SR-270II Scientific Calculator

SR-270II Scientific Calculator
 Contrast adjustment
Pressing the [] or [] following [ MODE ] key can make the contrast of
the screen lighter or darker. Holding either key down will make the display become respectively lighter or darker.
SR-270II
Scientific Calculator
Display readout
The display comprises the entry line, the result line, and indicators.
General Guide
Indicator
Entry line
Entry line
To turn the calculator on, press [ ON/AC ] ; To turn the calculator off, press
[ OFF ].
Battery replacement
SR-270II is powered by two alkaline batteries (GP76A). If the display
becomes dim and difficult to read, the batteries should be replaced as
soon as possible.
Indicator
Independent memory
Result is negative
2nd set of function keys is active.
Alphabetic Keys ( A ~ F , M , X ~ Y ) are active.
STO : Storing variable mode is active
RCL : Recalling variable mode is active
SD
Statistics mode is active
REG
Regression mode is active
DEGRAD Angle mode : DEGrees, GRADs, or RADs
ENG
Engineering notation.
SCI
Scientific notation.
FIX
Number of decimal places displayed is fixed
HYP
Hyperbolic-trig function will be calculated
BUSY
While an operation is executing
There are digits to the left or right of the display
There are earlier or later results that can be
displayed
Reset operation
If the calculator is on but you get unexpected results, press [ ON/AC ] and
then [ MODE ] four times to display the below menu. A message appears
on the display to confirm whether you want to reset the calculator and
clear memory contents after pressing [ 2 ].
[2]
Meaning
M
–
2nd
A
STORCL
This calculator automatically turns it off when not operated for approximately 9~15 minutes. It can be reactivated by pressing [ ON/AC ] key and
the display, memory, settings are retained.
→
Result line
SR-270II displays an entry of up to 79 digits. Entries begin
on the left ; those with more than 11 digits scroll to the left.
Press [] or [] to move the cursor through an entry. However, whenever you input the 73rd digit of any calculation,
the cursor changes from “ _ ” to “ ” to let you know memory
is running low. If you still need to input more, you should
divide your calculation into two or more parts.
Indicators The following indicators appear on the display to indicate
you the current status of the calculator.
Auto power-off function
2
Indicator
Result line It displays a result of up to 10 digits, as well as a decimal,
a negative sign, a “ x10 ” indicator, and a 2-digits
positive or negative exponent.
To replace batteries :
1) Remove the screws and the back cover.
2) Replace the old batteries and install new ones with polarity in
correct directions, then secure the screws in place and press
[ ON/AC ] to turn the power on.
1
66.
Turning on or off
ENG RESET
DEG
74 – 8 ÷ 7
RESET : N Y
1 2
To clear all variables, pending operations, statistical data, answers, all
previous entries, and memory, please press [ 2 ]. To abort the reset operation without clearing the calculator, please press [ 1 ].
If the calculator is lock and further key operations becomes impossible,
please press [ 0 ] [ ON/AC ] at the same time to release the condition. It will
return all settings to default settings.
Before starting calculation
Mode Selection
1
Replay function
Each time [ MODE ] is pressed, various functions menus and all argument values corresponding to the desired mode is shown on the screen.
It includes three calculation modes (COMP, SD, REG), three angle units
(DEG, RAD, GRAD), four display notations (FIX, SCI, NORM, ENG)
and reset function (RESET).
• This function stores the latest operation executed. After execution is
completed, pressing [ 2nd ] [] or [ 2nd ] [] key will display the operation from the beginning or the end. You can continue moving the cursor
by [] or [] to edit it. To delete a digit, press [ DEL ]. ( or, in overwrite
mode, just type over the digit). See Example 1.
Entering an argument value can set up this calculator to operate as you
want it to. Give “ SD ” as an example :
1.
2.
• The replay function can keep input digits up to 256 characters for
SR-270II. After execution is completed or during entering, you can
press either [2nd ] [] or [2nd ] [] to display previous input steps and
edit values or commands for subsequent execution. See Example 2.
Press [ MODE ] once to display the calculation mode menu.
Enter [ 2 ] to let this calculator being operated under standard
deviation mode.
COMP SD REG
1
2
3
SD
[2]
→
(Note) :The replay function isn cleared even when [ ON/AC ] is pressed
or power is turned off, so contents can be recalled even after
[ ON/AC ] is pressed.
0.
