Properties of Multiplication The properties for multiplying whole numbers are also true for multiplying fractions and whole numbers. (only 1 new property)

$Page 1: Properties of Multiplication The properties for multiplying whole numbers are also true for multiplying fractions and whole numbers. (only 1 new property)$
Properties of MultiplicationProperties of Multiplication

The properties for multiplying whole The properties for multiplying whole numbers are also true for multiplying numbers are also true for multiplying fractions and whole numbers. (only 1 fractions and whole numbers. (only 1 new property)new property)

What properties of multiplication do What properties of multiplication do you remember and what word do you you remember and what word do you associate with each property?associate with each property?

Commutative Property of Commutative Property of MultiplicationMultiplication

The order of the factors does not change the product.

8

1

2

1

2

1

8

1

Zero Property of Zero Property of MultiplicationMultiplication

The product of any factor and zero = 0.

0016

3

Associative Property of Associative Property of MultiplicationMultiplication

The way factors are grouped does not change the product.

5

2

3

2

4

1

5

2

3

2

4

1

Identity Property of Identity Property of MultiplicationMultiplication

The product of 1 and any factor equals the factor.

7

23

7

231

Distributive Property of Distributive Property of Multiplication over AdditionMultiplication over Addition

9

8

8

5

5

2

8

5

9

8

5

2

8

5

Distributive Property of Distributive Property of Multiplication over SubtractionMultiplication over Subtraction

9

5

3

2

4

1

3

2

9

5

4

1

3

2

Multiplicative Inverse Multiplicative Inverse PropertyProperty

Inverse = Flip = reciprocal

13

4

4

3

White BoardsWhite Boards

Identify the Property of Identify the Property of Multiplication & the word we Multiplication & the word we associate with the propertyassociate with the property

8

172

3

1

8

172

3

1


8

5

2

1

3

2

2

1

8

5

3

2

2

1


010

3240


36

5

6

53


111

15

15

11


7

137

4

17

7

13

4

17


8

73

16

512

8

7312

16

5


12

741

12

74


12

5

5

2

Complete & Identify the Complete & Identify the PropertyProperty

4

1

8

7

4

1


10

1

8

5

4

3

8

5

10

1

8

5


20

7

20

7

Solve. Watch the signs!!Solve. Watch the signs!!

3

1

3

2

4

3


15

9

9

5


4

3

7

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Properties of Multiplication The properties for multiplying whole numbers are also true for multiplying fractions and whole numbers. (only 1 new property)