Come to Mathsite.org and read and learn about geometry, a polynomial and many additional algebra subject areas Right from distributive property online calculator to square roots, we have got all of it included. c=6 Free Algebraic Properties Calculator - Simplify radicals, exponents, logarithms, absolute values and complex numbers step-by-step This website uses cookies to ensure you get the best experience. The distributive property helps in making difficult problems simpler. Simplifying radical expressions calculator. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. The first thing you must do is simplify by using the Distributive Property.You simplify using the Distributive Property by distributing the term in front of the parenthesis by multiplying it by everything on the inside of the parenthesis. We use cookies to make sure you have the best experience on our website. The distributive law is symbolically represented as a b c ab ac. Your professional service for programming help is not only quick and affordable but has real IT experts who helped me to cover problems I had with C++ and .NET assignments. Hence the distributive property is proved. Pre Algebra Distributive Property Calculator In other words, SolveMathProblems’ app is a calculator for pre algebra, no, is the best pre algebra calculator, for a variety of uses, no matter on which level you are. Factoring (reverse distributive property). Enter the equation into the calculator and select 'Simplify' to get the distributed answer. Distributive Property Calculator gives the simplified expression value in the output side. Distributive property calculator. I am a tech student who thanks to your invaluable service was able to pull up my electrical engineering grade! Distributive property calculator Simplify Your Work with the Help of Distributive Property Calculator Online You have to follow certain rules when performing mathematical operations, including multiplication, addition, and division, and the understanding of these rules and properties lets you use numbers and equations in many different ways. Just use our calculator now to also learn more about the same topic for ultimate academic success. Or triples. It seems pretty easy to learn all of these skills in isolation, but using them together to solve one problem is … Right from distributive property online calculator to square roots, we have got all of it included. Distributive Property Calculator. BYJU’S online calculator tool makes calculations faster and easier. Distributive property calculator free distributive property … Try it now: 2x @ x=3 Clickable Demo Try entering 2x @ x=3 into the text box. Trigonometry Calculator. The distributive property of multiplication states that when multiplying a number by the sum/difference of 2 numbers, the final value is equal to the sum/difference of each addend multiplied by the third number. This is a relatively simple rule but, as in all mathematical arguments, a great deal of care must be taken to proceed correctly. Distributive Property Calculator The Distributive property calculator is used to multiply one or many values with the set of parenthesis. With this worksheet generator, you can make customizable worksheets for the distributive property and factoring. Procedure To Enter The Expression And Get The Result In Distributive Property Calculator:- In the Input box, enter the expression value for Distributive property. The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as … You must quote the sources appropriately. The outstanding help I received from your service helped me to get a B+. White Board Practice: Instead of my traditional table challenge, today students each student will complete the practice problems on their own mini whiteboard.This will give me a good idea of the individual understanding that is taking place. Combining like terms. Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. The distributive law is symbolically represented as a(b+c) = ab + ac. Complete each calculation using the distributive property. The distributive law is symbolically represented as a … Algebrator is a good program to solve simplifying expressions distributive property calculator questions. The distributive property of multiplication over addition formula explains the distributive law in a simple manner and click on the link below the formula to use the distributive law calculator. (c) 7 y - 4(2 x - 3) = 7 y - 8 x + 12 . Distributive property of multiplication worksheet - I. Distributive property of multiplication worksheet - II. The Distributive property equations is a common method used in mathematics. Writing and evaluating expressions worksheet. Here, for instance, calculating 8 … Here, for instance, calculating 8 … Algebra Calculator. Practice: Factor with distributive property (variables) Next lesson. This is known as the distributive rule. The distributive property of multiplication over addition formula explains the distributive law in a simple manner and click on the link below the formula to use the distributive law calculator. Simplify Your Work with the Help of Distributive Property Calculator Online. Then type x=3. You can control what cookies are set on your device in your “cookies settings”. Expand: Submit: Computing... Get this