# standard division algorithm calculatorstandard division algorithm calculator

Each piece of the equation fits together to create a complete picture. Please select and "Clear" any data records you no longer need. Do they understand whats happening at each step? This is the result the long division calculator stopped at. Q.4. If no data record is selected, or you have no entries stored for this calculator, the line will display "None". Fear not! The first step in solving the problem is to get rid of the decimal point in the divisor 3.33. Long division, also known as the standard algorithm for division, is a method for dividing one large multi-digit number into another large multi-digit number. With the Division Calculator you can carry out exact divisions or divisions with a remainder. Standard algorithm division calculator Put the 5 on top of the division bar, to the right of the 1. Next, continue to add zeros to the dividend as needed until you either solve the division, or you reach the desired number of decimal places. So our final answer is 12,032 divided by 24 is 543. What is the division algorithm for lower classes (class \(5?\)Ans: Division algorithm for class \(5\) is, \({\rm{ Dividend }} = {\rm{ Divisor }} \times {\rm{ Quotient }} \times {\rm{ Remainder}}{\rm{. Rutgers University Department of Mathematics: Understanding the standard algorithm for multiplication CCSS.Math: 5.NBT.B.5 Google Classroom About Transcript The standard algorithm for multiplying whole numbers involves breaking the numbers down into their place values and multiplying each place value separately. Calculator Algorithms JAMES C. KROPA Clayton Junior College Morrow, GA 30260 Increased emphasis on numerical calculations in elementary mathematics courses coupled with the . Take a sneak peek at the Ad-Free Design being enjoyed by hundreds of members for less than 25 a week. The standard algorithm represents an efficient and universally applicable method of adding and subtracting numbers; however, it is vital that students understand the properties and place value We use essential and non-essential cookies to improve the experience on our website. Then move the next dividend digit (0 in column #11) down to that line to form the new subtrahend of 90. Get Homework Help Now Long Division Calculator . Then move the next dividend digit (0 in column #10) down to that line to form the new subtrahend of 2340. Hence the summation notation simply means to perform the operation of (xi - )2 on each value through N, which in this case is 5 since there are 5 values in this data set. Of course, ultimately, if you dont feel confident with this long division method, it will never translate effectively to the children; as with anything in teaching, it must work for you and your class. Here are two long division examples laid out for you: Do loads of long division questions! It is mandatory to procure user consent prior to running these cookies on your website. The lower the standard deviation, the closer the data points tend to be to the mean (or expected value), . Conversely, a higher standard deviation indicates a wider range of values. This is the result you would likely get if you used a standard calculator for the division. Some of our partners may process your data as a part of their legitimate business interest without asking for consent. Please read our, Why you should teach the formal long division method (standard algorithm) at elementary school, How to teach the formal long division method, Long division step by step using an exemplar question, How you can get your class to check their own work, The Best Way To Teach The Long Multiplication Method, Recap and explain the partial quotients method. We and our partners use data for Personalised ads and content, ad and content measurement, audience insights and product development. The formal declaration of this result is as follows:Euclids Division Lemma: Given positive integers \(a\) and \(b,\) there exist unique integers \(q\) and \(r\) satisfying \(a = bq + r,\,0 \le r < b.\), To get used to what Euclids division lemma is, consider the following pair of integers: \(17,\,6\)Now, \(17 = 6 \times 2 + 5\) (\(6\) gets into \(17\) two times and gives a remainder \(5\))\(5 = 12 \times 0 + 5\) (This relationship holds because \(12\) is bigger than \(5\))\(20 = 4 \times 5 + 0\) (Here \(4\) gets into \(20\) five-times and leaves no remainder). I know it looks something like a standard division algorithm, but I can't remember where to go from there to get the remainder. The division algorithm computes the quotient as well as the remainder. If it's not filled in, please enter the web address of the calculator as displayed in the location field at the top of the browser window (www.free-online-calculator-use.com/____.html). This needs to be included in our next step. In this case, 543 x 24 = 13,032, so we know that we are correct. Unbiased estimation of standard deviation, however, is highly involved and varies depending on the distribution. Step 2: A remainder in the ones. If it's not filled in, please enter the title of the calculator as listed at the top of the page. Please note that all fields preceded by a red asterisk must be filled in. Step 2: Then divide it by the divisor and write the answer on top as the Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies. = [(1 - 4.6)2 + (3 - 4.6)2 + + (8 - 4.6)2)]/5
