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Some people do that so that the divisor becomes an integer under the impression that dividing by a whole number is, in some way, easier than dividing by a decimal.

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Q: When you divide a decimal by decimal why do you multiply the dividend and the divisor by the power of 10?

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The dividend is the numerator and the divisor is the denominator. Basically, you divide the top number (numerator) by the bottom number (denominator).

When dividing by decimals, the easiest way to do this is to modify the question so that there is no longer a decimal in the divisor. Just as with equivalent fractions, if we multiply the dividend and the divisor by the same number, we do not actually change the question. For example, consider 1 divided by 0.2 (ie 1 / 0.2) Start by multiplying the dividend and the divisor by 10 to remove the decimal in the divisor. This changes the problem to 10 / 2. We can now evaluate the division to give 10/2=5. In your specific case where you want to divide by 3.14, you would times both the dividend and the divisor by 100 to remove the decimal in the divisor. For example 6.28 / 3.14 = 628 / 314 = 2

To move the decimal you must move the decimal in the divisor all the way to the right to make it a whole number. Then in the dividend, you move that decimal to the right the same amount of spaces you did in the divisor.

You divide the dividend by the divisor (or the divisor 'into' the dividend) to get the quotient.

Multiplying both the dividend and divisor by a power of 10 is done to convert the decimal divisor into a whole number. This allows us to perform the division operation using whole numbers, making it easier to calculate. It maintains the overall value of the division while simplifying the computation.

Related questions

The dividend is the numerator and the divisor is the denominator. Basically, you divide the top number (numerator) by the bottom number (denominator).

Dividend if the number that you divide, divisor is the number that you divide dividend into, and quotient is the number that you get from dividing dividend into divisor. For example, in 12/3=4, 12 is the dividend, 3 is the divisor, and 4 is the quotient.

You divide the dividend by the divisor. The result is the quotient.

When dividing by decimals, the easiest way to do this is to modify the question so that there is no longer a decimal in the divisor. Just as with equivalent fractions, if we multiply the dividend and the divisor by the same number, we do not actually change the question. For example, consider 1 divided by 0.2 (ie 1 / 0.2) Start by multiplying the dividend and the divisor by 10 to remove the decimal in the divisor. This changes the problem to 10 / 2. We can now evaluate the division to give 10/2=5. In your specific case where you want to divide by 3.14, you would times both the dividend and the divisor by 100 to remove the decimal in the divisor. For example 6.28 / 3.14 = 628 / 314 = 2

To move the decimal you must move the decimal in the divisor all the way to the right to make it a whole number. Then in the dividend, you move that decimal to the right the same amount of spaces you did in the divisor.

You divide the dividend by the divisor (or the divisor 'into' the dividend) to get the quotient.

the divisor is the number you divide with the dividend

divisor Dividend ÷ Divisor = Quotient

the quotient which is the same as the dividend or divisor

Multiplying both the dividend and divisor by a power of 10 is done to convert the decimal divisor into a whole number. This allows us to perform the division operation using whole numbers, making it easier to calculate. It maintains the overall value of the division while simplifying the computation.

The divisor must always be a whole number. If it is not already, then you must multiply both the the divisor and dividend by ten until the divisor is no longer a decimal. For example, let's say you have to divide 1.0/0.5 . The divisor in this case would be 0.5 . To multiply by ten, simply move the decimal over to the right one space. That would leave you with 5.0, but since you have to do it on both sides, the final expression would look like this: 10/5 .

0.0244