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Citizen SR-270X College manual

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Table of contents for the manual

  • Page 1

    File name: HDBR100DE04_Cover _front version : 2011/03/02 SIZE:140x75mm P ARTS NO. HDBR100DE04 (SR100D)[...]

  • Page 2

    E – 1 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 General Guide ................................................. 3  T urning on or off............................................. 3  Battery replacement ....................................... 3  Auto power-off function ................................. 3 ?[...]

  • Page 3

    E – 2 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31  Probability .................................................... 14  Division with Quotient and Remainder ........ 14  Using CALC .................................................. 15  Other functions ( √ , 3 , X , x -1 , x 2 , x 3 , x y , Abs, RND, PP[...]

  • Page 4

    E – 3 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 General Guide  Turning on or off To turn the calculator on, press [ ON ]; To turn the calculator off, press [ 2nd ] [ OFF ].  Battery replacement The calculator is a dual pow er system which is pow ered by one button-type battery ( G13 or L1154) and a solar cel[...]

  • Page 5

    E – 4 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31  Display readout The display comprises the entry line, the result line, and indicators. D 12369x 7532x 10 32 9 . 3 163308 x1 0 39 Entr y line In d i c at o r Result l in e Ma th c Entry line The calculator displ ays an entry of up to 99 digits. Entries begin on th[...]

  • Page 6

    E – 5 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 EQN : Use this mode to solve simultaneous linear equati ons with two or thr ee unknowns. TABLE : Use this mode to display a defined function in a tabular form. VERIF : Use this mode to perform the numerical comparison and check. PROP : Use this mode to perform ratio [...]

  • Page 7

    E – 6 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 W CONT X : Contrast Adjustment  Using Math Mode Press [ 2nd ] [ SET UP ] [ 1 ] to enter Math mode. W hile in math mode, the values for functions such as e d , A c b , log a b, Abs, 10 x , e X , √ , 3 , X 2 , X 3 , X 1 − , X y , x ....can be entered and display[...]

  • Page 8

    E – 7 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 You can continue moving the cursor by [ W ] or [ X ] to display previous input steps and editing v alues or commands for subsequent execution. See Exampl e 4. The operation records in Memory are clear ed each time when you turn off the calculator, press [ ON ] key, p[...]

  • Page 9

    E – 8 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31  Order of opera tions Each calculation is performed from left to rig ht and in the following order of precedence: 1) Ex pression inside parentheses. 2) Functi ons with parentheses: P R, R P, PPCM, PGC D sin, cos, tan, sin –1 , cos –1 , tan –1 , sinh, cosh, t[...]

  • Page 10

    E – 9 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 tanh x 0 ≦ x < 1 x 10 100 sinh –1 x 0 ≦ x < 5 x 10 99 cosh –1 x 1 ≦ x < 5 x 10 99 tanh –1 x 0 ≦ x < 1 log x, ln x 0 < x < 1 x 10 100 10 x –1 x 10 100 ＜ x ＜ 100 e x –1 x 10 100 ＜ x ≦ 230.2585092 x 0 ≦ x < 1 x 10 100 x 2[...]

  • Page 11

    E – 10 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 ST A T 1 – VAR : a. n ≦ 80 lines (when FREQ column is OFF) b. n ≦ 40 lines (when FREQ column is ON) 2 – VAR : a. n ≦ 40 lines (when FREQ column is OFF) b. n ≦ 26 lines (when FREQ column is ON)  Error conditions Error message will appear on the display[...]

  • Page 12

    E – 11 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 Results equal to or gr eater than 10 10 or results less than 10 –9 are displayed in ex ponential form. See Example 9.  Parentheses calculation s Operations inside parentheses are alw ays executed first. The calculator Math mode can use up to 24 lev els and Line[...]

  • Page 13

    E – 12 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31  A nsw er Function 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 i s entered and [ M+ ], [ 2nd ] [ M– ], [ RCL ], [ 2nd ] [ STO ] or [ = ] is pressed, th[...]

  • Page 14

    E – 13 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 (Note) : 1. “ ” next to the resulting fraction signifies that the fraction is not yet in simplest form. 2. “Fraction irreduc” appears that further simplification is impossible.  A ngle unit conversions The angle unit ( Deg , Rad , Grad ) is set by pressin[...]

  • Page 15

    E – 14 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31  Coordinates t ransformation Rectangular Coordinates Polar Coordinates x + y i = r (c os θ + i sin θ ) (Note) : When using those keys, make sure the calc ulator is set for the angle unit you w ant. The calculator can perform the conversion between rectang ular [...]

  • Page 16

    E – 15 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31  Using CA LC CALC function lets you tempor arily store a mathematical ex pression that contain variables, w hich you can then recall and execute in the COMP Mode. The follow ing describes the types of expressi ons you can save with CALC . See Example 38. 1) Expre[...]

  • Page 17

    E – 16 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 3: _+CX 2 Quadratic Regression Y = A + BX + C X 2 4: ln X Logarithmic R egression Y = A + B lnX 5: e ^X e Exponential Regression Y = A • e BX 6: A•B^ X ab Exponential Regression Y = A • B X 7: A•X^ B Power Regression Y = A • X B 8: 1/X Inverse Regressi on [...]

  • Page 18

    E – 17 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 n [5: Var] [ 1 ] Number of the x values entered x [5: Var] [ 2 ] Mean of the x values x σ n [5: Var] [ 3 ] Population standard deviation of x values x σ n-1 [5: Var] [ 4 ] Sample standard deviation of x values minX [6: MinMax] [ 1 ] Minimum of x-value maxX [6: Min[...]

  • Page 19

    E – 18 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 For Quadratic Regression ( _+CX 2 ) only : C [7: Reg] [ 3 ] Qua dra tic co effi cie nt C of the re gr ess ion coefficients 1 ˆ x [7: Reg] [ 4 ] Estimated value of x1 2 ˆ x [7: Reg] [ 5 ] Estimated value of x2 y ˆ [7: Reg] [ 6 ] Estimated value of y You also can a[...]

  • Page 20

    E – 19 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 You can use the follow ing procedure in the EQN mode to solve simultaneous linear equati ons with two or three unknowns. 1. Press [ MODE ] [3] [1] or [ MODE ] [3] [2]. 2. Enter the value for each coefficient (a 1 , etc.) and press [ = ].  To change a coefficient [...]

  • Page 21

    E – 20 File name : SR100DCollege_E nglish_text_0531_f inal.doc version : 10/05/31 KEY IN DISPLA Y [ 2nd ] [ VERIFY ] 1 : = 3: > 5: ≧ 2: ≠ 4: < 6: ≦ Proportionality Calculat ions Use PROP ( [ MODE ] 6 ( PROP ) ) mode for proportionality calculation. The PROP mode lets you determine the val ue of X in the proportionality expression a:b=[...]

  • Page 22

    EX – 1 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Example Example 1 ¾ 【 Math 】 : 1 3 2 + 6 5 = 2 5 Math D S 1 + 3 2 6 5 [ 2nd ] [ A c b ] 1 [ X ] 2 [ T ] 3 [ X ] [ + ] [ e d ] 5 [ T ] 6 [ X ] [ = ] 2 5 Example 2 ¾ 【 Math 】 : ( 1+ 2 ) 2 x 2= 6 + 4 2 Math D S ( 1 + 2 ) 2 x2 [ ( ] 1 [ + ] [ ] 2 [ X ] [ [...]

  • Page 23

    EX – 2 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Math D S 12 x 4 57 ▍ [ X ] [ X ] [ X ] [ X ] [ DEL ] 7 Math D S 12 x 4 57 [ = ] 5484 Example 5 ¾ (1) 【 Math 】 : Put the value 30 into var iable A Math D S 30 Æ A 30 [ 2nd ] [ STO ] [ A ] 30 ¾ (2) 【 Math 】 : Multiply 5 to v ariable A, then put the r[...]

  • Page 24

    EX – 3 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Math D S 0 Æ M 0 [ 2nd ] [ STO ] [ M ] 0 Example 7 ¾ 【 Math 】 : 7 + 5 x 4 = 27 Math D S 7+5 x 4 7 [ + ] 5 [ x ] 4 [ = ] 2 7 Example 8 ¾ 【 Math 】 : 2.75 x 10 – 5 = 400000 11 Math D S 2 . 7 5 x 1 0 - 5 2.75 [ x10 x ] [ (–) ] 5 [ = ] 400000 11 ¾ ?[...]

