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This pre-algebra math tutorial from NutshellMath offers introductory homework help in basic operations with decimals. Arithmetic operations with decimals are fundamental to a broad range of algebra problems. This tutorial presents methods and tips for adding, subtracting, multiplying and dividing decimals by hand.


As demonstrated, in adding and subtracting decimals, it is important to line up the decimals points of both numbers and add or subtract as normal. The decimal point of the answer will remain in the same place in the answer. For multiplication of decimals, the tutorial shows how to place the longer of the two numbers on top, and then multiply as if the decimal points were not there. Next, sum the number of digits to the right of the decimal point in each of the factors, and this is the number of places from the right that the decimal point should be placed in the answer. When dividing decimals, it is important to make the divisor a whole number. This can be accomplished by moving the decimal point to the right in both the dividend and divisor the same number of places until the divisor is a whole number. Once this is accomplished, divide as normal, and the decimal point in the answer will be the same as in the dividend.

Examples in this tutorial will reinforce the methods and tips presented for dealing with decimals. This instruction to basic operations with decimals is a valuable introduction to an important skill in algebraic problem solving.