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
TOPIC – REVISION OF WHOLE NUMBERS
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
CONTENT OF THE LESSON
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
LESSON 5 – REVISION AND WEEKLY ASSESSMENT
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.
NEXT LESSON
LESSON EVALUATION
As stated in each lesson.