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The addition of decimals is related to students' work with whole number addition, with attention paid to place values so that students understand the reasoning behind lining up decimal points. Students are not instructed to compute an average by "adding up the items, and dividing by the number of items" because it is judged to be too complex ...
If necessary, simplify the long division problem by moving the decimals of the divisor and dividend by the same number of decimal places, to the right (or to the left), so that the decimal of the divisor is to the right of the last digit. When doing long division, keep the numbers lined up straight from top to bottom under the tableau.
In abstract algebra, given a magma with binary operation ∗ (which could nominally be termed multiplication), left division of b by a (written a \ b) is typically defined as the solution x to the equation a ∗ x = b, if this exists and is unique. Similarly, right division of b by a (written b / a) is the solution y to the equation y ∗ a = b ...
To change a common fraction to a decimal, do a long division of the decimal representations of the numerator by the denominator (this is idiomatically also phrased as "divide the denominator into the numerator"), and round the answer to the desired accuracy. For example, to change โ 1 / 4 โ to a decimal, divide 1.00 by 4 (" 4 into 1.00 ...
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