Learning Target: I can use properties of multiplication to rewrite multiplication sentences and complete equations.

 

Properties of Multiplication

 

  


The Multiplication Properties


 

 

 

 

 

 

 

 

 

 

  

Let's Practice Together

Name the property of multiplication that makes each sentence true.


1.  75 × 1 = 75


2.  8 × 6 = 6 × 8


3.  (4 × 2) × 5 = 4 × (2 × 5)


4.  13 × 0 = 0




Your Turn

Use the rules to solve.

5.

  (2 x _____) x 4 = 16

 

 

 

 

6.

  7 x (7 x 0) = _____

 

 

 

 

7.

  _____ x 1 = 25

 

 

 


8. 

  0 x 61 = _____

 

 

 


9.

   12 × 6 = _____ × 12




10. 

  (9 x 3) x 5 = (_____ x 3) x 9




Check for Understanding


1.  Can you multiply this expression:

(37 × 5) × 2

without having to multiply 37 by 5?


2.  Name the property that makes these two sentences equal:

3 + 3 + 3 + 3 + 3 = 15
5 + 5 + 5 = 15

 

 

 

 










Answers

1.  Property of One

2.  Commutative Property

3.  Associative Property

4.  Zero Property

5.  2

6.  0

7.  25

8.  0

9.  6

10.  5

Check for Understanding

1.  Use the Associative Property to put the parentheses around 5 x 2.  Now you have 37 x (5 x 2).  Because 5 x 2 = 10, the problem becomes 37 x 10, which is 370.

2.  The Commutative Property (3 x 5 = 5 x 3)