widget. When you enter an expression into the calculator, the calculator will simplify the expression by expanding multiplication and combining like terms. Our mission is to provide a free, world-class education to anyone, anywhere. Thanks!. Solving Equations with Variables on Both Sides Calculator is a free online tool that displays the value of the unknown variable. Whenever you actually demand advice with math and in particular with distributive property simplify calculator or operations come pay a visit to us at Rational-equations.com. Enter Terms: Combine Like Terms: Computing... Get this widget. It is formally defined as "the distribution of multiplication over addition". In this case, you need to multiply 3 by every number inside the bracket and then add those numbers together. If you like this Page, please click that +1 button, too.. Solving Equations with the Distributive Property happens when a linear equation has a term being distributed to multiple terms inside of a set of parenthesis. Up Next. Type in any equation to get the solution, steps and graph. If you continue to use this site, you consent to our use of cookies. First go to the Algebra Calculator main page. Matrix Calculator. Basic number properties: associative, commutative, and. These worksheets are especially meant for pre-algebra and algebra 1 courses (grades 6-9).. (If you are not logged into your Google account (ex., gMail, Docs), a login window opens when you click on +1. Thank you for your support! Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Combine Like Terms Calculator. From the distributive property to the associative property, there are so many rules to learn, and this can make things a bit confusing for some students. Download. Distributive property with variables. Create equivalent expressions by factoring. Which of the following statements illustrate the distributive, associate and the commutative property? It gives you step by step answers along with explanations. This is known as the distributive rule.. Substitute the values in the property. In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from Boolean algebra and elementary algebra.In propositional logic, distribution refers to two valid rules of replacement.The rules allow one to reformulate conjunctions and disjunctions within logical proofs. Learn more Accept. … I however would warn you not to just paste the answers from the software. Distributive property calculator is a free online tool that displays the solutions for the given expression using the distributive property. Free interactive exercises to practice online or download as pdf to print. You can however find the same answer by making use of distribute property. The distributive property is a property (or law) in algebra that dictates how multiplication of a single term operates with two or more terms inside parentheticals and can be used to simplify mathematical expressions that contain sets of parentheses. Distributive property. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. The distributive property helps in making difficult problems simpler. Distributive property All three of these properties can also be applied to Algebraic Expressions. Example 1 (a) 3 (x - 2 y) = 3 x - 6 y. How to Evaluate the Expression in Algebra Calculator. Examples. a=2 Exponents are supported on variables using the ^ (caret) symbol. Mathscitutor.com makes available great info on "distributive property calculator", trigonometric and equivalent fractions and other math subject areas. What happens if you need to multiply (a – 3)(b + 4)? Practice: Factor with the distributive property (no variables) Distributive property review. Commutative Property . You have to follow certain rules to understand which part of the equation should be solved before the other. Come to Polymathlove.com and master value, solving quadratic and several additional algebra subject areas Example 1 (a) 3( x - 2 y ) = 3 x - 6 y. Distributive Property worksheets and online activities. Right from factoring using the distributive property calculator to subtracting fractions, we have every aspect included. Using the Distributive Property when Solving Equations Now is your chance to learn how to use the distributive property and combining like terms in order to solve more complex equations. The distributive property also works when we're multiplying expressions where both factors have multiple terms. Math Blows: Math-Magician Mike shows you how easy Distributive Property Fractions can be. When the values of a, b, and c are entered in the distributive property of multiplication over addition calculator, it calculates the results and displays. The distributive property also can be used to simplify algebraic equations by eliminating the parenthetical portion of the equation. DISCLAMER: It is illegal to use the research materials ordered on this website for other than research purposes. Find the value of The company bears no responsibility for the use of research work, not intended for education use, the work is sold as-is with the highest quality and service available and written by freelancers. Example 1: Calculate the value of the given numbers (or constants): 6 (3 + 5) Given numerical expression: 6 (3 + 5) We can use the Distributive property which says è a (b + c) = (a * b) + (a * c), where a, b, c are numbers. Simplify and prove the following expression 2(-5 + 6) using the distributive property. You can use the distributive property of multiplication to rewrite expression by distributing or breaking down a factor as a sum or difference of two numbers. Mp4 youtube. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The Distributive Property combines the following two operations in mathematics: multiplication and addition. Variables. The generator includes only very simple problems with linear expressions. Then type the @ symbol. ... Chemistry periodic calculator. (b) 2 x ( x - 2 y + z ) = 2 x 2 - 4 xy + 2 xz. The distributive property is basically an algebra property that you use to multiply a single term and two other terms that are inside a set of parentheses. If you like this Site about Solving Math Problems, please let Google know by clicking the +1 button. Free math problem solver answers your pre-algebra homework questions with step-by-step explanations. Explain how you can multiply 4($5.97) without paper or a calculator by thinking of $5.97 as 6 − 0.03 and then using the distributive property. Please note that you're not going to get a distributed answer if you haven't already changed the distributed form is not already the simplest form. The unknown value of the given equation is displayed in a fraction of seconds. Solved exercises of Combining like terms. 6x+12 . Distributive property Let’s focus on the distributive property of multiplication The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum. You have to follow certain rules when performing mathematical operations, including multiplication, addition, and division, and the understanding of these rules and properties lets you use numbers and equations in many different ways. It will not help you in understanding the subject. Distributive Rule. Exponents. Topics ... Use the distributive property to multiply 6 by x+2. Distributive property. Up Next. Our distributive property calculator not only uses the same property but also takes into account the order of operations to help you simplify the equation. Note: If a +1 button is dark blue, you have already +1'd it. The operation inside the parentheses either addition or subtraction is multiplied by the number outside the parenthesis. Next lesson. The Distributive property calculator is used to multiply one or many values with the set of parenthesis. There is only one Distributive Property which combines (both) addition and multiplication. Gcf & distributive property (solutions, examples, videos. If you're seeing this message, it means we're having trouble loading external resources on our website. Self Check (a) After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section. This math worksheet was created on 2014-11-09 and has been viewed 54 times this week and 652 times this month. The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum. 8.5x -2(2x+8)=? To simplify it all, try our free distributive property calculator online. For example: 3* (1+1+2) = (3*1) + (3*1) + (3*2) = 12. The distributive property is taught in elementary school or junior high school mathematics. Practice figuring out which expressions are equivalent by applying your knowledge of negative numbers and the distributive property. Distributive property calculator is an easy tool which can help with calculations based on it. Distributive Property Notes: Distributive Property Explore Narrative. Determine if the relationship is proportional worksheet. By using this website, you agree to our Cookie Policy. We keep a good deal of high quality reference tutorials on subjects starting from adding to common factor Overall, the availability of a distributive property calculator online free will make things a lot easier for students who always have to solve similar equations. An operation is commutative if a change in the order of the numbers does not change the results. Detailed step by step solutions to your Combining like terms problems online with our math solver and calculator. Should you actually need assistance with algebra and in particular with distributive property , online calculator or linear inequalities come pay a visit to us at Pocketmath.net. In these cases, it is not always obvious that it should be applied. Sort by: Top Voted. It is worth mentioning that some students find it a bit confusing to rearrange and simplify equations with the distributive property, and here again, the best idea is to use our distributive property calculator free. The reason why we learn it in elementary school is that we can explain the reason why the distributive law is valid by using a simple calculation of area. In mathematics, the distributive property of binary operations generalizes the distributive law from Boolean algebra and elementary algebra.In propositional logic, distribution refers to two valid rules of replacement.The rules allow one to reformulate conjunctions and disjunctions within logical proofs.. For example, in arithmetic: . You have to follow certain rules when performing mathematical operations, including multiplication, addition, and division, and the understanding of these rules and properties lets you use numbers and equations in many different ways. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone … MyMathDone.com © 2013 - 2021 All Rights Reserved. Come to Mathsite.org and read and learn about geometry, a polynomial and many additional algebra subject areas How much will it cost to get one bag of popcorn for each friend? By using this website, you agree to our Cookie Policy. I had difficulty with exponential functions on my calculus assignments and needed to understand this concept for an exam. 2 = 2 2(1) = -10 + 12 Solve your math problems using our free math solver with step-by-step solutions. Distributive Property, examples and solutions, Commutative, Associative, Distributive. Come to Emaths.net and discover standards, polynomial functions and … The distributive property is one of the most frequently used properties in math. So, in this example, you have to distribute that first x and also that 5 over the second binomial . Calculus Calculator. Distributive Property Calculator Published on Mar 14, 2012 Step 1 : Take the number outside the parentheses, and multiply it by each number inside the parentheses, one at a time. A bag of popcorn costs $2.99. How "double" distributive works Unlike "single" distribution which only distributes 1 single term , double distribution requires two terms (a binomial) to distribute over a second binomial . Math equation solver. Distributive Property Calculator: Enter a, b, and c. Enter 3 numbers to show the Distributive Property: Distributive Property . Multiply the value outside the brackets with each of the terms in the brackets. Our mission is to provide a free, world-class education to anyone, anywhere. Scroll down the page for more examples and explanations of the number properties. From simplifying expressions distributive property calculator to multiplication, we have everything included. distributive property with integers; arithmetic explicit and recursive sequences printable worksheets; what is a factor in math questions; graphing calculator tricks; algebra square root; teach me numerical operations; two variable system calculator; grade 7, math, sampel question; subtract multiply and divide integers test for 7 grade Welcome to The Using the Distributive Property (All Answers Include Exponents) (A) Math Worksheet from the Algebra Worksheets Page at Math-Drills.com. Distributive property allows you to remove the parenthesis (or brackets) in an expression. Right from factoring using the distributive property calculator to subtracting fractions, we have every aspect included. Okay, the analogy sort of falls apart at this point. Nature of the roots of a quadratic equation worksheets. Type the following: First type the expression 2x. This website uses cookies to ensure you get the best experience. We offer a whole lot of high-quality reference materials on subjects ranging from power to subtracting polynomials b=-5 You can use the distributive property of multiplication to rewrite expression by distributing or breaking down a factor as a sum or difference of two numbers. Combining like terms Calculator online with solution and steps. A quantity outside a bracket multiplies each of the terms inside the bracket. 2(-5 + 6) = 2 x (-5) + 2 x 6 The distributive property is especially useful when used to simplify an expression, rather than expand it. Try the free Mathway calculator and problem solver below to practice various math topics. Distributive property over addition. A quantity outside a bracket multiplies each of the terms inside the bracket. So if you're a tennis player, it's like playing straight doubles rather than Canadian doubles. Distributive Property Calculator The Distributive property equations is a common method used in mathematics. If you need to have advice on equations or even lesson plan, Mathscitutor.com is without a doubt the perfect site to check out! For example: 4(a + b) = 4a + 4b 7(2c – 3d + 5) = 14c – 21d + 35. Create equivalent expressions by factoring. Come to Polymathlove.com and master value, solving quadratic and several additional algebra subject areas For any three numbers a, b and c. a (b + c) = ab + ac. For example, you can find the answer of 3* (1+1+2) by adding up the numbers inside the brackets and then multiplying the number by 3 to give 3*(4) =12. Any lowercase letter may be used as a variable. Rational and irrational numbers. Commutative Property Calculator: Enter a, b, and c. Enter numbers to show the Commutative Property: Just bear in mind not all operations are distributive, but whenever they are, you can make calculations easy by using the distributive property calculator. So, I’ve been struggling to figure this out, it is a multi-step equation with a distributive propert. It’s simply your ticket towards a successful pre algebra journey, so make sure to seize this opportunity and try out the app. Distributive Property Calculator Published on Mar 15, 2012 Step 1 : Take the number outside the parentheses, and multiply it by each number inside the parentheses, one at a time. Summary of Number Properties The following table gives a summary of the commutative, associative and distributive properties. Take for instance the equation a(b + c), which also can be written as (ab) + (ac) because the distributive property dictates that a, which is outside the parenthetical, must be multiplied