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Distributive Property Calculator

Write down the arithmetic equation in the designated box and the tool will simplify it by applying the distribution law, with the steps shown.

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Note: Please use * for multiplication and / for division.
Input:

Examples:

  • (2-13+4)/(9)
  • 3*(13-7)
  • (13-3-2)*(12-5)
  • (5*(7-3))*(16*(13-3)+5)
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A distributive property calculator is designed to solve any simple mathematical equation by the basic distribution property.

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 each and every ordinary mathematical equation. 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?

We can use distributive property to simplify the expression. Let us have a look of some examples to have a hands on grip on how to use the distributive property.

Example # 01:

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

You can authenticate your answer with the help of distribute calculator for double check.

Example # 02:

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

Using distributive calculator, you can get detailed implementation of proper use of distributive property to generate the desired results.

Example # 03:

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

=0

How Distributive Property Calculator Works?

Absolute results can easily be obtained along with detailed arithmetic operations performed by using distributive property with variables calculator.

Input:

  • Write your expression in the given box.
  • Click on ‘calculate’.

Output:

The calculator gives:

  • Exact answer along with each step explained corresponding to the distributive law.

References:

From the source of wikipedia: Distributivity and rounding, Distributive Property

From the source of lumen: The Distributive Property, The distributive property of multiplication, Use the Distributive Property to Simplify, Combo Meal Distributive Property, Absolute Value

From the source of splashlearn: Distributive Property Definition, Distributive Property with Variables, Distributive Property of Multiplication Over Addition, Distributive Property of Division.