However, . So if you are on a desktop, you may find the calculator to be more user-friendly and less cluttered without them. Step 2 Count the number of digits to the right of the decimal point in each factor, and add those numbers together. In this case, the quotient is 014 or 14, and the remainder is 2. First you divide, then you multiply, then you subtract, and then you bring the next digit down. Warning: multiplication tables/grids will be required! The standard algorithm comprises 'Standard' and 'Algorithm'. So, we put that 4 right above the 8: Multiplication: Multiply the 4 and the 2 and put the answer right under the 8: Subtraction: That's 8 - 8 = 0 In this article, we will discuss in detail about Division Algorithm: Euclids Division Lemma, Fundamental Theorem, etc. Long Division with Decimals Calculator. 167 - 160 = 7 Since 7 is less Long Division Calculator Free Long Division calculator - Apply long division step-by-step. Male gametes are created in the anthers of Types of Autotrophic Nutrition: Students who want to know the kinds of Autotrophic Nutrition must first examine the definition of nutrition to comprehend autotrophic nutrition. 286.75 (10) = 100011110.11 (2) 2) The binary number is not normalized . . You have your answer: The quotient is 15 and the remainder is 7. https://www.calculatorsoup.com/calculators/math/longdivision.php. Write down the remainder you obtain. This may be a new approach for you but the first time I did this, it was one of those lessons which on the face of it looked intensely boring, but my 5th Grade children got so carried away with their partitioning for long division that they even asked to stay into their lunchtime to finish the questions!This just proves that engagement in lessons isnt created from bells and whistles, but listing multiples in preparation for long division you heard it here first! - What happened to the decimal representation of the fraction when you got a remainder that you had before? If you believe that your own copyrighted content is on our Site without your permission, please follow the. The Euclidean Algorithm. Given two whole numbers where a is greater than b, do the division a b = c with remainder R. Replace a with b, replace b with R and repeat the division. Division Algorithm, as the name suggests, has to do with the divisibility of integers. Euclid's division algorithm is a methodology to calculate the Highest Common Factor \ (\left ( {HCF} \right)\) of two specified positive integers. It is somewhat easier than solving a division problem by finding a quotient answer with a decimal. 5 * 32 = 160 Draw a line and subtract 160 from 167. Grade 6 students fluently apply the standard division algorithm for multi-digit numbers (6.NS.B.2) and perform all operations with multi-digit decimals (6.NS.B.3). Rather than having to analyze and parse through these problems, we are . to find the decimal representations of 74 and 81. The partial quotients method for long division with two-digit numbers is set out in the first two columns below; it encourages children to think about the relationship between multiplication and division by estimating first how many times the divisor is likely to go into the dividend. The algorithm is a series of well-defined steps which gives a procedure for solving a type of problem.Euclids division algorithm is a methodology to calculate the Highest Common Factor \(\left( {HCF} \right)\) of two specified positive integers. For example, 2 goes into 8 4 times, so 8 divided by 4 equals 2. I could sure use some help with this math problem! Divide 2 numbers and find the quotient. Division, then multiplication, then subtraction.Let's call it the DMS loop!Hey, those letters go alphabetically!! 2006 - 2023 CalculatorSoup (as in the maybe more familiar 1 / 6 or 1 / 7, for example). The standard algorithm for multiplying decimal numbers can be described this way: Step 1 Compute the product as if the two factors were whole numbers. Long Division Calculator - Symbolab Geometry Long Division Calculator Apply long division step-by-step full pad Examples Related Symbolab blog posts My Notebook, This calculator will divide one number (dividend) by another number (divisor) using the long division method, and show and explain each step. The activities are designed to be fun, flexible and suitable for a range of abilities. Q.1. Divide the first number of the dividend, 4 by the divisor, 32. In cases where every member of a population can be sampled, the following equation can be used to find the standard deviation of the entire population: For those unfamiliar with summation notation, the equation above