Distributive property
The distributive property can be expressed as:
a × (b + c) = (a × b) + (a × c) 
Examples 
a × (b + c) = (a × b) + (a × c) 
3 × (4 + 2) = (3 × 4) + (3 × 2) 

In some cases, the distributive property can be used to simplify multiplication facts: 
Ex 1 
3 × 8 
= 
3 × (4 + 4) 
= 
(3 × 4) + (3 × 4) 
= 
12 + 12 
= 

= 
24 


Ex 2 
4 × 9 
= 
4 × (5 + 4) 
= 
(4 × 5) + (4 × 4) 
= 
20 + 16 
= 

= 
36 


The distributive property can also be used to help simplify the multiplication of numbers with more than one digit:
Example
It can also be used to help with dividing numbers: