Citizen SR-270X College Instruction Manual

Citizen SR-270X College Instruction Manual

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File name: HDBR100DE04_Cover_front
version : 2011/03/02
SIZE:140x75mm
PARTS NO. HDBR100DE04 (SR100D)

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Summary of Contents for Citizen SR-270X College

  • Page 1 File name: HDBR100DE04_Cover_front version : 2011/03/02 SIZE:140x75mm PARTS NO. HDBR100DE04 (SR100D)
  • Page 2: Table Of Contents

    General Guide ..........3 Turning on or off..........3  Battery replacement ........3  Auto power-off function ......... 3  Reset operation ..........3  Contrast adjustment ........3  Display readout ..........4  Before Starting Calculation ......4 Using "...
  • Page 3 Probability ............ 14   Division with Quotient and Remainder ..14 Using CALC ..........15  Other functions ( √ ,  Abs, RND, PPCM, PGCD, ENT, ENTEX ) ......15 Multi-statement Function ......15  Statistical Calculations .........15 To Enter data for statistical analysis....
  • Page 4: General Guide

    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 power system which is powered by one button-type battery (G13 or L1154) and a solar cell.
  • Page 5: Display Readout

    Display readout The display comprises the entry line, the result line, and indicators. Indicator M at h 12369x7532 x Entry line 9 . 31 6 3 30 8 Result line Entry line The calculator displays an entry of up to 99 digits. Entries begin on the left;...
  • Page 6: Using " Set Up " Keys

    EQN : Use this mode to solve simultaneous linear equations with two or three 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 expression calculations.
  • Page 7: Using Math Mode

    CONT : Contrast Adjustment Using Math Mode Press [ 2nd ] [ SET UP ] [ 1 ] to enter Math mode. While in math mode, the values for functions such as , log b, Abs, 10 − , √ , ..can be entered and displayed in a mathematically written way.
  • Page 8: Memory Calculation

    You can continue moving the cursor by [ ] or [ ] to display previous input steps and editing values or commands for subsequent execution. See Example 4. The operation records in Memory are cleared each time when you turn off the calculator, press [ ON ] key, perform a “reset”, change display format or calculation mode.
  • Page 9: Order Of Operations

    Order of operations Each calculation is performed from left to right and in the following order of precedence: Expression inside parentheses. Functions with parentheses: P R, R P, PPCM, PGCD –1 –1 –1 –1 sin, cos, tan, sin , cos , tan , sinh, cosh, tanh, sinh –1...
  • Page 10 tanh x < 1 x 10 0 ≦ –1 sinh < 5 x 10 0 ≦ –1 1 ≦ x < 5 x 10 cosh –1 tanh < 1 0 ≦ 0 < x < 1 x 10 log x, ln x –1 x 10 <...
  • Page 11: Error Conditions

    1–VAR : STAT 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 and further calculation becomes impossible when any of the following conditions occur.
  • Page 12: Parentheses Calculations

    –9 Results equal to or greater than 10 or results less than 10 displayed in exponential form. See Example 9. Parentheses calculations Operations inside parentheses are always executed first. The calculator Math mode can use up to 24 levels and Linear mode can use up to 25 levels of consecutive parentheses in a single calculation.
  • Page 13: Answer Function

    Answer 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 is entered and [ M+ ], [ 2nd ] [ M– ], [ RCL ], [ 2nd ] [ STO ] or [ = ] is pressed, the result is stored by this function.
  • Page 14: Angle Unit Conversions

    (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. Angle unit conversions The angle unit (Deg, Rad, Grad) is set by pressing [ 2nd ] [ SET UP ] from Setup screen and results are displayed according to your setting.
  • Page 15: Coordinates Transformation

    Coordinates transformation Rectangular Coordinates Polar Coordinates x + y i = r (cos θ + i sin θ ) (Note) : When using those keys, make sure the calculator is set for the angle unit you want. The calculator can perform the conversion between rectangular coordinates and polar coordinates by [ 2nd ] [ P R ] and [ 2nd ] [ R P ].
  • Page 16: Using Calc