Using “ 2nd ” keys
Error position display function
To execute the functions marked in yellow, please press [ 2nd ] and then
the corresponding key. When you press [ 2nd ], the “ 2nd ” 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 [ 2nd ] by mistake, simply
press [ 2nd ] again to remove the “ 2nd ” indicator.
• When a mathematically illegal calculation is performed, error position
display function will tell you with the cursor where the error is. Press
[] or [] to move the cursor and then give it a correct entry. You can
also clear an error by pressing [ ON/AC ] and then re-entered the values
and expression from the beginning. See Example 3.
Cursor
Pressing [] or [] key can move the cursor to the left or the right. Hold
down any of those keys to move the cursor at high speed.
Memory calculation
Pressing [ 2nd ] [] or [ 2nd ] [] can scroll the display up or down while
there are previous entries hidden the display. You can reuse or edit a
previous entry when it is on the entry line.
Independent memory
• Press [ M+ ] to add a result to running memory. Press [ 2nd ] [ M– ] to
subtract the value from running memory. To recall the value in running
memory, press [ 2nd ] [ RCL ] [ M ]. To clear running memory, press
[ 0 ] [ STO ] [ M ]. See Example 4.
Making corrections during input
To delete a character at the cursor, make the character underlined by
using [] or [] to move the cursor, and then press [ DEL ] to delete the
character.
(Note) : Besides pressing [ STO ] key to store a value, you can also
assign values to memory variable M by [ M+ ] or [ M– ].
To replace a character, make the character underlined by using [] or
[] to move the cursor, and then enter a new entry to replace the character.
Memory variable
• The calculator has nine memory variables for repeated use : A, B, C,
D, E, F, M, X, Y. You can store a real number in any of the nine memory
variables. See Example 5.
To insert a character, move the cursor to the position of the character
where you want to insert, it will be inserted in the front of the character
after pressing [ 2nd ] [ INS ] and entering a new character.
*
” means the calculator is in insert
*
mode On the contrary, the blinking cursor is displayed as “_”
and it means the calculator is in overwrite mode.
*
(Note) : The blinking cursor “
To clear all characters, clear all input character by [ ON/AC ] key.
*
2
[ STO ] + A ~ F , M , or X ~ Y lets you store values to
variables.
[ 2nd ] [ RCL ] or [ ALPHA ] + A ~ F , M , or X ~ Y
recalls the value of variable.
[ 0 ] [ STO ] + A ~ F , M , or X ~ Y clears the content to
a specified memory variable.
[ 2nd ] [ Mcl ] [ = ] clears all variables.
Stack
This calculator uses memory areas, called “ stacks “, to temporarily
store values (numeric stack) and commands (command stack ) according to their precedence during calculations. The numeric stack has 10
levels and command stack has 24 levels. A stack error (Stk ERROR)
occurs whenever you try to perform a calculation that is so complex that
the capacity of a stack is exceeded.
cos x
Order of operations
sin -1 x, cos -1 x
Each calculation is performed in the following order of precedence :
sinh x, cosh x
tan -1 x
tanh x, tanh -1 x
1)
2)
Coordinates transformation.
Type A functions which are required entering values before
pressing the function key, for example, x 2,
, x !, x –1.
3) x y , x
.
4) Fractions.
5) Abbreviated multiplication format in front of variables, π.
6) Type B functions which are required pressing the function key
before entering, for example, sin, cos, tan, sin –1, cos –1,
tan –1, sinh, cosh, tanh, sinh –1, cosh –1, tanh –1, log, ln, 10 X ,
, 3 , ( – ).
e X,
7) Abbreviated multiplication format in front of Type B functions
2 3 , Alog2, etc.
8) nPr, nCr
9) x , ÷
10) +, –
• When functions with the same priority are used in series,
execution is performed from right to left.
e X ln120→ e X { ln (120 ) }
otherwise, execution is from left to right.
• Compound functions are executed from right to left.
• Anything contained within parentheses receives the highest
priority.
0 < l x l < 4.499999999 x 10 99
x >0
– 9.999999999 x 10 99 < x < 99.99999999
– 9.999999999 x 10 99 < x < 230.2585092
0 < x < 1 x 10 100
x2
l x l < 1 x 10 50
x –1
l x l < 1 x 10 100, x ≠ 0
x!
