AT To prove Addition, begin at the top of the sum, and reckon sho tigures downwards in the same manner as they were addod un wards, and it it be right, this sum total will be equal to the first: Or cut off the upper line of figures, and find the amount of the rust; then if the amount and upper line, when addou, be equal to the lolal, the work is supposed to be riglit. 2. There is another method of proof, as follows: Reject or cast out tlie nines in each row EXAMPLE. or sum of figures, and set down the re- 3 7 8 21 5:? mainders, each directly even with the figures 576 6 in its row ; find the sum of these remain- 8 7 5 5 ders ; then if the excess of nines in thic sum found as before, is equal to the excess 13 3 0 3 of nines in the sun total, the work is sup- posed to be right. 15. Add 86:35, 219-4; 7421, 5063, 2196, and 1245, toi gether. Ans. 2675 1. 16. Find the sum of 3 162, 783645, 318, 7530, and $378045. Ans. 104173020. 17. Find the sun total of 604, 4680, 98, 64, and 51. Ans. Fifty-five hundred. 18. What is the sum total of 2407-4, 16742, 34678, 10467, 124 13439? Ans. One hundred thousand. 19. Add 10:21, 3-189, 28703, 289, and 6.138, together. Ans. Forty thousand. Ans. 11111. Ansiotr, 61374177 22. Required the sum of the following numbers viz.. ****** Five hundred and sixty-eight, zu Eight thousand eight hundred and five. W. Scventy-nine thousand six hindreili Nine hundred and eleven thousand, Answer, 9999999 QUESTIONS. , 1. What number of dollars are in six bags, containing each 37542 dollars ? Ans. 225252. 2. If one quarter of a ship's cargo be worth eleven thousand and ninety-nine dollars, how many dollars is the whole cargo worth? - Ans. 44396 dols. 3. Money was first made of gold and silver at Argos, eight hundred and ninety-four years before Christ ; how long has money been in use at this date, 1814 ? Ans. 2708 years. 4. The distance from Portland in the Province of Maine, to Boston, is 125 miles ; from Boston to New Haven, 16 i miles ; from thence to New-York, 88.; from thence ti Philadelplria, 95 ; from thence to Baltimore, 102; froni thence to Charleston, South Carolina, 716; and from thenc to Savannah, 119 miles-What is the whole distance fronj Portland to Savannah? Ans, 1407 miles. 5. John, Thomas, and Harry, after counting their prize money, John hud one thousand three hundred and seventy five dollars ; Thomas had just three times as many as Joha: and Harry had just as many as Joli and Thomas both Pray how many dollars had Harry? Ans. 5500 dollars. GELEVISHERS FEDERAL MONEY. NEXT in point of simplicity, and the nearest allied to whole numbers, is the coin of the United States, or' : FEDERAL MONEY. This is the most simple and easy of all money--it'in: creases in a tenfold proportion, like whole numbers. 10 mills, (m.) make 1 cent, marked I dime, 1 dollar, 10 )..');rs, | eagie, Dollar is the money unit; all other denominations being ralued according to their place from the dollar's place.-I point or comma, called a separatrix, may be placed after che dollars to separate them from the inferior denominations; :hen the first figure at the right of this separatrix is dimes, the second figure cents, and the third mills.* ADDITION OF FEDERAL MONEY. Rule.-1. Place the numbers according to their valuc; that is, dollars under dollars, dimes under dimes, cents under cents, Sc. and procecd exactly as in whole numbers; then place the separatrix in the sum total, directly under the separating points above. . EXAMPLES. 94, 670 168, 9 3,4 200, 90 9 • 439, 089 239, 060 304, 006 742, 5'00 1.13, 005 ill, 191 2128, 860 2. When accounts are kept in dollars and cents, and no other de. Honninavons are mentioned, which is the usual mode in common rockuning, then the first two figures at the right of the separatrix or point, ijay be called so many cents instead of dimes and cents ; for the llace of dimes is only the ten's place in cents; bccausc len cents mako a dime; for example, 48, 75, forty-cight doilars, seven dimes, five cents, may be read forty-eight dollars and seventy-five cents. If the cents are less than ten, place a cipher in the ten's place, or price of dimes.-Example. Write down four dollars and 7 cenis. Thus, $4, 07 cls. * It may be observed, that all the figures at the left hand of the separatrix are dollars ; or you may call thc first ligure dollars, and the other cagles, uc. Thus any sum of this money may be read ditterently, either wholly in the lowest denomination, or partly in the higher, and partly in the lowesí; for example, 37 54, may be either read 3754 cents, or 375 dimes and 4 cents 37 vollars 5 dimes and 4 cents, or 3 eagles 7 dollars 5 dimes and 4 cents. EXAMPLES. 1. Find the sum of 304 dollars, 39 cents; 291 dollars, 1. cents; 136 dollars, 99 cents ; 12 dollars and 10 cents. ( 304, 39 136; 99 Thus, 8. What is the suni total of 127 dols. 19 cents, 278 dols. 19 cents, 34 dols. 7 cents, 5 dols. 10 cents, and 1 dol. 99 cents ? dus. $446, 54 cts. 9. What is the sum of 378 dols. I ct., 136 dols. 91 cts.,, 344 dols. 8 cts., and 365 do!s. ? Ans. $1221. 10. What is the sum of 46 cents, 52 cents, 92 cents, and 10 cents ? Ans. $2. 11. What is the sum of 9 dimes, 8 dimes, and 80 cents ? Ans. $21. |