    Using CALC CALC function lets you temporarily store a mathematical expression that contain variables, which you can then recall and execute in the COMP Mode. The following describes the types of expressions you can save with CALC. See Example 38. Expressions: 2X + 3Y, 2AX + 3BY + C Multi-statements: X + Y : X (X + Y) Equalities with a single variable on the left and an expression...
  • Page 17: To Enter Data For Statistical Analysis

    3: _+CX Quadratic Regression Y = A + BX + CX 4: ln X Logarithmic Regression Y = A + B lnX 5: e^X e Exponential Regression Y = A • e 6: A•B^X ab Exponential Regression Y = A • B 7: A•X^B Power Regression Y = A •...
  • Page 18 [5: Var] [ 1 ] Number of the x values entered [5: Var] [ 2 ] Mean of the x values [5: Var] [ 3 ] Population standard deviation of x x σ n values [5: Var] [ 4 ] Sample standard deviation of x x σ...
  • Page 19: To View Or Change Data

    For Quadratic Regression (_+CX ) only : [7: Reg] [ 3 ] Quadratic coefficient C of the regression coefficients [7: Reg] [ 4 ] Estimated value of x1 ˆ x [7: Reg] [ 5 ] Estimated value of x2 ˆ x [7: Reg] [ 6 ] Estimated value of y y ˆ...
  • Page 20: Function Table

    You can use the following procedure in the EQN mode to solve simultaneous linear equations with two or three unknowns. 1. Press [ MODE ] [3] [1] or [ MODE ] [3] [2]. 2. Enter the value for each coefficient (a , etc.) and press [ = ].
  • Page 21: Proportionality Calculations

