As we know that there are three basic properties in a basic mathematical number, associative, commutative and distributive property. We are here to discuss how to do distributive property of a number. These properties are used in various sections of mathematics as in matrix Algebra, calculus mathematics etc.
Distributive property is a very easy property and it is very easy to remember also. We describe it as distribution of multiplication over the addition. Basically we write this property as a (b + c) = ab + ac. Let us take an example in Numbers also. We have 3(4 + 5) then by the property of distribution we get 3*4 + 3*5 = 12 + 15 =27. When we use the distributive property the problem we are given is in the parentheses. It all depends on the multiplication.
There are some rules of distributive property we will discuss them with examples.
A number is given as 3(a + b) then this number is following the distributive property because it is in the parentheses, so this will follow the distributive property. We can use this property to rearrange the equation. We find the common factors from all the elements which are present in the equation.
Let us take an example to understand it better, 6x – 12 is the equation. So now we will use the distributive property, here we need to take a common value and the rest will be put in the parentheses. Then our answer will be by the distributive property as 6x – 12 = 6(x - 2).
In above example we saw that we call the distributive property as the distribution of multiplication over the addition. But this will work same for negative numbers also. This property is very flexible. For negative numbers we will add the negative numbers. Let us see an example. We can write (x - 4) as (x + (-4)). This is how we add the negative numbers.