What do you do with remainders when dividing decimals

Dividing Decimals by Whole Numbers: Dividing decimals by whole numbers is similar to the normal division. Here the dividend is a decimal and the divisor is a whole number, so the quotient will have the number of decimals based on the decimals in the dividend. The division of decimals with a whole number is easily done by taking the following steps.

Dividing Decimals by another Decimal Number: In this division, both the dividend and the divisor are decimals and we can solve them by two methods.

In the first method, we first move the decimals of the divisor to make it a whole number, and then we move the decimals of the dividend. Let us understand this with the help of the following steps:. The second method is used when the number of digits after the decimal in the dividend is more or less than the number of decimals in the divisor.

If the dividend's decimal place is more than or equal to the divisor's decimal place:. If the dividend's decimal place is less than the divisor's decimal place: In this case, convert the decimal to a fraction. For example: 0. The long division with decimals can be easily done just as the normal long division. The following sequence of steps explains the process of long division of decimals. Example 1: Rishi has a collection of marbles that weigh 0.

How many marbles does he have if their total weight is grams? Here, the weight of one marble is equal to 0. The total weight of all the marbles together is equal to grams.

Example 2: Ishan wants to know the steps that need to be followed to find the result of 1. Can you help him with the division? Here are the steps Ishan needs to follow to find the result of 1. First, the divisor is changed to a whole number 0. Now, the division is done in the following way. Example 3: Sohan used How many did he use in one batch? Solution : To calculate the quantity of potatoes that Sohan used in one batch, we need to divide the total quantity of potatoes by the number of batches.

On performing long division, we get Therefore, Sohan used The decimal point of a decimal number moves by two places towards the left if we divide it by Here, we move the decimal point of the dividend to the left by 2 places. Decimals are the fractions that have the powers of 10 in the denominator. To divide decimal numbers we move the decimal places as many times to the left as many zeros are there in the denominator. All the four operations of addition, subtraction, multiplication, and division are done in decimals in the same way as done with any other number system.

For example: Addition: The division of a decimal with a whole number is the same as the normal division. The decimal is placed in the quotient according to the decimal of the dividend. Let us understand this with a simple example. The division of Any number to the right of a decimal point has a value less than 1, so it cannot be a whole number. However, whole numbers like 5, 11, 22 can be written as decimal numbers such as 5.

The first step in dividing decimals is to remove the decimals by multiplying or dividing with an exponent of The possible exponents of 10 are 10, , , and so on. When adding you talk about a sum, when multiplying you talk about a product. Show 1 more comment. Active Oldest Votes. Add a comment. I don't need a answer, I need a explanation.

It is not exactly equal, because that expression is actually a repeating decimal. Ross Millikan Ross Millikan k 26 26 gold badges silver badges bronze badges. My teacher says that I would do the same, so that in this problem the remainder would be 0. Would that be true? Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Upcoming Events. Featured on Meta.

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