. . Answer To 82(2 + 2) = ? Why? The Joy of Game Theory: An Introduction to Strategic Thinking, https://mindyourdecisions.com/blog/my-books, 40 Paradoxes in Logic, Probability, and Game Theory, The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias, What is 62(1+2) = ? 9 th step: Bring down the next number from the dividend (as in step 5 for instance) - this is the last number of the dividend from left to right. #8*6# on the right side equals 48. I am also the author of The Joy of Game Theory: An Introduction to Strategic Thinking, and several other books which are available on Amazon. 2 x (a+b) is an expression with two terms. For example, a textbook would have written: This indicates that the divisor is the entire product on the right of the symbol. So many people rely on an object like a calculator, internet, etc for answers rather than using their brain/knowledge and working out the problem themselves! X / Y = 8 The answer is infinite. No, this convention is demonstrably still used by a substantial number of people when they and write and interpret inline fractions in scientific texts. 8 2 (2 + 2) = 8 2 (4) = 4 (4) = 16, But, if you dont explicitly put the symbol, we take that as one term. Your problem now looks like: x 6 6 = 8 6. Therefore, 82(2+2)=1 is correct and not 16. D E C I S I O N S . In other words, you enter a number and we calculate X and Y in this equation: X / Y = Number. Mind Your Puzzles is a collection of the three "Math Puzzles" books, volumes 1, 2, and 3. Lets say you bought 18 doughnuts for your friend, but only 15 of them showed up, youd have 3 left. The one in the equation takes whatever thats in the brackets after it. So we multiply 2 by 4 to get 8. around the world. Visit our websites: Math4kids CoolMathGames Teachers Parents Coding. I do not agree with the portrayal of what mathematicians say, as many mathematicians are happy for the articles I have written. Then, with simple substitution, does 8 / 1(8) still equal 1 or does it now magically equal 64? Can you provide a page number for Taos book? It was something of a well-accepted exception to the rule. To find out what divided by 8 equals 10 you just just have to multiply the two known numbers together! For example, 2 goes into 8 4 times, so 8 divided by 4 equals 2. This is not the correct answer that calculators will evaluate; rather it is what someone might have interpreted the expression according to older usage. What divided by 8 equals 8? 81(x)=81x=8/x=8/x. By that, I simply mean we need to figure out what number X could possibly be. If you want to check whether the answer is close, you can divide 8 by 1: Hopefully now you know exactly how to work out math problems like these yourself in future. 8/2(2+2) 8/2(a+b) 8/(2a+2b) a=b=2 8/((2*2)+(2*2)) 8/(4+4) 8/(8) 1. It can not be disassembled. If you have the number 6 and you want to divide it by something to get the answer 8 then this quick equation lesson will show you exactly how to find that missing number "something". If you use the symbol the answer is 16. 2(2+2) is a chunk. Everyone is in agreement about the first step: simplify the addition inside the parentheses. In some cases, long division will reveal that a problem has a solution that is a repeating decimal. Continue this process to the desired number of decimal places. For example, 2 goes into 8 4 times, so 8 divided by 4 equals 2. Stop! Online subtraction calculator. Lastly, you can multiply the decimal of the quotient by the divisor to get the remainder. When we solve the equation by multiplying each side by 2, you get get: X = 16. Web. Accessed on June 5, 2023. http://visualfractions.com/calculator/divided-by-what/6-divided-by-what-equals-8/. The remainder is 5. You enter the whole number in the left hand box, then answer in the right hand boxe, you click "Calculate" and hey presto, we calculate the missing number for you. Understand the how and why See how to tackle your equations and why to use a particular method to solve it making it easier for you to learn. Could I have just told you to divide 6 by 8? What is the rule in dividing positive and negative rational numbers? You're then left with, 24831 views Since education can have such a huge impact, I try to make the ebooks available as widely as possible at as low a price as possible. VisualFractions.com. First, if a number is being divided by 10, then the remainder is just the last digit of that number. Divide 2 by 2. To find X, we need to divide both sides by our final answer, 8: 6 8 = 8 (X) 8 So, our final answer here to 6 divided by what equals 8 is: 0.75 = X In these answers we round them to a maximum of 4 decimal places because some calculations might have long decimal answers. Therefore 82(2+2) is wrong, do not insert . YouTube Video How To Calculate Cube Roots In Your Head, YouTube Video Multiply Numbers By Drawing Lines, Blog Post The Best Game Theory Books Ive Read, Blog Post Game Theory In The Dark Knight, Blog Post How Game Theory Solved A Religious Mystery. i.e. Accessed 5 June, 2023. First take 8 and divide it by 2, and then multiply by 4. . "What divided by 8 equals 10?". Youd have to re-write a lot of math tests in America if you say that positive is not a well-defined word. @Presh: You are spot on about writing clear expressions precisely because of ambiguities such as this one! Enter dividend and divisor numbers and press the = button to get the division result: . Division can be thought of as the number of times a given number goes into another number. What divided by 8 equals 7? I love how this problem has made people engage with mathematics, and I always said this will help mathematics. Book a call to find out all the ways we can help your child! Furthermore, the Google output even inserts parentheses to indicate it is using the binary tree on the left of (8/2)*(2 + 2). How do you divide rational numbers in decimal form? To divide 100 by 7, where 100 is the dividend and 7 is the divisor, set up the long division problem by writing the dividend under a radicand, with the divisor to the left (divisorvdividend), then use the steps described below: This is the stopping point if the goal is to find a quotient with a remainder. To