Decimal Arithmetic Made Perfect; Or, the Management of Infinite Decimals Displayed. Being the Whole Doctrine of the Arithmetic of Circulating Numbers, Explained by Many New and Curious Examples in Addition, Subtraction, Etc. to Which Is Prefixed, an Histo (Paperback)

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. 1742 Excerpt: ...Addition only, the moft eafy of all Operations: and to do it you fee it required but 23 Figures in the whole Work; whereas by the ufual and common Method of Divifion, befides a careful Attention, it would coft the Practitioner not lefs than 238 Figures to obtain the Anfwer. The Reafon why 2 under the 5 in the laft Column is there placed, is, becaufe the Sum of that Column is 292230, which Sum (hould have been added to the Figures in the next Right-hand Column, if any; but there being no neceflicy for more Figures, the Units, in the Place of 100's of Thoufands, muft be placed as above; elfe we mould want a true Remainder, or a juft Mixt Quotient. The two, o's above are placed in the laft Column, to fupply the Defect. Had there been more o's placed, in order to have had more Columns, the Circulate 9988 would have been as oft repeated, therefore it would have been needlefs to have annex'd more o's. Example (3.) Divide 3501,23022 &V. where 2 would infinitely repeat, by 99. Quot. 35, 36 59 61 84 06 28 50 72 95 17 39 61 84 In this Example I placed 22 at pleafure, in order to find where about the Quotient would produce a Circulate; and I found it as above mark'd off. The Example (4.) Divide 62952937047 by 999999. Operation. 629529 1 37o47, o I 629529 Quot. 62952,9 999999 which is 62953 compleat for its Quotient. Example (5.) Divide 123333332211 by 999. Operation. Which is 123456789 compleat for its Quotient. 999 For 12345678 is equal to it. 999 Quot. 2465,53 243243 243243 "Which is 2465,5324 I have wrought this Example at large, that you may readily fee that the 324 in its Quotient would infinitely repeat. JV. B. What the Quotient would be, when the Dividend confifts of a lefler Number, or of the fame Number of Places of Figures with its Divifor. See Art 14...