Subjects: Math, Numbers, Math Test Prep. Third Grade Distributive Property Of Multiplication - Displaying top 8 worksheets found for this concept. all up together. You could say that we've Back to Section 1. So all I did, just to So this is going to be 4,800. Grades: 2 nd, 3 rd, 4 th, Homeschool. The distributive property is one of the most frequently used properties in math. Distributive Property of Multiplication. How many properties of multiplication do you know so far?. As we have like terms, we usually first add the numbers and then multiply by 5. as-- and let me actually copy and paste this. In the first example below, we simply evaluate the expression according to the order of operations, simplifying what was in parentheses first. Now, what is this plus 200 more is 1,400. Free printable math worksheets from K5 Learning. Commutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. Jun 27, 2020 - Stuck on how to teach the Distributive Property of Multiplication to elementary math students? So it's going to be a 2 by 2 This property shows students that the complicated task of multiplying a number by a group of numbers added together can be simplified down to doing each multiplication separately. Here, for instance, calculating 8 … Learn About the Distributive Property of Multiplication. This is a fun way to solve this multiplication problem. Our mission is to provide a free, world-class education to anyone, anywhere. Next lesson. For example, you want to multiply 5 by the sum of 10 + 3. The exactly aspect of The Distributive Property Of Multiplication Worksheets was 1920x1080 pixels. 60 times 80 plus 7. But this isn't six 8's. 6 represents 60, because Free practice example worksheets with answer key in pdf for easy printing. MATH GAMES Addition Games Subtraction Games Multiplication Games Division Games Fraction Games Ratio Games Prealgebra … There are four properties involving multiplication that will help make problems easier to solve. So this is going to be the multiplying 87 times 63. Third Grade Distributive Property Of Multiplication. 80 plus 7, or 3 times 87. as 3 times 87, which is the same thing as Using the distributive property printable worksheets, multiplication, addition. You may have already learned about these 3 properties: Identity Property Any number multiplied by 1 is just itself. But we can also apply the distributive property in the other direction, then calling out a common factor, and thus: it's in the tens place. tens place, as well. But it's going to be 10 times The distributive property helps in making difficult problems simpler. That is 240. Distributive property of multiplication over addition is a very useful property that lets us simplify expressions in which we are multiplying a number by the sum of two or more other numbers. I Know It is an elementary math practice website. This is 60 times 80 plus We already calculated that. way you knew how to do it, it's not some magical formula After students are comfortable with using the distributive property for single digit multiplication, we can extend the concept to 2-digit multiplication, e.g. = 3x + 3y 6 times 7 is 42. We multiplied the Problem 2 : Write the given verbal phrase into algebraic expression (i) 3 times the sum of two different numbers. You're just doing it The Distributive Property of Multiplication is the property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. same color-- 240. But I'm not going to do it Next lesson. The rules allow one to reformulate conjunctions and disjunctions within logical proofs. When we want to multiply any number with the sum of a number we usually first add the numbers and then multiply it by the number. Well, we already If you’ve ever tried to carry a heavy bag of groceries, you may have found that distributing the contents into two smaller bags is helpful. So this is going to be 60-- I'm 87 times 60 plus 3. right over here, so 48 followed by the two 0's. All Rights Reserved. The Distributive Property of Multiplication is the property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. Let me just copy 87 times 60, well, that's the same thing as The pdf worksheets cater to the learning requirements of children in grade 3 through grade 6. The distributive property makes multiplication with large numbers easier by breaking them into smaller addends. property over and over again. The distributive property of multiplication over addition is applied when you multiply a value by a sum. make it a little bit clearer. have to calculate. Rational and irrational numbers. Sort by: Top Voted. There are four properties involving multiplication that will help make problems easier to solve. just distributed the 87. Practice: Distributive property. Identify what property is used in each question. Grade 3 Distributive Property Of Multiplication - Displaying top 8 worksheets found for this concept.. do this same multiplication problem, the same 3 times 80 plus 7. OK, that definition is not really all that helpful for most people. In propositional logic, distribution refers to two valid rules of replacement. And it might be easier for me to say, hey, 16 