A Preview of Properties

By: Ms. Oliva’s 8th grade

Math Members

Commutative Property of Addition

=

a+b = b+a 3+4 = 4+3

7 = 7

Commutative Property of Multiplication

=

Associative Property of Addition

=

(a + b) + c = a + (b + c)

(7 + 5) + 4 = 7 + (5 + 4)

12 + 4 = 7 + 9

16 = 16

ASSOCIATIVE PROPERTY OF MULTIPLICATION

(ab)c = a(bc)(4 x 7)2 = 4 (7 x 2)

28 x 2 = 4 x 1456 = 56

Distributive Property

a (b + c) = ab + ac

7 (5+2) = 7(5) + 7(2)

7 (7) = 35 + 14

49 = 49

=

Practice Quiz 1

Decide what property is shown. Click on your choice.

47 + (95 + 117) = (47 + 95) + 117

C. Distributive Property

B. Commutative Property

A. Associative Property

OOPS!!

Don’t Cry— Try Again

Awesome! It looks like you planted just the

right answer!

On to the next one

Practice Quiz 2

Decide what property is shown. Click on your choice.

(8 x 7)4 = 8(7 x 4)

C. Distributive Property

B. Commutative Property

A. Associative Property

Oh my gosh!! That’s not right!

Try Again

Terrific!! C’est Magnifique!

On to the next one

Practice Quiz 3

Decide what property is shown. Click on your choice.

8 (7 – 3) = (8 – 7) (8 – 3)

C. Distributive Property

B. Commutative Property

A. Associative Property

OOPS!! Hey! Don’t sweat it!

Try Again

Fantastic!! You’re on your

way!

On to the next one

Practice Quiz 4

Decide what property is shown. Click on your choice.

15 x 4 = 4 x 15

C. Distributive Property

B. Commutative Property

A. Associative Property

OOPS!! I think you zipped through that one too fast!

Try Again

Way to Go!!You’re just blooming!

On to the next one

Practice Quiz 5

Decide what property is shown. Click on your choice.

17(x + y) = 17x + 17y

C. Distributive Property

B. Commutative Property

A. Associative Property

ARGH!! Better luck next time, mate!

Try Again

Marvelous!!You really had your

eye on that one!

On to the next one

Practice Quiz 6

Decide what property is shown. Click on your choice.

(8x – 2) + 14 = 14 + (8x – 2)

C. Distributive Property

B. Commutative Property

A. Associative Property

OOPS!! That was a ghostly error!

Try Again

Excellent!!You must have

eaten your veggies!

On to your last slide!

You’re on Your Own*Number your paper from 1-8. Write assoc., comm., or dist., to

correctly label the property of each.

1) 14 (2 – 6) = (14 x 2) – (14 x 6)

2) 3x + 17 = 17 + 3x

3) 12(4 + 8) = (12 x 4) + (12 x 8)

4) (6 x 5) x 9 = 6 x (5 x 9)

5) 3 + (20 + 4) = (3 + 20) + 4

6) (11 – 4) + 12 = 12 + (11 – 4)

7) 10(22 + 12) = (10 x 22) + (10 x 12)

8) 2x + (3x + 3x) = (2x + 3x) + 3x

Answers

The Answers

1) dist. (Distributive Property)

2) comm. (Commutative Property)

3) dist. (Distributive Property)

4) assoc. (Associative Property)

5) assoc. (Associative Property)

6) comm. (Commutative Property)

7) dist. (Distributive Property)

8) assoc. (Associative Property)