In mathematics, the distributive property of binary operations is a generalization of the distributive law, which asserts that the equality is always true in elementary algebra.
The distributive property is a fundamental property that defines how multiplication operation is distributed over addition and subtraction. The distributive property is also called the distributive law of multiplication over addition and subtraction.
In this article, we will learn about the distributive property in detail along with its definition, formula, and distributive property of multiplication over addition and subtraction.
The distributive property is also known as the distributive law of multiplication over addition and subtraction. The name itself signifies that the operation includes dividing or distributing something.
Sometimes it is easier to add or multiply in a different order: What is 19 + 36 + 4? What is 2 × 16 × 5? The "Distributive Law" is the BEST one of all, but needs careful attention. This is what it lets us do: 3 lots of (2+4) is the same as 3 lots of 2 plus 3 lots of 4. So, the 3× can be "distributed" across the 2+4, into 3×2 and 3×4.
The distributive property states that multiplying a number by an addition problem is the same as multiplying the number by each addend in the addition problem and then adding the products. If instead the number is multiplied by a subtraction problem, it is the same as the difference of the products.
Distributive definition: serving to distribute, assign, allot, or divide; characterized by or pertaining to distribution.. See examples of DISTRIBUTIVE used in a sentence.
The distributive property tells us how to solve expressions in the form of a (b + c). The distributive property is sometimes called the distributive law of multiplication and division.