Introduction to Associative Property Calculator
Associative property calculator is an online tool that helps you to find the multiplication and addition of different numbers in a couple of seconds.
Our associative property of multiplication calculator determines the product and sum of three or more numbers on both sides of the equation despite these numbers being grouped in different ways.
What is Associative Property for Addition or Multiplication?
Associative property or associative law is used for addition or multiplication when three or more than three numbers are multiplied or additive on both sides but in different groups of order and provide the same solution.
For example, 2+(3+4)=(2+3)+4, 9=9 both sides have the same solution. These numbers are separated with a parathesis bracket.
Formula for the Associative Property
The formula for addition and multiplication both consist of three or more numbers where it arrangement does not matter, it always gives the same solution. The formula used by the associative property calculator is given,
For Addition
Let a, b, and c be three numbers that are arranged as per associate property for addition.
$$ A+(B+C) \;=\; (A+B)+C $$
For Multiplication
Let a, b, and c are three numbers structure with the multiplication of associative property.
$$ A \times (B \times C) \;=\; (A \times B) \times C $$
And for the additive associative property:
$$ A+(B+C) \;=\; (A+B)+C $$
Calculation Process in Associative Property of Addition Calculator
The associative property calculator uses associative law for doing the sum and product of different numbers because it has an advanced feature that enables you to get a solution for more than three numbers irrespective of their order.
When you add the input number in the associative property of multiplication calculator it will identify the a,b, and c values. Then it will arrange the a,b, and c values as per the associative law formula for addition or multiplication.
For Addition:
For addition, suppose you add the number 5,4,7 in the additive associative property. It applies a formula in which (5+4)+7=5+(4+7). After taking the sum it will provides you with solution 16=16.
For Multiplication:
For multiplication, suppose you are taking the product of these numbers 5,4,7 in the associative property of multiplication. Then It applies the formula in which (5*4)*7=5*(4*7). After taking the product it will provide you with solution 140=140.
In this way, you can find the product and additive problems of the associative law of numbers. Let's take an example of both methods to get the solution from the associative property of addition calculator to understand its working method.
Solved Example of Associative Property Problem
An example of algebraic values along with its solution is given to understand the manual calculations. As our associative property calculator can solve such problems easily but its important to know manual way as well.
Example:
Use the associative property to determine (15 * 30) * 20, if
$$ (30 \times 20) \times 15 \;=\; 9000 $$
Solution:
According to the associative rule of multiplication:
$$ (30 \times 20) \times 15 \;=\; (15 \times 30) \times 20 $$
Given that:
$$ (30 \times 20) \times 15 \;=\; 9000 $$
$$ (15 \times 30) \times 20 \;=\; 9000 $$
Example 2:
Check the implication of associative property in the following equations,
$$ 20 + (60 + 5) \;=\; (20 + 60) + 5 $$
$$ 30 + (40 + 20) \;=\; (30 + 10) + 50 $$
Solution:
LHS: 20 + (60 + 5)
$$ 20 + (65) $$
$$ 85 $$
RHS:
$$ (20 + 60) + 5 $$
$$ (80) + 5 $$
$$ 85 $$
Thus, the associative property of addition is present in the equation.
Let’s check the other equation:
$$ 30 + (40 + 20) \;=\; (30 + 10) + 50 $$
LHS:
$$ 30 + (40 + 20) $$
$$ 30 + (60) $$
$$ 90 $$
RHS:
$$ (30 + 10) + 50 $$
$$ (40) + 50 $$
$$ 90 $$
How Do You Use the Associative Property Calculator?
The associative property of multiplication calculator provides you with the easiest method to solve associative properties for both addition and multiplication problems.
Follow some of our guidelines so that you know how to use it correctly for the evaluation. These steps are:
- Choose the associate property(addition, multiplication) from the given option
- Enter the value of a in the input box
- Enter the value of b in the second input box
- Enter the value of c in the third input box
- Click on the “Calculate” button to get the solution of the sum and product problem of the associative property
- The Recalculate button will bring you back to the home page where you can evaluate more examples of associative property problem
- If you want to check the accuracy of our associative property of addition calculator then you use load example solution so that you get an idea about its precise solution
Outcome of Associative Property (+,*) Problem
The associative property calculator gives a solution of algebraic expression for addition and subtraction immediately when you click on the calculate button. It may include as:
Result section
When you click on the result button it provides you with solutions to addition and multiplication problems in the associative property
Possible Steps section
It provides you with solutions to associate property problems for addition and multiplication in step by step process.
Benefits of Associative Property of Multiplication Calculator
The associative property of addition calculator provides you with multiple benefits whenever you use it to calculate addition and multiplication problems and gives a solution. These benefits are:
- It is a free tool so you can use it to find the associative property in addition, and multiplication problems in real-time.
- It is a versatile tool that allows you to get the solution of various types addition and multiplication value problems
- You can check out our calculator to practice more examples so that you get a strong hold on the associative property for addition and multiplication concept
- Our Associative property calculator saves you time and effort from doing inverse variation calculations.
- It is a trustworthy tool that provides you with accurate solutions every time whenever you use it to calculate the associative property examples.
- It provides the solution with a complete process in a step-by-step method so that you get a better understanding of the additive associative property and multiplication problems