may seem daunting, but when addressed through its individual components, this summation is not particularly complicated. But they contain an index with a key ID. Since the greatest multiple of 333 that divides into 2340 without going over is 7 (7 x 333 = 2331), you enter 7 in the 7th quotient position and 2331 in the subtraction row.Since 2340 minus 2331 leaves a remainder of 9 you enter 9 on the next line. Generally, a division problem has three main parts: the dividend, divisor, and quotient. It appears the calculator ran out of room before it could complete the long division. In this blog, Sophie Bee (@_MissieBee) explains the long division method her class now follows, how to teach long division with ease this way and even better, how to ensure your students start to love their new long division technique. We begin this section with a statement of the Division Algorithm, which you saw at the end of the Prelab section of this chapter: Theorem 1.2 (Division Algorithm) Let a be an integer and b be a positive integer. Division standard algorithm calculator 22 divided by 15 = 1.466666 calculating 6 decimal places 22 divided by 15 = 1.466 calculating to 3 decimal places Note that this is not the same as rounding to a specific The polynomial division calculator allows you to take a simple or complex expression and find the quotient and remainder instantly. Q.2. That new number is 900.Since the greatest multiple of 333 that divides into 900 without going over is 2 (2 x 333 = 666), you enter 2 in the 9th quotient position and 666 in the subtraction row.Since 900 minus 666 leaves a remainder of 234 you enter 234 on the next line. Full details here! There are two ways to divide numbers when the result won't be even. Note that you are looking to multiply decimals, integers, or whole numbers, check out the Long Multiplication Calculator. Moving the decimal point 1 place to the right in the divisor changes it to 55. Since 1,341 52 = 25 remainder 41, the answer would be 26 buses. We provide quick and easy solutions to all your homework problems. First we show the partial quotients method and then the long division method. Calculate 4215 6 and 62, 635 32 in two ways: with the common method for implementing the standard division algorithm and with the scaffold method. To find the GCF of more than two values see our The standard Euclidean algorithm gives the greatest common divisor and nothing else. Since 333 is greater than 9 you enter a zero in the 1st quotient position and then combine the digit 9 with the digit from the next position in the dividend (9 in column #2) in an attempt to form a number that is greater than or equal to the 333. Obviously, as they gain confidence in the method, they only need to list as many as necessary. While this may prompt the belief that the temperatures of these two cities are virtually the same, the reality could be masked if only the mean is addressed and the standard deviation ignored. "pseudo-division", "pseudo-rotation", and "cross-addition" and with special computer oriented concepts. 7: Subtract: 103 96 = 7, so this is the remainder to the second division (103 24). The division algorithm enables both people and computers to solve division problems with a systematic set of logical steps, which this video shows. Hey, we just finished the first chunk of steps! Why is it important to know multiples of the divisor? address this standard in a single day, lesson, or unit. Instead of thinking of a problem like 1684 divided by 6 in terms of dividing . What is the meaning of algorithms?Ans: An algorithm is a sequence of well-defined steps that solve a type of problem. In the workshop, the number of attendees in Science, Social and Mathematics are \(60,\,84\) and \(108,\) respectively. Numerous students making this latter mistake might indicate that they need to review the fundamentals of place value. 4: Bring the next digit of the dividend down: bringing the 3 down makes my new number 103. Dividing decimal numbers with decimal remainder. (only digits 0-9 and decimal points are allowed). As such, the "corrected sample standard deviation" is the most commonly used estimator for population standard deviation, and is generally referred to as simply the "sample standard deviation." Instead, knowing that 8 ÷ 4 = 2, this can be used to determine that 9 ÷ 4 = 2 R1. In addition to expressing population variability, the standard deviation is also often used to measure statistical results such as the margin of error. Long Division Calculator with Decimals. 