Multiply both numerators together and make the result the numerator of the answer. If you want to learn how to check your answers with multiplication, keep reading! You just look for a fraction with a power of 10 denominator (or one that can be readily made into one) and convert the top number into a decimal. As a small thank you, wed like to offer you a $30 gift card (valid at GoNift.com). Move the decimal point directly up above the division bar. Sort by: Top Voted Kate the great 6 years ago 0:22 For example, you could type "1/4 decimal" or something similar. The digit to the right of the digit youre rounding to tells you whether to round up or down, so you always have to figure out the division to one extra place.

\r\nSee the following chart:\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n

To Round a Decimal to	Fill Out the Dividend with Trailing Zeros to
A whole number	One decimal place
One decimal place	Two decimal places
Two decimal places	Three decimal places

\r\n

Sample questions

\r\n

\r\n \t
1. \r\n

   Divide the following: 9.152 / 0.8 = ?

   \r\n

   11.44. Again, place the decimal point in the quotient directly above where it now appears in the dividend, 21900:

   \r\n\r\n

   Now youre ready to divide. In order to divide a decimal number by 10, move the decimal point to the left by one place. A great way to enhance student learning in mathematics is to use tricks. In this case, we will multiply the divisor by 10, and then we need to treat the dividend in the same way. To convert a fraction into a percent, first convert it into a decimal. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. Line up the quotient carefully so the decimal point falls into place:

   \r\n\r\n

   Even though the division comes out even after you write the digit 6 in the quotient, you still need to add a placeholding zero so that the decimal point appears in the correct place.

   \r\n
\r\n

\r\n

Practice questions

\r\n

\r\n \t
1. \r\n

   Divide these two decimals: 9.345 / 0.05 = ?

   \r\n
\r\n \t
2. \r\n

   Solve the following division: 3.15 / 0.021 = ?

   \r\n
\r\n \t
3. \r\n

   Perform the following decimal division, rounding to one decimal place: 6.7 / 10.1.

   \r\n
\r\n \t
4. \r\n

   Find the solution, rounding to the nearest hundredth: 9.13 / 4.25.

   \r\n
\r\n

\r\nFollowing are answers to the practice questions:\r\n

\r\n \t
1. \r\n

   9.345 / 0.05 = 186.9. Solution: In this case, the divisor is a whole number so we need not make any changes. Place the decimal point in the quotient above the decimal point in the dividend:

   \r\n\r\n

   Divide, being careful to line up the quotient properly:

   \r\n\r\n

   Remember to insert a placeholding zero in the quotient so that the decimal point ends up in the correct place.

   \r\n
\r\n \t
2. \r\n

   6.7 / 10.1 = 0.7. To divide decimals using models, first shade in the first number, your dividend. At the same time, move the decimal point in the dividend (6.7) one place to the right:

   \r\n\r\n

   The problem asks you to round the quotient to one decimal place, so fill out the dividend with trailing zeros to two decimal places:

   \r\n\r\n

   Now youre ready to divide:

   \r\n\r\n

   Round the quotient to one decimal place:

   \r\n
\r\n \t
3. \r\n

   9.13 / 4.25 = 2.15. Add up all the digits in the number. In his spare time, he enjoys traveling and learning foreign languages.

   ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9399"}}],"primaryCategoryTaxonomy":{"categoryId":33722,"title":"Basic Math","slug":"basic-math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33722"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Sample questions","target":"#tab1"},{"label":"Practice questions","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":253710,"title":"Pre-Algebra Practice Questions: Comparing Fractions Using Cross-Multiplication","slug":"pre-algebra-practice-questions-comparing-fractions-using-cross-multiplication","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/253710"}},{"articleId":249996,"title":"Pre-Algebra Practice Questions: Solving Simple Algebraic Equations","slug":"pre-algebra-practice-questions-solving-simple-algebraic-equations","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249996"}},{"articleId":249986,"title":"Pre-Algebra Practice Questions: Isolating x in an Equation","slug":"pre-algebra-practice-questions-isolating-x-equation","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249986"}},{"articleId":249980,"title":"Pre-Algebra Practice Questions: Rearranging Equations to Isolate x","slug":"pre-algebra-practice-questions-rearranging-equations-isolate-x","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249980"}},{"articleId":249971,"title":"Pre-Algebra Practice Questions: Cross-Multiply to Solve Equations","slug":"pre-algebra-practice-questions-cross-multiply-solve-equations","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249971"}}],"fromCategory":[{"articleId":291491,"title":"Teaching Your Kids New Math (K-5) For Dummies Cheat Sheet","slug":"teaching-your-kids-new-math-k-5-for-dummies-cheat-sheet","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/291491"}},{"articleId":253710,"title":"Pre-Algebra Practice Questions: Comparing Fractions Using Cross-Multiplication","slug":"pre-algebra-practice-questions-comparing-fractions-using-cross-multiplication","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/253710"}},{"articleId":249996,"title":"Pre-Algebra Practice Questions: Solving Simple Algebraic Equations","slug":"pre-algebra-practice-questions-solving-simple-algebraic-equations","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249996"}},{"articleId":249986,"title":"Pre-Algebra Practice Questions: Isolating x in an Equation","slug":"pre-algebra-practice-questions-isolating-x-equation","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249986"}},{"articleId":249980,"title":"Pre-Algebra Practice Questions: Rearranging Equations to Isolate x","slug":"pre-algebra-practice-questions-rearranging-equations-isolate-x","categoryList":["academics-the-arts","math","basic-math"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/249980"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":281980,"slug":"basic-math-and-pre-algebra-workbook-for-dummies-with-online-practice-3rd-edition","isbn":"9781119357513","categoryList":["academics-the-arts","math","basic-math"],"amazon":{"default":"https://www.amazon.com/gp/product/1119357519/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119357519/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119357519-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119357519/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119357519/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/basic-math-and-pre-algebra-workbook-for-dummies-3rd-edition-cover-9781119357513-204x255.jpg","width":204,"height":255},"title":"Basic Math & Pre-Algebra Workbook For Dummies with Online Practice","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"

   Mark Zegarelli is a math and test prep teacher who has written a wide variety of basic math and pre-algebra books in the For Dummies series. Created by Sal Khan. What is 6 x 40? This math video tutorial explains how to multiply and divide decimals the easy fast way all in your head without using a calculator. Here, the weight of one marble is equal to 0.8 grams. Multiplying by 10 is easy, we just shift one space over like this: 6.40.4 is exactly the same as 644 If the divisor is a decimal number, we need to convert it to a whole number by shifting the decimal to the right until it becomes a whole number. So if you moved the decimal 2 places to the right, it would be above the bar and right after the 0 below it. We know that a decimal number is a number that consists of a whole number part and a fractional part which is separated by a dot which is known as the decimal point. This can be done by multiplying the divisor by the powers of 10 and then accordingly multiplying the dividend also by the same power of 10. For example, 24.15 is a decimal number in which 24 is the whole number part and 15 is the fractional part. For example, the quotient of 22.5 15.2 is 1.48. Take the number and multiply each digit beginning on the right-hand side (ones) by 1, 3, 2, 6, 4, 5. The digit to the right of the digit youre rounding to tells you whether to round up or down, so you always have to figure out the division to one extra place.

   \r\nSee the following chart:\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n

   To Round a Decimal to	Fill Out the Dividend with Trailing Zeros to
   A whole number	One decimal place
   One decimal place	Two decimal places
   Two decimal places	Three decimal places

   \r\n

   Sample questions

   \r\n
   \r\n \t
   1. \r\n

      Divide the following: 9.152 / 0.8 = ?

