General Addition
A method of adding columns of numbers and accurately checking the result without repeating the first operation. An intermediate sum, in the form of two rows of digits, is produced. The answer is obtained by taking the sum of the intermediate results with an L-shaped algorithm. As a final step, the checking method that is advocated removes both the risk of repeating any original errors and allows the precise column in which an error occurs to be identified at once. It is based on a check (or digit) sums, such as the nines-remainder method.
For the procedure to be effective, the different operations used in each stages must be kept distinct, otherwise there is a risk of interference.
Read more about this topic: Trachtenberg System
Famous quotes containing the words general and/or addition:
“... women can never do efficient and general service in hospitals until their dress is prescribed by laws inexorable as those of the Medes and Persians. Then, that dress should be entirely destitute of steel, starch, whale-bone, flounces, and ornaments of all descriptions; should rest on the shoulders, have a skirt from the waist to the ankle, and a waist which leaves room for breathing.”
—Jane Grey Swisshelm (18151884)
“But the best read naturalist who lends an entire and devout attention to truth, will see that there remains much to learn of his relation to the world, and that it is not to be learned by any addition or subtraction or other comparison of known quantities, but is arrived at by untaught sallies of the spirit, by a continual self-recovery, and by entire humility.”
—Ralph Waldo Emerson (18031882)