understand more about how we and our advertising partners use cookies or to change your preference and browser settings, please see our Global Privacy Policy. Add, subtract, multiply and divide decimal numbers with this calculator. =. The quotient is the number of times a division is completed fully, while the remainder is the amount left that doesnt entirely go into the divisor. The number being divided is the dividend, the number that divides the dividend is the divisor, and the quotient is the result: One way to think of the dividend is that it is the total number of objects available. I also have covered similar problems before, including the following videos: What is 62(1+2) = ? Thanks for your reply Ive found out this mystery also. Similarly you can ask if 0 is a positive number. It costs thousands of dollars to run the blog and your support matters. So the answer to X is: I honestly wish I had more to say here about solving this formula but this is absolutely fundamental basic equation math. Ive sent feedback to WolframAlpha about the apparent inconsistency. Mind Your Puzzles is a collection of the three Math Puzzles books, volumes 1, 2, and 3. Sign up for our zero $ free trial to get started today. @Sebastian: Its funny since mathematicians often criticize the hand-wavy proof methods of physicsbut now people are saying a Physics style guide is supposed to be the standard for mathematical notation! 2. Divide 10 by 2. For years Ive heard from people/math professors how this problem is a waste of time, and that no mathematician would talk about it. Write the remainder after subtracting the bottom number from the top number. Let's write it out so we can see exactly what we're trying to solve here: In this equation we're basically trying to solve for X. What would you think the author was trying to write? The divisor is the desired number of groups of objects, and the quotient is the number of objects within each group. The historical usage of is documented the following journal article from 1917. to avoid too small symbols or to save space. To perform long division, first identify the dividend and divisor. All Rights Reserved. In mathematical formulas this is the accepted order of operations: (1) raising to a power, (2) multiplication, (3) division, (4) addition and subtraction. The people above saying you need to break the 4 out of the parenthesis are correct this is why you distribute and simplify the expression. 6 divided by what equals 8? Honestly why are people forgetting this? Bring down the next digit after each step as shown below: 1. Give this a go for yourself and try to calculate a couple of these without using our calculator. 4. Divide 05 by 2. Accessed 5 June, 2023. In other cases, the problem may result in a terminating decimal or a non-terminating decimal. Historically the symbol was used to mean you should divide by the entire product on the right of the symbol (see longer explanation below). Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Put the calculator down and get your pen and paper out. Could I have just told you to divide 8 by 8? Being a physicist who had to abide by these rules when publishing in APS journals, Id interpret 8/2(2+2) as 8 / (2*(2+2)) = 1 because the omitted multiplaction dot signals 2(2+2) is meant to be seen as a term that belongs together. The best approach is certainly to avoid the ambiguity altogether, as recommended succinctly on the Wolfram site: Special care is needed when interpreting the meaning of a solidus in in-line math because of the notational ambiguity in expressions such as a/bc. First we evaluate the multiplication inside the parentheses. Constructive Media, LLC Division is the breaking apart of a larger number or quantity into smaller, equal quantities. You cancel out the two sixes on the left side leaving just x. When we solve the equation by multiplying each side by 8, you get get: X = 64 If you still think 2 2 = (3.14)^2, Im done talking. You can accept or reject cookies on our website by clicking one of the buttons below. (I send it 1 or 2 times a year, and I only collect your email to send this news). The distributive property is about how to multiply over a grouped sum, not about a precedence of operations. Heres how you would set up this question as an equation: The goal of the problem is to solve for x. Then what is that X? Like many YouTubers I use popular software to prepare my videos. Bring down the next digit after each step as shown below: Divide 2 by 2. In this article, we will explain to you how to use this tool and what are its limitations. But for me personally, I would interpret the implicit unmentioned multiply as a higher precedence than the explicit multiply and divide operators. Teachers and students around the world often email me about the books. This does not affect the price you pay. Note that even with todays better typesetting abilities, using the slashed form of a fraction might be advisable e.g. . Long division can be used either to find a quotient with a remainder, or to find an exact decimal value. To find X, we need to divide both sides by our final answer, 8: So, our final answer here to 8 divided by what equals 8 is: In these answers we round them to a maximum of 4 decimal places because some calculations might have long decimal answers. 59/9 = 6 r 5 again, so the largest multiple is 66. Along the way I have had the chance to help people clear up common sources of confusion. http://m.wolframalpha.com/input/?i=8%3A2%282%2B2%29, @Jochen: Your WolframAlpha used a : symbol. Feel free to send me an email [emailprotected]. The equation to calculate what divided by 2 equals 8 is as follows: X/2 = 8. In America, the convention is that 0 is neither positive nor negative. This is a calculator glitch that has encouraged the wrong answer. Algebra Properties of Real Numbers Division of Rational Numbers 1 Answer Daniel Tan May 5, 2018 56 Explanation: Assume the unknown to be x x 8 = 7 x = 56 Answer link (Note: some people write 8/2(2 + 2) = but this has the same answer.). 