length of the rope = \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) = 12 mm, No. The basic idea behind repeated addition is very simple. So we can just think of multiplication as adding some number together some other number of times, right? How many is 3 groups of 2 birds? If we add a number many a times we are actually doing multiplication. Is it the same as repeated addition? Days 3 and 4 - Equal Groups and Repeated Addition. Found inside – Page 53dEvEloPinG ThE MulTiPliCATion TAblE ThrouGh rEPEATEd AddiTion One way in which the multiplication table can be developed is to start with an empty chart ... Code below: [CODE]//Multiplication by Repeated addition . shows 5+5+5. MULTIPLICATION AND DIVISION The Repeated-Addition model If a and b are whole numbers and a is not zero, then ab = b + b + b + … + b ( a times). For example, 2 times 2 times 2 times 2 can be written as 2 × 2 × 2 × 2 = 16. If you are not sure about the answer then you can check the answer using Show Answer button. 2 × 1 =2. Khan Academy is a 501(c)(3) nonprofit organization. In other words, multiplication is repeated addition. What is another way of saying 6 + 6 + 6? Use Doubles. Found inside – Page 9The repeated sequences , located in the heterochromatic areas of the ... Repeatedly multiplied genes are known to code the structure of ribosomal , transfer ... 2 × 3 = 6. You can use Next Quiz button to check new set of questions in the quiz. This worksheet provides students with the opportunity to work with groups and explore arrays. Its purpose is to simplify equations and to help execute the problems more quickly. This understanding is very essential when we are solving story sums on multiplication, division, addition and subtraction. 7 x 8 = 56 The highlighted numbers are called the _______________. Found inside – Page 41This is because we commonly represent multiplication as repeated addition and division as repeated subtraction. For example, Kouba (1989) looked at pupils' ... Now, what does a problem like 3 x 2 look like on this number line? Multiplication The Simple Way Workbook. This book shows simple methods that are effective in learning multiplication. The book includes :Multiplication Facts, Worksheet, Repeated Addition, Commutative Property, Arrays, Groups Multiply 3-4 digits by 2 digit. Similarly, if 4 baskets contain 4 apples each, then to find the total number of apples we can write the expression in repeated addition form i.e., 4 + 4 + 4 . This is a complete lesson with teaching and exercises, showing how division can be seen as repeated subtraction. We can think of 3 x 1/2 as 1/2 + 1/2 + 1/2, which is equal to 3/2 or 1 1/2. Colorful Arrays . Along with addition and subtraction, most of us learn how to multiply two numbers together at a fairly early age. Multiplication is Repeated Addition. Multiplication is simply a form of repeated addition. Repeated Addition: In the olden days of the development in the number concept, around \(10,000\) years ago, people were using only the whole numbers.It may be that the earliest forefather of what is now multiplication was, in fact, repeated addition. Division as Grouping (2) Division by One Digit Number Including Remainders (5) Numbers 5-10A. The way many of us learned to multiply in school was to think of 3 x 2 as meaning the same thing as “three of the quantity two.” By that I mean if you have a box with two rocks in it, then 3 x 2 is the total number of rocks contained in three boxes that each contain two rocks. Let us understand it with an example: Table of 2. 2 × 1 =2. They may be asked to make 3 groups of 5 counters. Found inside – Page 8OBJECTIVES Students will be introduced to the concept of multiplication as repeated addition.Students will master multiplication of 0,1,and 10. And while "repeated addition" may get us the correct product for a given multiplication problem, it simply isn't true that multiplication is the same thing. The exponent corresponds to the number of times the base is used as a factor. But be careful! Multiplication is Repeated Addition Tune "She'll Be Comin' Round the Mountain When She Comes" By Ms. Watkins Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. Victorian Curriculum. Here are few other examples to show that multiplication Big Workbook for multiplication and division worksheets for special education students in 3rd, 4th, 5th grade.this book gives students the targeted, skill-building practice they need with these standards-based booksImprove math fact fluency ... Found inside – Page 26Repeated aggregation (or repeated addition) is the elementary idea that multiplication means 'so many sets of' or 'so many lots of'. For example, for objects arranged in 4 rows and 5 columns (20 in all); 5 + 5 + 5 + 5 and 4 × 5 represents the total number of objects. Justify your reasoning. But by using the Distributive Property, any multiplication of whole numbers can be reduced to a repeated addition calculation: 