      \r\n

      11.44. Enjoy! Now, let us learn how to divide decimals by decimals. If the number is divisible by 2 and 3, it is also divisible by 6. While multiplying decimals, we add the number of decimal places of the multiplicand and the multiplier and then place the decimal point in the product according to those number of places. This article was co-authored by wikiHow staff writer, Jessica Gibson. After you divide, you can check your work by multiplying the decimal by the denominator to get the numerator. At the same time, move the decimal point in 9.1526 one place to the right. Step 3: Place the decimal point in the quotient above the dividend's decimal point and . Next, multiply the result by 100 to get a percent. Luckily, if you are teaching division, there are a lot of math tricks to choose from. Russell, Deb. If a few decimals are making division challenging for you, simplify the process by learning how to move the decimals. If the sum is divisible by 3, so is the number. Turn the divisor (the number you're dividing by) into a whole number by moving the decimal point all the way to the right. To learn how to convert fractions to decimals using power of 10 denominators, keep reading! For example, 34.286 100 = 34.286/100 = 0.34286, and 678.37 100 = 678.37/100 = 6.7837. Thus, to find the number of marbles, we need to divide the total weight by the weight of one marble: 376 0.8. Next, place a decimal point above the division bar directly on top of the decimal point in the dividend. Write the problem as usual: You need to move the decimal point in the divisor (0.021) three places to the right, so attach an additional trailing zero to the dividend (3.15) to extend it to three decimal places: Now you can move both decimal points three places to the right. Dividing decimals involves a few simple steps. After completing a year of art studies at the Emily Carr University in Vancouver, she graduated from Columbia College with a BA in History. #MathWithMrJClick Here to Subscribe to the Greatest Math Channel On Earth: https://goo.gl/XHTrfY Follow Mr. J on Twitter: @MrJMath5Email: math5.mrj@gmail.comMusic: https://www.bensound.com/royalty-free-musicHopefully this video is what you're looking for when it comes to dividing decimals.Have a great rest of your day and thanks again for watching! So, when we talk about dividing decimals, it may mean 32.16 2.3, or, 56.8 4, or 2387 9.2, and so on. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/e\/ec\/Convert-Fractions-to-Decimals-Step-1-Version-6.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-1-Version-6.jpg","bigUrl":"\/images\/thumb\/e\/ec\/Convert-Fractions-to-Decimals-Step-1-Version-6.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-1-Version-6.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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      \n<\/p><\/div>"}, Converting Fractions to Decimals Using Division, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/1\/10\/Convert-Fractions-to-Decimals-Step-4-Version-6.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-4-Version-6.jpg","bigUrl":"\/images\/thumb\/1\/10\/Convert-Fractions-to-Decimals-Step-4-Version-6.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-4-Version-6.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

      License: Creative Commons<\/a>
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      License: Creative Commons<\/a>
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      \n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/8\/8c\/Convert-Fractions-to-Decimals-Step-6-Version-5.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-6-Version-5.jpg","bigUrl":"\/images\/thumb\/8\/8c\/Convert-Fractions-to-Decimals-Step-6-Version-5.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-6-Version-5.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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      \n<\/p>

      
      \n<\/p><\/div>"}, Converting Fractions with "Power of 10" Denominators, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/e\/e6\/Convert-Fractions-to-Decimals-Step-7-Version-5.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-7-Version-5.jpg","bigUrl":"\/images\/thumb\/e\/e6\/Convert-Fractions-to-Decimals-Step-7-Version-5.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-7-Version-5.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

      License: Creative Commons<\/a>
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      \n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/4\/44\/Convert-Fractions-to-Decimals-Step-8-Version-5.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-8-Version-5.jpg","bigUrl":"\/images\/thumb\/4\/44\/Convert-Fractions-to-Decimals-Step-8-Version-5.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-8-Version-5.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

      License: Creative Commons<\/a>
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      \n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/4\/40\/Convert-Fractions-to-Decimals-Step-10-Version-5.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-10-Version-5.jpg","bigUrl":"\/images\/thumb\/4\/40\/Convert-Fractions-to-Decimals-Step-10-Version-5.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-10-Version-5.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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      \n<\/p><\/div>"}, Memorizing Important Decimal Equivalents of Fractions, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/4\/4e\/Convert-Fractions-to-Decimals-Step-12-Version-3.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-12-Version-3.jpg","bigUrl":"\/images\/thumb\/4\/4e\/Convert-Fractions-to-Decimals-Step-12-Version-3.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-12-Version-3.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

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      License: Creative Commons<\/a>
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      \n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/c\/c9\/Convert-Fractions-to-Decimals-Step-14-Version-3.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-14-Version-3.jpg","bigUrl":"\/images\/thumb\/c\/c9\/Convert-Fractions-to-Decimals-Step-14-Version-3.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-14-Version-3.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

      License: Creative Commons<\/a>
      \n<\/p>

      
      \n<\/p><\/div>"}.

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