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New System of Commercial Arithmetic

New System of Commercial Arithmetic


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1830 Excerpt: ... for 24-i-6 = 4; but 6 continually subtracted from 24 till 0 remains, the number of these subtractions will be 4, which is the same as the quotient of 24---6. This method, although simple in itself, yet, in general, the labour attending such subtractions would be intolerable, and division was invented to abridge the process. According to division, the dividend is the number from which the subtractions are made, the divisor is the number to be subtracted, the quotient is the number of times the divisor can be subtracted from the dividend, and if any thing remain after division, it is the same as would remain after subtracting the divisor from the dividend so often as the number in the quotient represents. But it is evident we may diminish the number of subtractions; for, if we multiply the number to be subtracted, by any other number which gives a product equal to, or less than the number from which the subtractions are to be made, and subtract this product, the remainder will be the same as if we had subtracted the given number as often as the number by which it was multiplied represents. If the remainder is still greater than the number to be subtracted, we may again multiply and subtract the product as before, and so on till 0, or a number less than the number to be subtracted remains. This is the basis on which division is founded, and may serve as a reason for the general rule. I shall illustrate this principle by an example. Let it be required to divide 4298689 by 576. Method by subtraction. By the general rule. Divisor. Dividend. Quotient. 576)4.298689(7000 576)4298689(7463 576 x 7000 = 4032000 4032 1st Remainders 266689 400 2666 576 x 400 = 230400 2304 3d Remainder = 1729 3 1729 576 X 3 = 1728 7463 sum of quotients. 1728 Sum of 7463 multipliers. 1 = ...


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Product Details
  • ISBN-13: 9781130441291
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 134
  • Spine Width: 7 mm
  • Width: 189 mm
  • ISBN-10: 1130441296
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 254 gr


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