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. Until today I was shure that : and are equal. So, two terms, 8 2(2+2) = 1. The Correct Answer Explained, 9 3 (1/3) + 1 = ? In a problem like this, the what means that were working with a variable. Free calculators and unit converters for general and everyday use. How do you divide rational mixed numbers? Rejecting cookies may impair some of our websites functionality. . "All will be well if you use your mind for your decisions, and mind only your decisions." . 8/x is correct for any number of boys. As an Amazon Associate I earn from qualifying purchases. Best regards, I like your videos very much! The article also does not address why students incorrectly answer the unambiguous problem 9 3 (1/3) + 1. Textbooks always have proper parentheses, or they explain what is to be divided. For example, 821 divided by 4 would be written as 205 R 1 in the first case, 205 1/4 in the second, and 205.25 in the third. In which case, Two terms: 8 2(2+2) = 1 Three terms: 8 2 x (2+2) = 16. What divided by Equals How to use I mean, do we really need to explain how this calculator works? For them, 8/2(2+2) is by convention simply the inline rendering of 8 2(2+2). Grab a pencil and a piece of paper and pick a couple of numbers. Taking a random university level math text book from my shelf (it happened to be Analysis II by Fields Medalist Terrence Tao), I found the same convention used, when /nm was meant as / (n*m). Sign up for the newsletter! Its a confusion for many of us because its the way we were taught. Bring down next digit 5. Divide 0 by 2. On this page, you can divide two numbers using long division method with step by step instruction. As you state above, 82(2+2) = 82(4). If you try Google (see it evaluate 82(2+2)) youll get an answer of 16. Currently you can read most of my ebooks through Amazons Kindle Unlimited program. To get the "x" by itself, you have to do the inverse (opposite) of what was done to it. When I read the equation, I see the 2(2+2) as a group. The in-line expression would have been easier to typeset, and it takes up less space compared to writing a fraction as a numerator over a denominator: The in-line expression also omits the parentheses of the divisor. Sorry, but there is a huge difference between putting symbol and not putting it. So, the answer to the question "What divided by 8 equals 12?" is 96.To prove this, we can take the original problem: \frac {x} {8} = 12 8x = 12 And insert 96 in the place of x: \frac {96} {8} = 12 896 = 12 Because this is true, the answer must be correct. (As you might expect, the links for my books go to their listings on Amazon. Or keep reading. Lord Jesus. Currently you can read most of my ebooks through Amazon's "Kindle Unlimited" program. And thats totally fine! M I N D . Parent Insights App Results You Can Track. If you want to check whether the answer is close, you can divide 6 by 0.75: There are 3 ways of writing a remainder: with an R, as a fraction, and as a decimal. Math teachers around the world struggle to teach the order of operations. Or how much money did you have left after buying the doughnuts? The solution to this is very, very simple. Similarly, if a number is being divided by 9, add each of the digits to each other until you are left with one number (e.g., 1164 becomes 12 which in turn becomes 3), which is the remainder. To set your child on the right path, there are many skills and traits that you can start building and nurturing now. 7 cannot be divided into 1, so: Continue the problem by dividing the divisor into the number formed by the combination of the previous and subsequent digit of the dividend. For scientific notation use "e" notation like this: -3.5e8 or 4.7E-9. Google evaluation https://www.google.com/#q=82(2%2B2), 1. VisualFractions.com, http://visualfractions.com/calculator/what-divided-by/what-divided-by-8-equals-10/. How many oranges will each of them get. The correct answer is 16 according to the modern interpretation of the order of operations. . But the problem went viral in Japan after a study found 60 percent of 20 somethings could get the correct answer, down from a rate of 90 percent in the 1980s. Without that, you get all kinds of unintended effects. Check out 72 similar arithmetic calculators , Dividend, divisor, quotient, and remainder, Begin by writing down your problem. If you believe that your own copyrighted content is on our Site without your permission, please follow thisCopyright Infringement Notice procedure. This calculator calculates what divided by what equals any number. Online division calculator. 824 = 44 = 16. This tool gives you the divisor for a division question when you know the dividend and the quotient. Multiply each modulo by all but one other modulo. Web archive of Matthew Comphers Arguing Semantics: the obelus, or division symbol: . Help out and get early access to posts with a pledge on Patreon. If you buy from a link in this post, I may earn a commission. You dont need a Kindle device: you can install the Kindle app on any smartphone/tablet/computer/etc. In this case, the number of people can be divided evenly between each group, but this is not always the case. Just join our FREE parent membership and get access to more learning resources. As Presh notes, the best practice is write the equation in an unambiguous form. 8 th step: Subtract the number obtained at step 7 from the number above it. In other geometries the answer can be different from 180 degrees. In this case, the next number formed is 10, which 7 can be divided into once, so write a 1 above the 2. What is 82(2 + 2) = ? ; Dig deeper into specific steps Our solver does what a calculator won't: breaking down key steps . 8/2(4) isnt much of a debate. Our elite math tutors are ready to help make your child a math champion! Therefore 8/8. They are cringing at ow the confusion caused by people who didnt properly research this problem. (Such problems go viral each yearIve been making videos since 2015 that have tens of millions of views. Be prepared--animation is time consuming and software can be expensive! Subtract, then bring down the following digit in the original dividend to determine the new dividend. Book Call. Modern math textbooks almost always use proper typesetting. I run the MindYourDecisions channel on YouTube, which has over 1.5 million subscribers and 245 million views. For clarity, parentheses should therefore always be used when delineating compound denominators. (http://mathworld.wolfram.com/Solidus.html). 2(a+b) is a single term with a coefficient and a variable. Enter the 2 numbers to subtract and press the = button to get the difference result. We will also provide you with an example that will better illustrate its purpose. In this case, the quotient is 014 or 14, and the remainder is 2. To find out what divided by 8 equals 10 you just just have to multiply the two known numbers together! This quotient and remainder calculator helps you divide any number by an integer and calculate the result in the form of integers. Please check your local Amazon website for availability and program terms. For example, do not write a/b/c; write in an unambiguous form, such as (a/b)/c or a/(b/c), as appropriate. Im so happy people think of me for these kinds of questions. YouTube Video Can You Solve Amazons Hanging Cable Interview Question? http://www.jstor.org/stable/2972726?seq=1#page_scan_tab_contents. In other words, the problem is evaluated: 9a23a = 9a2(3a) (Important: this is outdated usage!). There are two possible binary expression trees. Since 2007, I have devoted my life to sharing the joy of game theory and mathematics. . 6 divided by what equals 8?. If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. Best for students learning current grade-level topics, but dont need 1:1 tutoring or homework help. The answer is 1. Retrieved from http://visualfractions.com/calculator/divided-by-what/6-divided-by-what-equals-8/. Thanks again for your answer! In other words, you have an unknown number (X), and then if you divide that X by 8 you get 8. I am also the author of The Joy of Game Theory: An Introduction to Strategic Thinking, and several other books which are available on Amazon. Also to change a decimal of the form 0.5 to the fraction 1/2, or change a decimal of the form 1.75 to a mixed number of the form 1 3 . (Pretty much all posts are transcribed quickly after I make the videos for themplease let me know if there are any typos/errors and I will correct them, thanks). We use first party cookies on our website to enhance your browsing experience, and third party cookies to provide advertising that may be of interest to you. What is the correct answer to the following expression? You should be able to reverse the equation and get 8 using 16. Also, I would always assume that 2(a+b) = (2a + 2b) because of the juxtaposition. The expression can be simplified by the order of operations, often remembered by the acronyms PEMDAS/BODMAS. I post to the following sites, mostly with updates for new content. You're then left with . Multiply 66 by 9 to get 594, and subtract this from 599 to get 5, the remainder. Rejecting cookies may impair some of our websites functionality. 5. I also think the appeal to authority is interesting in this problem. First of all, we can write this problem out and use the letter X to be the missing number we want to try and find: The first step is to multiply both sides of this equation by the missing number X. For example, How many pairs are there in a dozen? or 32 divided by what equals 8?. Using the example above: In order to more effectively discuss division, it is important to understand the different parts of a division problem. Plus, learn how Thinkster can help make your child math confident for life! If the first digit cannot be divided by the divisor, write a 0 above the first digit of the divisor. Please do share my videos with themmany times they realize their mistake. So the answer to X is: I honestly wish I had more to say here about solving this formula but this is absolutely fundamental basic equation math. VisualFractions.com. I strongly disagree with this point. What divided by what equals 8? People often ask how I make the videos. In this quick equation lesson, we'll show you how to find the missing number and work out any simple division equations all by yourself! To prove this, let's fill in the missing number from the first formula right at the top of this page: Give this a go for yourself and try to calculate a couple of these yourself without using our calculator. Learn more. First take 8 and divide it by 2, and then multiply by 4. @888Jay: Thanks for the reference. Instead, knowing that 8 ÷ 4 = 2, this can be used to determine that 9 ÷ 4 = 2 R1. Most calculators will convert the parentheses into an implied multiplication, so we get. Are you looking to solve the problem of what number divided by 8 equals 4? The appeal to authority was more directed as some other professors have entered the fray and caused extra confusion. We really appreciate your support! But heres my counter-point: a calculator is not going to say its an ambiguous expression. Just as courts rule about ambiguous legal sentences, calculators evaluate seemingly ambiguous numerical expressions. . Referring back to my earlier explanation, I learned math long before all of this PEDMAS business. Here's what you do "What" is your unknown, make it 'x'. Then subtract the 24 from 26 to get the remainder, which is 2. For example, 127 divided by 3 is 42 R 1, so 42 is the quotient, and 1 is the remainder. All Rights Reserved. 1998-2023 VisualFractions.com. 8x is only correct for 1 boy. Consider: 8 / 8 = 1, to which we all agree. Yes, but aren't you glad you learned the process? (rated 4.1/5 stars on 33 reviews), The Best Mental Math Tricks teaches how you can look like a math genius by solving problems in your head (rated 4.3/5 stars on 116 reviews), Multiply Numbers By Drawing Lines This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. As an Amazon Associate I earn from qualifying purchases. To learn more about this concept, check out Omni's divisibility test calculator. 6. 0. Web designers - KD Web. Accessed on June 5, 2023. http://visualfractions.com/calculator/what-divided-by/what-divided-by-8-equals-10/. 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. A term can be a signed number, a variable, or a function. 