    KEY IN DISPLAY [ 2nd ] 1: = 2: ≠ [ VERIFY ] 3: > 4: < 5: ≧ 6: ≦ Proportionality Calculations Use PROP ( [ MODE ] 6 ( PROP ) ) mode for proportionality calculation. The PROP mode lets you determine the value of X in the proportionality expression a:b=X:d (or a:b=c:X) when the value of a, b, c and d are known.
  • Page 22 Example Example 1 【 Math 】 : 1 Math [ 2nd ] [ ] 1 [ ] 2 [ ] 3 [ [ + ] [ ] 5 [ ] 6 [ ] [ = ] Example 2 【 Math 】 : ( 1+ x 2= 6 + 4 Math [ ( ] 1 [ + ] [...
  • Page 23 Math ] [ DEL ] 7 1 2 x 4 5 7 ▍ Math [ = ] 1 2 x 4 5 7 5 4 8 4 Example 5 (1) 【 Math 】 : Put the value 30 into variable A Math 30 [ 2nd ] [ STO ] [ A ] (2) 【...
  • Page 24 Math 0 [ 2nd ] [ STO ] [ M ] Example 7 【 Math 】 : 7 + 5 x 4 = 27 Math 7 [ + ] 5 [ x ] 4 [ = ] 7 + 5 x 4 Example 8 –...
  • Page 25 Example 11 【 Math 】 : ( 2 + 3 ) x 10 = 500 Math [ ( ] 2 [ + ] 3 [ ) ] [ x ] [ x10 ( 2 + 3 ) x x 1 0 [ = ] 5 0 0 Example 12...
  • Page 26 [ ENG ] –3 8 5 7 . 1 4 2 8 5 7 1 x 1 0 [ 2nd ] [ ENG ] [ 2nd ] [ ENG ] 0 . 0 0 0 8 5 7 1 4 2 x 1 0 Example 15 【...
  • Page 27 Example 19 【 Line 】 : 4 [ d / e ] 2 [ d / e ] 4 [ = ] [ 2nd ] [ A b / c d / e ] 4 . 5 Example 20 【 Line 】 : 8 [ d / e ] 4 [ d / e ] 5 [ + ] 3.75 3 .
  • Page 28 After 2 second 9 ►S i m p Example 22 【 Line 】 : (F=2) 128 [ d / e ] 326 [ 2nd ] [ SIMP ] 9 [ = ] s i m p l i f i a b l e [ A C ] :C a n c e l ] :G o t o...
  • Page 29 Example 25 【 Line 】 : 2 10.5 + 25 = 3.17791666667 2 [ DMS ] 45 [ DMS ] 10.5 [ DMS ] 1 0. 5 [ + ] 0 [ DMS ] 25 [ DMS ] 30 [ DMS ] [ = ] 4 0.
  • Page 30 Example 30 –1 【 Line 】 : sinh 7 = 2.644120761 –1 [ HYP ] [ 4 ] (sinh ) 7 [ = ] –1 s i n h 2 . 6 4 4 1 2 0 7 6 1 Example 31 【...
  • Page 31 Example 35 【 Math 】 : 5 ! = 120 Math 5 [ 2nd ] [ x ! ] [ = ] 1 2 0 Example 36 【 Line 】 : Generates a random number between 0.000 ~ 0.999 [ 2nd ] [ SET UP ] [ 2 ] (LineIO) R a n # [ 2nd ] [ RANDM ] [ = ] 0.
  • Page 32 Example 39 【 Line 】 : 1.25 [ x ] [ = ] –1 1 . 2 5 0. 8 Example 40 【 Line 】 : 2 [ x ] [ + ] [ √ ] 4 [ + ] 21 [ ) ] [ + ] [ 2nd ] [ ] 125 [ ) ] [ + ] 5 + √...
  • Page 33 Example 44 【 Math 】 : PPCM ( 12, 56 ) = 168 Math [ 2nd ] [ PPCM ] 12 [ 2nd ] [ , ] 56 P P C M ( 1 2 , 5 6 [ = ] 1 6 8 Example 45 【...
  • Page 34 Math DISP [ = ] B x 1 1 9 5 Math [ = ] 1 8 0 ÷ Example 49 Enter X and Y for the following data using linear regression (A+BX), then find out n= 8, x = 2.875, y = 6.875, xσn = 1.053268722, yσn-1= 1.125991626, maxX = 4.
  • Page 35 STAT [ 2nd ] [ STATVAR ] [ 5 ] [ 2 ] [ = ] 2. 8 7 5 STAT [ 2nd ] [ STATVAR ] [ 5 ] [ 5 ] [ = ] 6. 8 7 5 STAT [ 2nd ] [ STATVAR ] [ 5 ] [ 3 ] [ = ] σ...
  • Page 36 Math 3 [ = ] 5 [ = ] 5 [ = ] 1 [ = ] [ (-) ] 4 [ = ] 13 [ = ] Math [ = ] Math [ = ] Example 51 ⎧ ⎪ ⇒...
  • Page 37 Example 52 Math [ MODE ] [ 4 ] ( TABLE ) f ( X) = ▍ Math 2 [ ALPHA ] [ X ] [ X ] [ + ] [ ALPHA ] f ( X) = 2 X + X + 1 ▍...
  • Page 38 Example 54 【 Line 】 : 1 in = 2.54 cm, get 10 in = 25.4 cm [ 2nd ] [ SET UP ] 2 (LineIO) 1 : a / b = X / d [ MODE ] [ 6 ] ( PROP ) 2 : a / b = c / X 2 (a/b=c/X) a / b = c / X...
  • Page 39 EX – 18 File name : SR100DCollege_E_Example_110302_HDBR100DE04.doc version : 10/11/23...
  • Page 40 EX – 19 File name : SR100DCollege_E_Example_110302_HDBR100DE04.doc version : 10/11/23...
  • Page 41 SIZE:140x75mm File name: HDBR100DE04_Cover_back version : 2011/03/02 PARTS NO. HDBR100DE04 (SR100D)

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