

 

 

tanh x

| x | <

1 x 10 100

 

sinh –1 x

| x | <

5 x 10 99

 

cosh –1 x

1 ≤ x < 5 x 1099

tanh –1 x

| x | <

1

 

 

log x, ln x

1 x 1099

≤ x <

1 x 10100

10X

–1 x 10 100 < x < 100

eX

–1 x 10 100 < x ≤ 230.2585092

x

0 ≤ x < 1 x 10 100

 

 

 

 

x 2

| x | <

1 x 10 50

 

1 / x

| x | <

1 x 10 100, x ≠ 0

 

 

 

 

3 x

| x | <

1 x 10 100

 

x !

0≤ x ≤ 69, x es un número entero

 

 

 

RÆP

x 2 + y 2

< 1 x 10 100

PÆR

0 ≤ r < 1 x 10 100

 

Deg : |θ| < 4.5 x 10 10deg

 

Rad : |θ| < 2.5 x 10 8 πrad

 

Grad : |θ| < 5 x 10 10 grad

 

como quiera, para tan x

 

Deg : |θ| ≠ 90 (2n–1)

 

Rad : |θ| ≠ π

(2n–1)

 

 

 

2

 

 

Grad : |θ| ≠ 100 (2n–1)

 

(n es un número entero)

 

| DD |, MM, SS.SS < 1 x 10 100,

 

0 ≤ MM, SS.SS

 

 

 

 

| x | < 1 x 10 100

 

 

 

 

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x y

 

x > 0 : –1 x 10 100 < y log x < 100

 

 

x = 0 : y > 0

 

 

 

 

 

 

x < 0 : y = n, 1/(2n+1), n es un número entero

 

 

mais –1 x 10 100 < y log | x | <100

y x

 

x > 0 : y ≠ 0, –1 x 10 100 <

1

log x <100

 

y

 

 

x = 0 : y > 0

 

 

 

 

 

 

x < 0 : y = 2n+1, I/n, n es un número entero

 

 

(n ≠ 0)

 

 

 

 

 

 

mais –1 x 10 100 <

1

log | x | <100

 

 

 

 

 

 

y

a b

c

Entrar: total de número entero, numerador y

 

denominador debe estar dentro de 10

 

 

 

 

dígitos. (incluyendo la marca de división)

 

 

Resultado: resulta como fracción por 1

 

 

numerador y denominador es menos que 1 x

 

 

10 10

 

 

 

 

nPr, nCr

0rn, n9999999999, n, r son números enteros

STAT

x1x10 50,│Σx1 x 10 100

0│Σx21 x 10 100, n, r son números enteros

xn0,S n 1n 0

 

rango = 1 ~ r, 1 ≤ n ≤ r, 80 ≤ r ≤ 20400

 

 

 

ÆDEC

0 x 9999999999

(por cero, positivo)

 

– 9999999999 ≤ x ≤ –

1 (por negativo)

 

 

 

ÆBIN

0 x 0111111111

(por cero o positivo)

 

1000000000 x 1111111111

 

(por negativo)

 

ÆOCT

0 x 3777777777

(por cero o positivo)

 

4000000000 x 7777777777

 

(por negativo)

 

ÆHEX

0 x 2540BE3FF(por cero, positivo)

 

FDABF41C01 x FFFFFFFFFF

 

(por negativo)

 

CONDICIONES DEL DESBORDAMIENTO/DE ERROR

Un símbolo “E” está indicado en la pantalla cuando cualquiera de las siguientes condiciones ocurren y el siguiente cálculo se vuelve imposible. Solo presionar [ON/C] para liberar de esos errores o del indicador erróneo y subsiguientemente puede ejecutar el cálculo.

1) Cuando la función de cálculo que esta ejecutando con un número

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excede al rango de ingreso.

2)Cuando un número es dividido por cero.

3)Cuando la tecla [ ( ] es usado mas de 15 veces en una única ecuación.

4)Cuando un resultado ( intermedio o final) o acumulado total en memoria excede al límite. ( ±9.999999999 x 10 99)

5)Cuando hay mas de 6 operaciones pendientes.

CALCULO BÁSICO

Antes de ejecutar el siguiente cálculo, revise que su calculadora esta en base de decimal y punto flotante.