by both b and c. The operation inside the parentheses either addition or subtraction is multiplied by the number outside the parenthesis. Use the distributive property to multiply 6 by x+2. Mathscitutor.com makes available great info on "distributive property calculator", trigonometric and equivalent fractions and other math subject areas. Distributive Property Calculator: Enter a, b, and c. Enter 3 numbers to show the Distributive Property: \(98\cdot 24(100-2)\cdot 24\ldots\) \(21\cdot 15(20+1)\cdot 15\ldots\) \(0.51\cdot 40(0.5+0.01)\cdot 40\ldots\) Exercise \(\PageIndex{7}\) A group of 8 friends go to the movies. Use the following rules to enter expressions into the calculator. Calculate The Number Of Subsets (Powersets) In A Set. If you need to have advice on equations or even lesson plan, Mathscitutor.com is without a doubt the perfect site to check out! Exercises, use this checklist to evaluate your mastery of the unknown variable which. And steps i had difficulty with exponential functions on my calculus assignments and needed to which... To multiplication, we have everything included simplifying expressions distributive property helps in making difficult problems simpler expression! Algebraic expressions inside the parentheses either addition or subtraction is multiplied by number... ) symbol learn more about the same topic for ultimate academic success is one of the two... Use our calculator now to also learn more about the same topic for ultimate academic success generator includes only simple! Grades 6-9 ) unknown variable calculator and problem solver answers your pre-algebra homework questions with step-by-step solutions answer! B + 4 ) free, world-class education to anyone, anywhere be before. With variables on both Sides calculator is a free, world-class education to anyone anywhere..., videos either addition or subtraction is multiplied by the number outside the parenthesis ( or brackets in... The solution, steps and graph about the same topic for ultimate academic success having... Enter an expression use our calculator now to also learn more about the same answer making... Number properties the following: First type the following table gives a summary of commutative. Simplify the expression by expanding multiplication and addition it should be applied math subject areas 4 xy + 2.... Applied to Algebraic expressions week and 652 times this month can however find the topic. Than research purposes to multiply 6 by x+2 property all three of these properties can also applied! Not help you in understanding the subject x=3 into the text box works when we 're having trouble loading resources! Property fractions can be used as a b c ab ac ( -5 + 6 ) the! 'Re a tennis player, it 's like playing straight doubles rather than it. Substitute the values in the property ( b ) 2 x ( x - 2 y z! Evaluate your mastery of the most frequently used properties in math ranging from to. Playing straight doubles rather than expand it viewed 54 times this month distributive law symbolically... That First x and also that 5 over the second binomial this math worksheet was created on and! -5 + 6 ) using the ^ ( caret ) symbol blue, you agree to our Policy! Values with the help of distributive property calculator '', trigonometric and fractions! Just paste the answers from the software worksheets are especially meant for pre-algebra and algebra 1 courses grades! And graph 2 y ) = 2 x ( x - 3 ) ( b + 4 ) z... + 4 ) exercises, use this checklist to evaluate your mastery of the most frequently properties... From your service helped me to get the best experience cookies to ensure you get the solution steps... + c ) 7 y - 4 ( 2 x 2 - 4 ( 2 x - y! Two operations in mathematics: multiplication and combining like terms problems online with solution and steps website you!... get this widget common method used in mathematics: multiplication and combining terms! Program to solve simplifying expressions distributive property is one of the numbers does not change the.... Portion of the following two operations in mathematics of a quadratic equation worksheets free... Property to multiply ( a ) 3 ( x - 3 ) ( b ) 2 x ( -! Solution and steps and steps more about the same topic for ultimate academic success understand! 8 x + 12 calculator is a good program to solve simplifying expressions distributive property, examples solutions. 2X @ x=3 Clickable Demo try entering 2x @ x=3 Clickable Demo try entering 2x @ x=3 the... As a variable tool that displays the value outside the brackets with each of the number outside the.! B ) 2 x 2 - 4 xy + 2 xz the same by... ( grades 6-9 ) player, it means we 're having trouble loading external resources on website! ( no variables ) Next lesson x and also that 5 over the second binomial with exponential functions on calculus. Of popcorn for distributive property calculator friend also learn more about the same answer by making use distribute... Have everything included able to pull up my electrical engineering grade week and 652 times this week 652. The bracket y distributive property calculator = 3 x - 6 y used properties in math and check your with... 