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CHAPTER 4:
 DECIMAL

  FORM 1


   ENTER
Main Menu




INTRODUCTION


 CONTENT



 TUTORIAL
       summar
          y
 SUMMARY
introduction
Pyramid of Egypt




The use of decimals in daily life
Pyramid of Egypt




The use of decimals in daily life
By the end of this lesson, you
         will able to;
                         1      1
•   Represent fractions 10 and 100 as
    decimals and vice-versa.
•   Represent fractions with denominators
    10,100 and 1000 as decimals.
•   Read and write decimals to thousandths.
•   Change fractions to decimals and vice-
    versa.
CONTENTS
      RELATIONSHIP BETWEEN DECIMALS AND
                  FRACTIONS




  REPRESENT                        CHANGING
 FRACTION AS                      FRACTIONS TO
DECIMALS AND                      DECIMALS AND
  VICE VERSA                       VISE VERSA
             REPRESENT FRACTIONS
              WITH DENOMINATOR
                 10, 100, 1000 AS
                   DECIMALS
REPRESENT FRACTION AS
DECIMALS AND VICE VERSA
DIAGRAM    DESCRIPTION

           THE SHADED PART
          IS ONE PART OUT OF
              TEN PARTS

                           0.1
             1          10 1.0
               = ÷
                1 10       0
            10             1 0
               =0.1        1 0
                             0
DIAGRAM    DESCRIPTION

           THE SHADED PART
          IS ONE PART OUT OF
              TEN PARTS

                           0.1
             1          10 1.0
               = ÷
                1 10       0
            10             1 0
               =0.1        1 0
                             0
DIAGRAM   DESCRIPTION


          THE SHADED PART IS
           27 PART OUT OF 100
                 PARTS

                                0.27
           27              100 27.00
              = 27 ÷ 100       0
          100                 270
                              200
              = 0. 27          700
                               700
                                  0
DIAGRAM   DESCRIPTION


          THE SHADED PART IS
           27 PART OUT OF 100
                 PARTS

                                0.27
           27              100 27.00
              = 27 ÷ 100       0
          100                 270
                              200
              = 0. 27          700
                               700
                                  0
HOW TO READ AND
WRITE DECIMALS

Decimals       Read and write as:

  0.47
            Zero point four seven
  3.59     Three point five nine

 38.24     Thirty-eight point two four

 4.073     Four point zero seven three
HOW TO READ AND
WRITE DECIMALS

Decimals       Read and write as:

  0.47
            Zero point four seven
  3.59     Three point five nine

 38.24     Thirty-eight point two four

 4.073     Four point zero seven three
REPRESENT FRACTIONS
WITH DENOMINATOR 10,
100, 1000 AS DECIMALS
Any fraction with
denominator 10, 100 and 1
000 can be expressed in
decimals.

Decimals    0.1   0.01   0.001

Fractions    1     1       1
            10    100    1000
Any fraction with
denominator 10, 100 and 1
000 ca be expressed in
decimals.

Decimals    0.1   0.01   0.001

Fractions    1     1       1
            10    100    1000
1   2
Express the following in decimals forms.

Example 1        7
                10

Solution         7          1 digit to the right
                   = 0 .7      of the decimal
                10


            1 zero in the
            denominator
Express the following in decimals forms.

Example 1        7
                10

Solution         7          1 digit to the right
                   = 0 .7      of the decimal
                10


            1 zero in the
            denominator
Express the following in decimals forms.

           34
Example 2
          100


Solution    34            2 digit to the right
               = 0 . 34      of the decimal
           100


       2 zero in the
       denominator
Express the following in decimals forms.

           34
Example 2
          100


Solution    34            2 digit to the right
               = 0 . 34      of the decimal
           100


       2 zero in the
       denominator
CHANGING FRACTIONS TO
DECIMALS AND VISE VERSA
To change a fraction to a
                      decimals
     Rule : Divide the numerator by the denominator
ample 1 : Change the following fraction into decimals
                           3
                                             0.75
                           4               4 3.00
  Solution :     3                           0
                   = 3÷ 4                    3 0
                 4                           2 8

                   = 0 . 75                    20
                                               20
                                                 0
To change a fraction to a
                      decimals
     Rule : Divide the numerator by the denominator
ample 1 : Change the following fraction into decimals
                           3
                                             0.75
                           4               4 3.00
  Solution :     3                           0
                   = 3÷ 4                    3 0
                 4                           2 8