2023 Third Space Learning. So, now youve taught it, but of course, you wont yet be confident theyve learned it, so the final stage in consolidating long division is practicing it. Divide and Conquer Algorithm: This algorithm breaks a problem into sub-problems, solves a single sub-problem and merges the solutions together to get the final solution. See the work and learn how to find the GCF using the Euclidean Algorithm. First, you need to think of the number of times the divisor 3 can be divided into 12, which is 4. The United States uses a standard algorithm based on place value and the properties of operations for addition, subtraction, multiplication, and division. In this example, students are asked how many pieces remain after completing the division, so the answer to this word problem is 3, which is the remainder. The answer is 1. It can be calculated by hand with several steps (long division) or directly using a calculator. Fourth graders are expected to find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors. For example, you could ask: Once children are confident with the partial quotients method, they can move onto long division. You can accept or reject cookies on our website by clicking one of the buttons below. Division can be thought of as the number of times a given number goes into another number. Subtract \(b\) from \(a\) repeatedly, i.e. Fifth graders are expected to find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors. It finds the awnser even when it's wired wording, and I can find your math book and the pages so you don't have to scan it every time. Long Division with Remainders. Then, when the children are ready, they can work independently. Since the greatest multiple of 5 that divides into 23 without going over is 4 (4 x 5 = 20), you enter 4 in the 3rd answer position and 20 in the subtraction row.Since 23 minus 20 leaves a remainder of 3 you enter 3 on the next line. Note that my expertise is in creating online calculators, not necessarily in all of the subject areas they cover. Therefore be sure to check the results by multiplying the quotient by the divisor to make sure that product equals the dividend. These are only a few examples of how one might use standard deviation, but many more exist. Division is one of the basic arithmetic operations, the others being multiplication (the inverse of division), addition, and subtraction. Thus, the next step is to divide 35 by 4. Bring down the 6 in 126 and repeat the process. The organism uses the food it Place Value of Numbers: Students must understand the concept of the place value of numbers to score high in the exam. to find the decimal representations of 74 and 81. Ready to go, printable packs that teachers can use in the classroom. In many cases, it is not possible to sample every member within a population, requiring that the above equation be modified so that the standard deviation can be measured through a random sample of the population being studied. Q.5. This is usually when you get the What?, Miss, I dont get it, or, Thats impossible comments; it doesnt take much to change their minds! If you want. Standard algorithms for addition and subtraction are based on decomposing numbers written in base -ten notation. So, let us find the \(HCF\) of \(850\) and \(680\) by Euclids division algorithm.We have, \(850 = 680 \times 1 + 170\)\(680 = 170 \times 4 + 0\)So, the \(HCF\) of \(850\) and \(680\) is \(170.\)Hence, the capacity of the container must be \(170.\), Q.3. For example, here \(2 \times 3 \times 5 \times 7\) as identical to the \(3 \times 5 \times 7 \times 2\) or any other conceivable order in which these primes are being written.This fact is also stated in the following form: The prime factorisation of a natural number is unique, except for the order of its factors. We claim that the \(HCF\) of \(455\) and \(42\) is the divisor at this stage, i.e., \(7.\) You can easily verify this by listing all the factors of \(455\) and \(42.\). Standard deviation is a useful measure of spread for normal distributions. This calculator will divide one number (dividend) by another number (divisor) using the long division method, and show and explain each step. 5. Learn how to solve long division with remainders, or practice your own long division problems and use. for the data set 1, 3, 4, 7, 8, i=1 would be 1, i=2 would be 3, and so on. Cite this content, page or calculator as: Furey, Edward "Euclid's Algorithm Calculator" at https://www.calculatorsoup.com/calculators/math/gcf-euclids-algorithm.php from CalculatorSoup, The result is "8", so add "8" to the quotient. Step 3: A remainder in the tens. Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Find the least number of rooms necessary when in each room the exact same number of attendees are to be seated and all of them being in the same subject.Ans: The number of attendees in each room must be \(HCF\) of \(60,\,84\) and \(108.\)To find the \(HCF\) of \(60,\,84\) and \(108,\) we first find the \(HCF\) of \(60\) and \(84\) by Euclids division algorithm:That is, \(84 = 60 \times 1 + 24\)\(60 = 24 \times 2 + 12\)\(24 = 12 \times 2 + 0\)So, the \(HCF\) of \(60\) and \(84\) is \(12.\) Now, we find the \(HCF\) of \(12\) and \(108.\)Clearly, the \(HCF\) of \(12\) and \(108\) is \(12.\)Hence, the \(HCF\) of \(60,\,84\) and \(108\) is \(12.