NOTE MATH FORM 3 - INDICES

Click here to load reader

download NOTE MATH FORM 3 - INDICES

of 47

  • date post

    27-May-2015
  • Category

    Documents

  • view

    23.255
  • download

    35

Embed Size (px)

Transcript of NOTE MATH FORM 3 - INDICES

  • 1. Friday, January 25, 2013 AIRIL AHMAD

2. Friday, January 25, 2013 INDICES HJ. AIRIL AHMAD AIRIL AHMAD 3. Friday, January 25, 20136223= 2 x 2 x 284 3 2.5 x 2.5 x 2.57 5x5x5x5x5x5x5AIRIL AHMAD 4. Friday, January 25, 2013 Indices is read as 3 to the power4 3 of 4 where 3 is the base and 4 is the index.AIRIL AHMAD 5. Friday, January 25, 2013 Repeated Multiplication 63= 6 x 6 x 6 25= 2 x 2 x 2 x 2 x 2 (-g)4= (-g) x (-g) x (-g) x (-g) (3y)3= (3y) x (3y) x (3y)AIRIL AHMAD 6. Friday, January 25, 2013 Repeated Multiplication 9x9x9= 25 x 25 x 25 x 25 x 25 = (-kg) x (-kg) x (-kg) x (-kg)= (6w) x (6w) x (6w) =AIRIL AHMAD 7. Friday, January 25, 2013By using the calculator find the values of the following indices 1. 65 = 6. ()5 = 2. (-12)4 = 7. (-) 4 = 3. (2.4)4 = 8. ()4 = 4. 153 =9. (/3)3 = 5. (32.9)2 =10. (50)4 = AIRIL AHMAD 8. Friday, January 25, 2013 Expressing a certain number in the index notation. Example 1: Express 32 Example 2: Express 625 inin the index notationthe index notation withwith base 2. base 5.2325 6252165 1252 852522421 2 5 5 5 1 54AIRIL AHMAD 9. Friday, January 25, 2013ExerciseExpress each of the following in the index notation with the base given in the brackets1. 16 (base 2) 6. 243 (base 3)2. 81 (base 3) 7. 216 (base 6)3. 64 (base 2) 8. 343 (base 7)4. 125 (base 5)9. 128 (base 2)5. 256 (base 4)10. 10 000 (base 10)AIRIL AHMAD 10. Friday, January 25, 2013MULTIPLICATION OF NUMBERS ININDEX NOTATIONHJ. AIRIL AHMADAIRIL AHMAD 11. Friday, January 25, 2013 Example: 1. 32 x 33 = 3 x 3 33 3 x 3 3 3 3 x 3 x =35 5times 2. 93 x 94 = 9 9 9 9 9 9 9 =97 x x x x x x 7 times AIRIL AHMAD 12. Friday, January 25, 2013 Example: 3. g 4 x g5 =g g g g xggxggxggxgg xgg gxgxgxg =g9 9 times 4.1518 x 1514 =AIRIL AHMAD 13. Friday, January 25, 2013 Verify a x a = amn m+n 1.5 x 5 = 4 5 54+5 = 59 2.h11 x h18 =h11+18 =h29 AIRIL AHMAD 14. Friday, January 25, 2013 Exercise Pg 103 Ex.5.2A 1abcdef 2abc AIRIL AHMAD 15. Friday, January 25, 2013 MULTIPLICATION OF NUMBERS OR ALGEBRAIC TERMSWITH THE SAME BASE HJ. AIRIL AHMAD AIRIL AHMAD 16. Friday, January 25, 2013 Example:1. 3a2 x2a = 3(3x2) a2+3 =6a52.6f5 x 2f3=(6x2) f5+3 =12f83.4m2 x 2m9=(4x2) m2+9 =8m114.8z9 x 3z3=(8x3) z9+3 =24z12 AIRIL AHMAD 17. Friday, January 25, 2013 Exercise:1. 9d2 x 2d10= (9x2) d2+10 =18d122. 10n4 x 2n3=(10x2) n4+3 =20n73.4w2 x w14=(4x1) w2+14 =4w164. z19 x 34z3=(1x34) z19+3 =34z22 AIRIL AHMAD 18. Friday, January 25, 2013 Simplify multiplication of numbers or algebraic terms with different bases Example: 1. 