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NUMBER PROPERTIES


 


Unit Overview
 In this unit, we will be working with properties of operations and how to apply those properties as strategies to multiply and divide.   


Properties of Multiplication


There are four properties involving multiplication that will help make problems easier to solve. They are the commutative, associative, zero, and distributive properties.

Click on the link to watch the video "Order doesn't matter when purely multiplying".


 

The commutative property is when two numbers are multiplied together and the product is the same regardless of the order of the multiplicands.

 

For example:    4 × 2 = 2 × 4

Click here to view more examples of the commutative property of multiplication.
   
Click here to practice the commutative property of multiplication.






The associative property is when three or more numbers are multiplied and the product is the same regardless of the grouping of the factors.

 

For example:    (2 × 3) × 4 = 2 × (3 × 4)


Click here to view more examples of the associative property of multiplication.
   
Click here to practice the associative property of multiplication.



The identity property is the product of any number and one is that number.

For example:    5 × 1 = 5

Click on the link to watch the video "Identity property of 1".


 

The distributive property is when the sum of two numbers times a third number is equal to the sum of each addend times the third number.

For example:    4 × (6 + 3) = 4 × 6 + 4 × 3

 

Click on the link to watch the video "Area of rectangles and the distributive property".


 

Click here to view more examples of the distributive property of multiplication.
   
Click here to practice the distributive property of multiplication.


Practice

 

Click here to play a basketball game focusing on practicing your multiplication properties.