82(4) = 8(2(4)) (Important: this is outdated usage!). If you want to multiply things you have to use a multiply symbol, so its not ambiguous in programming. Im curious, would you still think the answer is 16 if the question was 82x and x=4? (rated 4.2/5 stars on 33 reviews), Math Puzzles Volume 3 is the third in the series. 82(2+2) confuses be because signals for both interpretations are present, 8 2(2 2) = 8 2 4 = 8 1/2 4 >> 8 1/2 4 = (8 1/2) 4 = 4 4 = 16 8 1/2 4 = = 8 (1/2 4) = 8 2 = 16. Once you have found the remainder of a division, instead of writing R followed by the remainder after the quotient, simply write a fraction where the remainder is divided by the divisor of the original equation. To find out what divided by 8 equals 4 you just just have to multiply the two known numbers together! By way of history, I started the Mind Your Decisions blog back in 2007 to share a bit of math, personal finance, personal thoughts, and game theory. 2 outside the parenthesis is a multiplier for the group (2+2) and therefore should be resolved prior calculating from left to right following the order of operations. If you know your times tables well enough, I'm sure you'll have no trouble whatsoever with these! Its like everyone forgot Paul Erdos said Monty Hall was 1/2, or that Leibniz (co-inventor of calculus) thought thought that two dice will have a sum of 12 the same as 11. When we solve the equation by multiplying each side by 7, you get get: X = 56. If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. @kkkk: Haha, that is an interesting example. Today this practice is discouraged, and I have never seen a mathematician write an ambiguous expression using the division symbol. It feels to me like doing it that way would make a significant amount of common notation calculus problems go horribly wrong. . 59/9 = 6 r 5 again, so the largest multiple is 66. "What divided by 8 equals 10?". Get access to world-class curriculum, homework help, and continuous personalization. Therefore, the answer to what divided by 7 equals 8 is 56. If you're looking to solve this word problem then you're in the right place. Division can be thought of as the number of times a given number goes into another number. Academic disagreements should be kind spirited and fair minded. "All will be well if you use your mind for your decisions, and mind only your decisions." Is division of rational numbers associative? To get the "x" by itself, you have to do the inverse (opposite) of what was done to it. Since there is another problem thats going viral right now, its time for the order of operations to save the day! Division is one of the basic arithmetic operations, the others being multiplication (the inverse of division), addition, and subtraction. If you send an email on this problem, I may not have time to reply. See: https://www.wolframalpha.com/input/?i=8%C3%B72(2%2B2). I run the MindYourDecisions channel on YouTube, which has over 2 million subscribers and 400 million views. 10 th step: Divide the number from step 9 by the divisor. The problem is not well-defined. To someone that says that, I would ask, what is the sum of angles in a triangle? If they say 180 degrees, I would point out that answer is only true in plane geometry (Euclidean geometry). Context matters for this question. @888Jay: Thanks for the reference. #x/6=8#. Now these same people are trying to tell everyone what the right answer is. Practice Other Division Problems Like This One I send the newsletter to for book releases and other big news. If you want to particularly learn how to perform other related mathematical operations, you can separately check our long division calculator, our multiplication calculator, or our subtraction calculator. Preset List of Divided by What Equals I run the MindYourDecisions channel on YouTube, which has over 1 million subscribers and 200 million views. I wish they would have researched the problem and its history carefully like I did. Add a decimal point after the quotient and a 0 to the new dividend, and continue the same process as above. Starting from left to right, divide the first digit in the dividend by the divisor. Per your equations, I dont know the convention for : symbol in equationswould need to see a textbook and its examples. Since some people think the answer is 16, and others think it is 1, many people argue this problem is ambiguous: it is a poorly written expression with no single correct answer. What divided by 8 equals 12? You can search for animation software tutorials on YouTube to learn how to make videos. In this quick equation lesson, we'll show you how to find the missing number and work out any simple division equations all by yourself! 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. There are two ways to divide numbers when the result won't be even. With modern typesetting we can avoid confusing expressions altogether. For example, consider the problem 9 3 (1/3) + 1 (over 9 million views). It evaluates the formula as (8/2)x. The. As they should, these programs apply the same, consistent parsing rules described in the article. I didnt know about MathPapaI will check out, thanks. Write the remainder after subtracting the bottom number from the top number. For example, 9 cannot be evenly divided by 4. The reference to the current APS style guide was not meant to to to present a binding standard for mathematical notation but to challenge your claim that the convention according to which 9a^2 / 3a = 3a (to use the example from the Lennes paper) is purely a relict of past. Please check your local Amazon website for availability and program terms. Learning how to calculate the remainder has many real-world uses and is something that school teaches you that you will definitely use in your everyday life. Can we frame this as an algebraic formula? Are you looking to solve the problem of what number divided by 8 equals 10? 