To prove Addition, begin at the top of the sum, and reckon the figures downwards in the same manner as they were added upwards, and if 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 rest ; then, if the amount and upper line, when added, be equal to the total, the work is supposed to be right. Excess of g's. IQ VON 2. There is another method of proof, as follows : Reject or cast out the nines in each EXAMPLE row or sum of figures, and set down the 378 2 2 remainders, each directly even with the 5 7 6 6 6 figures in its row ; find the sum of these 875 5 remainders ; then is the excess of nines in the sum found as before, is equal to 18 30 3 the excess of nines in the sum total, the work is supposed to be right. 15. Add 8635, 2194,7421, 5063, 2196, and 1245 together. Ans. 26754. 16. Find the sum of 3482, 7836-15, 318, 7530, and 9678045. Ans. 10473020. 17. Find the sum total of 604, 4680, 98, 64, and 54, Ans. Fifty-five hundred. 18. What is the sum total of 24674, 16742, 34678, 10467, and 13439 ? Ans. One hundred thousand. 19. Add 1021, 3489, 28763, 289, and 6438, together. Ins. Forty thousand. 20. What is the sum total of the following numbers, viz. 2340, 1066, 3700, and 4005? Ans. 11111. 21. What is the sum total of the following numbers, viz. Nine hundred and forty-seven, Answer, 61374177 22 Required the sum of the following numbers, viz. Five hundred and sixty-eight, Answer, 9909999 QUESTIONS. 1. What number of dollars are in six bags, containing each 37542 dollars ? Ans. 225252. 2. If one qnarter of a ship's cargo be worth eleven thousand and ninety-nine dollars, how many dollars is the whole cargo worth? Ans. 44396. 3. Money was first made of gold and silver at Argos, eight lindred 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 NewHaven, 162 miles; from thence to New York, from thence to Philadelphia, 95 ; from thence to Baltimore, 102 ; from thence to Charleston, South Carolina, 716 ; and from thence to Savannah, 119 miles—What is the whole distance from Portland to Savannah ? Ans. 1407 miles. 5. John, Thomas, and Harry, after counting their prize money, John had one thousand three hundred and seventy-five dollars ; Thomas had just three times as many as John ; and Harry had just as many as John and Thomas both-Pray how many dollars had Harry? Ans. 5500 dollars. 88 ; 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 increages in a tenfold proportion, like whole numbers. 10 Mills, (m.) make 1 cent, marked d. 1 dollar, 10 dollars, 1 Eagle, Dollar is the money unit; all other denominations being valued according to their place from the dollar's place. A point or comma, called a separatrix, may be placed after the dollars to separate them from the inferior tions; then 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 value ; that is, dollars under dollars, dimes under dimes, cents under cents, &c. and proceed exactly as in whole numbers ; then place the separatrix in the sum total, directly under the separating points above. EXAMPLES. $ 8 365, 54 1 439, 304 136, 5 1 4 487, 06 0 416, 390 125, 09 0 94, 67 0 168, 9 3 4 200, 909 439, 080 239, 0 6 0 304, 00 6 742, 5 0 9 143, 00 5 111, 191 d. c. in 2. When accounts are kept in dollars and cents, and no other denominations are mentioned, which is the usual mode in common reckoning, then the two first figures at the right of the separatrix or point, may be called so many cents instead of dimes and cents ; for the place of dimes is only the ten's place in cents ; because ten cents make a dime ; for example, 48, 75, forty-eight dollars, seven dimes, five cents, may be read forty-eight dollars and seventy-five cents. * It may be observed that all the figures at the left hand of the separatrix are dollars : or you may call the first figure dollars, and the other eagles, &c. Thus any? gum of this money may be read differently, either wholly in the lowest denomination, or partly in the higher, and partly in the lowest : for example, 37 54, may be either read 3754 cents, or 375 dimes and 4 cents, or 37 dollars, 5 dimes and 4 cents, or 3 eagles 7 dolls. o dimes, and 4 cents. If the cents are less than ten, place a cypher in the ten's place, or place of dimes.-Erample. Write down four dollars and 7 cents. Thus, $4, 07 cts. EXAMPLES. 1. Find the sum of 304 dollars, 39 cents ; 291 dollars, 9 cents; 136 dollars, 99 cents ; 12 dollars and 10 cents. 304, 39 291, 09 Sum, 744, 57 Seven hundred forty-four dollars and fisty-seven cents. (2.) (3.) (4.) &. cts. $. cts. %. cts. 0, 99 364, 00 3287, 80 0, 50 21, 50 1729, 19 0, 25 09 4249, 99 0, 75 0, 99 140, 01 8, _ 8. What is the sum total of 127 dols. 19 cents, 278 dols. 19 cents, 34 dols. 7 cents, 5 dols. 10 cents, and I dol. 99 cents ? Ans. $446, 54 cto. |