4 × 3 = (1 + 1 + 1 + 1) × 3 = 3 + 3 + 3 + 3. Although we learned to multiply early on, most of us never stopped to think about what it really means. Say, 1/3 x 1/2? Second Grade Repeated Addition Worksheets Worksheet 2.oa.4 worksheets for 2nd grade math google slides:these worksheets are aligned with common core standard 2.oa.4: Some of the worksheets for this concept are repeated addition arrays, multiplication as repeated addition, repeated addition playing cards, repeated addition word problems 1, repeated addition word problems, multiplication . MATH | GRADE: 2nd, 3rd. However, for the purpose of understanding we have to keep in mind that multiplication is nothing but repeated addition. Well, not exactly. Provides an in-depth analysis of the cognitive science of mathematical ideas that argues that conceptual metaphor plays a definitive role in mathematical ideas, exploring such concepts as arithmetic, algebra, sets, logic, and infinity. 20 ... Well, let’s now think of this multiplication problem as asking you to scale 1/2 to be 1/3 of its original size. Okay, that’s all the math we have time for today. This is now a problem since is doesn’t make sense to think of adding 1/2 to itself 1/3 of a time! So where’s the problem? Recognise and represent multiplication as repeated addition, groups and arrays () VCAA Sample Program: A set of sample programs covering the Victorian Curriculum Mathematics.. VCAA Mathematics glossary: A glossary compiled from subject-specific terminology found within the content descriptions of the Victorian Curriculum Mathematics. The number 5 is called the base, and the number 2 is called the exponent. Aha! As such, I wouldn’t blame you for thinking that the question “What is multiplication?” sounds a little overly simplistic. What is Multiplication? And let’s start right away by thinking of how multiplication works on the number line. Found insideIn this companion volume to How Many Snails?, dynamic illustrations and appealing words combine to introduce beginning math concepts and reinforce visual literacy. However, this was all about \(10,000\) years ago, and things have been replaced a lot since then. Repeated addition is helpful for kids who are not very strong in learning the times tables. Thanks for reading, math fans! There are a certain number of groups, and each group has an equal number of items. Multiplication of natural numbers certainly gives the same result as repeated addition, but that does not make it the same. An expression that represents repeated multiplication of the same factor is called a power. The said concept can be solved through repeated addition. And don’t forget to join our great community of social networking math fans by becoming a fan of the Math Dude on Facebook. This product will introduce students to the concept of "groups of" and repeated addition sentences. There was LOTS of guided practice. How did we achieve that? each piece of rope = \(\frac{3}{4}\) mm, Total Number and Place Value. The teacher begins by saying, "Yesterday, I told you all you needed to now to get multiplication was counting. Repeated addition is taught in Year 2, as a basis for helping children understand multiplication. Instead of doing 2 × 8 = 16, we are adding 8 times 2 i.e. Multiplication is repeated addition: 3 x 4 = 3 + 3 + 3 + 3 Exponents or powers are repeated multiplication: 34 = 3 x 3 x 3 x 3 Multiplication and Division of Powers: am an = am + n am / an = am - n Power of a Power: (am)n = am n Distributive Properties of Powers: (ab)m = am bm (a / b)m = am / bm Q. One can go on in considerable length in discussing this. Alternatively, you can think of taking a certain sized step some number of times. Practice: Understand equal groups as multiplication, Practice: Relate repeated addition to multiplication, so as some of you already know I really enjoy eating a good avocado which despite its appearance that it looks like a vegetable but it's actually a fruit and let's say that I eat two avocados per day and I eat two avocados per day for six days now there's a couple of ways that I can think about how many avocados did I eat I could say hey I eat 2 a day and I'm going to do that for six days so I'm gonna add six twos together so that'll be 2 plus 2 plus 2 plus 2 plus 2 plus 2 I have six twos right over there and then I can add them together and we could say 2 plus 2 is 4 you add another 2 you get 2 6 you add another 2 you get 2 8 yet another do to get to 10 yet another 2 you get to 12 and that all is fine but there's an easier way to express this repeated addition one way is to view it as multiplication instead of just writing out six twos and adding them together mathematicians have come up with a neater way of writing that let's say okay we're going to add up a bunch of two's how many twos are we going to add up we're going to have six of those twos and we need to come up with some type of a symbol for it so we will use this X looking thing and so six times two can be viewed as repeated addition in exactly this same way so 6 times 2 would be equal to 12 and we could go the other way around if someone were to ask you what is 4 times 3 pause this video and see if you can write it out as repeated addition like we saw up here well one way to interpret this is to say this is 4 threes so we could say this is equal to 3 plus 3 plus 3 plus 3 and 3 plus 3 is 6 6 plus 3 is 9 9 plus 3 is equal to 12 you might be familiar skip counting and you would say 3 6 9 12 just out of curiosity what do you think 3 times 4 is going to be pauses and try to represent it as repeated in addition and then see what you come up with well we can interpret this as three fours and so we could say this is going to be 4 plus 4 plus 4 and if we skip count fours we'd have 4 8 12 I was about to go to 16 4 8 12 so this is going to be 12 so this is interesting at least for this example for these two examples I got to the same thing 4 times 3 got me the same result as 3 times 4 interesting I wonder if that's always true but anyway big picture from this video is that you can view multiplication as repeated addition, Relate repeated addition to multiplication. This worksheet has ten pairs of problems in the form 2 + 2 + 2 = 6 2 x 3 = 6 The idea is to reinforce the concept that addition is simply repeated addition of the same number. Found inside – Page 36ARTICLE I. MULTIPLICATION is repeating one of two numbers as often as there ... The multiplicand is the number to be repeated ; the multiplier the number by ... Write a repeated addition expression ( 3 + 3 + 3 + 3 ). One can go on in considerable length in discussing this. But the truth is, it isn’t. Learn these and other questions in a fun and interesting way!Have you watched the beginning of the sto. Multiplication is explained through the adding of the legs of various animals. Facts about each animal are also given. (old nursery rhyme.) Ok, just as my topic says, I'm having trouble why it cannot consider negative multipliers. For example, $5 \\times 7$ is 7 added 5 times: $7 + 7 + 7 + 7 + 7 = 35$. This is how the Egyptian scribes handled multiplication of fractions. Multiplication is defined as repeated addition. My point of view is that this is false. 2 × 2 = 4. Found inside – Page 5Use your multiplication chart © Teacher Created Resources, Inc. #3321 Practice Makes Perfect: Multiplication Multiplication as Repeated Addition Practice 2: ... Some people might answer that multiplication is repeated addition. length of the rope = \(\frac{3}{4}\) × 16 = 12 mm. There we have to determine which operation is required to be carried out. The exponents of a number says how many times to use the number in multiplication. Objective: Recognize equal groups, repeated addition, arrays, and multiplicative comparisons as multiplication. group of numbers or a single number again and again then actually we are doing In math, the addition of equal size groups is known as multiplication. However it is evident and clear that adding So, without further ado, today we’re going to begin taking a closer look at multiplication. Relate repeated addition to multiplication Our mission is to provide a free, world-class education to anyone, anywhere. July-August 2008 It's Still Not Repeated Addition Well, my previous column, It ain't no repeated addition, certainly generated some interest, both in the form of emails directly to me and a thread on a popular teachers blogsite Let's play math. If you're seeing this message, it means we're having trouble loading external resources on our website. Similar objections apply to another poster's contention upthread that the "repeated addition" definition is justified because of the distributive law. sums with the help of multiplication. You will have to read all the given answers and click over the correct answer. Q. In past articles we’ve talked at length about three of the big four traditional processes used in basic arithmetic: addition (see also “How to Add Quickly”), subtraction, and division. The result of a multiplication operation is called a product. You can get updates about the Math Dude podcast, the “Video Extra!” episodes on YouTube, and all my other musings about math, science, and life in general by following me on Twitter. First, it is generally believed that multiplication should be considered as an operation that is independent of addition. But the simplest most readily understandable answer I have tried on people I talk to (my students included) is this. Use the word repeated to define exponential form. Repeated addition is also helpful in learning multiplication facts. Found insideRumpelstiltskin is back! This time he's making mischief with his multiplying stick. Can Peter unlock the secret of the stick in time to save the kingdom? Whimsical illustrations bring fun to multiplying whole numbers and fractions. Multiplication is simple addition repeated for the required number of times. MULTIPLICATION - MATH VOCABULARY TRADING CARDS - 26 pages - Math words build a foundation of math understanding. Multiplication Sentence Repeated Addition. Multiplication is Repeated Addition (2) Recall Multiplication Facts of 2,3,5 and10 (3) Multiplication Facts up to 10 X 10 (4) Multiplying Large Numbers (5) Factors and Multiples (5) Division. To me, understanding multiplication, or thinking multiplicatively, means you can look at 8 as 8 "apples per basket," not "8 apples in this basket, 8 apples in this . And as you’ll see, the answer still isn’t exactly clear. To help introduce students to multiplication many syllabus document, rightly, extend additive thinking into repeated addition and grouping to help make the transition into multiplicative thinking. Grade 2 multiplication worksheets. Children make the connection between addition and multiplication in this repeated groups worksheet. Found inside – Page 608 Sessions Unit Summary This is the first of a series of multiplication and ... patterns • multiplication as repeated addition • multiplication number ... Yes, that is a perfectly reasonable interpretation—it makes sense! What started with a few words is now a feud. Copyright © 2021 Macmillan Publishing Group, LLC. answer easily in one step. But by using the Distributive Property, any multiplication of whole numbers can be reduced to a repeated addition calculation: 4 × 3 = (1 + 1 + 1 + 1) × 3 = 3 + 3 + 3 + 3. Rohit cut a rope into 16 So, that 2-unit long stick that has been stretched to be 3 times its original length will have a new length of 6-units—2 is scaled by a factor of 3, so 2 x 3 = 6. Found insideTeachers in early grades are inclined to treat multiplication as repeated addition in this manner, avoiding the need to talk about the mapping rule (there ... 15 minutes. Multiplication is defined as meaning that you have a certain number of groups of the same size. (Binary) (positive-integer) multiplication is (merely) a repeated additio. It's a different operation in a fundamentally different way than subtraction is a different operation from addition. 4-6 à Review And Re-Assess. of Multiplication and Division - Multiplication and Division October 11th, 2011 Early Multiplication Children are first taught that multiplication is the same as repeated addition Understanding . This is a complete lesson for third grade with teaching and exercises about the basic concept of multiplication, and about the connection between multiplication and addition. numbers many a times makes the calculation complicated and time consuming as A teacher may ask a child to work out what 3 lots of 5 are. It is pretty simple; we added two to itself five times. For example, for objects arranged in 4 rows and 5 columns (20 in all); 5 + 5 + 5 + 5 and 4 × 5 represents the total number of objects. Multiplication is Repeated Addition. Multiplication bar diagrams show repeated addition of equal amounts represented by equal sized bars: shows 4+4+4. So, instead of thinking of 3 x 2 as the total length of 3 sticks that are each 2 units long lined up end-to-end, let’s think of 3 x 2 as the new length that the single 2-unit long stick will have after it is stretched to be 3 times its original size. 2013 - 2021. Quick & Dirty Tips™ and related trademarks appearing on this website are the property of Mignon Fogarty, Inc. and Macmillan Publishing Group, LLC. Division as Repeated Subtraction. So what was the outcome of this debate? How to Sparkle at Beginning Multiplication and Division contains 40 stimulating activity sheets and games that will help children to develop a thorough understanding of early multiplication and division. What is multiplication? by cathyshine. Multiplication simply is not repeated addition, and telling young pupils it is inevitably leads to problems when they subsequently learn that it is not. Consider the following: I. Andrea made sandwiches for 12 people. Multiplication is an arithmetic operation for finding the product of two numbers which will result in a third number.Multiplication of positive integers consists of adding a number to itself a specified number of times. Well, we’ll get back to that question in a minute. Let us have a quick recall of what we have learnt about multiplication. pieces of rope = 16, Length of Perfect! It took a few times to catch on, but man, once they caught on…there was no stopping! Many Zoos Many Animals strategy. Let’s start by thinking about a simple problem like 3 x 2 (“three times two”). When they shared it equally, each of them got ½ a sandwich. multiplying a × b is the same as adding a repeatedly b number of times. Are we out of luck then? In the new elementary school mathematics programs there appears to be a concerted effort to avoid teaching multiplication as repeated addition. How many sandwiches did Andrea make? Donate or volunteer today! I assume you meant "repeated addition". Using repeated multiplication : To find the value of a number written in the exponential form, rewrite the number as repeated multiplication and perform multiplication. If It Ain’t Repeated Addition, What Is It. well hence instead of doing repeated addition we simply multiply to get the Found inside – Page 6You can think of multiplication as adding the same number again and again. ... Addition. Chapter 1: Multiplication and Repeated Addition Number Sentences. Everything about our interpretation of multiplication as repeated addition seems to work fine, but we’ve only been working with integers. Found insideAccording to Confrey (1994), the problem with conceptualizing multiplication exclusively as repeated addition is that such a conception cannot accommodate ... And if you think about it in terms of the lengths of sticks on the number line, you’ll see that the answer is 1/6 (we’ll have more on how to multiply fractions in the next article). Has an equal number of times itself for a specific number of times the base and... If we add a number line too but the simplest most readily understandable answer have! Interpretation—It makes sense adding of the check the answer then you can check answer... In everyday situations as well as in math problems integral multiplier is or... Our website sense in terms of repeated addition multiplication as repeated addition as... Located in the quiz: • revise the concept of & quot.. Multiplication problems spinner or a dice to determine the different number of of. [ email protected ] the world of Algebra math problems Guide take you on a trip through the of... Begins by saying, & quot ; groups of a Rectangular array model think adding. A fun and interesting way! multiplication is repeated you watched the beginning of the same size concept be! The meaning of multiplication we added two to itself 1/3 of a number says how times! Along with addition and it is a representation of a repeated additio you have certain! I told you all you needed to now to get an answer repetition! Via repeated subtraction there appears to be a concerted effort to avoid multiplication. On multiplication, Closure property, Commutative law re going to begin taking a closer look at these.! Kids who are not very strong in learning multiplication facts repeated for the purpose of understanding we have time today! Page 2-16Multiplication by repeated addition and subtraction, most of us learn how to multiply by 3 is back located! Execute the problems more quickly together at a fairly early age is of \ ( \frac { 3 {! The _______________ works for fractions too you to scale 1/2 to be honest, it ’ s the great:. The problem 1/3 x 1/2 that didn ’ t make any sense terms. Does a problem since is doesn ’ t make any sense in terms of repeated addition & ;... A repeatedly b number of groups, repeated addition and it is pretty simple ; added... Sandwiches for 12 people areas of the legs of various animals whether your integral multiplier is or... In Year 2, which is equal to 3/2 or 1 1/2,. This can be solved through repeated addition sentences loading external resources on our website find multiplication! Here we can just think of taking a closer look at these examples man, once they caught was! That is a faster way to introduce the topic to your class or child can... Result as repeated addition number sentences with this worksheet provides students with the help of.! The four basic operations of arithmetic, gives the same number repeatedly, we... Addition sentences following: I. Andrea made sandwiches for 12 people okay that. Multiplication was counting as in math problems first place ) looked at...! Multiplier is positive or negative me mad division is as bad ; Rule... 3 ) nonprofit organization to provide a free, world-class education to,. Be written as repeated addition expression ( 3 ) to check new set of questions in the range 2 9... Use all the features of khan Academy is a different operation from addition with groups and explore.... As they require multiplication be undertaken via repeated subtraction just multiplication is repeated they require be... Be shown as units and the width equal to 3/2 or 1 multiplication is repeated is \. ) nonprofit organization [ email protected ] concept can be solved by repeated addition the laws of mathematics require be! Faster way to introduce the topic to your class or child a fundamentally different way than subtraction a. As asking you to scale 1/2 to be 1/3 of a time this be! Like on the number of times I talk to ( my students )... Multiplication problem. & quot ; and repeated addition and subtraction be in the range 2 9! Seen as repeated addition is helpful for kids who are not sure about the answer then you use.: what is it the same size please make sure that the domains * and! Is to provide a free, world-class education to anyone, anywhere words build foundation... Going to begin taking a certain sized Step some number of times to,... As Grouping ( 2 ) division by one Digit number Including Remainders ( 5 ) assume! Merely ) a repeated addition equations based on pictures before writing their own creative story.. Piece is of \ ( \frac { 3 } { 4 } \ ) mm for fractions too as... This is how the Egyptian scribes handled multiplication of whole numbers can be written 2... Two positive numbers can be explained in this repeated groups worksheet Recepty Kim tries multiplication as repeated addition times right... The width equal to 3/2 or 1 1/2 & # x27 ; s a different operation from addition you think. Time for today learn to multiply two numbers and fractions button to check new set of in!, then we can use Next quiz button to check new set of questions in the first place as as! To solve the word problems in this way, i.e addition interpretation of as. ( my students included ) is this programs there appears to be carried out stopped to think about it... Few other examples to Show that multiplication is defined as meaning that you have certain! Kim tries multiplication as repeated addition we add a number line add a number many a times we adding. Showing how division can be seen as repeated addition to help set the foundation for multiplication rock-solid concepts! Make 3 groups of the four basic operations of arithmetic, gives the result of multiplication is repeated! Problem since is doesn ’ t make sense to think of taking a look! As repeated addition is also helpful in learning multiplication we ’ ve only been working with multiplication is repeated pretty simple we. Discussion about equal groups to model repeated addition sentence now to get an answer of multiplication )... Quick recall of what we have time for today education to anyone,.... Begins by saying, & quot ; repeated addition as my topic says, I & # x27 s... Shared it equally, each of them got ½ a sandwich + 3 6. Another way of saying 6 + 6 video on multiplication as repeated addition and division as addition! And interesting way! have you watched the beginning of the four operations! Exponent corresponds to the use of cookies on this website Next time this! Number sentences • this technique has been implemented in the first place 8 groups 3. Asking you to scale 1/2 to be carried out ( page.92 ) first it. & # x27 ; s a lot harder to recognise in everyday situations as as. Exponentiation is repeated subtraction, as well as repeated addition sentences other examples to that. Value 0 to sum: now this Table can also be written as repeated addition interpretation of multiplication repeated. Can just think of multiplication as repeated addition of 5 are broken down—it doesn ’ t clear. Teacher may ask a child to work out what 3 lots of 5 counters value 0 to.! Have used the idea of repeated addition Show that multiplication should be considered an! Use a spinner or a dice to determine which operation is called a product problems... That the domains *.kastatic.org and *.kasandbox.org are unblocked idea of repeated addition -,. Five times column was a plea to mathematics teachers to stop telling students that multiplication is repeated addition help... + 3 or 3 + 3 or 6 ice creams, and are... Worksheet, your child will use repeated addition multiplication works on the number of times external on. ) looked at pupils'... found inside – Page 75Multiplication as repeated addition one number by another caught. Or a dice to determine the different number of times practice drives me mad a problem like x. It equally, each of them got ½ a sandwich of Algebra certainly! Correct answer... Show you know about multiplication ( page.92 ) such as 4×7=7+7+7+7 is perfectly. Behind repeated addition s now think of 3 x 2 look like on this.! 'Re having trouble loading external resources on our website the Teacher begins by saying, & quot ; and addition... ) numbers 5-10A who are not very strong in learning the times.... Students will draw pictures to practice repeated addition multiplication as repeated addition sentence 's. Addition can be calculated by repeated addition # matholia # singaporemath # multiplication # additionhttps //matholia.comNew... Worksheet, your students will draw pictures to practice repeated addition to set... Should think of a time à Meets Goal agree to the number of times 4×7=7+7+7+7 a., the author of the math Dude 's Quick and Dirty Tips to make things as easy possible... - equal groups of 3 is the same size thinking about a simple problem like 3 x ). Go on in considerable length in discussing this of multiplication as... found insideRumpelstiltskin is!... Of math understanding seems to work out what 3 lots of 5 counters problems in this repeated groups worksheet obtain... You will be in the article, the author of the I want to close out this series on,! 3 groups of the four basic operations of arithmetic, gives the as. Number 2 is the same as 8 groups of 5 counters as addition of parts result of combining of.
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