# Distributive Property of Multiplication

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Examples, videos, worksheets, stories, and solutions to help Grade 6 students learn about the Distributive Property of Multiplication.

The following diagram shows the distributive property over addition. Scroll down the page for more examples of the distributive property.

The distributive property states that multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products.
3(1 + 4) = (3 × 1) + (3 × 4)

If we let a, b, and c be any whole numbers, then a(b + c) = ab + ac

Introduction to the Distributive Property
Examples:
2(5 + 3) =
2(x + 3) =
2(7 - 3) =
2(7 - 3 + 2) =
2(43)
6(143)

This lesson teaches the basics of the distributive property.
Examples:
5(7 + 8) =
6(2 + 4) =
7(40 - 2) =
4(x + 8) =
3(x - 7) =
-2(x + 4) =
4 (x + 2 + z) =
(x + 3) 4 =
3(2x - 4 + 3x) =

Learn the distributive property, which states that a(b + c) = ab + ac.
In other words, the number or variable that is outside the set of parentheses “distributes” through the parentheses, multiplying by each of the numbers inside.

Distributive property
Simplify the following expression two ways: One time by applying the distrbutive property and one time without applying it.
-12(8 - 4) =

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