How to divide by decimals without a calculator

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Last Updated: February 7, Fact Checked. Grace Imson is a math teacher with over 40 years of teaching experience. She has taught math at the elementary, middle, high school, and college levels. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed , times. If a few decimals are making division challenging for you, simplify the process by learning how to move the decimals. By moving the decimal of the divisor, you'll be dividing by a whole number.

How to divide by decimals without a calculator

Hey, guys! Welcome to this video on dividing decimals! Dividing decimals may not seem like the most useful tool, but it can actually come in handy for several situations in everyday life. Now, you may be wondering when dividing decimals would ever be useful. How many gallons of gas should you ask for? The local store sells large beams of wood that are 28 feet long. At the store, you wonder: how many pieces of wood can you cut out of each beam? Your first step would be to write out the problem as you would any other long division problem. It should look like this:. When solving this problem, it would be significantly easier to work with whole numbers instead of numbers with decimals.

Then, use long division to divide as normal. So lets do that. Well it does not go at all, so we can move on to

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July 1, by Anthony Persico. Are you ready to learn how to convert a fraction to a decimal? Click here to learn how to do the opposite and convert a decimal to a fraction. Before you learn an easy way to convert a fraction to a decimal with and without a calculator , you need to understand what decimals and fractions are:. A decimal number is used to represent a non-whole number where a decimal point is used followed by digits that represent a value that is smaller than one. A fraction represents a part of a whole number. A fraction is a ratio between the upper number the numerator and the lower number the denominator. The numbers are stacked vertically and separated with a bar.

How to divide by decimals without a calculator

Welcome to Omni's decimal calculator , where we'll learn all about adding, subtracting, multiplying, and dividing decimals, as well as about decimal exponents, square roots of a decimal, and logarithms with decimals. The topic is not too difficult: it all boils down to simple arithmetic, but we'll go through it all nice and slow so that we don't miss a thing. For simplicity, we've split the text below into sections, one for each operation available in our decimal calculator. To select this option in the decimal calculator, choose Addition in the Operation variable field. When adding and subtracting decimals, the most important rule is to keep track of the decimal dot. To be precise, the operation boils down to doing the same thing we do when adding integers, as long as the two numbers have the same number of digits after the decimal dot. And if they don't, we force them to.

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About This Article. If there is a remainder when dividing decimals, add zeroes to the end of the dividend and keep dividing until there is no remainder. Just like that. Divide decimals by whole numbers the same way you divide whole numbers by each other, but put the decimal point in the answer at the same place it is at in the original number. So lets think about it a little bit. For example, with Divide decimals using long division, being sure to multiply by a product of 10 if there is a decimal in the divisor. How to. Move the decimal for the dividend if necessary. You Might Also Like.

Do long division with decimal numbers and see the work for the calculation step-by-step. Enter positive or negative decimal numbers for divisor and dividend and calculate a quotient answer. Note that this is not the same as rounding to a specific number of decimal places.

And we know that when we have a fraction like this we're not changing the value of the fraction if we multiple the numerator and the denominator by the same quantity. Calculate the problem to get the quotient. Starting with 3. No account yet? Watch Articles. For example, with For example, when dividing So once again we can move the decimal here, two to the right. Having the ability to divide numbers with decimals would help you in these situations. Follow Us. Then, move the decimal in the dividend the same number of places to the right. And so what could we multiply this denominator by to make it a whole number? A To divide decimals using models, first shade in the first number, your dividend. So we're not changing the value of this fraction. Then check your work to ensure that you've placed the decimals properly and gotten the correct answer.