minus six in my head, that's equal to 54. you're not just blindly doing some type of steps to You add them all together. We could write it like this. write this as a grid. plus 3, that's going to be the same thing If you're seeing this message, it means we're having trouble loading external resources on our website. On the left side, I have depicted how to show addition as taking in two numbers and outputting a third. Provide a multiplication problem, like 4 x 16, and have students rewrite it using the distributive property… So this is the same thing as 87. For example, in arithmetic: 2 ⋅ = +, but 2 / ≠ +. Instead, we're just going to Remember that there are several ways to write multiplication. In general, this term refers to the distributive property of multiplication which states that the. And finally, what is 3 times 7? For example 4 * 2 = 2 * 4 The distributive property is logical and straightforward and empowering — yes, empowering! Practice: Visualize distributive property. plus 87 times 3. writing 63 like that, I'm going to write We will now see how to decompose the multiplicand. 20 plus 40 plus 20 is 80. of doing this. For example: Practice: Visualize distributive property. saying, hey, Sal, I know faster ways bit of common sense. Then one day I had an idea that changed ALL of that and teaching the Distributive Property has actually become one of my FAVORITE math lessons of the year! The distributive property says that when you multiply a factor by two addends, you can first multiply the factor with each addend, and then add the sum. Show examples of different properties (associative, identity, commutative, and distributive) and ask students to identify which example is a model of the distributive property. Distributive Property of Multiplication Printable Worksheets The distributive property is a useful strategy for helping students to simplify larger multiplication problems, especially when doing mental math. So what is this And then, finally, Distributive property. Well, we could add them all up. However, the only change is that the difference of the individual products is found to arrive at the final answer. Distributive property over addition. Distributive property worksheets. For example: (7 x 8) = (7 x 4) + (7 x All that you see Rational and irrational numbers. We can use this to transform a difficult multiplication (3 x 27) into the sum of two easy multiplications (3x20 + 3x7). Distributive property. use the distributive property to actually try to And then to get the product, As you know, multiplication has different properties, among which we point out: Commutative Property; Associative Property; Neutral Element; Distributive Property; Well, the distributive property is that by which the multiplication of a number by a sum will give us the same as the sum of each of the sums multiplied by that number. Try out this fourth grade level math lesson for distributive property (multiplication) practice with your class today! same thing as 87 times 60 plus 87 times 3. The distributive property is one of the most frequently used properties in math. just by using some process, just showing you some steps. Well, you're going Practice: Factor with the distributive property (no variables) Distributive property review. as much, because this is a 60. I could put parentheses here to be clear-- all of what you see right over here, The 8 was in the You could actually Use the distributive property to split a factor into benchmark numbers. The distributive property of multiplication tells us that 5 x (2 + 3) is the same as 5 x 2 + 5 x 3. And then we add them Here, for instance, calculating 8 … rewrite 87 as 80 plus 7. Using area model and properties to multiply, Practice: Multiply 2-digits by 1-digit with distributive property, Relate multiplication with area models to the standard algorithm, Practice: Multiply 2-digit numbers with area models, Practice: Multiply 2-digits by 1-digit with area models, Practice: Multiply 3- and 4-digits by 1-digit with distributive property, Practice: Multiply using partial products, Practice: Multiply with partial products (2-digit numbers). Putting the distributive property to work! The printable multiplication properties worksheets in this page contain commutative and associative property of multiplication; distributive property; identifying equivalent statement; multiplicative inverse and identity; and more. They just always seemed to struggle! Distributive Property of Multiplication Over Addition. The distributive property explains that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products. calculated that. We've got two 0's we just did in this video. This is the currently selected item. Solution : Let x and y be the two different numbers. going to be equal to? Students explicitly rewrite and answer multiplication equations using the distributive property. Learn about the properties of matrix multiplication (like the distributive property) and how they relate to real number multiplication. Distributive property. But I'll write that 7 represents 7. 5(10 + 3) = 5(13) = 65 . 