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# Whole Numbers – Reading and Writing Up To Millions and Billion in Words and Figures Primary 6 (Basic 6) – Mathematics

### MATHEMATICS

FIRST TERM

WEEK 1

PRIMARY 6

THEME: WHOLE NUMBERS

PREVIOUS LESSON – Third Term Mathematics Plan Lesson Notes and Scheme of Work for Primary 6 (Basic 6)

### LEARNING AREA

1. Introductory Activities

2. Reading and Writing Whole Numbers Up to Millions in Words and Figures

3. Reading and Writing Whole Numbers Up to Billions in Words and Figures

4. Value and Place Value of any Digit given Whole Numbers

5. Quantitative Reasonings

6. 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. count in millions and billions.

2. write and read up to one million.

3. solve problems involving quantitative reasoning.

4. give the place value and the value of a digit in a given whole number.

5. identify numbers in place value.

### ENTRY BEHAVIOR

The pupils can read and write whole numbers up to 100 000.

### INSTRUCTIONAL MATERIALS

The teacher will teach the lesson with the aid of abacus and charts of whole numbers, etc.

### 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 – INTRODUCTORY ACTIVITIES

Counting numbers are also called whole numbers.

These are the set or pattern of numbers.

They are natural or positive numbers that we use to learn how to count. 1, 2, 3, 4, 5, and so on.

ACTIVITY 1

REVISION OF COUNTING UP TO ONE MILLIONS IN FIGURES

1. 100 101, 100 102, 100 103, – – – – – – – – – – – – – – – -, 100 110.

2. 111 100, 111 110, 111 120, – – – – – – – – – – – – – – – -, 111 110.

3. 201 111, 201 121, 201 131, – – – – – – – – – – – – – – – -, 201 191.

4. 600 215, 600 220, 600 225, – – – – – – – – – – – – – – – -, 600 260.

5. 999 991, 999 992, 999 993, – – – – – – – – – – – – – – – -, 1 000 000.

QUICK EVALUATION 1

Fill in the missing numbers correctly.

1. 362 503, 362 513 ______ ______ ______

2. 290 084, 260 184, ______ ______ ______

3. 999 996, 999 997, ______ ______ ______

ACTIVITY 2

REVISION OF READING AND WRITING UP TO ONE MILLIONS IN WORDS

Use the below format to guide pupils to read and write whole numbers:

MILLIONS          THOUSANDS           HUNDREDS

H    T    U                H    T    U                 H    T    U

1                 0    0    0                  0    0    0

WORKING EXAMPLES

Guide pupils to read and write the following correctly in words:

1. 794 962

MILLIONS          THOUSANDS           HUNDREDS

H    T    U                H    T    U                 H    T    U

0    0    0                 7    9    4                  9    6    2

Correct, Seven hundreds ninety-four thousands, nine hundreds sixty-two.

Incorrect, Seven hundreds and ninety-four thousands, nine hundreds and sixty-two.

2. 371 305

MILLIONS          THOUSANDS           HUNDREDS

H    T    U                H    T    U                 H    T    U

0    0    0                 3    7    1                  3    0    5

Correct, Three hundreds seventy-one thousands, three hundreds and two.

Incorrect, Three hundreds and seventy-one thousands, three hundreds and two.

QUICK EVALUATION 2

Write in words or figures:

1. 962 794

2. 325 371

3. Seven hundreds twenty-one thousands, three hundreds sixty-one.

4. Four hundreds and seventy-five thousands, nine hundreds and two.

SOLUTIONS

1. 962 794

Nine hundreds sixty-two thousands, seven hundreds ninety-four.

2. 325 071

Three hundreds twenty-five thousands, and seventy-one.

3. 721 361

Hint,

1  – one

60 + 1 – sixty-one

300 + 61 – three hundred sixty-one

1 000 + 361 – one thousand, three hundred sixty-one

20 000 + 1 361 – twenty-one thousand, three hundred sixty-one

700 000 + 21 361 – seven hundred twenty-one thousand, three hundred sixty-one

QUICKEST WAYS OF WRITING IN FIGURES

Instructions:

• Cancel the billion, thousands and hundreds
• Replace and with 1 zero, if the number is in ten or 2 zeros (or more) if it is in unit.
• For example, and 51 is 051 while and five is 005 or 21 million and 2 – 21 000 002
• Replace words with exact figures.
• Let the commas ( , ) remain.

Example – Seven hundred twenty-one thousand, three hundreds sixty-one.