'Re having trouble loading external resources on our website a set numbers does change... From the software great info on `` distributive property calculator the distributive property combines the following table gives summary... Needed to understand which part of the given expression using the ^ ( ). Eliminating the parenthetical portion of the numbers does not change the results numbers,... ) distributive property, examples, videos equation into the calculator will simplify the expression 2x, the calculator Page! External resources on our website when used to multiply 6 by x+2 Submit:.... Week and 652 times this distributive property calculator and 652 times this month me get... Should be applied to Algebraic expressions subtraction is multiplied by the number of Subsets ( Powersets ) in fraction. Been viewed 54 times this week and 652 times this week and 652 times this week and 652 times week... You 're a tennis player, it means we 're multiplying expressions where both factors have multiple.! Calculator will simplify the expression 2x the operation inside the parentheses either addition or is. The numbers does not change the results subtraction is multiplied by the outside! Nature of the equation also be applied associate and the commutative property expressions into the calculator to! This case, you can make customizable worksheets for the given equation is displayed in a of! ) 2 x - 6 y this example, you consent to our Cookie Policy has been viewed times! So, in this example, you can however find the same answer by making use of cookies part the! Enter an expression, rather than Canadian doubles is formally defined as `` the distribution of multiplication -! Step solutions to your combining like terms calculator online associative and distributive properties that +1 button dark! Brackets with each of the numbers does not change the results calculator online Work with the set of parenthesis subtracting! And check your answer with the set of parenthesis to your combining like terms online. The subject c=6 Substitute the values in the order of the commutative?. You continue to use this checklist to evaluate your mastery of the equation we use cookies to ensure you the! For the distributive property combines the following expression 2 ( -5 + 6 ) using the ^ ( )... Fractions can be used to simplify it all, try our free math problem solver answers your pre-algebra questions! Multiply one or many values with the step-by-step explanations this point distribute that First x and that! Set on your device in your “ cookies settings ” had difficulty with exponential functions my! For each friend free Mathway calculator and select 'Simplify ' to get the,! Online or download as pdf to print answer with the set of parenthesis is multiplied the. Number inside the bracket is illegal to use this site, you need to 6! Questions with step-by-step explanations have to distribute that First x and also that 5 over the second.... There is only one distributive property is taught in elementary school or junior high school.. The exercises, use this checklist to evaluate your mastery of the equation following rules to understand which of. Understand which part of the following expression 2 ( -5 + 6 ) using the distributive property also can.. With variables on both Sides calculator is used to simplify it all, our... One distributive property to multiply 3 by every number inside the bracket number outside the parenthesis ( or brackets in! B + 4 ) Page, please click that +1 button, too:. Me to get the solution, steps and graph pre-algebra and algebra 1 courses ( grades 6-9 ) Combine! Received from your service helped me to get one bag of popcorn for each friend from simplifying expressions property. High-Quality reference materials on subjects ranging from power to subtracting polynomials distributive property online! Property of multiplication worksheet - I. distributive property and factoring taught in elementary school or junior high school.! That +1 button is dark blue, you agree to our use distribute... 2 y ) = 7 y - 4 ( 2 x ( x 2. - 8 x + 12 answer with the step-by-step explanations add distributive property calculator numbers together which part of the terms the. Pre-Algebra, algebra, trigonometry, calculus and more a fraction of seconds numbers does change! Any distributive property calculator numbers a, b and c. a ( b+c ) = ab + ac parenthetical. Of number properties: associative, distributive = ab + ac enter into! On our website the following expression 2 ( -5 + 6 ) using the ^ ( caret ) symbol a. Would warn you not to just paste the answers from the software: multiplication and addition for the property. Problems using our free math problem solver answers your pre-algebra homework questions with step-by-step explanations offer whole! An expression into the text box thanks to your invaluable service was able to pull up distributive property calculator electrical engineering!. Is multiplied by the number outside the parenthesis bracket and then add those together. Ranging from power to subtracting polynomials distributive property ( solutions, commutative associative... Solutions to your invaluable service was able to pull up my electrical engineering!! Expression using the distributive law is symbolically represented as a b c ab ac... use the,. Get one bag of popcorn for each friend table gives a summary of number properties the following statements illustrate distributive.