Question

Provide definition of Distributive property of multiplication over addition for real numbers.

Short answer

While multiplying a real number with sum of real numbers, the multiplication gets distributed over addition.

Step-by-step solution

Given information

Real numbers

Defining the property

When the sum of real numbers is multiplied with another real number, the multiplication gets distributed over addition.

Let $a,b,c$be three real numbers.

As per the distributive property of multiplication over addition:

$a*(b+c)=a*b+a*c$