User manual CITIZEN SR-281

[. . . ] SR-281 / SR-282 Scientific Calculator General Guide. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Turning on or off . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Battery replacement. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Auto power-off function. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [. . . ] The correct result cannot be derived by entering [ ( ] 2 [ + ] 3 [ ) ] [ EXP ] 2. Be sure to enter [ x ] between the [ ) ] and [ EXP ] in the below example. -E10- ( 2 + 3 ) x 10 = 500 [ ( ] 2 [ + ] 3 [ ) ] [ x ] [ EXP ] 2 [ ] DEG 2 (2+3) 1E02= 50 0. Percentage calculation [ 2nd ] [ % ] divides the number in the display by 100. You can use this key sequence to calculate percentages, add-ons, discounts, and percentage ratios. 120 x 30 % = 36 120 [ x ] 30 [ 2nd ] [ % ] [ ] 120 DEG 3 0%= 36. 88 88 [ 55 % = 160 ] 55 [ 2nd ] [ % ] [ ] 88 DEG 5 5%= 160. Display notations The calculator has the following display notations for the display value. Fixed-point / Floating Notations To specify the number of decimal places, press [ 2nd ] [ TAB ] and then a value indicating the number of places ( 0~9 ). Values are displayed rounded off to the place specified. To return floating setting, press [ 2nd ] [ TAB ] [ · ]. Scientific Notation To change the display mode between floating and scientific notation, press [ FE ]. Engineering Notation Pressing [ ENG ] or [ 2nd ] [ ] will cause the exponent display for the number being displayed to change in multiples of 3. 6 6[ 7 = 0. 85714285714. . . ]7[ ] 6 7= DEG 0. 8 5 7 1 4 2 8 5 7 1 4 [ 2nd ] [ TAB ] 4 6 7= 0. 8 5 7 1 DEG TAB -E11- [ 2nd ] [ TAB ] 2 6 7= DEG TAB 0. 8 6 [ 2nd ] [ TAB ] [ · ] 6 7= DEG 0. 8 5 7 1 4 2 8 5 7 1 4 [ FE ] 6 7= DEG 8. 5 7 1 4 2 8 5 7 1 4 3 [ ENG ] DEG ­03 857. 1 4 2 8 5 7 1 4 3 [ 2nd ] [ ] [ 2nd ] [ ] DEG 03 0. 0 0 0 8 5 7 1 4 2 8 5 Engineering Symbol Notation Each time you specify the ENG mode, a displayed result is automatically shown with the corresponding engineering symbol. yotta 24 21 18 15 12 Y = 10 , Z = 10 , E = 10 , P = 10 , T = 10 , G = 10 6 3 ­3 ­6 M = 10 , K = 10 , m = 10 , µ = 10 , ­9 zetta exa peta tera giga 9 mega , kilo milli micro nano n = 10 , p = 10 ­ 21 z = 10 , pico ­ 12 , femto f = 10 ­ 15 , atto ­ 18 a = 10 , zepto yocto ­ 24 y = 10 Perform the following operation to specify engineering symbol notation. [ MODE ] 5 ( ENG ) To exit from this mode, press [ MODE ] 5 once again. 6 7 = 0. 85714285714. . . ENG DEG [ MODE ] 5 0. 6[ ]7[ ] ENG DEG 6 7= m 8 5 7. 1 4 2 8 5 7 1 4 3 [ ENG ] ENG DEG µ 8 5 7 1 42. 8 5 7 1 4 3 -E12- [ 2nd ] [ ] [ ] [ 2nd ] [ ] [ 2nd ] ENG DEG K 0. 0 0 0 8 5 7 1 4 2 8 5 Scientific Functional Calculations Use MAIN ( [ MODE ] 1 ( MAIN ) ) mode for scientific function calculations. Logarithms and Antilogarithms The calculator can calculate common and natural logarithms and x x anti-logarithms using [ log ], [ ln ], [ 2nd ] [ 10 ], and [ 2nd ] [ e ]. ln 7 + log 100 = 3. 94591014906 [ ln ] 7 [ + ] [ log ] 100 [ ] DEG l n7+ l og100 3. 9 4 5 9 1 0 1 4 9 0 6 10 + e 2 ­5 = 100. 006737947 DEG [ 2nd ] [ 10 X ] 2 [ + ] [ 2nd ] [ e X ] 5 [+/­][ ] 10 ^ 2 + e ^ ­ 5 = 1 0 0. 