                   = 0 . 75                    20
                                               20
                                                 0
Example 2 : Change the following fraction into
           decimals
                             1
                           1
                             5

                 1 6
   Solution :   1 =                    1 .2
                                     5 6 .0
                 5 5                   5
                  = 6 ÷5               1 0
                                       1 0
                  = 1.2                  0
Example 2 : Change the following fraction into
           decimals
                             1
                           1
                             5

                 1 6
   Solution :   1 =                    1 .2
                                     5 6 .0
                 5 5                   5
                  = 6 ÷5               1 0
                                       1 0
                  = 1.2                  0
To change a decimals to a
               fraction
 Rule :
 Express the decimals as a fraction
 by the denominator by using 10, 100 and 1000.
Example 1 : Change the following decimals into
            fraction
                          0.04

Solution : 0 . 04 =
                      4
                    100          2 zero

       2 digit       1
                  =
                    25
To change a decimals to a
               fraction
 Rule :
 Express the decimals as a fraction
 by the denominator by using 10, 100 and 1000.
Example 1 : Change the following decimals into
            fraction
                          0.04

Solution : 0 . 04 =
                      4
                    100          2 zero

       2 digit       1
                  =
                    25
Example 2 : Change the following decimals
            into fraction

                         2.25

Solution :        2 .25 = 2 + 0 .25
                               25
             2 digit = 2 +
                              100     2 zero
                            1
                        =2
                            4
Example 2 : Change the following decimals
            into fraction

                         2.25

Solution :        2 .25 = 2 + 0 .25
                               25
             2 digit = 2 +
                              100     2 zero
                            1
                        =2
                            4
Example 3 : Change the following decimals
            into fraction

                     0.075


Solution :               75
                0.075 =
                        1000      3 zero
             3 digit    3
                     =
                        40
Example 3 : Change the following decimals
            into fraction

                     0.075


Solution :               75
                0.075 =
                        1000      3 zero
             3 digit    3
                     =
                        40
TUTORIAL
Instruction
• Form the group consist of 5 or 6
  members.
• Each group are given 5 points.
• The group that want to answer the
  question need to show the number of
  group first. The faster one can answer the
  questions.
• The correct answer get 5 points but
  uncorrect answer will deduct 3 points.
• The winner get the reward.
8 7   6   5

                  4


              3


1         2
1       Write the following decimals in words

                           9. 99




        A. Nine   point   nine nine nine
        B. Nine   point   nine nine
        C. Nine   point   ninety nine
        D. Nine   point   nine

    1     2   3      4      5   6    7     8
1   Write the following decimals in words

                       9. 99




    A. Nine   point   nine nine nine
    B. Nine   point   nine nine
    C. Nine   point   ninety nine
    D. Nine   point   nine
TRY AGAIN?
ANSWER




1   2   3   4   5   6   7   8
2 Express the following decimals as
  numerals


       Zero point three six eight



     A. 0.068
     B. 0.638
     C. 0.863
     D. 0.368


 1       2      3   4   5   6   7   8
2 Express the following decimals as
  numerals


    Zero point three six eight



     A. 0.068
     B. 0.638
     C. 0.863
     D. 0.368
TRY AGAIN?
ANSWER




1   2   3   4   5   6   7   8
3 Write the following fraction as a decimals
                        3
                  ξ   3
                        4



        A. 3.53
        B. 3.75
        C. 3.25
        D. 3.34



    1     2   3   4    5    6   7   8
3 Write the following fraction as a decimals

                    3
                  3
                    4
                                      3.75
                                   4 15.00
                     3 15            12
     A. 3.53        3 =               30
                     4 4              20
     B. 3.75                           20
     C. 3.25          = 15 ÷ 4         20
                                         0
     D. 3.34           = 3.75
TRY AGAIN?
ANSWER




1   2   3   4   5   6   7   8
4 Convert the following decimal into
  fraction or mixed number to its lowest
  terms
                   2.85



 A.     17         B.         5
      2                     2
        20                    8

C.        7                    85
      2            D.     2
          20                  100

 1    2    3   4   5    6     7   8
4 Convert the following decimal into
     fraction or mixed number to its lowest
     terms
                         2.85
2.85 = 2 + 0.85
            85
     =2 +         A.      17    B.     5
           100          2            2
                          20           8
         17
     =2
         20
                  C.                      85
                        2
                          7     D.   2
                          20             100
TRY AGAIN?
ANSWER




