The scholar's assistant, or, A plain, comprehensive, and practical system of arithmetic : to which is prefixed an introduction, containing a practical illustration of the primary rules, and of the tables of money, weights, and measures : designed for the use of schools in the United States / by the Rev. J.G. Cooper.

  • Cooper, J. G. (Joab Goldsmith), 1777-1832.
Date:
1830
Catalogue details

Licence: Public Domain Mark

Credit: The scholar's assistant, or, A plain, comprehensive, and practical system of arithmetic : to which is prefixed an introduction, containing a practical illustration of the primary rules, and of the tables of money, weights, and measures : designed for the use of schools in the United States / by the Rev. J.G. Cooper. Source: Wellcome Collection.

Provider: This material has been provided by the National Library of Medicine (U.S.), through the Medical Heritage Library. The original may be consulted at the National Library of Medicine (U.S.)

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    31. Subtract 528 from 649, how many remain? — Why so? 32. Subtract 1462 from 2762, how many remain ? — Why so? 33. Subtract 569 from 899, how many remain? — Why so ? 34. Subtract 4723 from 7924, how many remain ? — Why so? 35. Subtract 3465 from 8496, how many remain ? — Why so? 36. Subtract 14762 from 65862, how many remain? — Why so ? 37- Subtract 8450 from 9765, how many remain ? — Why so ? When the figures in the several places of the upper number, or minuend, are greater than the correspondent figures of the lower number or subtrahend, the operation is easy. All you have to do is, to take the lower figure from the upper one, beginning at the right hand figure, or unit's place, and set the difference under its proper column : and do the same with all the figures, and the work is done, as in the preceding examples. But if the lower figure is greater than the upper figure, you must add 10 to the upper figure, and from the sum take the lower figure, and set down the difference in its proper place; and, because you added 10 to the upper figure, you must add 1 to the next lower figure on the left hand, and take their sum from the upper figure, and set down the difference in its proper place. But, if it should so happen that this sum is greater than the upper figure, you must add 10 to the upper figure as you did before, and from this sum take the subtrahend, and set down the differ- ence in its proper place; and so proceed till the work is done. The reason for adding 10 to the upper figure, and only 1 to the under one or subtrahend, is, that ] in the ten's place is equal to 10 in the unit's place; and 1 in the hundred's place is equal to 10 in the ten's place ; and 1 in the thousand's place is equal to 10 in the hundred's place; and so on, increasing in a tenfold proportion in every place toward the left hand. This operation does not affect the difference of the numbers or remainder ; for it is evident, that if you add ten to the upper number, and 10 to the lower number, the difference will be the same as if nothing had been added to either. 38. Subtract 1764 from 3456, how many will remain ? Ans. 1692. Place the numbers under each other thus : 3456 the minuend. 1764 the subtrahend, 1692 the remainder.