Copyright

What is distributive property for 4th grade?

Question:

What is distributive property for 4th grade?

Properties of Equality in Mathematics:

In mathematics, there are many properties of equality. These types of properties give equations stating that a specific mathematical expression is always equal to another mathematical expression. One such property of equality is called the distributive property.

Answer and Explanation:

The distributive property is a property of equality in mathematics that states that if A, B, and C are mathematical expressions, then the following must be true:

  • A(B + C) = AB + AC

In words, we have that if A, B, and C are mathematical expressions, then the distributive property states that we can multiply A by the sum of B and C by multiplying A by each of B and C, and then adding up the products.

For example, suppose we wanted to multiply 2 times the sum x + 5. In other words, we want to find 2(x + 5). We can use our distributive property to do this. We multiply 2 by x to get 2x, we multiply 2 by 5 to get 10, and lastly, we add up these products to get 2x + 10. In symbols, we have the following:

  • 2(x + 5) = 2x + 2 ⋅ 5 = 2x + 10

We see that the distributive property gives that 2(x + 5) is 2x + 10.


Learn more about this topic:

Loading...
Distributive Property: Definition, Use & Examples

from High School Algebra II: Help and Review

Chapter 2 / Lesson 20
124K

Related to this Question

Explore our homework questions and answers library