1   2   3   4   5   6   7   8
∈




    5
          0.770 as a fraction is




    A.      107           B.
                                    77
            100                    100

    C.      77                      70
                          D.
           1000                    1000

    1      2      3   4   5    6    7     8
5
      0.770 as a fraction is
                                        770
                               0.770 =
                                       1000
                                       77
                                    =
                                      100
A.    107          B.
                          77
      100                100

C.     77                70
                   D.
      1000              1000
TRY AGAIN?
ANSWER




1   2   3   4   5   6   7   8
17
6 Express 9
            1000 as a decimals
                   ξ




        A. 9.17
        B. 9.017
        C. 9.071
        D. 0.917



    1     2   3    4   5   6   7   8
17
6 Express 9
            1000 as a decimals
                ξ



                       17         17
                    9       =9+
                      1000       1000
     A. 9.17           = 9 + 0.017
     B. 9.017         = 9.017
     C. 9.071
     D. 0.917
TRY AGAIN?
ANSWER




1   2   3   4   5   6   7   8
7 1.987 can read as

                         ξ




        A. One   point   ninety eight seven
        B. One   point   nine eighty seven
        C. One   point   nine eight seven
        D. One   point   eight seven nine



    1     2      3   4       5   6   7   8
7 1.987 can read as




     A. One   point   ninety eight seven
     B. One   point   nine eighty seven
     C. One   point   nine eight seven
     D. One   point   eight seven nine
TRY AGAIN?
ANSWER




1   2   3   4   5   6   7   8
8 Which of the following fraction is
  equivalent to 0.625?



                              5
    A.   1           B.
                              8
         4
                 ξ
   C.                         5
         1           D.
                              6
         3


    1    2   3   4   5    6   7   8
8 Which of the following fraction is
  equivalent to 0.625?
                                         625
                                0.625 =
                                        1000
                                        5
                          5          =
    A.   1           B.                 8
                          8
         4
                 ξ
   C.                     5
         1           D.
                          6
         3
TRY AGAIN?
ANSWER




1   2   3   4   5   6   7   8
SUMMARY
DECIMALS

A DECIMALS REPRESNTS A FRACTION WHOSE
DENOMINATOR IS 10, 100, 1000 (multiple of 10)

                 3
                   = 3 ÷ 4 = 0.75
                 4
    FRACTION                          DECIMALS

                          75
                  0.75 =
                         100
                         3
                       =
                         4
BIODATA


          Nur Fatihah Bt Abdullah
          Practicum Teacher
          (09 – 00)
          Mathematic Education
          Universiti Pendidikan
          Sultan Idris
Main Menu




  Developed by :
   Nur fatihah
    Abdullah
   Special For
SMS Muzaffar Syah
    (MOZAC)
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Mathf1 decimal

