1. Take out Math Notebook & pencil

Properties of Multiplication

But first, let’s review the

properties of Addition

(2 + 1) + 4 = 2 + (1 + 4)

Associative Property of Addition

3 + 7 = 7 + 3

Commutative Property of Addition

8 + 0 = 8

Identity Property of Addition

Identity Property of Multiplication

The product of any factor and 1 equals the factor.

23 X 1= 23

5.67 X 1= 5.67

Commutative Property of Multiplication

When multiplying, the order of the factors does not change the product.

5 X 15 = 15 X 5 = 75

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Zero Property of Multiplication

The product of any factor and 0 equals 0.

25 X 0= 0

5.12 X 0= 0

Associative Property of Multiplication

The way factors are grouped does not change

the product.

(7X4) X 25 = (4X25) X 7

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6 x 4 = 4 x 6

Commutative Property of Multiplication

6 x 0 = 0

Zero Property of Multiplication

(4 x 2) x 3 = 4 x (2 x 3)

Associative Property of Multiplication

24.1 x 1 = 24.1

Identity Property of Multiplication

2(5) = 5(2)

Commutative Property of Multiplication

Distributive Property of Multiplication

If you rewrite one factor as a sum or difference,

multiplying before adding or subtracting does not

change the product.

Copy this into

your notes!

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Distributive Property of Multiplication

If you rewrite one factor as a sum or difference,

multiplying before adding or subtracting does not

change the product.

Distributive property of multiplication

symbolically:

A × ( b + c ) = (a × b) + (a × c)

Distributive property of multiplication

symbolically:

4 × ( 7 + 3 ) = (4 × 7) + (4 × 3)

Distributive Property of Multiplication

If you rewrite one factor as a sum or difference, multiplying before adding or subtracting does not

change the product.

4 × ( 7 + 3 ) = (4 × 7) + (4 × 3)

Distributive property of multiplication

symbolically:

6 × ( 4 + 2 ) = (6 × 4) + (6 × 2)

PRACTICE the Distributive Property of Multiplication

Please take out a RED and a BLUE marker, pen or crayon.

PRACTICE the Distributive Property of Multiplication

20 × ( 5 + 8 ) = (20 × 5) + (20 × 8)

Evaluate - 260

PRACTICE the Distributive Property of Multiplication

9 × ( 90 - 10 ) = (9× 90) - (9 × 10)

Evaluate - 720

PRACTICE the Distributive Property of Multiplication

5 × ( 40 + 20 ) = (5× 40) + (5× 20)

Evaluate - 300

PRACTICE the Distributive Property of Multiplication

300 × ( 80 - 30 ) = (300 × 80) - (300 × 30)

Evaluate - 15,000

PRACTICE the Distributive Property of Multiplication

50(10-3) + 40(9-6) =

Evaluate - 470

Challenge

(500-150) + (360-240)350 + 120

Get a whiteboard

out for a little

practice

7(3) = 3(7)

Commutative Property of Multiplication

(5 + 4) x 9 = 45 + 36

Distributive Property

(C x D) x E = C x (D x E)

Associative Property of Multiplication

a(b) = b(a)

Commutative Property of Multiplication

a(b + c) = ab + ac

Distributive Property

5 . 7 = 7 . 5

Commutative Property of Multiplication

(2 x 1) x 4 = 2 x (1 x 4)

Associative Property of Multiplication

PRACTICE the Distributive Property of Multiplication

9 × ( 80 - 3 ) = (9 × 80) - (9 × 3)

Evaluate - 693

PRACTICE the Distributive Property of Multiplication

Reverse9 x 259 x (20 + 5 )(9 x 20) + (9 x 5)180 + 45

225

PRACTICE the Distributive Property of Multiplication

Reverse7 x 897 x (80 + 9 )

(7 x 80) + (7 x 9)560 + 63

623

PRACTICE the Distributive Property of Multiplication

Reverse6 x 786 x (70 + 8 )

(6 x 70) + (6 x 8)420 + 48

468

PRACTICE the Distributive Property of Multiplication

Reverse5 x 365 x (30 + 6 )

(5 x 30) + (5 x 6)150 + 30

180