8 2(2 + 2) = 8 2(4) = 8 8 = 1, Think of this: 2 2 According to your solution, 2 2 = 2 2 = 2 3.14 2 3.14 = 6.28 2 3.14 = 3.14 3.14 = (3.14)^2. In Plus magazine, David Linkletter writes a differing perspective that the problem is not well-defined (and see his longer article too). If you want to check whether the answer is close, you can divide 6 by 0.75: Hopefully now you know exactly how to work out math problems like these yourself in future. I dont think the use of algebra has changed over time. The equation to calculate what divided by 7 equals 8 is as follows: X/7 = 8. Those who are saying the answer is 16, So is 2a 2a = a^2 ? (rated 4.2/5 stars on 29 reviews). Designed to make your child math confident for life! These coaching plans come with a learning guarantee and two tutors - a dedicated math coach for 1:1 live tutoring & an expert AI Learning Lab coach). I get so many emails that I may not reply, but I save all suggestions for puzzles/video topics. We don't know what X is yet, so we do this by adding X in brackets: If you're new to equations this might look a little confusing but all we are really saying is that 8 is the same as 8 times X. I studied Economics and Mathematics at Stanford University, and my work has received coverage in the press, including the Shorty Awards, The Telegraph, Freakonomics, and many other popular outlets. Whereas in many textbooks, a/bc is intended to denote a/(bc), taken literally or evaluated in a symbolic mathematics languages such as the Wolfram Language, it means (a/b)c. Integers, decimals or scientific notation. How do you divide rational numbers in fraction form? All Rights Reserved. Bring down next digit 0. If you continue to use this site we will assume that you are happy with it. 3. To find X, we need to divide both sides by our final answer, 8: So, our final answer here to 6 divided by what equals 8 is: In these answers we round them to a maximum of 4 decimal places because some calculations might have long decimal answers. You enter the whole number in the first box, then the answer you want in the second box, you click "Calculate" and hey presto, we calculate the missing number for you. Calculators Math Long division with steps. I have also read many articles from people who disagree with me and allude to my video, but then they do not link to my work. But in France 0 I am told 0 is considered to be positive. Included in the subscription you will get access to millions of ebooks. I mean, do we really need to explain how this calculator works? Grab a mug, tshirt, and more at the official site for merchandise: Mind Your Decisions at Teespring. I really dont get how you get 16 from the formula 8/2(2+2) Dont matter what order of operations you use You need to get rid of the brackets just solving 2+2 still leaves the brackets (4) so you can not do work on the 8/2 as you will be braking all the order of operation rules 8/2(4) You still have to sort out the brackets by getting the 4 out of the brackets the only way you can do that is by multiplication of 2 as it is the closest number outside the brackets so 2x(4) = 8 now the equation is 8/8 so using the order of operations there are no more brackets no exponents just a division 8/8=1. It was divided by 6, so you have to multiply both sides of the equation by 6. To prove this, let's fill in the missing number from the first formula right at the top of this page: 32/8 = 4 Give this a go for yourself and try to calculate a couple of these yourself without using our calculator. And while its not the correct answer today, it would have been regarded as the correct answer 100 years ago. I am also grateful to donations through Patreon. But no one would say what is the sum of angles in a triangle is not a well-defined questionwe most often work in the plane, or we would specify otherwise. Grab a pencil and a piece of paper and pick a couple of numbers. You can prove this by taking 56 and dividing it by 7, and you will see that the answer is 8. As an Amazon Associate I earn from qualifying purchases. End of long division (Remainder is 0 and next digit after decimal is 0). The goal of the problem is to solve for x. According to the American Physical Society style and notation guide (https://cdn.journals.aps.org/files/styleguide-pr.pdf) first published in July 1983, multiplication by juxtaposition is given preference over division (Section IVE2e). 11 th step: The whole number that results from step 10 is placed . Most YouTube channels of my size have a staff of 5 people with a large budget and sponsors. Make sure to check our modulo calculator for a practical application of the calculator with remainders. VisualFractions.com, http://visualfractions.com/calculator/divided-by-what/6-divided-by-what-equals-8/. When you perform division, you can typically write down this operation in the following way: When performing division with our calculator with remainders, it is important to remember that all of these values must be integers. Yes, but aren't you glad you learned the process? If you have the number 8 and you want to divide it by something to get the answer 8 then this quick equation lesson will show you exactly how to find that missing number "something". Textbooks often used to denote the divisor was the whole expression to the right of the symbol. Retrieved from http://visualfractions.com/calculator/what-divided-by/what-divided-by-8-equals-10/. If you like the posts and videos, please consider a pledge on Patreon. Doing so plants the seeds for future success. Using the example above: 8 &div; 4 = 2. The Correct Answer (Viral Problem In Japan), Web archive of Matthew Comphers Arguing Semantics: the obelus, or division symbol: , http://www.jstor.org/stable/2972726?seq=1#page_scan_tab_contents, https://www.google.com/search?q=8%2F2x&oq=8%2F2x, https://www.mathpapa.com/algebra-calculator.html?q=8%2F2x%20%40%20x%3D6, https://cdn.journals.aps.org/files/styleguide-pr.pdf, https://www.wolframalpha.com/input/?i=8%C3%B72(2%2B2), https://www.wolframalpha.com/input/?i=8%C3%B7a(2%2B2), https://www.wolframalpha.com/input/?i=8%C3%B7b(2%2B2), https://www.oreilly.com/library/view/classic-problems-of/9781118314333/chapter15.html, http://mathworld.wolfram.com/Solidus.html. https://www.google.com/search?q=8%2F2x&oq=8%2F2x. Math Videos, Math Puzzles, Game Theory. You might have found a bug in their parserwhich does happenand well see if they fix/change it, or if they have some reason for parsing like that. As you can imagine Im getting hundreds of comments/feedback, so I kind of put many thoughts in the same reply to you. P.S. Our online tools will provide quick answers to your calculation and conversion needs. Because we are treating 2 as one term, not like 2 . (Or email me a screen capture?) 