Distributive property of multiplication over addition means “multiplication distributes over addition”. 5(2x + 3) = 5 * 2x + 5 * 3 = 10x + 15 is an example of distributive property. Many examples of distributive property are given in the resources of this page and use them to become expert in the subject.

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#### What is the distributive property of multiplication?

The Distributive Property of Multiplication is the property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. The Distributive Property says that if a, b, and c are real numbers, then: a x (b + c) = (a x b) + (a x c)

#### What does the word distributive property mean in math?

The Distributive Property is easy to remember, if you recall that “multiplication distributes over addition”. Formally, they write this property as “a(b + c) = ab + ac”. In numbers, this means, that 2(3 + 4) = 2×3 + 2×4.

#### What is the distributive property of addition and multiplication?

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. According to this property, you can add the numbers and then multiply by 3. 3(10 + 2) = 3(12) = 36.