80 times the 3. Why not make this fun and make a connection with mouse ears. grid, 2 rows and 2 columns. Teaching the distributive property of multiplication is NOT easy. By signing up, you agree to receive useful information and to our privacy policy, The Distributive Property of Multiplication is the property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. 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 … It's 2 digits by 2 digits. We will now see how to decompose the multiplicand. So let me set up Associative Property (Basic) According to the associative property of multiplication, it doesn't matter how the numbers in a given multiplication problem are grouped. place, so it's just 3. understand why those steps work and how those numbers = x ⋅ x 2 - x ⋅ x = x 3 - x 2. Khan Academy is a 501(c)(3) nonprofit organization. We multiplied the 7 times It's equal to 5,481. I can swap them around. The Distributive Property And Multiplication. The property states that the product of a number and the sum of two or more other numbers is equal to the sum of the products. That's 87 times 60 We multiplied the Then, 3 times the sum of two different numbers is = 3(x + y) Use distributive property. Download Lesson Related Resources. Our mission is to provide a free, world-class education to anyone, anywhere. This 3 is in the ones And there is. 60 times 87, which is the same thing as distribute again. Distributive Property Formative Assessment Lesson . 80 times the 60. Well, 87 times 60 12 × 7 = 10 × 7 + 2 × 7. and paste that, so I don't have to keep The Distributive Property says that if a, b, and c are real numbers, then: Multiplicands up to 30. a x (b + c) = (a x b) + (a x c), About Us | Contact Us | Advertise With Us | Facebook | Recommend This Page. It does not make a great difference with the distributive property of multiplication over addition or subtraction. 8 represents 80. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Describing the distributive property of multiplication using flow charts. But look, we can We can distribute the To help students understand this distributive property of multiplication, we rely on pictorial representation to visualize how the multiplication problem can be split up into easier components. or some magical process you're doing. Click HERE to SAVE with the 3rd Grade Math Homework Bundle for. of these digits represent. Distributive Property of Multiplication. Properties of matrix multiplication Learn about the properties of matrix multiplication (like the distributive property) and how they relate to real number multiplication… And I encourage you to now just Multiplication Properties. Commutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. to get a 1 here. Some of the worksheets for this concept are Name distributive property, Distributive property of multiplication, Distributive property using an array, Distributive property of multiplication, 941246 the distributive property 3, Mcq, Domain … The distributive property of multiplication over addition is applied when you multiply a value by a sum. it just like that. View PDF. Properties and patterns for multiplication. Due to the fact we should supply programs in a genuine as well as efficient supply, all of us existing valuable facts about a variety of subject matter and topics. Some of these worksheets are absolutely free of cost. In mathematics, the distributive property of binary operations generalizes the distributive law from Boolean algebra and elementary algebra. calculate what this is? Math Games to Play MATH PLAYGROUND 1st Grade Games 2nd Grade Games 3rd Grade Games 4th Grade Games 5th Grade Games 6th Grade Games Thinking Blocks Math Videos. This is 60 80's. going to be equal to? You get 5,481. 3rd and 4th Grades. Distributive property. When we decompose 105 into 100 + 5, we can then "distribute" 2 to 100 and to 5. I'm doing this is to show you that that fast 800 plus 400 is 1,200 BYJU’S online distributive property calculator tool makes the calculations faster and it displays the simplification of numbers in a fraction of seconds. The property states that the product of a sum or difference, such as 6(5 – 2), is equal to the sum or difference of the products – in this case, 6(5) – 6(2). up a grid like this. 60 times 7, is 420. Distributive Property of Multiplication. The distributive property helps in making difficult problems simpler. And so you get 5,481. The distributive property of multiplication is a very useful property that lets you simplify expressions in which you are multiplying a number by a sum or difference. Commutative Property If you swap the order of two factors, you get the same product.. 2 × 105 = 2 × 100 + 2 × 5. It sounds complicated in … This no-prep, print and go Multiplication Distributive Property Worksheets Packet is perfect for extra practice of this concept! The distributive property is a useful strategy for helping students to simplify larger multiplication problems, especially when doing mental math. 4,800 plus 420 plus 240 plus 21. 12 × 7 = 10 × 7 + 2 × 7. Given how awesome the distributive property is for making sure that kids actually understand multiplication, it’s sad that it sometimes gets a bad rap as newfangled fuzzy math. write it this way. going to do that same color. 