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Distributive Property Calculator

Enter the mathematical expression to simplify it by applying the distributive law, with step-by-step details.

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Distributive Property Calculator

This distributive property calculator simplifies given mathematical expressions by using the distribution property of multiplication over addition or subtraction.

What Is Distributive Property In Mathematics?

“By multiplying any number with parenthesis set, we will get the exact and same answer as we multiply that number with each value contained in the parenthesis individually and then adding them” A distributive property or simply distribution law is a key method to simplify every ordinary mathematical equation.

General Form:

The general expression for distribution property is as follows:

a * (b + c)

The above expression gives us the step-by-step detailed and exact answer in the form of: a*b +a*c

How To Use Distribution Property?

Let’s look at some examples to develop a hands-on understanding of how to use the distributive property.

Example 1:

Simplify the expression using distributive law: 19*(67 + 3)

Solution:

As we know that distribution property is given as: (a+b)*c = a*c + b*c

So, we have; 19*(67 + 3) =19*67 +19*3 =1273 + 57 = 1330

To verify the results of your manual calculations, use our distribute calculator and see a detailed implementation of the distributive property to generate the results.

Example 2:

Solve for distribution property: (7-5)*9

Solution:

As we know that distribution property is given as: (a+b)*c = a*c + b*c

It is clear that addition is similar to subtraction with opposite signs.

So, we have; (7-5)*9 =7*9 -5*9 =63 - 45 =18

Example 3:

Solve the following expression using distribution law:

(3+9-12)*(22-0.2+2)

Solution:

Following the basic rule of distributive property, we have;

(3+9-12)*(22-0.2+2)

=3*22 - 3*0.2 + 3*2 + 9*22 - 9*0.2 + 9*2 - 12*22 + 12*0.2 - 12*2

For instance 0.2 can also be written as 2/10. So, we have;

=3*22 - 3*2/10 + 3*2 + 9*22 - 9*2/10 + 9*2 - 12*22 + 12*2/10 - 12*2

=66 - 6/10 + 6 + 198 - 18/10 + 18 - 264 + 24/10 - 24

=66 + 6 + 198 + 18 - 264 - 24 - 6/10 - 18/10 + 24/10

=0 - 6/10 - 18/10 + 24/10

=-6-18+24/10

=0/10

How to Use the Distributive Property Calculator?

Follow these steps:

Step #1: Enter the mathematical expression of the form a (b+c) in the input field of the calculator
Step #2: Now simplify using distributive property calculator, just click on the “CALCULATE” button and get the simplified expression

References:

Wikipedia: Distributive Property
Lumen Learning: The Distributive Property
SplashLearn: Distributive Property of Multiplication Over Addition

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