math (f1) decimal

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WELCOME AND THANK YOU FOR USING THIS MODUL.

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User’s Manual

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User’s manual :

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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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