# Distributive property

We will explain the distributive property with three good examples. Study these examples well.

Example #1:

Look at the following illustration. How would you get the area? Area = width × length

Since width = 6 and length = 4 + 10, area = 6 × (4 + 10)

You can do the math two ways

You can add 4 and 10 and multiply what you get by 6.

Otherwise, you can use the distributive property illustrated above by multiplying 6 by 4 and 6 by 10 and adding the results

Example #2:

You go to the supermarket. 1 bag of apples costs 4 dollars. 1 gallon of olive oil costs 10 dollars. You get 6 bags of apples and 6 gallons of olive oil.

How much money do you pay the cashier?

Total cost = # of items you get × (cost for apples + cost for olive oil)

Total cost = 6 × (4 + 10) = 6 × 4 + 6 × 10 = 24 + 60 = 84 dollars.

Same answer you would get for example #1!

Example #3:

Robert has 8 notebooks and his brother has 6. If we double both amount, how many do they now have altogether?

We get 2 × ( 8 + 6) = 2 × 8 + 2 × 6 = 16 + 12 = 28

Notice that we get the same answer if we add 8 and 6 and multiply the result by 2

## Recent Articles 1. ### Basic Math Review Game - Math adventure!

May 19, 19 09:20 AM

Basic math review game - The one and only math adventure game online. Embark on a quest to solve math problems!

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons. Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

## Recent Articles 1. ### Basic Math Review Game - Math adventure!

May 19, 19 09:20 AM

Basic math review game - The one and only math adventure game online. Embark on a quest to solve math problems! 