User manual SHARP EL-509H OPERATION EXAMPLES

[. . . ] DEG/RAD/GRAD: Indicates angular units (Degrees, Radians and Grads) and changes each time G is pressed. ' : Appears when statistical mode is selected. M : Indicates that a numerical value is stored in the independent memory. INTRODUCTION Thank you for purchasing the SHARP Fraction/Scientific Calculator Model EL-509H. This calculator will help you understand mathematical concepts behind fraction calculation, such as simplification and reduction. [. . . ] 0. 8 78. 2 SCIENTIFIC CALCULATIONS · Select the normal mode. · In each example, press N to clear the display before performing the calculation. 10P3 5C2 = 10 @q 3 = 5 @Q 2 = @V/ 3 = = = ­ 3 1+1= ­­ 45 4 ÷ 5 = 0. 8. . . (A) N 4 / 5 = 4 × (A) + 60 ÷ (A) = 4 *@?+ 60 / @?= Arithmetic Operations 12+16×3= 350­120÷4= 72×(-12)­150= N 12 + 16 * 3 = 350 - 120 / 4 = 72 *­ 12 - 150 = 4 @· + 5 @·= 200 * 32 @% 60. 30000000. 200 × 32% = Calculating the Greatest Common Factor (G. C. F. ) or Least Common Multiple (L. C. M. ) To calculate the G. C. F. or the L. C. M. , the procedures are as follows: What is the G. C. F. @^ 9 = 150 ÷ 300 = ?% 150 / 300 @% 200 + (200 × 32%) = 200 + 32 @% 300 ­ (300 × 25%) = 300 - 25 @% (5+21)×(30­16)= ( 5 + 21 )* ( 30 - 16 )= (6×103)÷(2×10-4)= ( 6 E 3 )/ ( 2 E­ 4 )= 24_ 24GCF36_ 12. 15_ 15LCM9_ 45. Random Numbers A pseudo-random number with three significant digits can be generated by pressing @`=. To generate the next random number, press =. Constant Calculations In constant calculations, the addend becomes a constant. Subtraction and division are performed in the same manner. For multiplication, the multiplicand becomes a constant. 245+60= 12+60= 150­20= 250­20= 200÷4= 180÷4= 15×3= 15×10= N 245 + 60 = N 212 + 60 = 150 - 20 = 250 - 20 = 200 / 4 = 180 / 4 = 15 * 3 = 15- 10 = Angular Unit Conversions Each time @g are pressed, the angular unit changes in sequence. 90° [rad] [g] [°] sin­10. 8 = [°] [rad] [g] [°] N 90 @g @g @g @S 0. 8 = @g @g @g Calculating Quotient and Remainder ": Calculates the quotient and remainder. 23 ÷ 5 (R: Remainder) 9. 5 ÷ 4 ­32 ÷ (­5) N 23 @" 5 = 9. 5 @" 4 = ­ 32 @"­ 5 = 23`5_ 4. 53. 13010235 0. 927295218 59. 03344706 53. 13010235 9. 5`4_ R1. 5 ­32`­5_ 6. R­2. Memory Calculations This calculator has two memory allocations: independent memory (M), and last answer memory (ANS). x2 = 285500. 5 4­ = 6 [A. xxx] [A/B] 1÷3= [A/B] 6÷5= [A/B] [AB/C] [A. xxx] 1. 25 + 2 = ­ 5 [AB/C] N45Ø6= ø æ 1/3= æ 6/5= æ º ø 1. 25 + 2 Ø 5 = º ª== 4¬5/6 ¬ 4. 833333333 29/6 0. 333333333 1/3 SIMP SIMP * If you do not know a common factor, press =. The greatest common factor "6" will be displayed. [Manual Simplification] 1 + -- = N 1 Ø 3 + 2 Ø 12 = SIMP 6/12 ­2 3 12 ªFACTOR?SIMP 6/12 SIMP 23/6 2 =* ª3= 1/2 1. 2 12/10 1¬2/10 ¬ 1. 2 1. 65 SIMP1¬65/100 ¬ 1¬13/20 ¬ * "2" is entered as a factor, and the "SIMP" will be displayed to indicate further simplification of the fraction. If the entered value is not a common factor, the cursor will be set under the value. Press d to clear the value, then enter a correct common factor. Press N to return to the "FACTOR?" display. Now that you have learned how to reduce a fraction to its simplest form, you can start using your calculator to perform fraction calculations quickly and efficiently. 51 ­ + -- = N 5 Ø 6 + 1 Ø 14 = 6 14 =* SIMP 38/42 STATISTICAL CALCULATIONS To enter the statistical mode, press @". The indicator symbol ' will light up. The following statistics can be obtained: ­ x : Mean of samples (x) sx : x : n: x : x2 : Standard deviation of samples (x) Population standard deviation of samples (x) Number of samples Sum of samples (x) Sum of the squares of samples (x) · If both the resulting digits and the function name (such as x=) cannot be contained in the display, only the resulting value will be displayed; the function name will not be displayed. Statistical Calculation Formulas x = x n sx = x2 ­ nx2 n­1 x = x2 ­ nx2 n x = x1 + x2 + ··· + xn x2 = x12 + x22 + ··· + xn2 (n: number of samples) 19/21 * If = is pressed instead of ª, the number will automatically be reduced down to its simplest form with the greatest common factor. Entering Data To enter sample data, use the numeric keys and press k(O key) after each value. To enter data with its frequency, use the numeric keys to enter the value, then press §(R key), enter the frequency, then press k. Enter the data "7" N@" @c 7 k There are 13 students who scored 70 in the test, and 5 students who scored 50. [. . . ] y < 0: x = n (0 < |x| < 1: ­ = 2n­1, x 0)*, x ­10100 < xlog |y| < 100 1 . y > 0: ­10100 < ­ logy < 100 (x 0) x . y < 0: x = 2n­1 (0 < |x| < 1: ­ = n, x 0)*, x 1 ­10100 < ­ log |y| < 100 x ­10100 < x 230. 2585092 ­10100 < x < 100 |x| < 1050 0 x < 10100 |x| < 10100 (x 0) 0 n 69* 0 r n 69* DEGRAD, GRADDEG : |x| < 10100 RADGRAD : |x| < ­ × 1098 2 When to Replace the Batteries If the display has poor contrast or nothing appears on the display even when N is pressed, it is time to replace the batteries. Caution · Fluid from a leaking battery accidentally entering an eye could result in serious injury. Should this occur, wash with clean water and immediately consult a doctor. [. . . ]