32 x 23 x 34 x 27=3 2+4 x 23+7 =36 x 210 2. k x m x k x m= 568 7 k 5+8 x m6+7 =k13 x m13 3. ()9 x ()4 x ()12 x ()9= AIRIL AHMAD 19. Friday, January 25, 2013 Exercise Pg 104 Ex.5.2B 1-10 AIRIL AHMAD 20. Friday, January 25, 2013DIVISION OFNUMBERS IN INDEX NOTATIONHJ. AIRIL AHMADAIRIL AHMAD 21. Friday, January 25, 2013 Verify a a = amn m-n 1.57 5 = 5 57-5 = 52 2.h21 h18 =h21-18 = h3 AIRIL AHMAD 22. Friday, January 25, 2013 Example:1. 35 33 =2. k14 k5 =3. 99 94 = 4. 1518 1514 =AIRIL AHMAD 23. Friday, January 25, 2013 Exercise Pg 106 Ex.5.3A 1abcdef 2ab AIRIL AHMAD 24. Friday, January 25, 2013 Exercise:1. 9d 3d = 122(9 3) d12-2 =3d102. 10n4 2n3= (10 2) n4-3 =5n13. 40w27 4w14= (40 4) w27-14 =10w134. 25z19 5z3=(25 5) Z19-3 =5z16 AIRIL AHMAD 25. Friday, January 25, 2013 Exercise Pg 106 Ex.5.3A 2cdefgh 3abcd AIRIL AHMAD 26. Friday, January 25, 2013 RAISING NUMBERSAND ALGEBRAICTERMS IN INDEX NOTATION AIRIL AHMAD AIRIL AHMAD 27. Friday, January 25, 2013 Verify (a ) = a m nmn 1.(5 ) = 7 5 57x5 =535 2.(h20)8 = h20x8 = h160AIRIL AHMAD 28. Friday, January 25, 2013 3. (2c ) =7 5 2 1x5 c7x5 = 25c354. (32h8)8 = 3 2x8 h8x8 = 316h64AIRIL AHMAD 29. Friday, January 25, 2013 Exercise Pg108 Ex.5.4A 1-8 AIRIL AHMAD 30. Friday, January 25, 2013 Exercise Pg109 Ex.5.4B Question 1only AIRIL AHMAD 31. Friday, January 25, 2013 AIRIL AHMAD 32. Friday, January 25, 2013COMPUTATIONSINVOLVING NEGATIVE INDICESHJ. AIRIL AHMADAIRIL AHMAD 33. Friday, January 25, 20131 Verify a =-nan 1.1 8 = -778 2.f -2=12f AIRIL AHMAD 34. Friday, January 25, 2013 Exercise Pg 112 Ex.5.5A 1 AND 2 AIRIL AHMAD 35. Friday, January 25, 2013PERFORM COMPUTATIONSINVOLVING NEGATIVE INDICESExample:1. 2-2 x 2-4 = 2-2+ (-4) =2-2-4 = 2-62. 7-5 7-2 = 7-5 - (-2) = 7-5+2 = 7-33. (8-2)-4 = 8-2 x (-4) = 88 AIRIL AHMAD 36. Friday, January 25, 2013 E xercise Pg 113 Ex.5.5B Question1-8 AIRIL AHMAD 37. Friday, January 25, 2013 AIRIL AHMAD 38. Friday, January 25, 2013COMPUTATIONSINVOLVING FRACTION INDICESHJ. AIRIL AHMADAIRIL AHMAD 39. Friday, January 25, 2013 ( a) mm n Verify a =n mpoweranroot AIRIL AHMAD 40. Friday, January 25, 2013( a)mmnVerify a =n 1.8 = ( 8)41 2.f =( f)43AIRIL AHMAD 41. Friday, January 25, 2013Change to root notation: 1.12. 125 =2 27 = 3 3.14. 132 =549 = 2 AIRIL AHMAD 42. Friday, January 25, 2013 Calculate the values using calculator: ( 81) 1.Press 1.1 1 81 = 2.Press 8122 3.Press = 4.Press ^ =95.Press 1 6.Press = AIRIL AHMAD 43. Friday, January 25, 2013 1.Press 4 ( 81)2.12.Press shift ^ 1 81 = 44 3.Press 81 4.Press = 5.Press ^ =36.Press 1 7.Press =AIRIL AHMAD 44. Friday, January 25, 2013Example: Calculate the values: 1. 12.1 25 227 3 3.14. 132549 2 AIRIL AHMAD 45. Friday, January 25, 2013 Exercise Pg118 Ex.5.6D 1 - 10 AIRIL AHMAD 46. Friday, January 25, 2013 Exercise Pg 117 Ex.5.6C 1 2 3 5 6 7 8 AIRIL AHMAD 47. Friday, January 25, 2013 Exercise Pg117 Ex.5.6C 1 - 8 AIRIL AHMAD