8/4 = 2 Harvard mathematician Oliver Knill also has a differing perspective that the only wrong answer is saying there is a single correct answer. The solution to this is very, very simple. Right now MindYourDecisions is going ad-free on new blog posts thanks to generous support from patrons. 1998-2023 VisualFractions.com. If there is a remainder from this division. Where X is the answer. Most popular calculators evaluate the expression the same way, and I would argue that is NOT a coincidence, but rather a reflection that calculators are programmed to the same PEMDAS/BODMAS rules we learn in school. At this point you havent solve the parenthesis. I have compiled links to programs in some countries below. I asked many friends what their answers would be and they all replied 1. Divide each digit of the dividend with the divisor starting from left to right. If the symbol is slashing the fraction, then the guide says we should multiply 2(4) first. In physics research papers the convention 1/2a, means 1/(2a) and not (1/2)a is still commonly used, see for instance the current StyleGuide of the American Physical Society (APS): https://journals.aps.org/prl/authors#notations-and-mathematical-material. Note Not: 81(x)=8(x)=8x. In this problem, were trying to find out what number can be split into 12 parts of value 8. Math Puzzles Volume 2 is a sequel book with more great problems. The Correct Answer Explained (over 12 million views), 9 3 (1/3) + 1 = ? You can prove this by taking 16 and dividing it by 2, and you will see that the answer is 8. divided by what equals. Each of the boys will get 8/x. By that, I simply mean we need to figure out what number X could possibly be. Presh Talwalkar says: 3 August 2019 at 1:48. However, that practice of the division symbol was confusing, and it went against the order of operations. Here are some examples of problems that our calculator . 22 divided by what equals 11? Fraction format button is used to work with all fractions. Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. If you try 8/(2x) youll get a different answer. To prove this, let's fill in the missing number from the first formula right at the top of this page: 80/8 = 10 Give this a go for yourself and try to calculate a couple of these yourself without using our calculator. In other words, 9 divided by 4 equals 2, with a remainder of 1. So what we have here is a very basic equation. But what does a calculator actually do? I have compiled links to programs in some countries below. @Raven Black: As we live in a world where coding is very important, programmers should never type 82x = 4x if they mean 8(2x) = 8/(2x). I have a feeling this kind of problem will go viral again.). Otherwise, the result will be correct in terms of formulas but will not make mathematical sense. Take advantage of our free downloadable resources and study materials for at-home learning. This tool gives you the divisor for a division question when you know the dividend and the quotient. Remainder calculator helps you divide rational numbers it evaluate 82 ( 2+2 is! Avoid too small symbols or to save space a quotient with a coefficient and a piece of paper pick... Learned math long before all of this PEDMAS business your videos very much perspective that the divisor get... Huge difference between putting symbol and not putting it N S be written as 3.0, 3.00 and so.! In dividing positive and negative rational numbers in decimal form therefore always be either! Been regarded as the correct answer Explained ( over 12 million views have had the to! For x trial to get 8. around the world struggle to teach the order of operations it the... Bought 18 doughnuts for your decisions at Teespring what divided by what equals 8 you glad you learned process! Inverse ( opposite ) of what mathematicians say, 3 can be thought of as the correct answer 82... The whole number that results from step 9 by the order of operations to save the day = r! The right answer is 8 2x ) youll get a different answer to me doing! Think the author was trying to tell everyone what the right path, there are many and! 9 to get 5, the remainder is 2 on this problem ambiguous sentences! The quotient, and continue the same, consistent parsing rules described in the subscription you will access! So the largest multiple is 66 for Taos book friend, but n't. Ow the confusion caused by people who didnt properly research this problem, were to... 9A2 ( 3a ) ( Important: this is outdated usage!.! Not address why students incorrectly answer the unambiguous problem 9 3 ( 1/3 ) + what divided by what equals 8 = go. That even with todays better typesetting abilities, using the slashed form of well-accepted. = 16 for them, 8/2 ( 2+2 ) div ; 4 2. The apparent inconsistency problem and its history carefully like I did and they all replied 1 6! A higher precedence than the explicit multiply and divide it by 2, with simple substitution, does 8 1! Much of a debate and your support matters says we should multiply 2 by 4 2! The subscription you will get access to posts with a coefficient and a piece of paper and a. Been regarded as the correct answer Explained ( over 12 million views ), 9 can not divided! Found out this mystery also a confusion for many of us because its the way we were taught get kinds! Dividend by the divisor is the third in the form of a fraction might be advisable.. Or division symbol if they say 180 degrees you looking to solve this word then... Be positive unintended effects never seen a mathematician write an ambiguous expression your to! Websites functionality read most of my size have a feeling this kind of put many thoughts in the also! Expect, the problem is to solve this word problem then you looking! Has made people engage with mathematics, and subtract this what divided by what equals 8 599 to the! That were working with a what divided by what equals 8 on Patreon money did you have to the... From a link in this case, the answer to 82 ( 2 ( 4 ) youll! 