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CHAPTER 4: DECIMAL FORM 1 ENTER
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INTRODUCTION
CONTENT
TUTORIAL summary
SUMMARY
introduction
Pyramid of Egypt
The use of decimals in daily life
Pyramid of Egypt
By the end of this chapter, you will able to; • • • •
1 Represent fractions 10
1 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 viceversa.
CONTENTS RELATIONSHIP BETWEEN DECIMALS AND FRACTIONS
REPRESENT FRACTION AS DECIMALS AND VICE VERSA
CHANGING FRACTIONS TO DECIMALS AND 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
1 =1 ÷10 10 =0.1
0.1 10 1.0 0 1 0 1 0 0
0.27 100 27.00
DIAGRAM
DESCRIPTION THE SHADED PART IS 27 PART OUT OF 100 PARTS
27 = 27 ÷ 100 100 = 0. 27
0.27 100 27.00 0 270 200 700 700 0
REPRESENT FRACTIONS WITH DENOMINATOR 10, 100, 1000 AS DECIMALS
Any fraction with denominator 10, 100 and 1 000 ca be expressed in decimals. Decimals
0.1
0.01
0.001
Fractions
1 10
1 100
1 1000
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
1
2
Express the following in decimals forms. Example 1
7 10
Solution
7 =0.7 10 1 zero in the denominator
1 digit to the right of the decimal
Express the following in decimals forms. 34 Example 2 100 Solution
34 =0.34 100
2 zero in the denominator
2 digit to the right of the decimal
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 4 Solution :
3 =3 ÷4 4 =0. 75
0.75 4 3.00 0 3 0 2 8 20 20 0
Example 2 : Change the following fraction into decimals
1 1 5
Solution :
1 6 1 = 5 5 = 6 ÷5 = 1.2
1 .2 5 6 .0 5 1 0 1 0 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
4 Solution : 0.04 = 100 1 2 digit = 25
2 zero
Example 2 : Change the following decimals into fraction
2.25 Solution :
2.25 = 2 + 0.25 25 2 digit = 2 + 100 1 =2 4
2 zero
Example 2 : Change the following decimals into fraction
0.075 75 Solution : 0.075 = 1000 3 3 digit = 40
3 zero
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 B. Nine C. Nine D. Nine 1
2
3
point point point point 4
nine nine nine nine nine ninety nine nine 5
6
7
8
1
Write the following decimals in words
9. 99
A. Nine B. Nine C. Nine D. Nine
point point point point
nine nine nine nine nine ninety nine 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 ξ
3 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
A. 3.53 B. 3.75 C. 3.25 D. 3.34
3 15 3 = 4 4 = 15 ÷ 4 = 3.75
3.75 4 15.00 12
30 20 20 20 0
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. C.
1
5 2 8
17 2 20
B.
7 20
D.
2
5
6
2
2
3
4
85 100
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 + 100 17 =2 20
A. C.
17 2 20
B.
7 2 20
D.
5 2 8 2
85 100
TRY AGAIN?
ANSWER
1
2
3
4
5
6
7
8
∈
5 0.770 as a fraction is
1
A.
107 100
B.
77 100
C.
77 1000
D.
70 1000
2
3
4
5
6
7
8
5 0.770 as a fraction is
A.
107 100
B.
77 100
C.
77 1000
D.
70 1000
770 0.770 = 1000 77 = 100
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
A. 9.17 B. 9.017 C. 9.071 D. 0.917
17 17 9 =9+ 1000 1000 = 9 + 0.017 = 9.017
TRY AGAIN?
ANSWER
1
2
3
4
5
6
7
8
7 1.987 can read as ξ
A. One B. One C. One D. One
1
2
point point point point
3
4
ninety eight seven nine eighty seven nine eight seven eight seven nine
5
6
7
8
7 1.987 can read as
A. One B. One C. One D. One
point point point point
ninety eight seven nine eighty seven nine eight seven 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?
1 4
A. C.
1
B. ξ
1 3 2
5 8
3
4
D.
5
5 6
6
7
8
8 Which of the following fraction is equivalent to 0.625?
A. C.
1 4 1 3
B. ξ
D.
5 8 5 6
625 0.625 = 1000 5 = 8
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 DECIMALS
FRACTION
75 0.75 = 100 3 = 4
BIODATA
Nur Fatihah Bt Abdullah Practicum Teacher (09 – 00) Mathematic Education Universiti Pendidikan Sultan Idris
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