Properties of Multiplication

​Properties of Multiplication

Sir Roland b. Obeso

Lesson Objective

​Show different properties of multiplication

Words To Ponder

​1. Properties of Multiplication

2. Commutative Property

3. Associative Property

4. Identity Property

5. Zero Property​

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​Read the problem

Mr. Roland has 25 pupils. He required each pupil to read two books for home reading per month. How many books will the children read in all?

Subject | Subject

Some text here about the topic of discussion

​Questions

1. What do you think will be developed among the pupils of Mr. Roland?

2. What do you think shall we get from reading many books?

3. ​Aside from books, what other reading materials can we use to develop our love for reading?

​Presentation

​How many books will the children read every month?

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25 x 2 =

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​Presentation

​What are the factors? Do you think, that if we interchange the factors, the product will still be the same?

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25 x 2 = 50​

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FACTORS

PRODUCT​

​Presentation

​So, ​

25 x 2 = 2 x 25

= ​

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​

​Presentation

​So, ​

25 x 2 = 2 x 25

50 = 50

What have you noticed? ​

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​Presentation

​25 x 2 = 2 x 25

50 = 50​

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This is called Commutative Property of Multiplication. This means that changing the order of the factors does not change the product.

​Activity 1

Write the equation for each array when it is flipped 90 degrees. See the example below for guidance. Example: What equation does the array represent when it is rotated 90 degrees? 5 x 2 = 10,

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So, x =

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

​Presentation 2

Observe and compare the two equations.

​Presentation 2

​As we can see, the product in both the cases is the same.

​Presentation 2

This property, where the order in which the three numbers are multiplied does not affect the result, is called the Associative Property of Multiplication.​

Multiple Choice

Given that

( 10 × m ) × 2 = 10 × ( 5 × 2 )

what is the value of m to make the equation true?

• 10

• 5

• 2

Multiple Choice

If the following equation follows the associative property of multiplication,

find p and q

( 8 × p ) × 6 = 8 × ( 11 × q )

• p = 8

  q = 11

• p = 6

  q = 11

• p = 11

  q = 6

• p = 11

  q = 8

​Presentation 3

A

1 x 4 = 4

10 x 1 = 10

1 x 45 = 45

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What is the result if we multiply any number by 1?

What is the result if we multiply any number by 0?​

B

0 x 4 = 0

10 x 0 = 0

0 x 45 = 0

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​Presentation 3

A

1 x 4 = 4

10 x 1 = 10

1 x 45 = 45

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  Identity Property of Multiplication says that number does not change when that number is multiplied by 1.

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B

0 x 4 = 0

10 x 0 = 0

0 x 45 = 0

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    Zero Property of Multiplication is when we multiply any number by zero, the resulting product is always a zero.

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Multiple Choice

Which of the following equation expresses Identity Property of Multiplication?

• 2 x 10 = 20

• 4 x 0 = 0

• 8 x (2x2) = 32

• 145 x 1 = 145

Multiple Choice

Which of the following equation expresses Identity Property of Multiplication?

• 5 x 0 = 0

• 4 x 1 = 4

• (8 x 2) x 2 = 32

• 5 x 20 = 100

​Generalization

What are the properties of multiplication? Define each.​

​Remember

Commutative Property - Changing the order of the factors does not change the product

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Associative Property - changing the grouping of the factors does not change the product

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Identity Property - any number multiplied by 1 equals the number

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Zero Property - any number multiplied by zero equals zero​

​Evaluation

​What property of multiplication is indicated?

1. 6 x 4 = 4 x 6

2. (3 x 9) x 6 = 3 x (9 x 6)

3. 4 x 0

4. 11 x 1

5. 92 x 3 = 3 x 92​