Distributive Property Calculator

If you want to calculate the expressions of multiplication and addition or subtraction then use our distributive property calculator with steps.

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Table of Contents:

Introduction to Distributive Property Calculator

Distributive property calculator is a free tool for calculating the mathematical expressions of multiplication and addition or subtraction by applying the distributive property.

Distributive Property Calculator with Steps

Our tool determines the larger number into smaller numbers to simplify the given distributive property problems. You can easily use a distributive calculator to increase your knowledge about algebraic equations using the distributive property without difficulty in a fraction of a second.

What is Distributive Property

Distributive property is a fundamental concept in mathematical algebra. It describes how to calculate the multiplication addition or subtraction questions. When you multiply a number by the sum or difference of two numbers, then write these numbers inside the parentheses ().

Distributive property is written in mathematical expression for three numbers: a,b, and c.

$$ a \times (b+c) \;=\; a \times b+a \times c $$

$$ a \times (b−c) \;=\; a \times b−a \times c $$

The distributive property is crucial in algebra for simplifying expressions and solving equations with distributive property.

How to Use Distributive Property

The Distributive property is used to calculate algebraic expressions in the simplest manner. Let us understand how to solve basic arithmetic operations using the distributive property in simple steps.

Step 1:

First, identify your expression, whether it is in multiplication and addition or subtraction.

Step 2:

Apply the Distributive Property of multiplication and write each term inside the parentheses.

Step 3:

After distributing the multiplication, addition, subtraction, and solving the number inside the parentheses, for simplification of the number.

Step 4:

Solve the term outside the () after simplifying the parathesis number and form a result for all arithmetic operations.

Step 5:

You can recheck your equation solution by putting numbers in both equations. If it satisfies both the equations, then your answer is correct.

If you need quick answers without manual calculations, our Distributive Property Calculator is perfect for you. It's super easy to use; just input your numbers, and it will give you the answer in seconds without any mistakes.

What is the Distributive Property of Multiplication

The Distributive property of multiplication is a commonly used property in mathematics that describes how multiplication equations can be solved.

It is defined as distributive numbers solved using arithmetic operations.

For any three numbers a,b, and c, the distributive property

$$ a \times (b−c) \;=\; a \times b−a \times c $$

What is Distributive Property in Addition and Subtraction

Distributive property is used for multiplication, not for addition or subtraction. However, It can build a relationship of multiplication in addition with subtraction.

Moreover, the Distributive property of addition over subtraction is defined as when you get an algebraic expression of a sum or difference inside parentheses; you can distribute addition or subtraction on each term within the parentheses, as shown

$$ a + (b−c) \;=\; (a+b) − (a+c) $$

It shows that you can distribute the addition inside the parentheses b−c by adding a to each number separately. Similarly, you can distribute equations for subtraction.

How to Use the Distributive Property Calculator with Steps

This distributive property solver has a user-friendly layout that allows you to solve various types of number equations. It's a versatile calculator for distributive property that streamlines the process of solving number equations effortlessly.

You need to put your number problem in this calculator and follow our guidelines to get results quickly. These guidelines are:

  • Enter your number in the input field for the distributive property problem solution.
  • Review your given input number for the distributive property before clicking the calculate button to get the exact solution.
  • Click the “Calculate” button to solve your number of problems.
  • If you want to check the working process behind our distributive calculator, use the load example to calculate distributive property questions and get an idea about its accuracy in the solution.
  • Click the “Recalculate” button to evaluate more examples of the distributive property solution.

Output of Using Distributive Property Simplify Calculator

Distribute calculator provides you with a solution (for multiplication, addition, or subtraction) as per your input number problem when you click on the calculate button. It may include the following:

In the Result Box,

When you click on the result button, you get the solution of the distributive property.

Steps Box

Click on the steps option to get the solution to algebraic expression questions using a step-by-step method.

Benefits of Using Distributive Property Solver

Distributive property Calculator has different advantages. Whenever you use it to solve number problems, distribute equations, and give the solution.