7 hundreds 21 thousands, 3 hundreds 61.

721 261

4. 4 hundred 75 thousand, 9 hundred 0 2.

475 902

### LESSON 2 – READING AND WRITING IN MILLIONS

ACTIVITY 1

We read and write in millions when there are more than six (6) digits in a number.

When writing whole numbers in million, it is very important to group the digits from the rightmost in threes (3s) if it is not not or separated by comma ( , ).

Each group of three can be separated by comma or space. The grouping will help you to read and write.

For example, the first group in hundreds, follow by thousands and last is million.

That’s,

MILLIONS          THOUSANDS           HUNDREDS

H    T    U                H    T    U                 H    T    U

1     0     0                0    0    0                  0    0    0

ACTIVITY 2

READING AND WRITING WHOLE NUMBERS IN WORDS

Guide pupils to group in 3s, read and write:

1. 347840

2. 85048602

SOLUTIONS

1. 347840 – 347,840 or 347 840

MILLIONS    THOUSANDS    HUNDREDS

H   T   U           H   T   U             H   T   U

0   0   0            3    4   7              8   4   0

Guide:

• Three hundred forty-seven thousands,
• Eight hundred forty.

Read loud and clear Three hundred forty-seven thousand, eight hundred forty.

2. 85048602 – 85,048,602 or 85 045 602

MILLIONS    THOUSANDS    HUNDREDS

H   T   U           H   T   U             H   T   U

0    8   5            0    4   8             6    0   2

• Eighty-five millions
• And forty-eight thousands
• Six hundred and two

Read loud and clear – Eighty-five million, and forty eight thousand, six hundred and two.

ACTIVITY 3

READING AND WRITING WHOLE IN FIGURE

The minimum digits for million is seven (7) while maximum is nine (9). Million is in three (3) categories –

• The unit million has seven digit number.
• The ten million has 8 digit number.
• The hundred billions has 9 digit number.

Guide pupils to read and write:

Example 1.

Seventy five million, five hundred ten.

Seventy five million – 75 million (75 + 6 zero) = 75 000 000

Five hundred ten – (500 + 10) hundred = 510

75 000 000

500

+               10

_____________

75 000 510

2. Eight hundred twenty-two million, one hundred thirty-one thousand, five hundred and eight.

Eight hundred twenty-two million – (800 + 22) million = 822 + 6 zeros = 822 000 000

One hundred thirty-one thousand – (100 + 31) thousands  = 131 thousands – 131 000

Five hundred eight – (500 + 8) = 508

822 000 000

131 000

+              508

_____________

822 131 508

CLASS WORK

Write these in words and figures:

1. 444,444,444

2. 999,086

3. Two hundred and seventy-four million, nine hundred and three thousand, two hundred and eighty.

4. Three hundred and ten million, five hundred and seventy thousand, six hundred and ninety-one.

### LESSON 3 – READING AND WRITING IN BILLIONS

Billions are more than 9 digits in a number. Just like millions, billions are in this group –

BILLIONS           MILLIONS          THOUSANDS           HUNDREDS

H    T    U              H    T    U                H    T    U                 H    T    U

1     0     0              0    0    0                  0    0    0                 0    0    0

ACTIVITY 3

READING AND WRITING WHOLE NUMBERS IN WORDS

Guide pupils to group in 3s, read and write:

1. 1603578965

2. 8504860206

SOLUTIONS

1. 1 603 578 965

BILLIONS           MILLIONS          THOUSANDS           HUNDREDS

H    T    U              H    T    U                H    T    U                 H    T    U

0     0    1              6    0    3                  5    7    8                 9    6    5

• One billion
• Six hundred and three millions
• Five hundred seventy-eight thousands
• Nine hundred sixty-five

Read loud and clear One billion, six hundred and three million, five hundred seventy-eight thousand, nine hundred sixty-five

2. 8504860206

871 504 860 206

BILLIONS           MILLIONS          THOUSANDS           HUNDREDS

H    T    U              H    T    U                H    T    U                 H    T    U

8     7     1              5    0    4                 8    6    0                 2    0    6

• Eight hundred seventy-one billions
• Five hundred and four millions
• Eight hundred sixty thousands
• Two hundred and six

Read loud and clear, Eight hundred seventy-one billion, five hundred and four million, eight hundred sixty thousand, two hundred and six.

ACTIVITY 4

READING AND WRITING WHOLE IN FIGURE

The minimum digits for billions are 10 while maximum is 12.  That’s,

• The unit billions has 10 digit number.
• The ten billions has 11 digit number.
• The hundred billions has 12 digit number.

