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Treatise on Arithmetic, Practical and Theoretical

Treatise on Arithmetic, Practical and Theoretical


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About the Book

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. 1834 Excerpt: ...of the problem would be impossible; since there is no whole number by which the denominator of could be multiplied which would produce 18 171 CHAP. IL THE MULTIPLICATION AND DIVISION OF FRACTIONS., (241.) In the first book we have contemplated multiplication as an abridged method of addition, by which we are enabled to determine, by a short process, what number would be obtained by the addition of the same number repeated any proposed number of times. The extension which has been given to the language and notation of number in the last chapter, renders it necessary that we should enquire what effect the same extension will produce upon the operations of multiplication as already described. If we are required to determine the product of 12 multiplied by 8, the thing to be ascertained is the sum which would be obtained by the addition of 12 eight times repeated. Again: if we are required to determine the product of 12 multiplied by 9, it is necessary to find what sum would be obtained by 12 nine times repeated. In fact, the multiplicand must in this case be repeated in the addition as many times as there are units in the multiplier. Now, suppose that the multiplier, instead of being either 8 or, were 8, shall we repeat the multiplicand eight times or oftener? How many units are contained in 8 ? More than 8 units are contained in it, but less than 9: the multiplicand ought therefore to be repeated more than 8 times, but less than 9 times. The multiplier contains only a part of the ninth unit, therefore the multiplicand must be repeated only a part of the ninth time; that is to say, the whole multiplicand must not be repeated the ninth time, but only as much of it as there is of the ninth unit contained in the multiplier. Now, if the ninth uni...


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Product Details
  • ISBN-13: 9781154877991
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Edition: Abridged edition
  • Language: English
  • Returnable: N
  • Weight: 186 gr
  • ISBN-10: 115487799X
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Height: 246 mm
  • No of Pages: 96
  • Spine Width: 5 mm
  • Width: 189 mm


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