how to divide decimals in your head

how to divide decimals in your head

Teachers, parents/guardians, and students from around the world have used this channel to help with math content in many different ways. How to multiply in your head - BBC Bitesize E.g., all numbers ending in 0, 2, 4, 6, or 8. Line up the quotient carefully so the decimal point falls into place:

\r\n $\"image5.jpg\"$ \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.

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Practice questions

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Divide these two decimals: 9.345 / 0.05 = ?
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Solve the following division: 3.15 / 0.021 = ?
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Perform the following decimal division, rounding to one decimal place: 6.7 / 10.1.
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Find the solution, rounding to the nearest hundredth: 9.13 / 4.25.
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\r\nFollowing are answers to the practice questions:\r\n

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9.345 / 0.05 = 186.9. Multiplying by 10 is easy, we just shift one space over like this: 6.40.4 is exactly the same as 644
","authors":[{"authorId":9399,"name":"Mark Zegarelli","slug":"mark-zegarelli","description":"
Mark Zegarelli is an instructor and math and test prep tutor in New Jersey. There are 11 references cited in this article, which can be found at the bottom of the page. To convert fractions to decimals, look at the fraction as a division problem. For example, with 43.52 the decimal will move 2 places so you get 4352. "Divisibility Tricks for Learning Math." Dividing decimals involves a few simple steps. If the sum is divisible by 3, so is the number. Let us understand this using an example. Repeat the process for larger numbers. Dividing decimals means dividing a decimal number by another decimal number, or dividing a whole number by a decimal number as the case may be. Simply move the decimal point to the right 2 places. How to Do long division in your head Math :: WonderHowTo At the same time, move the decimal point in the dividend (6.7) one place to the right:
\r\n $\"image14.jpg\"$ \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 $\"image15.jpg\"$ \r\n
Now youre ready to divide:
\r\n $\"image16.jpg\"$ \r\n
Round the quotient to one decimal place:
\r\n $\"image17.jpg\"$
\r\n
9.13 / 4.25 = 2.15. At the same time, move the decimal point in the dividend (9.13) two places to the right: The problem asks you to round the quotient to the nearest hundredth, so fill out the dividend with trailing zeros to three decimal places: Now divide, carefully lining up the quotient: Round the quotient to the nearest hundredth: 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. It involves the division in which decimal numbers are used. This article has been viewed 489,832 times. By Sean Conaty. ThoughtCo, Apr. It is a basic rule in math that multiplying anything by one does not change its value. Multiply the whole number by the denominator, then add the result to the numerator to get the new numerator (e.g., 2 2/3 = 8/3). Place the decimal point in the quotient above the decimal point in the dividend:
\r\n $\"image11.jpg\"$ \r\n
Divide, being careful to line up the quotient properly:
\r\n $\"image12.jpg\"$ \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
6.7 / 10.1 = 0.7. 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
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Sample questions
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1. \r\n
  Divide the following: 9.152 / 0.8 = ?
  \r\n
  11.44. Sort by: Top Voted Questions Tips & Thanks Want to join the conversation? The last 3 digits are divisible by 8, meaning 6008 is as well. Now, let us learn how to divide decimals by decimals. Double the 7 to get 14. For example, if we need to divide 8934.5 1000, then it can be easily done by shifting the decimal point to the left and the answer will be 8.9345, Step 1: First, we will convert the divisor to a whole number 0.09 100 = 9, Step 2: Then, the dividend will also be multiplied with 100: 1.683 100 = 168.3. % of people told us that this article helped them. As a small thank you, wed like to offer you a $30 gift card (valid at GoNift.com). Then, we will multiply the dividend also by 10 to get 12.5 10 = 125. If you want to convert the fraction really quickly, you can simply use a search engine on the internet to search for the answer. Then we bring down the next number and repeat the process. So, put 1 in the quotient and write 4 below 6. 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. If your divisor is a whole number, you don't need to move the decimal. as we did the move for both numbers. 4.6M views 9 years ago Mental Multiplication made easy This mental multiplication trick uses the idea of a third number - a base number - to help us multiply two numbers in your head. Convert the divisor to a whole number by multiplying by the powers of 10. By using this service, some information may be shared with YouTube. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/b\/bb\/Divide-Decimals-Step-1-Version-2.jpg\/v4-460px-Divide-Decimals-Step-1-Version-2.jpg","bigUrl":"\/images\/thumb\/b\/bb\/Divide-Decimals-Step-1-Version-2.jpg\/aid473391-v4-728px-Divide-Decimals-Step-1-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"
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  \n<\/p><\/div>"}. Turn the divisor (the number youre dividing by) into a whole number by moving the decimal point all the way to the right. The fraction 2/3, for example, can also be stated as 2 divided by 3. Use it to try out great new products and services nationwide without paying full pricewine, food delivery, clothing and more. First we do the calculation without the decimalpoint: Now put the decimal point in the answer directly above the decimal point in the dividend: The divisor (7) is already a whole number, so no need for any moves. However, whole numbers like 5, 11, and 22 can be written as decimal numbers such as 5.0, 11.0, 22.0. 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. "Divisibility Tricks for Learning Math." Bring down the tenth digit. Russell, Deb. Find out what the sum is. To multiply two fractions, simply multiply straight across. Dividing Decimals (Division of Decimals) - Definition, Steps and Examples Voc pode alterar o idioma do udio no menu Configuraes. {"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>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/e\/eb\/Convert-Fractions-to-Decimals-Step-3-Version-6.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-3-Version-6.jpg","bigUrl":"\/images\/thumb\/e\/eb\/Convert-Fractions-to-Decimals-Step-3-Version-6.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-3-Version-6.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"
  License: Creative Commons<\/a>
  \n<\/p>
  