Guide pupils to group in read and write:

Example 1.

Five billion, two hundred twenty-four million, eight hundred and three thousand, one hundred thirty.

METHOD 1

Note, the number in words is in part and separated by comma ( , ). Guide the pupils to split and add.

1st split

Five billion – 5 billion (5 + 9 zeros)

That’s, 5 000 000 000

2nd split

Two hundred twenty-four million = (200 + 24) millions = 224 millions (224 + 6 zero)

That’s, 224 000 000

3rd split

Eight hundred and three thousands = (800 + 3) thousands = 803 millions (803 + 3 zero)

That’s, 803 000

Final split

One hundred thirty = (100 + 30) hundreds = 130

5 000 000 000

224 000 000

803 000

+               120

_________________

9 224 803 103

METHOD 2

That’s, Five billion, two hundred twenty-four million, eight hundred zero three thousand, one hundred thirty.

5 billion, 2 hundred 24 million, 8 hundred 0 3 thousand, 1 hundred 30 = 5, 224, 803, 130

Example 2

Twenty-one billion, five hundred million, and fourteen thousand, two hundred seventy-four.

METHOD 1

Split 1

Twenty-one billion

21 + 9 zeros

21 000 000 000

Split 2

Five hundred million

500 + 6 zeros

5 000 000

Split 3

Fourteen thousand

14 + 3 zeros

14 000

Split 4

Two hundred seventy-four

200 + 74

274

21 000 000 000

500 000 000

14 000

+              274

_____________

21 500 014 274

METHOD 2

Twenty-one billion, five hundred million, and fourteen thousand, two hundred seventy-four.

21 billion, 500 million, 0 14 thousand, 247.

21 500 014 247

Therefore,

Twenty-one billion, five hundred million, and fourteen thousand, two hundred seventy-four = 21, 500, 014, 274

CLASS WORK

Write these in words and figures:

1. 444, 444,444,444

2. 109 999 086 000

3. Thirty-seven billion, nine hundred and ten million, seventeen thousand, four hundred and twenty-five.

4. One hundred and ten billion, two hundred and thirty-five million, forty-three thousand, nine hundred and seventy-eight.

### LESSON 4 – VALUE AND PLACE VALUE OF WHOLE NUMBERS

ACTIVITY 1

A whole number is a number without a fraction or decimal.

Every digit in a number, for example, 7 123 840 has the value and place value of each digit as follows:

From the rightmost position,

0 – 0 unit

40 – 4 tens

800 – 8 hundreds

3 000 – 3 thousands

20 000 – 2 ten thousands

100 000 – 1 hundreds thousands

7 000 000 – 7 Millions

This can also be represent the place-value of the number as:

7 000 000 + 100 000 + 20 000 + 3 000 + 800 + 40 + 0

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

The place value of 4 is 4 tens, its value = 40

The place value of 8 is 8 hundreds, its value = 800

The place value of 3 is thousands, its value = 3 000

The place value of 2 is ten thousands, its value = 20 000

The place value of 1 is hundred thousands, its value = 100 000

The place value of 7 is millions, its value = 7 000 000

ACTIVITY 2

Guide the pupils find the value and place columns for 574 619 301 743.

VALUE               |             PLACE VALUE

5 = ____________________ | ____________________

7 = ____________________ | ____________________

4 = ____________________ | ____________________

6 = ____________________ | ____________________

1 = ____________________ | ____________________

9 = ____________________ | ____________________

3 = ____________________ | ____________________

0 = ____________________ | ____________________

1 = ____________________ | ____________________

7 = ____________________ | ____________________

4 = ____________________ | ____________________

3 = ____________________ | ____________________

CLASS WORK

Write down the place value and value of each of the circled digits in these numbers. Follow the examples above.

1. 7 250 638 510

2. 50 174 596 801

3. 41 400 305 986

4. 310 956 388 670

5. 190 718 102

6. 3 062 337 558

### 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 the pupils to revise the previous work in counting up to counting in millions.

2. Guides pupils to count in millions up to nine hundred millions.

3. Guides pupils to read up to billions.

Pupil’s Activities – Write numbers up to billions.

5. Devises other practices or methods to write and read up to one billion.

Pupil’s Activities – Devise other practices or methods to write and read up to one billion.

6. Guides pupils to solve problems in quantitative reasoning;

Pupil’s Activities – Solve problems in quantitative reasoning.

### CONCLUSION

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