0 < x < 69 , x is an integer.
l x l < 1 x 10 100
Pol ( x, y )
l x l, l y l < 9.999999999 x 10 49
x 2 + y 2 < 9.999999999 x 10 99
Rec (r,θ )
0 < r < 9.999999999 x 10 99
Deg : 0 < l x l < 4.499999999 x 10 10
Rad : 0 < l x l < 785398163.3
Grad : 0 < l x l < 4.499999999 x 10 10
however, for tan x
Deg : l θ l ≠ 90 (2n–1)
π
Rad : l θ l ≠ 2 (2n–1)
Grad : l θ l ≠ 100 (2n–1) (n is an integer)
l a l , b, c < 1 x 10 100, 0 < b, c
Output digits : Up to 10 digits.
Calculating digits : Up to 15 digits
l x l < 1 x 10 100
In general, every reasonable calculation is displayed up to 10 digits
mantissa, or 10-digits mantissa plus 2-digits exponent up to 10 ± 99.
Sexagesimal ↔ Decimal transformation
0 0 0 < l x l < 999999 59 Numbers used as input must be within the range of the given function as
follow :
Functions
0< lxl< 1
0 < l x l < 230.2585092
0 < l x l < 9.999999999 x 10 99
0 < l x l < 9.999999999 x 10 – 1
sinh -1 x, cosh -1 x
log x, ln x
10 x
ex
Accuracy and Capacity
sin x, tan x
Grad : 0 < l x l < 4.499999999 x 10 10
however, for tan x
Deg : | x | ≠ 90 (2n–1)
π
Rad : | x | ≠
(2n–1)
2
Grad : | x | ≠ 100 (2n–1) ( n is an integer)
Deg : 0 < l x l < 4.500000008 x 10 10
Rad : 0 < l x l < 785398164.9
Grad : 0 < l x l < 5.000000009 x 10 10
xy
Input range
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.
Deg : 0 < l x l < 4.499999999 x 10 10
Rad : 0 < l x l < 785398163.3
but – 1 x 10 100 < y log l x l <100
3
y > 0 : x ≠ 0, –1 x 10 100 < x1 log y <100
• [ 2nd ] [ % ] divides the number in the display by 100. You can use this
key sequence to calculate percentages, add-ons, discounts, and percentages ratios. See Example 9~10.
y=0:x>0
y < 0 : x = 2n+1, I/n, n is an integer.(n ≠ 0)
but – 1 x 10 100 < x1 log l y l <100
Display formats
nPr, nCr
0 < n < 99, r < n, n,r are integers.
SD
l x l <1x10 50, l y l <1x10 50, l n l <1x10 100
x σn, y σn, x , y, A, B, r : n ≠ 0
x σn-1, yσn-1 : n ≠ 0,1
This calculator has the following four display notation mode for the display value.
(REG)
Norm Notation :
This calculator can display up to 10 digits. However, values
that exceed this limit are automatically displayed in exponential
format. There are two types of exponential display formats :
Norm 1 mode : 10 –2 > l x l , l x l > 10 10
Norm 2 mode : 10 –9 > l x l , l x l > 10 10
Error conditions
Error message will appear on the display and further calculation becomes impossible when any of the following conditions occur.
Ma ERROR
(Note) :All of the examples in this manual show calculation results
using the Norm 1 mode.
(1) When result of function calculations exceeds the
range specified.
(2) You attempted to divide by 0.
(3) When your input values exceeds the allowable
input range of function calculations
Stk ERROR
Capacity of the numeric stack or operator stack is
exceeded.
Syn ERROR
You attempted to perform an illegal mathematical
operation.
Engineering Notation : ( ENG )
Calculation result is displayed using engineering notation,
where the mantissa of the value is displayed with the number of
decimal places specified and the exponent is set to a multiple
of 3 for display.
Fixed Notation : ( FIX )
Calculation result is displayed with the number of decimal
places specified.
To release the above errors, please press [ ON/AC ] key.
Scientific Notation : ( SCI )
Calculation result is displayed using scientific notation, where
the mantissa of the value is displayed with the number of
decimal places specified.
Basic Calculation
☺ Use the COMP mode for basic calculations.
• For FIX, SCI notation, the number of decimal places can be set to any
value between 0~9. After specifying the number of decimal places, the
display value will be rounded to the corresponding number of digits
and displayed. When no specification has been made for the number of
decimal places or significant digits, Norm 1 and Norm 2 mode can be
carried. See Example 11.
Arithmetic calculation
• For negative values, press [ (–) ] before entering the value; You can
enter a number in mantissa and exponent form by [ EXP ] key. See
Example 6.
• Pressing [ ENG ] or [ 2nd ] [
] will cause the exponent display for
the number being displayed to change in multiples of 3. See Example
12.