  • 1. WELCOME AND THANK YOU FOR USING THIS MODUL. PLEASE SELECT… User’s Manual The Module About Author
  • 2. User’s manual : Click this button to go to home Click this button to go to list of content Button to go to next slide Button to go to previous slide
  • 3. Main Menu Button to go back to main slide of each subtopic Button to go back to main slide of tutorial Button to go back to main slide of all question Button to go back to question
  • 4.
  • 5. CHAPTER 4: DECIMAL FORM 1 ENTER
  • 6. Main Menu INTRODUCTION CONTENT TUTORIAL summar y SUMMARY
  • 8. Pyramid of Egypt The use of decimals in daily life
  • 9. Pyramid of Egypt The use of decimals in daily life
  • 10. By the end of this lesson, you will able to; 1 1 • Represent fractions 10 and 100 as decimals and vice-versa. • Represent fractions with denominators 10,100 and 1000 as decimals. • Read and write decimals to thousandths. • Change fractions to decimals and vice- versa.
  • 11. CONTENTS RELATIONSHIP BETWEEN DECIMALS AND FRACTIONS REPRESENT CHANGING FRACTION AS FRACTIONS TO DECIMALS AND DECIMALS AND VICE VERSA VISE VERSA REPRESENT FRACTIONS WITH DENOMINATOR 10, 100, 1000 AS DECIMALS
  • 13. DIAGRAM DESCRIPTION THE SHADED PART IS ONE PART OUT OF TEN PARTS 0.1 1 10 1.0 = ÷ 1 10 0 10 1 0 =0.1 1 0 0
  • 14. DIAGRAM DESCRIPTION THE SHADED PART IS ONE PART OUT OF TEN PARTS 0.1 1 10 1.0 = ÷ 1 10 0 10 1 0 =0.1 1 0 0
  • 15. DIAGRAM DESCRIPTION THE SHADED PART IS 27 PART OUT OF 100 PARTS 0.27 27 100 27.00 = 27 ÷ 100 0 100 270 200 = 0. 27 700 700 0
  • 16. DIAGRAM DESCRIPTION THE SHADED PART IS 27 PART OUT OF 100 PARTS 0.27 27 100 27.00 = 27 ÷ 100 0 100 270 200 = 0. 27 700 700 0
  • 17. HOW TO READ AND WRITE DECIMALS Decimals Read and write as: 0.47 Zero point four seven 3.59 Three point five nine 38.24 Thirty-eight point two four 4.073 Four point zero seven three
  • 18. HOW TO READ AND WRITE DECIMALS Decimals Read and write as: 0.47 Zero point four seven 3.59 Three point five nine 38.24 Thirty-eight point two four 4.073 Four point zero seven three
  • 19. REPRESENT FRACTIONS WITH DENOMINATOR 10, 100, 1000 AS DECIMALS
  • 20. Any fraction with denominator 10, 100 and 1 000 can be expressed in decimals. Decimals 0.1 0.01 0.001 Fractions 1 1 1 10 100 1000
  • 21. Any fraction with denominator 10, 100 and 1 000 ca be expressed in decimals. Decimals 0.1 0.01 0.001 Fractions 1 1 1 10 100 1000
  • 22. 1 2
  • 23. Express the following in decimals forms. Example 1 7 10 Solution 7 1 digit to the right = 0 .7 of the decimal 10 1 zero in the denominator
  • 24. Express the following in decimals forms. Example 1 7 10 Solution 7 1 digit to the right = 0 .7 of the decimal 10 1 zero in the denominator
  • 25. Express the following in decimals forms. 34 Example 2 100 Solution 34 2 digit to the right = 0 . 34 of the decimal 100 2 zero in the denominator
  • 26. Express the following in decimals forms. 34 Example 2 100 Solution 34 2 digit to the right = 0 . 34 of the decimal 100 2 zero in the denominator
  • 28. To change a fraction to a decimals Rule : Divide the numerator by the denominator ample 1 : Change the following fraction into decimals 3 0.75 4 4 3.00 Solution : 3 0 = 3÷ 4 3 0 4 2 8 = 0 . 75 20 20 0
  • 29. To change a fraction to a decimals Rule : Divide the numerator by the denominator ample 1 : Change the following fraction into decimals 3 0.75 4 4 3.00 Solution : 3 0 = 3÷ 4 3 0 4 2 8 = 0 . 75 20 20 0
  • 30. Example 2 : Change the following fraction into decimals 1 1 5 1 6 Solution : 1 = 1 .2 5 6 .0 5 5 5 = 6 ÷5 1 0 1 0 = 1.2 0
  • 31. Example 2 : Change the following fraction into decimals 1 1 5 1 6 Solution : 1 = 1 .2 5 6 .0 5 5 5 = 6 ÷5 1 0 1 0 = 1.2 0
  • 32. To change a decimals to a fraction Rule : Express the decimals as a fraction by the denominator by using 10, 100 and 1000. Example 1 : Change the following decimals into fraction 0.04 Solution : 0 . 04 = 4 100 2 zero 2 digit 1 = 25