CALCULO ARITMÉTICO MIXTO

1 + 2 x 3 = ?

1 [ + ] 2 [ x ] 3 [ = ]

 

DEG

 

7.

 

 

 

 

 

– 3.5 + 8 ÷ 2 = ?

3.5 [ +/– ] [ + ] 8 [ ÷ ] 2 [ = ]

 

DEG

 

0. 5

 

 

 

 

 

CALCULO ENTRE PARÉNTESIS

Operación con paréntesis siempre se ejecuta de primera. Ud. puede usar hasta 15 niveles de paréntesis en un solo cálculo. Cuando el primer paréntesis esta operando, el indicador “( )” aparece y mantiene en la pantalla hasta que el último paréntesis se cierra.

( 5 – 2 x 1.5 ) x 3

[ ( ] 5 [–] 2 [ x ] 1.5 [ ) ] [ x ]

 

DEG

 

+ 0.8 x (– 4 ) = ?

3

[ + ] 0.8 [ x ] 4 [ +/– ] [ = ]

2.

8

2 x { 7 + 6 x ( 5 +

2

[ x ] [ ( ] 7 [ + ] 6 [ x ] [ ( ]

 

DEG

 

4 ) } = ?

5 [ + ] 4 [ = ]

1 2

2.

(Nota): no es necesario presionar la tecla [ ) ] antes de la tecla [ = ].

CALCULO CONSTANTE

La calculadora permite a Ud. repetir el último número entrado o la última operación ejecutada presionando la tecla [ = ].

REPITIENDO EL ULTIMO NUMERO

 

 

3 [ x ] [ = ]

 

DEG

 

 

9.

 

3 x 3 = ?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

[ = ]

 

DEG

 

 

 

 

3 x 3 x 3 = ?

 

 

 

2

7.

 

 

 

 

 

 

3 x 3 x 3 x 3 = ?

 

 

 

 

 

 

 

[ = ]

 

DEG

 

8

1.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

REPITIENDO LA OPERACIÓN ARITMÉTICA

 

 

 

 

 

321 + 357 = ?

 

321 [ + ] 357 [ = ]

 

DEG

6

7

8.

 

 

 

 

 

 

 

 

 

 

654 + 357 = ?

 

654 [ = ]

 

DEG

 

 

 

 

 

 

 

1

0

1

1.

 

 

 

 

 

 

 

 

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579 [–] 159 [ = ]

 

DEG

 

 

 

579 – 159 = ?

 

 

4

2

0.

 

 

 

 

 

456 – 159 = ?

 

 

456 [ = ]

 

DEG

 

 

 

 

 

 

2

9

7.

 

 

 

 

 

 

18 x 45 = ?

 

 

3 [ x ] 6 [ x ] 45 [ = ]

 

DEG

 

 

 

 

 

8

1

0.

 

18 x 23 = ?

 

 

 

 

 

 

23 [ = ]

 

DEG

 

 

 

18 x (0.5 x 10

2

)

4

1

4.

 

 

 

 

 

 

DEG

 

 

 

= ?

 

 

0.5 [ EXP ] 2 [ = ]

 

 

 

 

 

 

9

0

0.

 

 

 

 

 

 

96 ÷ 8 = ?

 

 

96 [ ÷ ] 8 [ = ]

 

DEG

1

2.

 

 

 

 

 

 

75 ÷ 8 = ?

 

 

 

 

 

 

 

 

75 [ = ]

 

DEG

 

 

 

(1.2 x 102) ÷ 8

 

9. 3

7

5

 

 

 

 

 

1.2 [ EXP ] 2 [ = ]

 

DEG

 

 

 

= ?

 

 

 

1

5.

 

 

 

 

 

 

 

 

 

 

 

 

 

CALCULO PORCENTUAL

 

 

 

 

 

30% de 120 = ?

120 [ x ] 30 [ 2ndF ] [ % ]

 

DEG

3

6.

 

[ = ]

 

 

 

70% de 120 = ?

 

 

 

 

 

 

70 [ 2ndF ] [ % ] [ = ]

 

DEG

8

4.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

88 is 55% de

 

 

88 [ ÷ ] 55 [ 2ndF ] [ % ]

 

DEG

 

 

 

Que número = ?

