The distribution property of multiplication over addition applies when you multiply a value by a sum. For example, you want to multiply 5 by the sum of 10 + 3. Since we have similar terms, we usually add the numbers first and then multiply by 5. Depending on the property, you can also multiply each addition by 5.

## What is distributive multiplication over addition?

The distributive law states that multiplying a sum by a number gives the same result as multiplying each term by the number and then adding the products.

## Does multiplication distribute over addition?

In all algebras over a field, including octonions and other non-associative algebras, multiplication distributes over addition.

## What is the distribution law of addition?

The distributive law is a law of multiplication used for addition and subtraction. This property indicates that two or more terms in addition or subtraction with a number is equal to the addition or subtraction of the product of each of the terms with that number.

## What is the distributive property in mathematics?

The distributive property tells us how to solve expressions of the form a(b + c). The distribution law is sometimes called the distribution law of multiplication and division. … Next we have to remember to multiply first before adding!