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It’s time for math homework once again. You hate the situation, but you will have to sit down and get to work. Procrastination will not help you in any way. However, there are tools which are especially designed to make your life easier and to support your learning at the same time. You can readily use distributive property calculator online to simplify complex math problems and solve them accurately. Let’s take a closer
look at how it works and at how it will help you. The calculator is really simple to use even for the youngest students. It has two fields which you have to fill out. The expression which has to be distributed should be entered first. It can consist of multiple terms. In the second field, you have to enter the
expression, which the first one has to be distributed over. There is practically no room for confusion since the two will come in the same order and will typically be placed in brackets. It is important to check that you have entered all terms correctly even if they consist of just a simple number. Then you simply need to hit the submit button and the software will take care of the rest.The Distributive Property Explained
This property is extremely helpful for solving problems and especially equations and inequalities. It can be used for polynomials of any degree. The property is all about distributing one or multiple terms over others. Simply put, it is about opening
brackets and multiplying, adding, subtracting and dividing the terms of the expression.
This doesn’t seem very difficult, right? It’s not, but the risk of errors such as missing a term and placing a plus sign instead of a minus sign is considerable, especially when the expression is long. Things can get more complicated when there are variables of different degrees and/or fractions in the expression. There is no room for despair, however, because the distributive property solver is directly
available online and doesn’t cost anything to use. You can access it at any time via any connected device. There is no need to pay a fee or even to create a special account in order to use it. Help with Solving Problems
You will get the correct solution in seconds. Usually, it is easy to see where it comes from, but this
may not be the case with more complex polynomials. That is why it makes sense to use the distributive property calculator free as a support tool. It will help you to check if you have got the answer right in addition to saving you a great deal of time. With it, you can practice doing different types of problems at home to do ever better in math. It is great to be able to see the answer and know that you have got things right or that you have made an error and have to go back and fix it.
Make
full use of this and all other online calculators available to get the hang of solving math problems. They are not as hard as you might think.
Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
For example, express 36 + 8 as 4 (9 + 2).
Common Core: 6.NS.4
Suggested Learning Targets
- I can find the greatest common factor and least common multiple.
- I can use the distributive property for whole numbers with no common factor.
- I can apply the Distributive Property to rewrite addition problems by factoring out the Greatest Common Factor.
Component Skills from Previous Grades
3.OA.5 Apply properties of operations as strategies to multiply and divide. For example, write 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.) | GCF & LCM Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. |
The following diagram shows how to use the GCF and Distributive Property to find the sum of two numbers. Scroll down the page for more examples and solutions on GCF and distributive property.
Greatest Common Factor (GCF)
How to find GCF
GCF and Distributive Property
6NS4 - Distributive Property
Example:
3(2 + 6)
- Show Video Lesson
6NS4 - Multiple of a Sum
How to write a sum of two whole numbers as a multiple of a sum of two whole numbers?
- Show Video Lesson
GCF and Distributive Property
Example:
Use the GCF and the distributive property to express a sum as a product.
20 + 35
-
Show Video Lesson
Example:
Use the GCF and the Distributive Property to express the sum as a product
18 + 27
-
Show Video Lesson
GCF and the Distributive Property
Step 1: Find the GCF of the 2 numbers
Step 2: Re-write using the distributive property.
Example:
Use the GCF and the
Distributive Property to express the sum.
36 + 8
27 + 18
25 + 60
Example:
Apply the distributive property to the algebraic expression.
24x + 18y
10x + 15
16x + 32y
- Show Video Lesson
GCF And Distributive Property Word Problems
Learn how to use solve problems using the GCF and Distributive Property
Example:
Bryan is setting chairs for a graduation ceremony. He has 50 black chairs and 60 white chairs. Each row will have the same number of chairs and and each row will have the
same color chair.
What is the greatest number of chairs that he can fit in each row?
How many rows of each color chair will there be?
- Show Video Lesson
Use the GCF and Distributive Property to solve word problems
Example:
A store clerk is bagging spices. He has 18 teaspoons of cinnamon and 30 teaspoons of nutmeg. Each bag need to contain the same number of teaspoons and each bag can contain only one spice.
How many teaspoons of spice should the clerk put in each bag?
How many bags of each spice would there be?
- Show Video Lesson
GCF and Distributive Property Problem Solving
Learn how to use the GCF in problem solving. Distinguish how to use the distributive property in problem solving.
Example:
Madison has 56 roses and 42 daisies to use in floral centerpieces for a party. Each centerpiece will have the same number of flowers and will contain only roses or only daisies.
What is the greatest number of flowers that Madison can use in each centerpiece?
- Show Video Lesson
Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer
with the step-by-step explanations.
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