  \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>
  \n<\/p>
  
  \n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/a\/a1\/Convert-Fractions-to-Decimals-Step-5-Version-6.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-5-Version-6.jpg","bigUrl":"\/images\/thumb\/a\/a1\/Convert-Fractions-to-Decimals-Step-5-Version-6.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-5-Version-6.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"
  License: Creative Commons<\/a>
  \n<\/p>
  
  \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":"
  License: Creative Commons<\/a>
  \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>
  \n<\/p>
  
  \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>
  \n<\/p>
  
  \n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/9\/98\/Convert-Fractions-to-Decimals-Step-9-Version-4.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-9-Version-4.jpg","bigUrl":"\/images\/thumb\/9\/98\/Convert-Fractions-to-Decimals-Step-9-Version-4.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-9-Version-4.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"
  License: Creative Commons<\/a>
  \n<\/p>
  
  \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":"
  License: Creative Commons<\/a>
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  \n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/a\/a2\/Convert-Fractions-to-Decimals-Step-11-Version-5.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-11-Version-5.jpg","bigUrl":"\/images\/thumb\/a\/a2\/Convert-Fractions-to-Decimals-Step-11-Version-5.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-11-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":"
  License: Creative Commons<\/a>
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  \n<\/p><\/div>"}, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/5\/5c\/Convert-Fractions-to-Decimals-Step-13-Version-2.jpg\/v4-460px-Convert-Fractions-to-Decimals-Step-13-Version-2.jpg","bigUrl":"\/images\/thumb\/5\/5c\/Convert-Fractions-to-Decimals-Step-13-Version-2.jpg\/aid1354478-v4-728px-Convert-Fractions-to-Decimals-Step-13-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"
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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>
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  \n<\/p><\/div>"}. 965, 1351,966, 1352,967, 1353, 3467, 3468, 3469, 3470. Dividing whole numbers to get a decimal (video) | Khan Academy Dividing whole numbers to get a decimal CCSS.Math: 6.NS.B.3 Google Classroom About Transcript Sal divides 6335. We just need to check if the divisor is a whole number or a decimal number. Step 2: Place the decimal point in the quotient above the decimal point of the dividend. One slice of the whole pizza would be represented by the numerator "1". To start out, write the problem as usual:
  \r\n $\"image0.jpg\"$ \r\n
  Turn 0.8 into the whole number 8 by moving the decimal point one place to the right. For example, 56.34. 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
  \r\n
  Divide the following: 9.152 / 0.8 = ?
  \r\n
  11.44. 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. Here, the weight of one marble is equal to 0.8 grams. To start out, write the problem as usual:
  \r\n $\"image6.jpg\"$ \r\n
  Turn the divisor (0.05) into a whole number by moving the decimal point two places to the right. Just be careful to line up the quotient properly so that the decimal point falls into place.
  \r\n $\"image2.jpg\"$
  \r\n \t
  \r\n
  Divide the following: 21.9 / 0.015 = ?
  \r\n
  1,460. Set up the problem as usual:
  \r\n $\"image3.jpg\"$ \r\n
  Notice that two trailing zeros are attached to the dividend because you need to move the decimal points in each number three places to the right. Put your decimal point in the quotient directly above where it falls in 91.25: Now youre ready to divide. Here, we move the decimal point of the dividend to the left by 2 places. At the same time, move the decimal point in the dividend (9.13) two places to the right:
  \r\n $\"image19.jpg\"$ \r\n
  The problem asks you to round the quotient to the nearest hundredth, so fill out the dividend with trailing zeros to three decimal places:
  \r\n $\"image20.jpg\"$ \r\n
  Now divide, carefully lining up the quotient:
  \r\n $\"image21.jpg\"$ \r\n
  Round the quotient to the nearest hundredth:
  \r\n $\"image22.jpg\"$
  \r\n
  ","description":"Dividing decimals is similar to dividing whole numbers, except you have to handle the decimal point before you start dividing. For example: 0.0020 0.005 = 0.0000100. 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. Grace Imson is a math teacher with over 40 years of teaching experience. Step 2: Now, we have to divide the decimal number's whole number part by the divisor. Now, ignore the decimal point in the dividend and use Long Division: Put the decimal point in the answer directly above the decimal point in the dividend: Have a look at these Decimal Division Animations for further help. Write the problem as usual:
  \r\n $\"image9.jpg\"$ \r\n
  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:
  \r\n $\"image10.jpg\"$ \r\n
  Now you can move both decimal points three places to the right. We will divide 337.7 5 in the following way. How to Multiply Decimals in Your Head Quickly. To start out, write the problem as usual:
  \r\n $\"image13.jpg\"$ \r\n
  Turn the divisor (10.1) into a whole number by moving the decimal point one place to the right. Place the decimal point in the quotient directly above where it now appears in the dividend:
  \r\n $\"image7.jpg\"$ \r\n
  Now youre ready to divide. How many marbles does he have if their total weight is 376 grams? All material is absolutely free.
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