# Place Value of Whole Numbers and Decimals Primary 5 and Primary 6 – Mathematics

### MATHEMATICS

FIRST TERM

WEEK 2/PRIMARY 5

WEEK 3/PRIMARY 6

THEME: WHOLE NUMBERS

PREVIOUS LESSON – Binary Numbers Primary 6 (Basic 6) – Mathematics

### LEARNING AREA

1. Introductory Activities

2. Values and Place Values of Whole Numbers

3. Values and Place Values of Decimal Numbers

4. Lesson Evaluation and Weekly Assessment (Test)

### PERFORMANCE OBJECTIVES

By the end of the lesson, most of the pupils should have attained the following objectives –

1. give the value and place value for a digit in a whole numbers.

2. give the value and place value for a digit in a decimal fraction.

3. solve problems on quantitative reasoning with value and place value.

### ENTRY BEHAVIOR

The pupils can find the value and place value for a digit in a whole number and decimal fraction.

### INSTRUCTIONAL MATERIALS

The teacher will teach the lesson with the aid of chart showing values of whole numbers.

### METHOD OF TEACHING

Choose a suitable and appropriate methods for the lessons.

Note – Irrespective of choosing methods of teaching, always introduce an activities that will arouse pupil’s interest or lead them to the lessons.

### REFERENCE MATERIALS

Scheme of Work

9 – Years Basic Education Curriculum

Course Book – New Method Mathematics, Prime Mathematics, Primary Mathematics and MacMillan New Primary Mathematics

All Relevant Material

Online Information

### LESSON 1 – INTRODUCTION

ACTIVITY 1

In math, every digit in a number has a value and place value.

Place value is the place of a digit in a number on the basis of its position in the number.

For example,

The value and place value each of digit in 8 697 243 is expressed as –

From the rightmost position,

3 – 3 Unit s

40 – 4 Tens

200 – 2 Hundreds

7 000 – 7 Thousands

90 000 – 9 Ten thousands

600 000 – 6 Hundred thousands

8 000 000 – 8 Millions

_____________

8 697 243 – 8 millions 6 hundred thousands 9 Ten thousands 7 thousands 2 hundreds 3 units

• The place value of 8 is millions, value = 8 000 000
• The place value of 6 is millions, value =    600 000
• The place value of 9 is millions, value =      90 000
• The place value of 7 is millions, value =        7 000
• The place value of 7 is millions, value =           200
• The place value of 4 is millions, value =             40
• The place value of 3 is millions, value =               3

_____________

8 697 243

Note – The position of each digit determine their value and place value.

For example,

From the rightmost position,

1st position – Unit

2nd position – Ten

3rd position – Hundred

4th position – Thousand

5th position – Ten thousand

6th position – Hundred thousand

7th position – Million

8th position – Ten million

9th position – Hundred million

10th position – Trillion

ACTIVITY 2 – FURTHER EXAMPLES

Find the value and place 5 in the following –

1.  6 117 582

The position of 5 in 6 117 582 is 3rd position.

The value is 300 and place value is hundred.

2. 7 951 117

The position of 5 in 7 951 117 5th position.

The value is 50 000 and place value is Ten thousand.

WORKING EXERCISE

Find the value and place value of

1. 7 in 6 117 582

2. 9 in 7 951 117

3. 1 in 7 951 017

### LESSON 2 – FURTHER ILLUSTRATIONS

FURTHER EXAMPLES

Copy and complete the value and place columns for 2 514 679 381.

1 = __________ and __________

8 = __________ and __________

3 = __________ and __________

9 = __________ and __________

7 = __________ and __________

6 = __________ and __________

4 = __________ and __________

1 = __________ and __________

5 = __________ and __________

2 = __________ and __________

SOLUTIONS

1 = 1 land unit

8 = 80 and Ten

3 = 300 and Hundred

9 = 9 000 and Thousand

7 = 70 000 and Ten thousand

6 = 600 000 and Hundred thousand

4 = 4 000 000 and Million

1 = 10 000 000 and Ten million

5 = 500 000 000  and Hundred million

2 = 2 000 000 000 and Trillion

ACTIVITY 2 – WORKING EXERCISE

Copy and complete the following –

1. 8 422 029 167

The place value of 0 is 0 ____, its value = ____

2. 3 998 631 156

The place value of 9 is 9 ____, its value = ___

3. 5 3902 712 048

The place value of 5 is 5 ____, its value = ____

### LESSON 3 – VALUE AND PLACE VALUE OF DECIMALS

ACTIVITY 1 – INTRODUCTION

If a number has a decimal point, the first digit to the right of the decimal point is tenths.

The next digit after the decimal represents the hundredths place.

The remaining digits continue to fill in the place values until there are no digits left.

For example,

6.11758 is expressed in expandable form as

6 + 1/10 + 1/100 + 7/1 000 + 5/10 000 + 8/100 000

That’s,

6 + 0.1 + 0.01 + 0.007 + 0.0005 + 0.00008

Therefore,

6 + 1 tenth + 1 hundredth + 7 thousandth + 5 ten thousandth + 8 hundred thousandth

ACTIVITY 2 – WORKING EXERCISES

Write these decimals in expanded form.

1. 4.651

2. 0.234

3. 2.134

### LESSON 4 – FURTHER ILLUSTRATIONS

ACTIVITY 1

Find the place value and value of

1. 4 in 5.234

5.234 = 5 + 2/10 + 3/100 + 4/1 000

Place of 4 is thousandth, its value is 0.004

2. 1 in 2.187

2 + 1/10 + 8/100 + 7/1 000

Place of 1 is tenth, its value is 0.10

3. 5 in 1.453

1 + 1/10 + 5/100 + 3/1 000

Place of 5 is hundredth, its value is 0.05

ACTIVITY 2

Find the place value and value of

1. 3 in 4.635

2. 9 in 0.938

3. 6 in 5.136

### PRESENTATION

To deliver the lesson, the teacher adopts the following steps:

1. To introduce the lesson, the teacher revises the previous lesson. Based on this, he/she asks the pupils some questions;

2. Guides pupils to find the value and place value of whole numbers.

Pupil’s Activities – Find the value and place value of whole numbers.

3. Guides pupils to find the value and place value of decimals.

Pupil’s Activities – Find the value and place value of decimals.

4. At the end of each lesson, give classwork or assignment.

Pupil’s Activities – Do your classwork or assignment.

### CONCLUSION

To conclude the lesson for the week, the teacher revises the entire lesson and links it to the following week’s lesson.

### LESSON EVALUATION

As stated in each lesson.