[ = ]

1

6

0.

 

30% suma de

120 [ + ] 30 [ 2ndF ] [ % ]

 

DEG

 

 

 

120 = ?

 

 

[ = ]

1

5

6.

 

30% descuento

120 [–] 30 [ 2ndF ] [ % ]

 

DEG

8

4.

 

de 120 = ?

 

 

[ = ]

 

 

 

CALCULO MEMORIZADO

Ud. debe tener en cuenta las siguientes reglas cuando ejecute un cálculo memorizado.

1)El indicador “M” aparece cuando un número está almacenado en memoria.

2)Llamar la memoria presionando la tecla [MR] y no le afecta el contenido.

3)Todos los datos memorizados no son viables bajo el modo STAT.

4)Para modificar el contenido de la memoria de la pantalla, por favor presionas la tecla [XÆM].

5)El contenido de memoria puede ser claramente presionado [ 0 ] [XÆM] o [ ON/C ] [XÆM] en lo sucesivo.

3 x 5

[ ON/C ] [XÆM]

 

 

DEG

+) 56 ÷ 7

 

 

0.

 

 

 

 

 

 

3 [ x ] 5 [ M+ ]

 

 

DEG

+) 74 – 8 x 7

 

 

 

M

1 5.

 

 

 

 

 

Total = ?

56 [ ÷ ] 7 [ M+ ]

 

M

DEG

 

 

8.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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74 [–] 8 [ x ] 7 [ M+ ]

 

DEG

 

 

 

M

1

8.

 

 

 

 

 

[ MR ]

 

DEG

 

 

 

M

4

1.

 

 

 

 

 

0 [XÆM]

 

DEG

0.

 

 

 

 

 

 

 

 

 

 

CALCULO CIENTÍFICO

Antes de ejecutar el siguiente cálculo, revise que su calculadora este fijada en formato de dos decimales.

RECIPROCO, FACTORIAL

 

1

= ?

1.25 [ 2ndF ] [1/x] [ = ]

 

DEG

 

0. 8

0

 

 

 

 

 

1.25

 

 

 

 

 

 

5 [ 2ndF ] [ x! ] [ = ]

 

DEG

 

 

 

 

5! = ?

 

 

 

 

 

 

1

2

0. 0

0

 

 

 

 

 

 

 

CUADRADO, RAÍZ CUADRADA/ CÚBICO, POTENCIA, RAÍZ

2 2 + 3 4 = ?

 

2

[ x 2 ] [ + ] 3 [ x y ] 4 [ = ]

DEG

5. 0

0

 

 

 

 

[ x ] 27 [ 2ndF ] [ 3]

8

5 x 3 27

+

34

5

DEG

 

 

= ?

 

 

[ + ] 34 [ ] [ = ]

2 0. 8

3

9 72 = ?

 

 

72 [ 2ndF ] [ y x ] 9 [ = ]

DEG

1. 6

1

 

 

 

 

 

 

 

 

 

LOGARITMOS Y ANTILOGARITMOS

ln7 + log100 = ?

7

[ ln ] [ + ] 100 [ log ] [ = ]

 

DEG

 

3.

9

5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

10 2 = ?

 

2

[ 2ndF ] [ 10 X ] [ = ]

 

DEG

0

0.

0

0

 

 

 

 

 

 

 

 

 

1

 

e

5

– e

– 2

= ?

5

[ 2ndF ] [ e X ] [–] 2 [ +/– ]

 

DEG

 

 

 

 

 

 

 

[ 2ndF ] [ e X ] [ = ]

 

1

4

8.

2

8

 

CALCULO FRACCIONARIO

Valor fraccionario en pantalla es como sigue :

5

 

12

demuestra como

5

 

 

12

 

 

 

 

 

 

 

 

 

 

5

56 5

 

12

demuestra como 56

12

 

 

 

(Nota): Total de número entero, numerador y denominador con 10 dígitos, o el valor fraccionario no puede ser demostrado completamente.

Presionar [ 2ndF ] [ d e ], el valor demostrado se convertirá en fracción incorrecta.

S10

SR-260N_Spanish_090324.rtf

SIZE: 135x75mm

/ SCALE 2:1 / 2009/3/24

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