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CHAPTER 4: DECIMAL
FORM 1
ENTER
INTRODUCTION
CONTENT
summary
TUTORIAL
SUMMARY
Main Menu
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;
• Represent fractions and 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.
10
1
100
1
REPRESENT FRACTIONS WITH
DENOMINATOR 10, 100, 1000 AS
DECIMALS
REPRESENT FRACTION AS
DECIMALS AND VICE VERSA
CHANGING FRACTIONS TO DECIMALS AND
VISE VERSA
CONTENTSRELATIONSHIP BETWEEN DECIMALS AND
FRACTIONS
REPRESENT FRACTION AS DECIMALS AND VICE
VERSA
DIAGRAM
THE SHADED PART IS ONE PART OUT OF TEN
PARTS
1.0
10110
1
DESCRIPTION
1.00.110
0 1 0 1 0 0
DIAGRAM
THE SHADED PART IS ONE PART OUT OF TEN
PARTS
1.0
10110
1
DESCRIPTION
1.00.110
0 1 0 1 0 0
THE SHADED PART IS 27 PART OUT OF 100 PARTS
27.0
10027100
27
DIAGRAM DESCRIPTION
02 7 02 0 0 7 0 0 7 0 0 0
27.000.27100
THE SHADED PART IS 27 PART OUT OF 100 PARTS
27.0
10027100
27
DIAGRAM DESCRIPTION
02 7 02 0 0 7 0 0 7 0 0 0
27.000.27100
HOW TO READ AND WRITE DECIMALS
Decimals Read and write as:
0.47
3.59
38.24
4.073
Zero point four seven
Three point five nine
Thirty-eight point two four
Four point zero seven three
HOW TO READ AND WRITE DECIMALS
Decimals Read and write as:
0.47
3.59
38.24
4.073
Zero point four seven
Three point five nine
Thirty-eight point two four
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 10
1
100
1
1000
1
Any fraction with denominator 10, 100 and 1 000 ca be expressed in decimals.
Decimals 0.1 0.01 0.001
Fractions 10
1
100
1
1000
1
1111 2222
Express the following in decimals forms.
10
7
1 zero in the denominator
1 digit to the right of the decimal
Example 1
Solution 7.0
10
7
Express the following in decimals forms.
10
7
1 zero in the denominator
1 digit to the right of the decimal
Example 1
Solution 7.0
10
7
100
34
2 digit to the right of the decimal
2 zero in the denominator
Express the following in decimals forms.
Example 2
Solution 34.0
100
34
100
34
2 digit to the right of the decimal
2 zero in the denominator
Express the following in decimals forms.
Example 2
Solution 34.0
100
34
CHANGING FRACTIONS TO DECIMALS AND VISE
VERSA
To change a fraction to a decimals
Rule : Divide the numerator by the denominator
Example 1 : Change the following fraction into decimals
4
3
Solution : 0 3 0 2 8
2 0 2 0 0
75.000.34
75.0
43 4
3
To change a fraction to a decimals
Rule : Divide the numerator by the denominator
Example 1 : Change the following fraction into decimals
4
3
Solution : 0 3 0 2 8
2 0 2 0 0
75.000.34
75.0
43 4
3
Example 2 : Change the following fraction into decimals
5
11
Solution :
5 1 0 1 0 0
2.10.655
6
2.156
5
11
Example 2 : Change the following fraction into decimals
5
11
Solution :
5 1 0 1 0 0
2.10.655
6
2.156
5
11
To change a decimals to a fraction
Rule : Express the decimals as a fraction by the denominator by using 10, 100 and 1000.
Solution :
Example 1 : Change the following decimals into fraction
04.0
2 zero
2 digit
100
4
25
1
04.0
To change a decimals to a fraction
Rule : Express the decimals as a fraction by the denominator by using 10, 100 and 1000.
Solution :
Example 1 : Change the following decimals into fraction
04.0
2 zero
2 digit
100
4
25
1
04.0
Solution :
Example 2 : Change the following decimals into fraction
25.2
2 zero2 digit
4
12
100
252
25.0225.2
Solution :
Example 2 : Change the following decimals into fraction
25.2
2 zero2 digit
4
12
100
252
25.0225.2
Solution :
Example 3 : Change the following decimals into fraction
075.0
3 zero
3 digit
1000
75
40
3
075.0
Solution :
Example 3 : Change the following decimals into fraction
075.0
3 zero
3 digit
1000
75
40
3
075.0
TUTORIAL
• 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.
Instruction
1 2
3
4
5678
1 Write the following decimals in words
A. Nine point nine nine nineB. Nine point nine nineC. Nine point ninety nineD. Nine point nine
9. 99
1 2 3 4 5 6 7 8
1
A. Nine point nine nine nineB. Nine point nine nineC. Nine point ninety nineD. Nine point nine
Write the following decimals in words
9. 99
TRY AGAIN?
ANSWER
1 2 3 4 5 6 7 8
Express the following decimals as numerals
2
A. 0.068
B. 0.638
C. 0.863
D. 0.368
Zero point three six eight
1 2 3 4 5 6 7 8
2
A. 0.068
B. 0.638
C. 0.863
D. 0.368
Express the following decimals as numerals
Zero point three six eight
TRY AGAIN?
ANSWER
1 2 3 4 5 6 7 8
3
Write the following fraction as a decimals
A. 3.53
B. 3.75
C. 3.25
D. 3.34
4
33
1 2 3 4 5 6 7 8
3Write the following fraction as a decimals
A. 3.53
B. 3.75
C. 3.25
D. 3.34
4
33
1 2 3 0 2 0 2 0 2 0 0
75.300.154
75.3
4154
15
4
33
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
A. B.
C. D.
2.85
20
172 8
52
20
72
100
852
1 2 3 4 5 6 7 8
4 Convert the following decimal into fraction or mixed number to its lowest terms
A. B.
C. D.
2.85
20
172
8
52
100
852
20
72
20
172
100
852
85.0285.2
TRY AGAIN?
ANSWER
1 2 3 4 5 6 7 8
0.770 as a fraction is
5
A. B.
C. D.
100
107100
77
1000
771000
70
1 2 3 4 5 6 7 8
5
0.770 as a fraction is
5
A. B.
C. D.
100
107100
77
1000
771000
70
100
771000
770770.0
TRY AGAIN?
ANSWER
1 2 3 4 5 6 7 8
6
Express as a decimals
A. 9.17
B. 9.017
C. 9.071
D. 0.917
1000
179
1 2 3 4 5 6 7 8
6
Express as a decimals
A. 9.17
B. 9.017
C. 9.071
D. 0.917
1000
179
017.9
017.091000
179
1000
179
TRY AGAIN?
ANSWER
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
1 2 3 4 5 6 7 8
C. One point nine eight seven
7 1.987 can read as
A. One point ninety eight seven
B. One point nine eighty 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?
A. B.
C. D.
4
18
5
3
16
5
1 2 3 4 5 6 7 8
8
Which of the following fraction is equivalent to 0.625?
A. B.
C. D.
4
18
5
3
16
5
8
51000
625625.0
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)
FRACTION DECIMALS
75.0434
3
4
3100
7575.0
Nur Fatihah Abdullah
BIODATA
Nur Fatihah Bt Abdullah
Practicum Teacher (09 – 00)
Mathematic Education
Universiti Pendidikan Sultan Idris
Developed by :Nur fatihah Abdullah
Special ForSMS Muzaffar Syah
(MOZAC)
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