• Arithmetic operations are performed by pressing the keys in the same
sequence as in the expression. See Example 7.
Parentheses calculations
• Even if the number of decimal places is specified, internal calculation
for a mantissa is performed up to 15 digits for SR-270II, and the display value is stored in 10 digits. To round off those values to the specified number of decimal places, press [ 2nd ] [ RND ]. See Example 13.
• Operation inside parentheses are always executed first. SR-270II can
use up to 15 levels of consecutive parentheses in a single calculation.
See Example 8.
Continuous calculation function
Percentage calculation
4
Angle units conversion
• The calculator enables you to repeat the last operation executed by
pressing [ = ] key for further calculation. See Example 14.
The angle units (DEG, RAD, GRAD) is set by pressing [ MODE ] to
display the angle menu. The relation among the three angle units is :
• Even if calculations are concluded with the [ = ] key, the result obtained
can be used for further calculation. See Example 15.
180 ° = π rad = 200 grad
Angle conversions ( See Example 23.) :
Answer function
1.
• Answer function stores the most recently calculated result. It is retained even after the power is turned off. Once a numeric value or
numeric expression is entered and [ = ] is pressed, the result is stored
by this function. See Example 16.
2.
3.
D
1
(Note) : Even if execution of a calculation results in an error, however,
Answer memory retains its current value.
☺ Use the COMP mode for scientific calculations.
G
3
Trigonometric / Inverse-Tri. functions
Logarithms and Antilogarithms
• SR-270II provides standard trigonometric functions and inverse trigonometric functions - sin, cos, tan, sin –1, cos –1 and tan –1. See Example
24~26.
• The calculator can calculate common and natural logarithms and antilogarithms using [ log ], [ ln ], [ 2nd ] [ 10 x ], and [ 2nd ] [ e x ]. See
Example 17~19.
(Note) :When using those keys, make sure the calculator is set for the
angle unit you want.
Fraction calculation
Hyperbolic / Inverse-Hyp. functions
Fraction value display is as follow :
56 ┘ 5 ┘ 12
R
2
The units you can select are D (degrees), R (radians), G
(Gradians).
4.
Choose the units you are converting from.
5.
Press [ = ].
Scientific Calculation
5 ┘ 12
Change the default angle settings to the units you
want to convert to.
Enter the value of the unit to convert.
Press [ DRG→ ] to display the menu.
5
Display of
12
• SR-270II uses [ 2nd ] [ HYP ] to calculate the hyperbolic functions and
inverse- hyperbolic functions - sinh, cosh, tanh, sinh –1, cosh –1 and
tanh –1. See Example 27~28.
5
Display of 56
12
(Note) :When using those keys, make sure the calculator is set for the
angle unit you want.
(Note) :Values are automatically displayed in decimal format whenever
the total number of digits of a fractional values (integer + numerator + denominator + separator marks) exceeds 10.
Sexagesimal ↔ Decimal transformation
b/
• To enter a mixed number, enter the integer part, press [ a c ], enter the
numerator, press [ a b/ c ], and enter the denominator ; To enter an
improper fraction, enter the numerator, press [ a b/c ], and enter the
denominator. See Example 20.
Sexagesimal notation is as follow
12 59 45.6 Represent 12 Degree, 59 Minutes, 45.6 Seconds
• The calculator can preform the conversion between decimal and
sexagesimal numbers by [
] and [ 2nd ] [
]. See Example
29~30.
• By pressing [ 2nd ] [ d/c ], the displayed value will be converted to the
improper fraction and vice versa. To convert between a decimal and
fractional result, press [ a b/c ] .See Example 21.
Coordinates transformation
• Calculations containing both fractions and decimals are calculated in
decimal format. See Example 22.
Rectangular Coordinates
5
Polar Coordinates
Y
Y
• P( x, y )
x + y i= r (cosθ + i sinθ )
y
0
• P( r, θ)
x
X
r
0
θ
∑x2
[ RCL ] + [ A ]
−
x
[ 2nd ] + [ x− ]
∑x
[ RCL ] + [ B ]
X σn
[ 2nd ] + [ X σ n ]
n
[ RCL ] + [ C ]
X σ n-1
[ 2nd ] + [ X σ n-1 ]
X
• The calculator can perform the conversion between rectangular coordinates and polar coordinates by [ ALPHA ] [ Pol ( ] and [ ALPHA ]
[ Rec ( ]. Calculation results are automatically stored in memory variables E and F. See Example 31~32.
