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Elementary Arithmetic, with Brief Notices of Its History

Elementary Arithmetic, with Brief Notices of Its History


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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. 1876. Excerpt: ... must be observed also in finding the difference of two sums of money.1 The object of multiplication is to find the sum or product by a short and simple process which will render repeated additions unnecessary. The definition is strictly applicable to all abstract numbers, and to concrete numbers when the multiplier is an abstract number. In all other cases, the meaning of the product must be modified to suit particular cases, and at the same time made to coincide with the definition in all points which the factors possess in common. It has been seen (Sect. VI. Art. 2.) that the product of two abstract numbers, 3 and 5, is 15, an abstract number consisting of abstract units. And conversely, if 15 be divided by 3, the quotient is 5, an abstract number. If, however, 5 denote 5s. a concrete number, then the product 5s. x 3 = 15s. a concrete number; and conversely, 15s.-r-3 = 5s. a concrete number.2 But 15s.-h 5s. = 3, an abstract number, denoting that 5s. is contained 3 times in 15s. Also if 3 denote 1 Ex. To find the difference between 79 8s. 6Jd. and 53 12s. 9Jd. s. d. 79 8 6i 53 12 9j 25 15 8 difference. First. 2 farthings cannot be taken from 1 farthing: add 4 farthings to 1 farthing, then 2 farthings taken from 5 farthings leave 3 farthings; reserve the f d. Secondly. 1 penny added to 9 pence make 10 pence; which cannot be taken from 6 pence; add 12 pence to 6 pence, .then 10pence taken from 18 pence leave 8 pence; reserve the 8d. Thirdly. 1 shilling added to 12 shillings make 13 shillings, but 13 shillings cannot be taken from 8 shillings: add 20 shillings to 8 shillings, then 13 shillings taken from 28 shillings leave 15 shillings; reserve the 15s. Fourthly. 1 pound added to 3 pounds make 4 pounds, and 4 pounds taken from 9 pou...


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Product Details
  • ISBN-13: 9781154149340
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 160
  • Spine Width: 9 mm
  • Width: 189 mm
  • ISBN-10: 115414934X
  • Publisher Date: 01 Feb 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 299 gr


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