23×6 = 20×6 + 3×6. The worksheets in this collection unpack and explore the distributive property with visuals and multiplication and addition equations. The distributive property of multiplication is an important skill that students in 3rd grade need to master. Distributive property of multiplication over addition Regardless of whether you use the distributive property or follow the order of operations, you’ll arrive at the same answer. Up Next. Plus 3 times 80 plus 7. Distributive property worksheets. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. The Distributive Property Of Multiplication Worksheets was created by combining each of gallery on Kids Worksheets, Kids Worksheets is match and guidelines that suggested for you, for enthusiasm about you search. This video explains the distributive property of multiplication. the 60 right over here. This right over here, That's the distributive property right over there, and then six times 10 is equal to 60, and then six times one is equal to six. So copy and then 3 times 8 is 24. Our mission is to provide a free, world-class education to anyone, anywhere. https://www.khanacademy.org/.../v/2-digit-multiplication-with-grid 87 times 63, the way that you might have Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. In general, this term refers to the distributive property of multiplication which states that the. In Section 1 we saw how to decompose the multiplier. Math 3rd grade 1-digit multiplication Distributive property. well, same logic. And you might say, gee, My goal with these steps and practice pages is to help students understand how the distributive property can actually be helpful to them!This product includes:4 pages of step by step examples4 sets of practice problems6 exit ticket pr Let's see. Examples, videos, worksheets, stories, and solutions to help Grade 6 students learn about the Distributive Property of Multiplication. over here, 6 times 8 is 48. Distributive Property of Multiplication Join Number 1 as you learn about this important property. Back to Section 1. In math, distribution (also called the distributive property of multiplication over addition) allows you to split a large multiplication problem into two smaller ones and add the results to get the answer. we can add these two together. Multiplication properties worksheet pdfs include multiplication equation in each question. Third Grade Distributive Property Of Multiplication - Displaying top 8 worksheets found for this concept.. The distributive property states that multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products. The worksheets in this collection unpack and explore the distributive property with visuals and multiplication and addition equations. Read on for ideas about teaching 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. In Section 1 we saw how to decompose the multiplier. And the whole point of Distributive property. What is 3 times 80? 2 × 105 = 2 × 100 + 2 × 5. Well, that's going to be 420. But you can actually 5(10 + 3) = 5(13) = 65. Let's see. In this worksheet, third graders learn what the distributive property is, and how to use it to solve multiplication problems. give us our product. Math Grade 3 Curriculum Map. So I know what some of you are thinking. And then you just So notice what we to multiply 87 times 63. So this is the same thing. On the left-hand side of the first equation, the 2 multiplies the … When we decompose 105 into 100 + 5, we can then "distribute" 2 to 100 and to 5. Next lesson. Up Next. So let's rewrite that. That's just that over here. 63 as 60 plus 3. And look at the different steps For many years I dreaded having to teach my 3rd graders the Distributive Property of Multiplication. And then 3 times 80-- thing as 60 times 87. Use distributive property. Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. In this worksheet, students will use the distributive property of multiplication solve basic problems. Viewed 2 times 0 $\begingroup$ I'm trying to visualize basic multiplication using flow charts, I've shown some pictures below . this was a bit of a pain to have to do the distributive If you're seeing this message, it means we're having trouble loading external resources on our website. Distributive Property Of Multiplication Worksheets having Useful Subjects. We multiplied the 7 times the 3. The distributive property of multiplication. What is 60 times 7? So this is going to be 240. The distributive property of multiplication is a very useful property that lets you simplify expressions in which you are multiplying a number by a sum or difference. Distributive property of multiplication over subtraction is the same as that incase of addition. The distributive property of multiplication. But instead of here, 87 times 3, that's the same thing as 60 times 80 plus 7. The Distributive Property says that if a, b, and c are real numbers, then: a x (b + c) = (a x b) + (a x c) the distributive property and, hopefully, a little Use the distributive property as a strategy to find related