how to divide decimals in your head

For example, if you have 4.5 0.05 and you move the decimal by 2 places, you'll get 450 5. Solution: In this division, the dividend and the divisor are decimals, so we need to convert the divisor to a whole number using the following steps. The easiest way to convert a fraction to a decimal is to read the fraction as if it were a division problem, with the number on the top being divided by the number on the bottom. When we need to divide a decimal by a decimal, we need to convert the divisor to a whole number and then do the usual division. This one's not as easy. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. Find the solution, rounding to the nearest hundredth: 9.13 / 4.25. The long division of decimals can be easily done like the normal long division. The division of a decimal with a whole number is the same as the normal division. Include your email address to get a message when this question is answered. Repeat. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. Russell, Deb. How can I convert a fraction to a percent? For example: 12123 (1+2+1+2+3=9) 9 is divisible by 3, therefore 12123 is too! wikiHow is where trusted research and expert knowledge come together. For example, 0.0020 0.005 = 0.4. Place the decimal point in the quotient above the decimal point in the dividend:

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Divide, being careful to line up the quotient properly:

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

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6.7 / 10.1 = 0.7. The last 3 digits are divisible by 8, meaning 6008 is as well. 6 x 2 x 2 . You're in the right place!Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with how to divide decimals. Bring down the tenth digit. After you divide, you can check your work by multiplying the decimal by the denominator to get the numerator. Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place. When we multiply the 0.2 by 10 we get a whole number: 0.2 10 = 2. Divide decimals by 10, 100 and 1,000. 2. Start off by trying to do a division problem in your head that divides evenly. Again, place the decimal point in the quotient directly above where it now appears in the dividend, 21900:

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Now youre ready to divide. If you have more than 1 number after the decimal, keep moving the decimal until the number is whole. This article was co-authored by wikiHow staff writer. You can do this in your head, by using a calculator, or by doing long division. After this step, we can divide 547.9 15 in the usual way and we get 36.52 as the quotient. At the same time, move the decimal point in the dividend (9.13) two places to the right:

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The problem asks you to round the quotient to the nearest hundredth, so fill out the dividend with trailing zeros to three decimal places:

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Now divide, carefully lining up the quotient:

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Round the quotient to the nearest hundredth:

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\r\n","description":"Dividing decimals is similar to dividing whole numbers, except you have to handle the decimal point before you start dividing. How do you turn a mixed number into a decimal? As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links. This article has been viewed 489,832 times. If you want to convert the fraction really quickly, you can simply use a search engine on the internet to search for the answer. To start out, write the problem as usual:

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Turn the divisor (10.1) into a whole number by moving the decimal point one place to the right. For example: 43785 (4+3+7+8+5=27) 27 is divisible by 9, therefore 43785 is too! Be careful to line up the quotient properly so that the decimal point falls into place. To start out, write the problem as usual:

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Turn 0.8 into the whole number 8 by moving the decimal point one place to the right. For example, if we need to divide 324.6 100, then it can be easily done by shifting the decimal point to the left and the answer will be 3.246, In order to divide a decimal number by 1000, move the decimal point to the left by three places. This math video tutorial explains how to multiply and divide decimals the easy fast way all in your head without using a calculator. What is 6 x 40? Thus, to find the number of marbles, we need to divide the total weight by the weight of one marble: 376 0.8. Repeat this sequence as necessary. Let us understand this with an example. For example, = .5. Write the problem as usual:

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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:

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Now you can move both decimal points three places to the right. So, 1 divided by 2 would equal one half (1/2). When you visit the site, Dotdash Meredith and its partners may store or retrieve information on your browser, mostly in the form of cookies. Divisibility Tricks for Learning Math. For example, to check 4.5 0.05 = 90, check to see that 90 x 0.05 = 4.5. By Sean Conaty. 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. To divide decimals using models, first shade in the first number, your dividend. At the same time, move the decimal point in 9.1526 one place to the right. Let us understand the conditions and rules for this method using an example. At the same time, move the decimal point in the dividend (6.7) one place to the right:

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

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Now youre ready to divide:

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Round the quotient to one decimal place:

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9.13 / 4.25 = 2.15. For example, 34.286 100 = 34.286/100 = 0.34286, and 678.37 100 = 678.37/100 = 6.7837. In his spare time, he enjoys traveling and learning foreign languages.

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