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. 1749 Excerpt: ...fo many places toward the left as there are ciphers in the divifor. For example: If 17.28 were to be divided by 10 the quotient will be 1.728: by 100 =.1728: by 1000 =.01728: by 10000 ==.001728. II. To Abbreviate dwilioa tofo many faces as may fervt the furfofe, Mr. Ward (p. 68) gives us an expedient: but as the attendances in the execution of it are not a little encumbering; and the way of dividing, which I have propofd will bring the operation into lefs compafs than his contracted form: it would be a fault to give z detail of it here. III. The Remainder, after divifion, is neglefted in the aj plication of decimals: though it is certain that, where there is a remainder, the divifion is not perfect The deficiency, in this cafe, depending on the true value of the remainder, Mr Malcolm (p. 144) has ihown us, as a part of the theory fit to be known, firft how that deficiency is to be found; and then what is to be added to the quote already found, to make the complete quote. For example: The of a pound, What? Anfw. (I) 5 (thenumer.) x 20 /. to-wit, i/.-or the integer in the next lower denomination) =: ico-f-7 (thedenom.) 14. remains to-wit, of a » T (hilling. (II) Then d. (to value that) 2 x 12 (i/. to-wit, u; j. the next lower de-an nomination) ==: 24 or-7-7=3: remains to-wit, f of a penny. (Ill) 3,x 4 (q. to-wit, i d = 12-i-7 = i q. and f of a farthing; i. if. ahnoft-an Other..714 of a pound, What? Anfw. Multiply the decimals, as in the margin; the value will appear to be nearly the fame as that of a f. V. Tables note b. The great Advantage, propofd by the ufe of decimal fractions, is a more Ample and eafy operation than-wliat vulgar fraftions (taken, either in their proper form, or as mixt integers) do require. How the application is made, for anfwering...
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