Regression Calculation
☺ Use the REG mode for regression calculations.
Press [ MODE ] 3 to enter the REG menu and then choose one of the six
regression types by pressing the corresponding argument value, as follow :
(Note) :When using those key, make sure the calculator is set for the
angle unit you want.
Lin Log Exp
1
2
3
Probability
• This calculator provides the following probability functions : ( See
Example 33~36.)
[ nPr ]
[ nCr ]
[ x! ]
[ RANDOM ]
Calculates the number of possible permutations of n
item taken r at a time.
Calculates the number of possible combinations of n
items taken r at a time.
Calculates the factorial of a specified positive integer x , where x < 69.
Generates a random number between 0.000 and 0.999
Other functions ( x–1,
[]
→
←
[]
P wr Inv Quad
1 2
3
Lin
Linear Regression
y=A+Bx
Log
Logarithmic Regression
y = A + B lnx
Exp
Exponential Regression
y = A • e Bx
Pwr
Power Regression
Inv
Inverse Regression
y=A•xB
y=A+B
Quad
Quadratic Regression
y=A+Bx+Cx2
x
• Always make sure you clear statistical memory by [ 2nd ] [ Scl ] before
preforming regression calculation.
, 3 , X , x2, x3, xy )
• The calculator also provides reciprocal ( [ x –1] ), square root ([
]),
cubic root ( [ 3
] ), universal root [ X
], square ( [ x 2 ] ), cubic
( [ x 3 ] ) and exponentiation ( [ x y ] ) functions. See Example 37~40.
• Individual data can be input using [ DT ] ; To delete data you just input,
please press [ 2nd ] [ CL ]. Multiple data of the same value can be input
using [ 2nd ] [ ; ]. For example, to input the data 40 and 55 ten times,
press 40 [ , ] 55 [ 2nd ] [ ; ] 10 [ DT ].
Standard Deviation Calculation
• The values of the statistical variables depend on the data you input. You
can recall them by the key operations shown in the below table. To
predict a value for x (or y) given a value for y (or x), enter the given
∧
∧
value, press [ 2nd ] [ y ] (or [ 2nd ] [ x ] ), and press [ = ] again. See
Example 42~43.
☺ Use the SD mode for standard deviation
calculations.
• Always make sure you clear statistical memory by [ 2nd ] [ Scl ] before
preforming standard deviation calculation.
• Individual data can be input using [ DT ] ; To delete data you just input,
please press [ 2nd ] [ CL ]. Multiple data of the same value can be input
using [ 2nd ] [ ; ]. For example, to input the data 15 seven times, press
15 [ 2nd ] [ ; ] 7 [ DT ].
• The values of the statistical variables depend on the data you input. You
can recall them by the key operations shown in the below table. See
Example 41.
6
∑x2
[ RCL ] + [ A ]
[ RCL ] + [ B ]
x σn
x σn-1
[ 2nd ] + [
∑x
n
[ RCL ] + [ C ]
y−
−]
[ 2nd ] + [ y
∑y2
[ RCL ] + [ D ]
[ 2nd ] + [ y σ n ]
∑y
[ RCL ] + [ E ]
y σn
y σn-1
∑xy
[ RCL ] + [ F ]
A
[ 2nd ] + [ A ]
∑x3
[ RCL ] + [ M ]
B
[ 2nd ] + [ B ]
∑x 2 y
[ RCL ] + [ X ]
C
[ 2nd ] + [ C ]
∑x 4
[ RCL ] + [ Y ]
r
−
x
[ 2nd ] + [ −
x]
x
∧
∧
y
The unit complies with the
requirements of Directive
89/336/EEC as amended
by 93/68/EEC
x σn ]
[ 2nd ] + [ x σ n-1 ]
[ 2nd ] + [ y σ n-1 ]
[ 2nd ] + [ r ]
∧
[ 2nd ] + [ x ]
∧
[ 2nd ] + [ y ]
CBM Bldg. 5-68-10 Nakano, Nakano-ku
TOKYO 164-0001, JAPAN
TEL.03-5345-7430 FAX.03-5345-7431
CITIZEN is a registered trademark of CITIZEN Watch Co.,Japan
PRINTED IN CHINA
(E) HDBMR17D101
MWB
7
[] [ 2nd ] [ INS ] 1 [ = ]
DEG
14 / 10 2.3
3.22
SR-270II / SR-275
Example 4
[ ( 3 x 5 ) + ( 56 ÷ 7 ) – ( 74 – 8 x 7 ) ] = 5
Example
3 [ x ] 5 [ STO ] [ M ]
DEG
M=
Example 1
56 [ ÷ ] 7 [ M+ ]
Change 123 x 456 as 12 x 457
123 [ x ] 456 [ = ]
DEG
123 456
DEG
[ 2nd ] [ RCL ] [ M ]
M=
DEG
M
12 456
74 [ – ] 8 [ x ] 7 [ 2nd ] [ M– ]
DEG
12 457_
23.
