# Multiplication of Whole Numbers, Decimals and Fractions

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**FIRST TERM**

** WEEK**

**BASIC **

**THEME: NUMBERS AND NUMERATION – WHOLE NUMBERS AND FRACTIONS **

**TOPIC: **Multiplication of Whole Numbers, Decimals and Fractions

**PERFORMANCE OBJECTIVES**

- By the end of the lesson, the pupils should have attained the following objectives (cognitive, affective and psychomotor) and be able to:

Whole Numbers

- multiply 4- and 5-digit numbers by 1-digit number;
- multiply 4- and 5-digit numbers by 2-digit numbers;
- multiply 3-digit by 3-digit numbers;
- solve word problems on multiplication of whole numbers.

Decimal Fractions

- multiply mixed numbers;
- multiply decimals by 2-digit number;
- multiply decimals by decimals.

**ENTRY BEHAVIOR**

The pupils are required to already have learned to addition and substation.

**INSTRUCTIONAL MATERIALS**

The teacher will teach the lesson with the aid of:

- Board
- Chart showing quantitative aptitude problems on multiplication
- Orange ball
- Flip chart
- Multiplication charts

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**METHOD OF TEACHING**

- Explanation
- Exposition
- Discussion
- Demonstration
- Questions and answers

**REFERENCE MATERIALS**

- Scheme of Work
- 9 – Years Basic Education Curriculum
- New Method Mathematics Book 6
- All Relevant Material
- Online Information

**CONTENT OF THE LESSON**

**Click to Download… MATHEMATICS**

**WHOLE NUMBERS**

**LESSON ONE – M**

**ultiplying 4- and 5-digit numbers by 1-digit number***Example 1*

3 4 6 1 × 4 = 1 3 8 4

3 4 6 1

x 4

_________

1 3 8 4 4

**Example 2**

6 2 5 8 4 × 8 =

6 2 5 8 4

x 8

__________

4 5 0 0 6 7

**Exercises**

- 1 3 8 4 4 x 6 =
- 4 5 0 0 6 x 7 =

**LESSON TWO – Multiplying 4-digit numbers and 5-digit numbers by 2-digit numbers **

**Example 1**

2 4 8 9 × 1 2 = 2 9 8 6 82 4 8 9

x 1 2

__________

4 9 7 8

+ 2 4 8 9

__________

2 9 8 6 8

**Example 2 – multiply 3-digit by 3-digit numbers**

4 7 8 x 1 2 1 =

4 7 8

x 1 2 1

__________

4 7 8

9 5 6

+ 4 7 8

______________

5 7 8 3 8

**Exercises**

- 7 8 3 8 x 4 5 =
- 1 2 1 x 4 7 8 =

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**DECIMAL FRACTIONS **

**LESSON THREE –***Multiplication of Mixed Numbers*

Lead pupils to the following steps when multiplying mixed numbers:

*Change mixed number into improper fractions.**Cancel common factors and reduce your answers to lowest terms.**Write the answer as a mixed numbers.*

**Example 1- Mixed Fractions**

1 3/4 x 2 4/7 =

Change mixed number into improper fractions,

= 7/4 x 16/7

Cancel common factors and reduce your answers to lowest terms,

= 1/1 x 4/1

= 4.

**Example 2 – Fractions by Whole Numbers**

10 x 2 3/8 =

= 10 x 19/8

= 5 x 19/4

= 95/4

= 23 3/4

**Example 3**

7/3 x 5/14 =

= 1/3 x 5/7

= 5/21.

*Exercises*

- 2 3/12 x 8 =
- 5/7 x 14/15 =
- 4 3/4 x 1 2/5 =

**LESSON FOUR **

*Example 1 –**Multiplication of Decimals by 2-digit Numbers*

2 3 . 2 x 1 5 =

2 3 . 2 – – – – – – – – – – – 1 (number of digits after the decimal point)

x 1 5 – – – – – – – – – – – -0 (no decimal point)

__________ perform the basic multiplication and ignore decimal point

1 1 6 0

+ 2 3 2

__________

3 4 8 . 0 (1 + 0 = 1, total number after the decimal points then place after the count from the right hand side).

**Example 2 – decimals by decimals**

2 . 1 3 x 2 .1 2 =

2 . 1 3 – – – – – – – – 2

x 2 .1 2 – – – – – – – – 2

_________ ___

4 2 6 4

+ 2 1 3

+ 4 2 6

_______________

4 . 5 1 5 6 » decimal point after count of 4 digits from right hand side.

**Exercises**

- 8 9 . 2 3 x 12 =
- 1 . 0 4 x 1 1 . 2 =

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**Further exercises on multiplication of whole numbers, decimals and fractions as in recommended books.**

**PRESENTATION**

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

- To introduce the lesson, the teacher revises the previous lesson. Based on this, he/she asks the pupils some questions;
- Guides pupils to Multiply a 4/5 – digit whole numbers by 1/2 – digit whole numbers;
- Pupil’s Activities – Multiply a 4/5 – digit whole numbers by 1/2 – digit whole numbers.
- Guides pupils to multiply a 3 – digit whole numbers by 3 – digit whole numbers;
- Pupil’s Activities – Multiply a 3 – digit whole numbers by 3 – digit whole numbers.
- Guides pupils to multiply fractions by fractions and whole numbers;
- Pupil’s Activities – Multiply fractions by fractions and whole numbers.
- Guides pupils to multiply decimals by decimals and whole numbers;
- Pupil’s Activities – Multiply decimals by decimals and whole numbers.
- Work To Do.

**CONCLUSION**

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

**LESSON EVALUATION**

**Pupils to **as stated in the exercises.