\) Therefore, in each room maximum \(12\) attendees can be seated. Standard deviation () and Variance ( 2) of the population are given as: = Standard Deviation of the Population The i=1 in the summation indicates the starting index, i.e. Webx Standard algorithm. They should have a solid understanding of these steps as, apart from the last one, they are the same as the partial quotients method: Divide: how many times does the divisor fit into the number without remainder? Iy has helped me so much in understanding my work, i highly recommend it, best way to get math answers. We will use the same for finding the \(HCF\) of positive integers. We and our partners use cookies to Store and/or access information on a device. Then move the next dividend digit (0 in column #4) down to that line to form the new subtrahend of 00. Multiply 5 by 32 and write the answer under 167. First, the lesson explains (step-by-step) how to multiply a two-digit number by a single-digit number, then has exercises on that. I encourage the children to write the four symbols down on their page to remind themselves of the steps. Add a "3" below the subtraction line. Hello students! With the Division Calculator you can carry out exact divisions or divisions with a remainder. Thank you! This is where I bring in the good old me, we, you process.First, I show them a completed modeled example: Then, I complete the division myself (next to the modeled long division example) to show them how I achieved it, always talking through each step as I go. This process is repeated until you have reached a solution. Multiply 5 by 32 and write the answer under 167. I promise not to share your email address with anyone, and will only use it to send the monthly update. However, knowing that this is often a topic hotly debated on Edu-Twitter and Edu-Facebook, I hope Ive converted some people to the long-division-loving side! [FREE] Fun Math Games and Activities Packs for Kindergarten to Grade 5. This is effectively bitwise XOR-ing and the . https://www.calculatorsoup.com - Online Calculators. The step by step work reveals how to do long division between different combination of dividend and divisor. 167 - 160 = 7 Since 7 is less In my classroom, this works as a peeling away process, which often looks like this: input to the whole class for 5 minutes 2 or 3 children set off to work independently; input to the rest of the class for a further 5 minutes another few children set off to work independently; input to the rest of the class for a further 5 minutes another group of children set off to work independently. 5 * 32 = 160 Draw a line and subtract 160 from 167. The equation provided below is the "corrected sample standard deviation." In this case, the next number formed is 10, which 7 can be divided into once, so write a 1 above the 2. Since all dividend digits have been moved down, and the remainder is zero, the problem is solved. 5. Thus a standard algorithm in mathematics is the stepwise method of completing . Since 5 is greater than 1 you enter a zero in the 1st answer position and then combine the digit 1 with the digit from the next position in the dividend (2 in column #2) in order to form a number that is greater than or equal to the 5. Next, multiply 1 by 32 and write the answer under 48. Instead, you can teach it in several "steps": Step 1: Division is even in all the digits. }}\)The remainder must always be lesser than the divisor. In general, given a composite number \(x,\) we factorise it as \(x = {p_1} \times {p_2} \times \ldots \ldots {p_n},\) where \({p_1},\,{p_2}, \ldots ,{p_n}\) are primes and arranged in ascending order, i.e., \({p_1} \le {p_2} \le \ldots \le {p_n}.\) If we merge the same primes, we will get the exponents of primes.For example, \(32760 = 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 7 \times 13 = {2^3} \times {3^2} \times 5 \times 7 \times 13.\). While I do research each calculator's subject prior to creating and upgrading them, because I don't work in those fields on a regular basis, I eventually forget what I learned during my research. And it wasn't that bad! Two tankers contain \(850\) litres and \(680\) litres of water, respectively. Move the slider to left and right to adjust the calculator width. Find the highest possible capacity of a container that can measure the water of either tanker an exact number of times.Ans: Clearly, the maximum capacity of the container in the \(HCF\) of \(850\) and \(680\) in litres. Since 3 x 481 does equal 1443, our solution checks out. Add or remove this page to/from my favorites. A way to incorporate reasoning skills into division is to ask students to interpret the remainder while solving division word problems. If the prize is to be split equally among them, how much money will they each receive? This result is provided as a means to check the long division result for accuracy. Note that if the result contains more than 16 digits the last digit(s) is likely rounded. Most values cluster around a central region, with values tapering off as they go further away from the center. Set up the division problem with the long division symbol or the long division bracket. Thus, the