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: