Algebra Tutorials!

 Saturday 13th of July

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 Dependent Variable

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Dividing Decimals by Whole Numbers

Objective Learn how to apply the division algorithm to dividing decimals.

As is the case with addition, subtraction, and multiplication, dividing decimals requires only the use of the standard algorithm together with a method for placing the decimal point. Therefore, you are not having to learn a new algorithm, just a small change to one they already know.

To divide a decimal by a whole number, perform the division as if the dividend (the number being divided) is a whole number, and place the decimal point in the quotient (the result) directly above the decimal point in the dividend.

Example

Divide 7.12 by 4.

Solution

Carry out the long division as if there is no decimal point in the dividend.

Now insert the decimal point in the quotient directly above the decimal point in the dividend.

So, the quotient is 1.78.