solution to the division problem is: To continue the long division problem to find an exact value, continue the same process above, adding a decimal point after the quotient, and adding 0s to form new dividends until an exact solution is found, or until the quotient to a desired number of decimal places is determined. The formal long division algorithm is a step-by-step method of supporting children to understand both conceptually and practically how to divide a multi-digit number by a one or two-digit number. IMPORTANT: Numeric entry fields must not contain dollar signs, percent signs, commas, spaces, etc. https://www.calculatorsoup.com - Online Calculators. In this example, students will need to add 1 or round up the answer. She is a self confessed grammar pedant and number nerd so we've welcomed her as a regular author and editor for Third Space Learning. Step 3: Subtract the result from the digit and write the difference below. 1 Step BY Step Expression Terms in Division Dividend - The number being divided Divisor - Number that will divide the dividend exactly Quotient - The Result of Division Remainder - Number "left over" after dividing Example: More >> Similar Number Calculator Sigma Notation Calculator Sum of Square Calculator Sum of Cube Calculator Method 1 : Find GCD using prime factorization method Example: find GCD of 36 and 48 Step 1: find prime factorization of each number: 42 = 2 * 3 * 7 70 = 2 * 5 * 7 Step 2: circle out all common factors: 42 = * 3 * 70 = * 5 * We see that the GCD is * = 14 This leaves you with a new dividend of 2200. Note: as were working digit by digit from left to right, we can see that 24 doesnt fit into 1 (the first digit), therefore a 0 is placed above it; it also doesnt fit into 13 (the 1st and 2nd digit combined), therefore another 0 is placed above it. Generally, calculating standard deviation is valuable any time it is desired to know how far from the mean a typical value from a distribution can be. It is a corrected version of the equation obtained from modifying the population standard deviation equation by using the sample size as the size of the population, which removes some of the bias in the equation. Dividing by 3 isnt so scary, but dividing by 97 is much more intimidating! tion of use of 'the standard algorithm.' However, adefinitionfor'thestandardalgorithm'isnotoffered. a. It has helped me more than my maths teacher, of course there are a few problems here and there like not scanning the exercises correctly and it never scans "" this sign but apart from that I really love the app. To understand more about how we use cookies or to change your preference and browser settings, please see our Global Privacy Policy. I am 57 ,never finish H. It solves every maths problem, tHIS APP IS THE BEST MATH APP TO USE, EVER! Remember to work slowly through from the first digit of the dividend. If the calculator didn't work at all, please try downloading the latest version of Google Chrome or Firefox. Take a picture of the problem, tell it what you want, and it does it for you while telling you how to do it, helps with school, I don't have any missing homework now due to this app :D. I'm more willing to try new problems now. Fourth graders fluently add and subtract multi-digit whole numbers using the standard algorithm (4.NBT.B.4). Division: We want to see how many times 2 will go into 8 . 1) Represent the Decimal number 286.75 (10) into Binary format. Necessary cookies are absolutely essential for the website to function properly. Suppose we have to calculate the \(HCF\) of the numbers \(455\) and \(42.\) We begin with the bigger whole number \(455.\) Then, we use Euclids lemma to get,\(455 = 42 \times 10 + 35\)Now consider the divisor \(42\) and the remainder \(35,\) and apply the division lemma to get,\(42 = 35 \times 1 + 7\)Now consider the divisor \(35\) and the remainder \(7\)\ and apply the division lemma to get,\(35 = 7 \times 5 + 0\)Hence, the \(HCF\) of \(455\) and \(42\) is \(7.\). Then iteratively divide the data by the n-bit divisor by positioning the divisor below the first 1 in the input. We will show them using few examples. The standard deviation is usually an unknown constant. When used in this manner, standard deviation is often called the standard error of the mean, or standard error of the estimate with regard to a mean. 2: Multiply: 5 lots of 24 is 120 (I should know this from the answer to the previous step, but I can also count down my list of multiples to find the 5th multiple of 24). Divide 48 by the divisor, 32. Put the 5 on top of the division bar, to the right of the 1. How are the methods alike? Apps can be a great way to help students with their algebra. It doesnt have to if you have the right long division teaching strategy in place.

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Esomeprazole Gastro Resistant Tablet Uses, Francis X Bushman Cause Of Death, Where Is Mia Gradney This Week, Kroger Ground Beef Recall 2022, How Far Do Armadillos Travel From Their Burrow, Articles S