Text-Book of Arithmetic, for the Use of Teachers - Bookswagon
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Text-Book of Arithmetic, for the Use of Teachers

Text-Book of Arithmetic, for the Use of Teachers


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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. 1852 Excerpt: ...But when the integral part of a given factor is large, it is generally expedient to find the entire product by means of two partial products: thus, for the 16th Exercise--. 8375ft -x 435 = 8375 x 435 + $f X 435. 8375 x 435 = 3643125 Tu X V = s ' = 304i Note--It will be useful for the pupil to recognise readily, that when a fraction is multiplied by a number equal to the denominator, the product is equal to the numerator; thus, 4 times f is 3. EXERCISES. 10. Multiplication of Vulgar Fractions. (l)i x-rV; (2)fx-; (3)x-?x (4) f of A X i?; (5) fV of +f. of H of TV (6)ix5; (7) X4; (8) X 3 (9)iXXfx3; (10)2x4f; Division of Vulgar Fractions. Kequired to divide f by 3. If by this it is meant to divide f into 3 equal parts, then each part is just 1 of j-, or f. If the meaning is, to find how often 3 is contained in f, then as 3 is contained in 6 exactly 2 times, therefore in the 7th part of 6 it is contained the 7th part of 2 times, or f of a time. In the former case the answer is-f of a unit, in the latter case of once. But the best general form of illustrating fractional division is by conceiving the dividend and divisor to have a common denominator equal to the product of the given denominators. Thus, S-Hi = +-i-. = 21-f-9 = 21. t-r-t = n+H = 40-J-42 = -. In these examples, it is evident that there is no necessity to express the common denominator, just as there is no necessity to express the common denomination of sixpences or pence, to which we might reduce 20. 10. and 12. 6d. in order to find how often the latter sum is contained in the former. Hence the rule for fractional division may be thus stated: --Multiply the dividend by the reciprocal of the divisor, i. e. by the divisor inverted. Accordingly, 4-i = i X = $ = I. When Mixed Nu...


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Product Details
  • ISBN-13: 9781130582345
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 36
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1130582345
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 82 gr


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