DEG
74 – 8 7
18.
M
56088.
[=]
8.
56088.
[] [] [] 7
DEG
56 / 7
M
56088.
[] [] [] [ DEL ]
15.
M
DEG
[ 2nd ] [ RCL ] [ M ]
M=
DEG
M
12 457
5484.
0 [ STO ] [ M ]
5.
DEG
M=
Example 2
0.
After executing 1+ 2, 3 + 4, 5 + 6, use replay function to recall
1[+]2[=]3[+]4[=]5[+]6[=]
Example 5
DEG
5+6
11.
DEG
[ 2nd ] []
Put the value 30 into variable A
30 [ STO ] [ A ]
5+6
DEG
A=
30.
11.
[ 2nd ] []
DEG
3+4
11.
Multiple 5 to variable A, then put the result into variable B
5 [ x ] [ ALPHA ] [ A ] [ = ]
DEG
5 A
150.
DEG
[ 2nd ] []
1+2
[ STO ] [ B ]
11.
DEG
B=
150.
Example 3
14 ÷ 0 x 2.3 mistakenly input instead of 14 ÷ 10 x 2.3
14 [ ÷ ] 0 [ x ] 2.3 [ = ]
After 5 Sec
DEG
DEG
[ 2nd ] [ RCL ] [ A ]
DEG
A=
30.
Ma ERROR
.
14 / 0 2.3
Recall the value of variable A
0.
1
To clear the contents of all variables
[ 2nd ] [ Mcl ] [ = ]
[ MODE ] [ MODE ] [ MODE ] 2
DEG
Mcl
SCI 0 ~ 9 ?
0.
4
Example 6
DEG SCI
6 / 7
8.571 X 10
( 2 + 3 ) x 10 – 2 = 0.05
[ ( ] 2 [ + ] 3 [ ) ] [ x ] 1 [ EXP ] [ (–) ] 2 [ = ]
( 2 + 3 )1 E –2
0.05
ENG
1
1
Example 7
DEG
DEG ENG
Example 12
2 + 3 ( 5 + 4
29.
150 m = 150000 cm = 0.15 km
150 [ = ] [ ENG ] [ ENG ]
Example 8
DEG
150000
[ 2nd ] [
DEG
] [ 2nd ] [
]
2 (7 + 6 (5 + 4
122.
X 10 –03
DEG
150
0.15 X 10
03
Example 13
Example 9
RND ( 1 ÷ 6 ) x 6 = 1.002
120 x 30 % = 36
120 [ x ] 30 [ 2nd ] [ % ]
150
2 x { 7 + 6 x ( 5 + 4 ) } = 122
2[x][(]7[+]6[x][(]5[+]4[=]
RESET
2
6 / 7
857.1428571 X 10 –03
2 + 3 x ( 5 + 4 ) = 29
2[+]3[x][(]5[+]4[=]
–01
[ MODE ] [ MODE ] [ MODE ] [ MODE ]
DEG
1[÷]6[=]
DEG
120 30
DEG
1/6
0.166666666
36.
[ MODE ] [ MODE ] [ MODE ] 1
Example 10
FIX 0 ~ 9 ?
88 ÷ 55% = 160
88 [ ÷ ] 55 [ 2nd ] [ % ]
3
DEG
DEG
0.167
160.
[ 2nd ] [ RND ]
Example 11
DEG
FIX
1/6
0.167
6 ÷ 7 = 0.857142857
6[÷]7[=]
FIX
1/6
88 / 55
[x]6[=]
DEG
6 / 7
DEG
Example 14
[ MODE ] [ MODE ] [ MODE ] 1
FIX 0 ~ 9 ?
DEG
1.002
0.857142857
2
FIX
Ans 6
3 x 3 x 3 x 3 = 81
3[x]3[=]
FIX
6 / 7
DEG
3 3
9.
0.86
[x]3[=]
DEG
Ans 3
27.
