Properties of Multiplication

Commutative

100

When multiplying under the commutative property, the answer is always...

The same

200

Using the commutative property, 3*2 = what multiplication sentence?

5*3

300

Using the commutative property, b * a = what multiplication sentence?

a * b

400

Using the commutative property, 8*7*1 = what multiplication sentence?

1*7*8  or 8*1*7 or 1*8*7 or 7*1*8 or 7*8*1

500

Using the commutative property:

4 * 6=

6 * 4 =

24

Associative

100

When multiplying under the associative property the answer is always..

the same

200

Using the associative property, (3 * 1) *2 = what multiplication sentence?

(1 * 2) *3 or (2 * 3) * 1

300

Using the associative property, (a * b) *c  = what multiplication sentence?

(b*c) *a or ( a* c) *b

400

Using the associative property, (7* 4) *3 = what multiplication sentence?

(4* 3) *7 or (7* 3) *7

500

Using the associative property:

(4 * 2) * 9

or 

(2 * 9) *4

72

Identity/Zero

100

When multiplying under the zero property the answer is always..

Zero

200

4 * 0 = 

Zero

300

4 * 1 =

4

400

36*0

0

500

36 * 1 * 0

0

Distributive

100

When you multiply the number ______ a set of parentheses by everything inside the parentheses

Outside

200

2(x + 4)

2x + 8

300

3( x + 3 y)

3x + 9 y

400

-7( 3a + 6b)

-21a -42b

500

4(3x+ 2y - 2z)

12x + 8y -8z

Mixed Bag

100

When multiplying under the identity property the answer is always..

the number you multiplied by

200

13 * 2 = ___ * ___

2 * 13

300

( 3 * 2) * 7 = ( 7 *__ )* ___

(7 * 3) * 2 or (7 * 2) * 3

400

12x ( 3 + 2)

36x + 24x 

or 

60x

500

7 ( 4y - 8z)

32y - 56z