CALCULATOR SKILLS All calculations can be made without writing down intermediate steps. Writing down intermediate steps introduces the possibility of error due to rounding. Below are some of the more useful keys using the Casio Fx-82 calculator. If you have a different calculator you will need to refer to the handbook. Your calculator has several different modes for you to work in. You will beMODE be working in mode 1 which is comp (computation). Just press the mode key then 1. SHIFT The shift key allows you to perform the operations shown in orange above the main calculator keys. Just press shift, then the key under the operation that you wish. AC DEL All Clear except memory Clears last number entered. If an operation is entered incorrectly, simply enter the correct one. The brackets keys enable you to perform an operation in the order in which it is written without recording intermediate steps, or using the memory. There are several memory facilities in the calculator. The calculator has memories M, A, B, C, D, E, and F, all of which are shown in red on the keypad. ( ) M shift Always remember to clear the memory first by pressing Msh M + STO RCL adds the number on display to memory M stores a number into a memories A to F recalls a number from a memory e.g. To add 123, 456, 789 into memory M enter: Shift AC 123 M+ 456 M+ 789 M+ To recall the answer enter AC 1 Updated Feb 2013 RCL M AC e.g. To enter 999 into memory A enter: 999 AC To recall the number from memory A enter: AC ANS STO O RCL L A A The answer key allows you to perform an operation on the previous answer. is used to enter numbers in scientific notation EXP e.g. To enter 8.4 X 10 5 : enter 8.4 EXP There are several other Exponent or Power Keys. Do not get them mixed up with the which multiplies a number by a power of 10. raises a number x to the power of y. X Y e.g. To find 53 enter: X 5 (-) X 2 3= Y squares any number e.g. To find 32 enter 3 X 1 x ( (some calculators use y ) finds the root of a number. x e.g. To find the 4th root of 16 enter: 4 4x 16 = finds the cube root of a number 3 e.g. To find the cube root of 125 enter 3 125 = finds the square root of a number e.g. To find the square root of 49 enter: 2 -1 ( some calculators use ) ) finds the reciprocal of a number x e.g. To find 1 enter: 32 32 -1 x = 2 Updated Feb 2013 49 = EXP ab allows you to enter fractions, to convert fractions to decimals and decimals c o to fractions. 2 4 e.g. 1 3 5 Enter: 1 ab 2 2 ab c 3 c To convert the answer to a decimal you press ab 4 + ab 5= c again c Scientific Calculators follow the standard order of operations BEDMAS Examples (2.64 1.38) 3 Enter ( 3.6 2 8.5 Enter 1 3.75 4.16 2 2 2.64 - 3.6 X Enter 3.75 2 x2 ) 1.38 X Y 3 = 8.5 = - 4.16 4.16 = 2 x + = ANS Calculator skills exercises 1. a) (2.3+3.7) (4.6+2.4) b) 2.60 3.40 1.70 c) 4 23 2 52 d) 4 15 5 12 e) 3(65.3 (2.6+8.1)) f) 2 23 1 78 g) 1 15 1 14 h) 2. a) c) 2 3 (use Brackets) 15 2 3.6 10 4 2.3 103 b) 2.6 102 3.87 101 2.64 103 (1.6 10 4 ) d) 2.37 101 4.67 102 3 Updated Feb 2013 x-1 = 3. a) If p( x) x 4 2 x 3 14 x 2 50 , find p(7.6) and p(10) . b) 4. a) If f ( x) 2 x 3 3x 2 4 x 1, find f (7.0) and f (1.6). 1977 24 b) (7.43 105 ) 3 c) e) 3.654 4 165.2 f) 1 d) g) j) 5. a) d) 20019 1 6 2 4 5 (6.2 10 ) 5 3 4.7 103 26.5 4 3.77 2 48.2 2 5.614 1 5 4 h) (3.0 10 ) i) (2.8110 ) 3.87 4.26 1 873.2 b) 1 6.023 10 23 e) 1 4.093 10 16 c) 1 0.0000362 1 1 8.0(5.5 10 11 ) 5 6. a) 2 3 4 b) (2 3) 4 c) 2 3 4 d) 2 32 e) (2 3)2 f) 2 70 10 h) 6 2 4 i) 6 (2 4) g) 2 (70 10) j) Study the order in which the operations are carried out in the following: i) ( 8 + 4 ) ( 4 3 ) ii) 8 + 4 = 4 3 = Ne 2 k) Calculate the value of when: 2r N 6.02 10 23e 4.80 1010 r 2.12 10 8 4 Updated Feb 2013 84 43 l) Calculate the value of G 6.670 10 8 Gmn when: r2 m 1.67 10 24 n 9.1110 28 r 0.53 10 8 7. Evaluate: a) 3.4 2 2.6 2 1.8 2 9.32 b) 4.6 2 3.8 d) (7.4 1.36) 2 (2.78 3.41) 3 1.63 2.95 0.44 2.732 f) 4.8 3.9 0.133 3.2 6 2.55 1.7 4 h) 1 (3.8 2.6 2 ) 3 4.8 3.7 c) 2.9 1.2 e) g) 3 2 2 Calculator skills exercises solutions 1. c) 11.2 or 11 1 a) -1.0 b) 1.53 e) 163.8 f) 4.54 or 4 13 g) 0.96 or 2. a) 3.8 104 b) -0.361 c) 1.7 107 3. a) 3500 6700 4. a) 1.271 1079 b) 2.44 10-18 c) 17 d) 2.327 e) 636 f) 1.48 104 g) 9.2 10-17 h) 1.7 103 i) 0.073 j) 1.75 5. 5 24 (2sf) h) 0.57 or 3 10 17 30 d) 0.0111 b) 570 5.9 (2sf) a) 1.145 10-3 b) 2.441 1015 d) 1.660 10-24 e) 14 5 Updated Feb 2013 24 25 d) -1.3 or -1 c) 2.76 104 6. 7. a) 14 b) 20 c) 20 d) 18 e) 36 f) 14 g) 14 h) 8 i) 0 j) 1.1 k) 3.27 1012 l) 3.6 10-42 a) 0.20 e) 0.56 b) 4.2 f) 3.0 c) 26 g) 4.9 6 Updated Feb 2013 d) 0.l5 h) 0.0022
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