Decimal F1

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WELCOME AND THANK YOU FOR USING THIS MODUL. PLEASE SELECT… User’s Manual The Module About Author

User’s manual :

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CHAPTER 4: DECIMAL FORM 1 ENTER

Main Menu

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

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