  • Page 25

    EX – 4 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Example 11 ¾ 【 Math 】 : ( 2 + 3 ) x 10 2 = 500 Math D S (2 + 3) x x1 0 2 [ ( ] 2 [ + ] 3 [ ) ] [ x ] [ x1 0 x ] 2 [ = ] 5 00 Example 12 ¾ 【 Math 】 : 120 x 30 % = 36 Math D S 120 x 30 % 120 [ x ] 30 [ 2nd ] [ % ] [ = ] 36 Example 13 ¾ 【 Math 】 : 8[...]

  • Page 26

    EX – 5 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 D S 6 7 [ ENG ] 8 5 7 . 142857 1x1 0 –3 D S 6 7 [ 2nd ] [ e ENG ] [ 2nd ] [ e ENG ] 0 . 0 008571 42x 1 0 3 D S 6 7 [ F _` D ] 6 7 Example 15 ¾ 【 Math 】 : 123 + 456 = 579 ´ 789 – 579 = 210 M a t h D S 123+ 456 [ 2nd ] [ SET UP ] [ 1 ] (MthIO) 123 [ + ][...]

  • Page 27

    EX – 6 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Example 19 ¾ 【 Line 】 : 5 . 4 2 1 4 2 9 4 2 4 = = = D S 4 2 4 4 [ d / e ] 2 [ d / e ] 4 [ = ] 9 2 D S 4 2 4 [ 2nd ] [ A b / c _` d / e ] 4 1 2 D S 4 2 4 [ F _` D ] 4 . 5 D S 4 2 4 [ F _` D ] 9 2 Example 20 ¾ 【 Line 】 : 55 . 12 75 . 3 5 4 8 = + D S 8 4[...]

  • Page 28

    EX – 7 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 D S 31 9 ► Sim p After 2 second 31 9 Example 22 ¾ 【 Line 】 : 163 64 326 128 = (F=2) D Non simplifiable [A C ] ： Ca n c e l 128 [ d / e ] 326 [ 2nd ] [ SIMP ] 9 [ = ] [ W ][ X ] ： Go t o D S 12 8 326 ► Si m p F= 2 [ ◄ ] [ DEL ] [ = ] 64 163 Exampl[...]

  • Page 29

    EX – 8 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Example 25 ¾ 【 Line 】 : 2 { 45 l 10.5 l l + 25 l 30 l l = 3.17791666667 D S 2  45  10 . 5  +0  25 Z 2 [ DMS ] 45 [ DMS ] 10.5 [ DMS ] [ + ] 0 [ DMS ] 25 [ DMS ] 30 [ DMS ] [ = ] 3 { 10 l 40 . 5 l l D S 2  45  10 . 5  +0  25 Z [ 2nd [...]

  • Page 30

    EX – 9 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Example 30 ¾ 【 Line 】 : sinh –1 7 = 2.644120761 D S sin h –1 (7 [ HYP ] [ 4 ] (sinh –1 ) 7 [ = ] 2 . 6 44120761 Example 31 ¾ 【 Line 】 : If x = 5, y = 30, w hat are r , ? Ans : r = 30.41381265, = 80.53767779 o D S Po l ( 5 , 30 r = 3 0 . 4 138126[...]

  • Page 31

    EX – 10 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Example 35 ¾ 【 Math 】 : 5 ! = 120 Math D S 5! 5 [ 2nd ] [ x ! ] [ = ] 120 Example 36 ¾ 【 Line 】 : Generates a random number between 0.000 ~ 0.999 D S Ra n # [ 2nd ] [ SET UP ] [ 2 ] (LineIO) [ 2nd ] [ RANDM ] [ = ] 0 . 44 9 Example 37 ¾ 【 Line 】[...]

