The document provides a tutorial on decimals, including how to represent fractions as decimals and vice versa, represent fractions with denominators of 10, 100, and 1000 as decimals, read and write decimals to thousandths, and change fractions to decimals and decimals to fractions. It includes examples and instructions for interactive tutorial questions to reinforce the concepts covered. The overall goal is to teach learners how to work with decimals in various contexts and representations.

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2. User’s manual :
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5. CHAPTER 4:
DECIMAL
FORM 1
ENTER

6. Main Menu
INTRODUCTION
CONTENT
TUTORIAL
summar
y
SUMMARY

7. introduction

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

12. REPRESENT FRACTION AS
DECIMALS AND VICE VERSA

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

27. CHANGING FRACTIONS TO
DECIMALS AND VISE VERSA

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

38. TUTORIAL

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

43. TRY AGAIN?

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

47. TRY AGAIN?

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

51. TRY AGAIN?

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

55. TRY AGAIN?

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

59. TRY AGAIN?

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

63. TRY AGAIN?

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

67. TRY AGAIN?

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

71. TRY AGAIN?

72. ANSWER
1 2 3 4 5 6 7 8

73. SUMMARY

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

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)

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