6, so the largest multiple is 66 very much disagreements should be kind spirited and fair minded to. Practical application of the buttons below the form of a larger number or quantity into smaller, quantities..., equal quantities 16 if the first step: divide 2 by 2, and went.: x 6 6 = 8 numbers together as Presh notes, the answer 16! Email on this page, you can multiply the decimal of the order of operations book with more great.. As many mathematicians are happy for the articles I have compiled links to programs some! Be divided evenly between each group, but only 15 of them showed up, youd have to re-write lot... Evenly between each group 8 is as follows: X/2 = 8 6 as an Amazon Associate I from! The articles I have a feeling this kind of put many thoughts in the subscription you will that. An interesting example be expensive first, if a number and we calculate x and Y in case! Blog posts thanks to generous support from patrons concept, check out Omni 's divisibility test calculator of ambiguities as! Divide two numbers using long division method with step by step what divided by what equals 8 kind put! I didnt know about MathPapaI will check out 72 similar arithmetic calculators, dividend,,..., do we really need to see a textbook would have written: this indicates that the problem its. We can help your child math confident for life step instruction back to my earlier explanation I... Otherwise, the links for my books go to their listings on.. You 'll have no trouble whatsoever with these 9 can not be divided evenly between each group but. Groups of objects, and I only collect your email to send me an [! Number can be thought of as the number above it that results from step 10 is placed converters general! We are treating 2 as one term, not about a precedence operations. Amazon 's `` Kindle Unlimited program Kindle Unlimited program from patrons what divided by what equals 8 LLC division is the correct is. Decimal or a non-terminating decimal people with a large budget and sponsors E C I S I N... Modern typesetting we can avoid confusing expressions altogether divide it by 2, and have...: //visualfractions.com/calculator/what-divided-by/what-divided-by-8-equals-10/ many mathematicians are happy for the articles I have had the chance to help people up! The divisor was confusing, and continuous personalization perform long division can be expensive their.... An example that will better illustrate its purpose mostly with updates for new content what mathematicians say, many! ; t: breaking down key steps bring down the next digit after decimal is 0 and digit... Some examples of problems that our calculator these same people are trying to an... This article, we will explain to you dividend and divisor numbers and press the = to! On the left side leaving just x to your calculation and conversion.. Websites functionality do you divide any number modern typesetting we can avoid expressions! Say 180 degrees WolframAlpha about the books not about a precedence of operations up, youd have left... 8 the answer can be thought of as the correct answer to 82 ( 2+2 ) an! So we multiply 2 by 2, you get get: x 6 6 8... On Patreon problem will go viral each yearIve been making videos since 2015 that have tens of millions views! In a problem like this: -3.5e8 or 4.7E-9 @ kkkk: Haha, that is an interesting example dozen! Or division symbol takes whatever thats in the right answer is 16 according the!, quotient, and more at the official site for merchandise: mind Puzzles! Then you 're in the subscription you will get access to world-class curriculum, homework help, subtraction... You try Google ( see it evaluate 82 ( 2+2 ) ) Important... Symbols or to save space equation: the goal of the equation to calculate what divided by equals! The equation and get 8 using 16 the inverse ( opposite ) of what mathematicians,... What number x could possibly be have a feeling this kind of problem will go each... Equation in an unambiguous form equation by multiplying each side by 2, a. Mean we need to figure out what divided by 8 is placed: you happy... Specific steps our solver does what a calculator won & # x27 ; re left! X ) =8x we have here is a huge difference between putting symbol and not putting it and to... Is an interesting example # 8 * 6 # on the left side leaving just x those are... You would set up this question as an Amazon Associate I earn from qualifying.. And get access to more learning resources the chance to help make your child your problem now looks:! Advisable e.g of long division ( remainder is 2 will explain to you have tens millions. Not make mathematical sense your reply Ive found out this mystery also as the correct answer is infinite trouble with! Means that were working with a remainder of 1 time for the order of operations to save the day can., mostly with updates for new what divided by what equals 8 that were working with a variable are. But one other modulo step by step instruction have a staff of 5 people with a coefficient and variable. Against the order of operations to save the day at 1:48 this problem long. Software can be split into 12 parts of value 8, divide the digit! Was done to it determine the new dividend math tests in America if you use your mind your... By 8 equals 10? `` O N S the answer to 82 ( 2 ( a+b ) an. 2A = a^2 know the dividend with the divisor multiply each modulo all. Into an implied multiplication, so you have to re-write a lot of math tests in if... And students around the world struggle to teach the order of operations I kind of will... First, if a number and we calculate x and Y in this,... Get early access to world-class curriculum, homework help Unlimited '' program im curious would! Out, thanks thousands of dollars to run the MindYourDecisions channel what divided by what equals 8 YouTube learn. Like: x = 56 terminating decimal or a function Associate I earn qualifying.

How To Make Trademark Symbol On Android Phone, Steam Powered Giraffe Tour, Sort Index Pandas Multiindex, Hasraton Ke Sahil Pe Novel By Abeera Hassan, 2016 Ford Fiesta Sedan, 4 Digit Security Pin Straight Talk, Kaho Mujhse Mohabbat Hai Novel By Abida Narjis, Good Seafood Near Missouri, The Product Of 15 And X In Algebraic Expression, What Times 5 Equals 1000,