  • 33. To change a decimals to a fraction Rule : Express the decimals as a fraction by the denominator by using 10, 100 and 1000. Example 1 : Change the following decimals into fraction 0.04 Solution : 0 . 04 = 4 100 2 zero 2 digit 1 = 25
  • 34. Example 2 : Change the following decimals into fraction 2.25 Solution : 2 .25 = 2 + 0 .25 25 2 digit = 2 + 100 2 zero 1 =2 4
  • 35. Example 2 : Change the following decimals into fraction 2.25 Solution : 2 .25 = 2 + 0 .25 25 2 digit = 2 + 100 2 zero 1 =2 4
  • 36. Example 3 : Change the following decimals into fraction 0.075 Solution : 75 0.075 = 1000 3 zero 3 digit 3 = 40
  • 37. Example 3 : Change the following decimals into fraction 0.075 Solution : 75 0.075 = 1000 3 zero 3 digit 3 = 40
  • 39. Instruction • Form the group consist of 5 or 6 members. • Each group are given 5 points. • The group that want to answer the question need to show the number of group first. The faster one can answer the questions. • The correct answer get 5 points but uncorrect answer will deduct 3 points. • The winner get the reward.
  • 40. 8 7 6 5 4 3 1 2
  • 41. 1 Write the following decimals in words 9. 99 A. Nine point nine nine nine B. Nine point nine nine C. Nine point ninety nine D. Nine point nine 1 2 3 4 5 6 7 8
  • 42. 1 Write the following decimals in words 9. 99 A. Nine point nine nine nine B. Nine point nine nine C. Nine point ninety nine D. Nine point nine
  • 44. ANSWER 1 2 3 4 5 6 7 8
  • 45. 2 Express the following decimals as numerals Zero point three six eight A. 0.068 B. 0.638 C. 0.863 D. 0.368 1 2 3 4 5 6 7 8
  • 46. 2 Express the following decimals as numerals Zero point three six eight A. 0.068 B. 0.638 C. 0.863 D. 0.368
  • 48. ANSWER 1 2 3 4 5 6 7 8
  • 49. 3 Write the following fraction as a decimals 3 ξ 3 4 A. 3.53 B. 3.75 C. 3.25 D. 3.34 1 2 3 4 5 6 7 8
  • 50. 3 Write the following fraction as a decimals 3 3 4 3.75 4 15.00 3 15 12 A. 3.53 3 = 30 4 4 20 B. 3.75 20 C. 3.25 = 15 ÷ 4 20 0 D. 3.34 = 3.75
  • 52. ANSWER 1 2 3 4 5 6 7 8
  • 53. 4 Convert the following decimal into fraction or mixed number to its lowest terms 2.85 A. 17 B. 5 2 2 20 8 C.  7 85 2 D. 2 20 100 1 2 3 4 5 6 7 8
  • 54. 4 Convert the following decimal into fraction or mixed number to its lowest terms 2.85 2.85 = 2 + 0.85 85 =2 + A. 17 B. 5 100 2 2 20 8 17 =2 20 C.  85 2 7 D. 2 20 100
  • 56. ANSWER 1 2 3 4 5 6 7 8
  • 57. 5 0.770 as a fraction is A. 107 B. 77 100 100 C.  77 70 D. 1000 1000 1 2 3 4 5 6 7 8
  • 58. 5 0.770 as a fraction is 770 0.770 = 1000 77 = 100 A. 107 B. 77 100 100 C.  77 70 D. 1000 1000
  • 60. ANSWER 1 2 3 4 5 6 7 8
  • 61. 17 6 Express 9 1000 as a decimals ξ A. 9.17 B. 9.017 C. 9.071 D. 0.917 1 2 3 4 5 6 7 8
  • 62. 17 6 Express 9 1000 as a decimals ξ 17 17 9 =9+ 1000 1000 A. 9.17 = 9 + 0.017 B. 9.017 = 9.017 C. 9.071 D. 0.917
  • 64. ANSWER 1 2 3 4 5 6 7 8
  • 65. 7 1.987 can read as ξ A. One point ninety eight seven B. One point nine eighty seven C. One point nine eight seven D. One point eight seven nine 1 2 3 4 5 6 7 8
  • 66. 7 1.987 can read as A. One point ninety eight seven B. One point nine eighty seven C. One point nine eight seven D. One point eight seven nine
  • 68. ANSWER 1 2 3 4 5 6 7 8
  • 69. 8 Which of the following fraction is equivalent to 0.625? 5 A. 1 B. 8 4 ξ C.  5 1 D. 6 3 1 2 3 4 5 6 7 8
  • 70. 8 Which of the following fraction is equivalent to 0.625? 625 0.625 = 1000 5 5 = A. 1 B. 8 8 4 ξ C.  5 1 D. 6 3
  • 72. ANSWER 1 2 3 4 5 6 7 8
  • 74. DECIMALS A DECIMALS REPRESNTS A FRACTION WHOSE DENOMINATOR IS 10, 100, 1000 (multiple of 10) 3 = 3 ÷ 4 = 0.75 4 FRACTION DECIMALS 75 0.75 = 100 3 = 4
  • 75.
  • 76. BIODATA Nur Fatihah Bt Abdullah Practicum Teacher (09 – 00) Mathematic Education Universiti Pendidikan Sultan Idris
  • 77. Main Menu Developed by : Nur fatihah Abdullah Special For SMS Muzaffar Syah (MOZAC)
  • 78. ARE YOU SURE TO EXIT? YES NO