2
[=]
DEG
Example 21
Ans 3
81.
Example 15
To calculate ÷ 6 after 3 x 4 = 12
3[x]4[=]
4 [ a b/c ] 2 [ a b/c ] 4 [ = ]
34
[ a b/c ]
DEG
4 ¢}2¢} 4
DEG
Ans / 6
4¢} 1¢} 2
12.
[÷]6[=]
DEG
4¢} 2 ¢}4
DEG
4.5
2.
[ 2nd ] [ d/c ]
DEG
4 ¢}2¢} 4
Example 16
9¢} 2
123 + 456 = 579 789 – 579 = 210
[ 2nd ] [ d/c ]
DEG
4 ¢}2¢} 4
DEG
123 [ + ] 456 [ = ]
4¢} 1¢} 2
123 + 456
579.
789 [ – ] [ Ans ] [ = ]
Example 22
DEG
789 – Ans
210.
8 4 + 3.75 = 12.55
5
Example 17
8 [ a b/c ] 4 [ a b/c ] 5 [ + ] 3.75 [ = ]
ln7 + log100 =3.945910149
[ ln ] 7 [ + ] [ log ] 100 [ = ]
DEG
l n 7 + l o g 100 3.945910149
Example 23
2 π rad. = 360 deg.
Example 18
[ MODE ] [ MODE ]
10 2 = 100
[ 2nd ] [ 10 x ] 2 [ = ]
DEG RAD GRAD
1
2
3
DEG
10 2
1
100.
Example 19
2 [ 2nd ] [ π ]
e – 5 = 0.006737947
[ 2nd ] [ e x ] [ ( – ) ] 5 [ = ]
DEG
DEG
2π
0.
DEG
e –5
6.737946999 x 10 –03
[ 2nd ] [ DRG]
D
1
Example 20
2[=]
7 2 + 14 5 = 22 8
3
7
21
7 [ a b/c ] 2 [ a b/c ] 3 [ + ] 14 [ a b/c ] 5
[ a b/c ] 7 [ = ]
DEG
8 ¢}4 ¢} 5 + 3.75
12.55
DEG
Example 24
7¢}2¢} 3 + 14¢}5¢}7 22¢} 8¢} 21
sin30 Deg. = 0.5
3
R
2
G
3
DEG
2π r
360.
Example 30
[ MODE ] [ MODE ]
DEG RAD GRAD
1
2
3
1 [ sin ] 30 [ = ]
2 45 10.5 = 2.752916667
2[
DEG
] 45 [
] 10.5 [
0.5
[
Example 25
cos (
][=]
DEG
2 ° 45 ° 10.5 °
2 45 10.5 sin 30
2π
rad ) = – 0.5
3
]
DEG
2 ° 45 ° 10.5 °
2.752916667
Example 31
If x = 5 , y = 30, what are r , θ ° Ans : r = 30.41381265 θ = 80.53767779 °
[ MODE ] [ MODE ]
DEG RAD GRAD
1
2
3
2 [ cos ] [ ( ] 2 [ 2nd ] [ π ] [ ÷ ] 3 [ = ]
[ ALPHA ] [ Pol ( ] 5 [ , ] 30 [ = ]
RAD
cos ( 2 π / 3
– 0.5
DEG
Pol ( 5, 30
30.41381265
[ 2nd ] [ RCL ] [ F ]
DEG
F=
Example 26
80.53767779
sin -1 0.5 = 30 Deg.
Example 32
[ MODE ] [ MODE ]
If r = 25 , θ = 56°, what are x , y ? Ans : x = 13.97982259 y = 20.72593931
DEG RAD GRAD
1
2
3
1 [ 2nd ] [ sin –1 ] 0.5 [ = ]
[ ALPHA ] [ Rec ( ] 25 [ , ] 56 [ = ]
DEG
sin –1 0.5
30.
DEG
Rec ( 25, 56
13.97982259
DEG
[ 2nd ] [ RCL ] [ F ]
Example 27
F=
20.72593931
cosh1.5 + 2 = 4.352409615
[ 2nd ] [ HYP ] [ cos ] 1.5 [ + ] 2 [ = ]
Example 33
DEG
cosh 1.5 + 2
4.352409615
7!
= 840
[(7 – 4)] !
Example 28
sinh -1 7 = 2.644120761
7 [ 2nd ] [ nPr ] 4 [ = ]
[ 2nd ] [ HYP ] [ 2nd ] [ sin –1 ] 7 [ = ]
sinh
7
2.644120761
DEG
7 lP 4
DEG
–1
840.