0 0 6 7 3 7 9 4 7 Fraction calculation Fraction value display is as follow : 5 12 Display of 5 12 56 5 12 Display of 56 5 12 (Note): Values are automatically displayed in decimal format whenever the total number of digits of a fractional values ( integer + numerator + denominator + separator marks ) exceeds 12. To enter a mixed number, enter the integer part, press [ a b/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. 7 2 5 8 + 14 = 22 3 7 21 DEG 7 [ a b/c ] 2 [ a b/c ] 3 [ + ] 14 [ a b/c ] 5 [ a b /c ] 7 [ ] 7 2 3+14 22 8 5 7 21. 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. By pressing [ 2nd ] -E13- [ d/e ], 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 ]. 4 9 1 2 = 4 = 4. 5 = 2 2 4 ] DEG 4 [ a b /c ] 2 [ a b /c ] 4 [ 4 2 4= 4 1 2. [ a b /c ] DEG 4 2 4= 4. 5 [ 2nd ] [ d /e ] DEG 4 2 4= 9 2. [ 2nd ] [ d /e ] DEG 4 2 4= 4 1 2. Calculations containing both fractions and decimals are calculated in decimal format. 8 4 + 3. 75 = 12. 55 5 DEG 8 [ a b/c ] 4 [ a b/c ] 5 [ + ] 3. 75 [ ] 8 4 5+3 . 75= 1 2. 5 5 Angle unit conversions The calculator enables you to convert an angle unit among degrees(DEG), radians(RAD), and grads(GRAD). The relation among the three angle units is : 180 ° = rad = 200 grad 1) To change the default setting to another setting, first press [ 2nd ] [ DRG ] key repeatedly until the angle unit you want is indicated in the display. After entering a value, press [ 2nd ] [ DRG ] repeatedly until the unit you want is displayed. = 100 grad. [ 2nd ] [ DRG ] DEG 2) 0. -E14- 90 [ 2nd ] [ DRG ] 90 O RAD = 1. 5 7 0 7 9 6 3 2 6 7 9 [ 2nd ] [ DRG ] GRAD 1 . 5707963267 100. Sexagesimal Decimal transformation The calculator enables you to convert the sexagesimal figure (degree, minute and second) to decimal notation by pressing [ ] or convert the decimal notation to the sexagesimal notation by [ 2nd ] [ ]. [. . . ] There are six items in STAT mode, asking you to select one of them, DEG STAT 1­VAR LIN LOG [ ][ ][ ] DEG STAT EXP PWR D­CL Single­variable statistics 1­VAR Single­variable statistics Paired-variable / Regression statistics -E27- LIN LOG EXP POW D­CL Linear Regression Logarithmic Regression Exponential Regression Power Regression Clear all statistical data y=a+bx y = a + b lnx bx y=a·e b y=a·x Entering data Always make sure you clear statistical data by D­CL before performing statistical calculations. (A) To input single­variable data using the following syntaxes : # # Individual data : [ DATA ] < x value > Multiple data of the same value : [ DATA ] < x value > [ x ] < Number of repeats > (B) To input paired­variable / regression data using the following syntaxes : # # Individual data-set : [ DATA ] < x value > [ ] < y value > Multiple data of the same value : [ DATA ] < x value > [ ] < y value > [ x ] < Number of repeats > (Note) : Even you exit STAT mode, all data are still retained unless you clear all data by selecting D-CL mode. Displaying results 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. Single­variable statistics calculations Variables n([n]) x ( [2nd]+[ x ] ) Sx ( [2nd]+[ Sx ] ) x ( [2nd]+[ x ( [2nd]+[ x ( [2nd]+[ 2 Meaning Number of the x values entered Mean of the x values Sample standard deviation of x values Population standard deviation of x values x ] ) x ] ) Sum of all x values x 2 ]) Sum of all x values 2 CP ( [2nd]+[ CP ] ) Potential capability precision of the x values -E28- Minimum (CPU, CPL) of the x values, where CPU is upper spec. limit of capability CPK ( [CPK] ) precision and CPL is lower spec. [. . . ]