Our tool takes the input value and gives a solution without imposing a condition for a solution.

  • It is a trustworthy tool as it always provides you with accurate solutions of arithmetic operations for mathematical equations.
  • It is a fast tool that evaluates distributive problems with solutions in seconds.
  • It is a learning tool that helps your children understand the concept of distributive property in algebra easily at online platforms without paying a fee to any tutor. Our calculator distributive property simplifies the learning process, making algebra more accessible and engaging for students.
  • It is a handy tool for solving algebraic expressions quickly. You do not need to exert any external effort.
  • A distributive property with variables calculator is a free tool that allows you to calculate distributed numbers in arithmetic operations without incurring any charges.
  • It is an easy-to-use tool; anyone, even a beginner, can easily use it to solve algebraic problems.
  • Our distributive property simplify calculator can operate through a desktop, mobile, or laptop through the internet to solve distributive property problems.
Related References
Frequently Ask Questions

What is a Distributive Property in Algebra?

Distributive property is a fundamental concept in algebra used to solve the multiplication equation when distributed over addition or subtraction. It also simplifies numbers by breaking them down into smaller parts. For any three numbers a,b, and c, distributive relationship holds:

$$ a \times (b − c) \;=\; a \times b - a \times 𝑐 $$

In the above expression numbers a and b by the sum or difference with the other two numbers a and c, it distributes the multiplication to each term inside the parentheses.

For example:

$$ 5 \times (7−2) \;=\; 5 \times 7−5 \times 2 $$

$$ 35−10 \;=\; 25 $$

What is the Distributive Property in Math?

In mathematics, the distributive property is how basic arithmetic operations combine, specifically multiplication and addition or subtraction. It helps to simplify the mathematical expressions by distributing the multiplication inside parentheses and outside the parenthesis. It shows as follows:

$$ a \times (b − c) \;=\; a \times b − a \times c $$

Let's understand its method with an example and its solution. For example,

$$ 3 \times (2 + 4) \;=\; 3 \times 2 + 3 \times 4 $$

$$ 6 + 12 $$

$$ 18 $$

What is the Distributive Property of Subtraction?

The distributive property is defined as the multiplication distributed over addition and subtraction. It multiplies the number with the sum or difference, then distributes the multiplication at each term inside the parentheses. It applies to both addition and subtraction but for rare equation solutions.

$$ a \times (b − c) \;=\; a \times b − a \times c $$

For example: Find the distributive property for subtraction 2 × (7 − 3).

$$ 2 \times (7 − 3) \;=\; 2 \times 7 − 2 \times 3 $$

$$ 14 − 6 \;=\; 8 $$

So, the distributive property of subtraction allows calculating the multiplication over subtraction as it can also solve the addition.

How to Solve Distributive Property Equations with Calculator?

Using a calculator, you can solve algebraic equations for distributive property. You can follow these steps while calculating distributive property with a calculator. These steps are:

  1. Enter the algebraic equation in the calculator input box. You use parentheses to show terms that are multiplied clearly.
  2. Our calculator starts calculating the algebraic equation and distributing a number with the help of parentheses.
  3. Then, it applies the distributive property, which multiplies the number inside the parentheses.
  4. After distributing each term, perform arithmetic operations, such as addition, subtraction, multiplication, and division, to get a solution.
  5. You can check the solution when you substitute the given number in the original equation. If it satisfies the equation, then your answer is correct; otherwise, again, substitute the given expression.

While our calculator performs arithmetic calculations in distributive property and simplifies expressions, you can understand the mathematical concept behind it, which is crucial for solving equations effectively.

Does Distributive Property Come Before Pemdas?

Yes, the distributive property comes before PEMDAS in mathematical operations because the order of operations is defined by PEMDAS(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction).

The distributive property is a specific property that falls in PEMDAS. It states that multiplication distributes over addition and subtraction and simplifies expressions by distributing the multiplication inside parentheses.

Therefore, PEMDAS is a broader set of rules that include the distributive property as part of the multiplication step and build relations with basic mathematical operations.

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