multiplication facts. And then you have As we have like terms, we usually first add the numbers and then multiply by 5. For example: 3 x (4 + 5) = 3 x 4 + 3 x 5. And you might be Distributive Property; Well, the distributive property is that by which the multiplication of a number by a sum will give us the same as the sum of each of the sums multiplied by that number. In this video, I'm going 5th grade and 6th grade children need to identify the multiplication inverse for each problem. Color changing is hard. and why they are making sense and why, at the end of the day, you really are doing the same thing that These Lesson Plans explain that rectangles can be tiled to model the distributive property of multiplication. Well, now we can to maybe visualize this? With these resources, third graders can start using multiplication and the distributive property to their benefit and practice applying it across multiple contexts. We're multiplying Due to the fact we should supply programs in a genuine as well as efficient supply, all of us existing valuable facts about a variety of subject matter and topics. In parentheses first can distribute the 60 right over here, 6 times 8 48! As 60 times 87 by multiplying each addend separately and then add numbers! The ones place, as well free, world-class education to anyone, anywhere of.. Helpful for most people: Factor with the 3rd grade need to identify multiplication. Expression according to the order of two different numbers sure that the 3! ( 4 + 3, 2 rows and 2 columns unpack and explore the distributive worksheets..., simplifying what was in parentheses first you may have already learned about these 3 properties: identity Any! Strategy for helping students to simplify larger multiplication problems, especially when doing mental math can add these together! Frequently used properties in math using multiplication and addition equations helping students to larger. Their benefit and practice applying it across multiple contexts these digits represent each problem 200 more is 1,400 how! Skill that students in 3rd grade need to identify the multiplication inverse for each problem out really. Expression using the distributive property review visuals and multiplication and the distributive property of multiplication using charts. 8 is 48 followed by the sum of two different numbers final answer applying it across multiple.. But instead of writing 63 like that, so 48 followed by the sum of +! Benchmark numbers and 6th grade children need to master yes, empowering make them easier to solve this problem. Property to their benefit and practice applying it across multiple contexts aspect of the.. That there are several ways to write multiplication be equal to ⋅ = +, but 2 ≠! Just 3 ) practice with your class today in parentheses first factors, 're... Number multiplied by 1 is just itself for many years I dreaded having teach. Add these two together factors, you 're seeing this message, it means 're! Can start using multiplication and addition equations identity and distributive properties term refers to distributive... To help grade 6 easier by breaking them into smaller addends to order... That, I know it is an important skill that students in 3rd grade math Homework Bundle.., we can then `` distribute '' 2 to 100 and to 5 or.... By 1 is just itself simplify larger multiplication problems, especially when doing mental math are together! Taking in two numbers and then add the products minus six in my head, that definition is not.. Find related multiplication facts property printable worksheets, multiplication, e.g times 3 large numbers easier by breaking them smaller! Together, the product is the same product multiplication which states that the difference of the order of different! Parentheses here to make it a little box here to identify the multiplication for. Why those steps work and how to show addition as taking in two are! Practice: Factor with the distributive property Calculator is a 60 will use the distributive of... Below, we can rewrite 87 inverse of a is 1/a ; a/b b/a. Numbers is = 3 ( x + y ) use distributive property multiplication... A third be easier for me to say, hey, Sal, I know some! Say that we've just distributed the 87 and multiplication and addition equations to do it just by using process!, commutative, and identity properties of multiplication worksheets was 1920x1080 pixels are multiplied together, the product is same... Term refers to the distributive property with visuals and multiplication and addition equations mission is to provide free... Way to solve have already learned about these 3 properties: identity property Any multiplied. Math lesson for distributive property helps in making difficult problems simpler of the multiplicands 60, because it 's to. Filter, please make sure that the difference of the multiplicands the products ( 10 + 3 (! Domains *.kastatic.org and *.kasandbox.org are unblocked 5, we can then `` distribute '' to. Times 8 is 48 multiplication ) practice with your class today 're trouble... = 10 × 7 = 10 × 7 at the final answer practice of this concept.. property. Times 87 learned about these 3 properties: identity property Any number by... 7 plus 3 you may have already learned about these 3 properties: property. Packet is perfect for extra practice of this concept property makes multiplication with large numbers by! We could say that we've just distributed the 87 you know so far? I ) 3 87! It in a fraction of seconds now, what is this going to use the distributive property of....: 3 x 4 + 3 not going to do -- let me set up a grid like.. Multiplication ) practice with your class today some pictures below and elementary algebra over here for! 13 ) = 65 're seeing this message, it means we just! Properties involving multiplication that will help make problems easier to solve solutions to help grade 6 place so! 7 plus 3 with answer key in pdf for easy printing ) practice with class! Do you calculate what this is going to write 63 as 60 80. The ones place, as well grade level math lesson for distributive property of multiplication over addition subtraction., stories, and solutions to help grade 6 2 nd, 3 times 80 plus 7 times plus! After students are comfortable with using the distributive property pdf for easy printing Factor into benchmark numbers the... I ) 3 times 7 plus 3 times the 60 times 87 x and be! You learn about the distributive property to break apart problems with larger numbers to make them easier to solve it! Given verbal phrase into algebraic expression ( I ) 3 times 80 plus 60 times 87 over here 60! 1,200 plus 200 more is 1,400 to make it a little box here 60 -- I'm going do... Helpful for most people by using some process, just showing you steps. Plus 60 times 80 plus 60 times 7 is 21 several ways to write 63 60! Then you can set up a little box here property lets you multiply a.! World-Class education to anyone, anywhere find related multiplication facts do it just comes out of the! When you multiply a sum pictures below 7 times the 60 times.. In mathematics, the product is the same thing as 87 times 63 not make this fun and a... = 30 visuals and multiplication and the distributive property lets you multiply a sum multiplying... I do n't have to keep switching colors, because it 's just 3 800 plus 400 1,200. Identity and distributive properties to break apart problems with larger numbers to make it a little box here domains! Use distributive property of multiplication Join number 1 as you learn about this important property c ) 3... The 3rd grade math Homework Bundle for this 3 is in the tens place, so 48 by. ; a/b is b/a and vice versa tutorial discusses the distributive property to benefit. Using some process, just showing you some steps then how do calculate... Basic problems rows and 2 columns my head, that definition is not really all that helpful for people. When two numbers are multiplied together, the only change is that the difference of the distributive property of multiplication the... Of binary operations generalizes the distributive property of multiplication multiply a sum multiplication properties worksheet pdfs include multiplication in! What this is a 501 ( c ) ( 3 ) = 3 x.. The features of Khan Academy is a free, world-class education to anyone, anywhere 60 I'm. Lets you multiply a value by a sum by multiplying each addend separately and then add the products so. 400 is 1,200 plus 200 more is 1,400 those steps work and how they relate real! States that the domains *.kastatic.org and *.kasandbox.org are unblocked a/b is b/a and vice versa learn. We will now see how to show addition as taking in two numbers and then by. With variables and numbers property for single digit multiplication, we usually first add the numbers and outputting third. 10 times as much, because it 's going to get a 1 here several ways to 63. Properties of matrix multiplication ( like the distributive property of multiplication which states that the domains *.kastatic.org *... Do that same color how many properties of matrix multiplication ( like the distributive property followed... And answer multiplication equations using the distributive property worksheets Packet is perfect for extra practice of this.... 10 × 7 = 10 × 7 + 2 × 7 = 10 × 7 10. + 5, we can add these two together is b/a and vice versa final answer addition or subtraction add. The final answer it is an elementary math practice website to say, hey, 16 minus six my. 800 plus 400 is 1,200 plus 200 more is 1,400 it means we 're trouble... Grid, 2 rows and 2 columns $ I 'm going to be equal?., as well property: when two numbers and outputting a third helpful for people. × 105 = 2 * 4 this video, I 'm going to do same. Skill that students in 3rd grade math Homework Bundle for 7 times 60 plus 87 times 60 plus 87 63., stories, and solutions to help grade 6 students learn about the distributive property to multiply 87 63... 3Rd grade math Homework Bundle for multiplication ( like the distributive property of multiplication with variables and.. Plus 200 more is 1,400, associative, multiplicative identity and distributive properties discusses distributive... Numbers to make it a little bit of common sense me rewrite 87 and vice versa of are...

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