Example 34
Example 29
7!
= 35
4 ! [(7 – 4)] !
12.755 = 12 45 18 12.755 [ = ] [ 2nd ] [
]
DEG
12.755
12 45 18 7 [ 2nd ] [ nCr ] 4 [ = ]
DEG
7 lC 4
35.
4
3 [ DT ] 2 [ DT ] 5 [ DT ] 9 [ DT ]
[ 2nd ] [ RCL ] [ A ]
Example 35
SD DEG
∑x 2
119.
5 ! = 120
DEG
5 [ 2nd ] [ x ! ] [ = ]
[ 2nd ] [ RCL ] [ B ]
5!
SD DEG
∑x
19.
120.
[ 2nd ] [ RCL ] [ C ]
Example 36
SD DEG
n=
Generates a random number between 0.000 ~0.999
4.
−
[ 2nd ] [ x ] [ = ]
DEG
[ 2nd ] [ RANDOM ] [ = ]
Ran #
−
x
SD DEG
4.75
0.388
[ 2nd ] [ X σn ] [ = ]
Example 37
1
1.25
= 0.8
X σn
[ 2nd ] [ X σn-1 ] [ = ]
1.25 [ x – 1] [ = ]
SD DEG
–1
0.8
Example 42
Find A, B, and r for the following data using linear regression and estimate
Example 38
x ’ =? for y =573 and y’ = ? for x = 19.
5 3 + 2 2 + 4 + 21 + 3 125 = 139
5 [ 2nd ] [ x 3 ] [ + ] 2 [ x 2 ] [ + ] [
]
] 125 [ = ]
[ ( ] 4 [ + ] 21 [ ) ] [ + ] [ 2nd ] [ 4
5
n
x
y
DEG
3 +2 2 +
( 4+21
139.
1
15
451
2
17
475
3
21
525
Lin Log Exp
1
2
3
1 [ 2nd ] [ Scl ] [ = ]
625 = 5
x
4 [ 2nd ] [ √
4
28
678
[ MODE ] 3
Example 39
4
X σn-1
3.095695937
DEG
1.25
SD DEG
2.680951324
REGDEG
Scl
0.
] 625 [ = ]
DEG
4
15 [ , ] 451 [ DT ] 17 [ , ] 475 [ DT ]
21 [ , ] 525 [ DT ] 28 [ , ] 678 [ DT ]
[ 2nd ] [ A ] [ = ]
625
5.
Example 40
REGDEG
176.1063291
[ 2nd ] [ B ] [ = ]
7 4 = 2401
A
REGDEG
B
17.58734177
7[xy]4[=]
DEG
7xy4
[ 2nd ] [ r ] [ = ]
2401.
REGDEG
r
0.989845164
Example 41
∧
573 [ 2nd ] [ x ]
Enter data : X 1 = 3, X 2 = 2, X 3 = 5 , X 4 = 9, then find out ∑ x 2 = 119, ∑x=
−
19, n = 4, x = 4.75,
x σn =
2.680951324, X σ n-1= 3.095695937
[ MODE ] 2 [ 2nd ] [ Scl ] [ = ]
∧
REGDEG
x
22.56700734
∧
SD DEG
19 [ 2nd ] [ y ]
Scl
0.
∧
REGDEG
y
510.2658228
5
Example 43
Find A, B, and C for the following data using quadratic regression and
estimate y’ = ? for x = 58 and x’ =? for y =143
n
x
y
1
57
101
2
61
117
3
67
155
[ MODE ] 3 []
Pwr
1
Inv Quad
2
3
REGDEG
3 [ 2nd ] [ Scl ] [ = ]
Scl
0.
57 [ , ] 101 [ DT ] 61 [ , ] 117 [ DT ]
67 [ , ] 155 [ DT ] [ 2nd ] [ A ] [ = ]
REGDEG
A
684.3
M
[ 2nd ] [ B ] [ = ]
REGDEG
B
23.53333333
M
[ 2nd ] [ C ] [ = ]
REGDEG
C
M
∧
58 [ 2nd ] [ y ]
REGDEG
∧
y
104.3
M
∧
143 [ 2nd ] [ x ]
1
∧
∧
x2
M
PRINTED IN CHINA
REGDEG
∧
x
M
[ 2nd ] [ x ]
0.233333333
65.36790453
REGDEG
35.48923833
(Ex) HDBM17D1508
MWB
6
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