  • Page 32

    EX – 11 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Example 39 ¾ 【 Line 】 : 8 . 0 .25 1 1 = D S 1 . 25 –1 1.25 [ x -1 ] [ = ] 0 . 8 Example 40 ¾ 【 Line 】 : 139 = 5 + 125 + 21 + 4 + 2 3 3 2 D S 2 2 + √ ( 4 +21)+ 3 (1 Z 2 [ x 2 ] [ + ] [ √ ] 4 [ + ] 21 [ ) ] [ + ] [ 2nd ] [ 3 ] 125 [ ) ] [ + ] 5 [[...]

  • Page 33

    EX – 12 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Example 44 ¾ 【 Math 】 : PPCM ( 12, 56 ) = 168 M a t h D S PPC M ( 1 2 , 56 [ 2nd ] [ PPCM ] 12 [ 2nd ] [ ， ] 56 [ = ] 16 8 Example 45 ¾ 【 Math 】 : PGCD ( 12 , 56 ) = 4 M a t h D S PGCD ( 1 2 , 56 [ 2nd ] [ PGCD ] 12 [ 2nd ] [ ， ] 56 [ = ] 4 Examp[...]

  • Page 34

    EX – 13 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 M a t h D S DISP Bx 1 3 [ = ] 195 M a t h D S 180 ÷ B [ = ] 12 Example 49 ¾ Enter X and Y f or the followi ng data using linear regr ession (A+BX), then find out n= 8, x = 2.875, y = 6.875, x σ n = 1.053268722, y σ n-1= 1.125991626, maxX = 4. Σ x 2 = 75, [...]

  • Page 35

    EX – 14 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 ST AT D x [ 2nd ] [ ST A TV AR ] [ 5 ] [ 2 ] [ = ] 2 . 875 ST AT D y [ 2nd ] [ ST A TV AR ] [ 5 ] [ 5 ] [ = ] 6 . 875 S T A T D x σ n [ 2nd ] [ ST A TV AR ] [ 5 ] [ 3 ] [ = ] 1 . 0 53268722 ST AT D y σ n- 1 [ 2nd ] [ ST A TV AR ] [ 5 ] [ 7 ] [ = ] 1 . 125991[...]

  • Page 36

    EX – 15 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 M a t h D a b c 1 3 5 5 2 1 - 4 1 3 3 [ = ] 5 [ = ] 5 [ = ] 1 [ = ] [ (-) ] 4 [ = ] 13 [ = ] 13 M a t h D T X= [ = ] 5 M a t h D S Y= [ = ] -2 Example 51 ¾ 【 Math 】 : 3 Z , 2 Y , 1 X 13 Z Y 7 X 2 2 Z Y 3 X 5 23 Z 6 Y 2 X = = = ⇒ ⎪ ⎩ ⎪ ⎨ ⎧ = ?[...]

  • Page 37

    EX – 16 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Example 52 Math D f ( X ) = ▍ [ MODE ] [ 4 ] ( T ABLE ) Math D f ( X ) =2X 2 +X+ 1 ▍ 2 [ ALPHA ] [ X ] [ X 2 ] [ + ] [ ALPHA ] [ X ] [ + ] 1 Math D St a r t ? [ = ] 1 Math D En d ? 5 [ = ] 5 Math D St e p? 20 [ = ] 1 Math D XF ( X ) 1 5 5 6 2 8 13 7 31 1 2[...]

  • Page 38

    EX – 17 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23 Example 54 ¾ 【 Line 】 : 1 in = 2.54 cm, get 10 in = 25.4 cm 1 : a/b = X / d [ 2nd ] [ SET UP ] 2 (LineIO) [ MODE ] [ 6 ] ( PROP ) 2 : a/b = c / X D abc [ 0 0 0] a/b = c / X 2 (a/b=c/X) 0 D abc [ 1 2 . 54 1 0 ] a/b = c / X 1 [ = ] 2.54 [ = ] 10 [ = ] 10 D [...]

  • Page 39

    EX – 18 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23[...]

  • Page 40

    EX – 19 File name : SR100DCollege_E_Example_1 10302_HDBR100DE04.doc version : 10/1 1/23[...]

  • Page 41

    File name: HDBR100DE04_Cover _back version : 2011/03/02 SIZE:140x75mm P ARTS NO. HDBR100DE04 (SR100D)[...]