may occur in both operations, which shall balance each other. How is the work of addition generally proved ? Is this method of proof infalliblar • Why not? 8. Add 123405, 2354210, 794327, and 36547, together. Ans. 3308489. 9. Add 275602, 345607, 4567801, and 365, together. Ans. 5189375. 10. Add 100375, 406780, 4673005, 4112, and 2478, together. Ans. 5186750. 11. Add 1034001 78954, 379205, 367001, and 45637, together. Ans. 1904798. 12. What is the sum of the following numbers: Three thousand six hundred and fifty, seven thousand eight hundred and thirty-two, eleven thousand five hundred and sixty-seven, ten thousand and fifty-six, four hundred and seventy-two ? Ans. 33577. 13. What is the sum of the numbers, four thousand three hundred and seventy-three, three thousand one liin. dred and fourteen, one thousand two hundred and twenty. three, six hundred and fifty-four ? Ans. 9364 14. Find the number of days in a year, the days of the respective months being as follows: January,31, February, 28, March, 31, April, 30, May, 31, June, 30, July,31 August, 31, September, 30, October, 31, November, 30 no cember 31. Ans. 365 days. 15. A man drew five loads of bricks; in the first load h had 1209, in the second load 1453, in the third load 1101 in the fourth load 1212, and in the fifth load 1303. How many bricks were there in all? Ans. 6278 bricks. 16. If there are shipped from the United States, 15624 barrels of flour to Sweden, 250 barrels to Holland, 205154 harrels to England, 6401 to Texas, 19602 to Mexico, what is the whole amount ? Ans. 247031 barrels. 17. In 1837 the United States exported 100232 hogsheads of tobacco; in 1838 they exported 100592; in 1839 they exported 78995; in 1840 they exported 119484; in 1841 they exported 147828. How many hogsheads of tobacco were exported during these five years? Ans. 547131 hogsheads. 18. If the cotton crop of the United States is estimated at 1360532 bales for the year 1839, 2177835 bales for the year 1840, 1634945 bales for the year 1841, and 1683574 bales for the year 1842, how many bales will the four. years' crops amount to? Ans. 6856886 bales. 19. In 1839 the Onondaga Springs produced 2864718 bishels of salt; in 1840'they produced 2622305 bushels in 1841 they produced 3340769 bushels; in 1842 they produced 2291903 bushels. What is the whole number of bushels during the above four years ? .. Ans. 11119695 bushels, 20. The United States exported in bullion and specie, n 1838, 3508046 dollars; in 1839, 8776743 dollars ; in 840, 8417014 dollars ; in 1841, 10034332 dollars. How auch was exported during these four years ? Ans. 30736135 dollars. 21. Amount of tea consumed in the United States, during 1842, was 13482645 pounds; during 1843, it was 12785748 pounds; in 1844, it was 13054327 pounds ; in 1845, it was 17162550 pounds; and in 1846 it was 16891020 pounds. What was the whole number of pounds during these five years ? Ans. 73376290 pounds. 22. The amount of coffee consumed in the United States, during the year 1842, was 107383567 pounds; in 1843, it was 85916666 pounds; in 1844, it was 149711820 pounds; in 1845, it was 94358939 pounds, and in 1846 it was 124336054 pounds. What was the whole number of pounds during these five years ? Ans. 561707046 pounds. 23. The number of acres of public land sold by the United States government, in the year 1841, was. 1164796 acres; in the year 1842, it was 1129217 acres; in 1843, it was 1605264 acres; in 1844, it was 1754763 acres ; and in 1845 it was 1843527 acres. What was the whole n:umber of acres sold during these five years ? Ans. 7497567 acres. 24. The United States revenue for letter postage, under the new law, was as follows: for the year 1842, it was 3953315 dollars; for 1843, it was 3738307 dollars; for 1844, it was 3676162 dollars; and for 1845 it was 3660231 dollars. What was the whole number of dollars dunng these four years ? Ans. 15028015 dollars. 25. In 1843, the amount of gold coined at the Unii States mint and branches, was as follows: At Philadel. phia, 4062010 dollars; at the branch at New Orleans, 3177000 dollars; at the branch at Dahlonega, 582782 dollars; at the branch at Charlotte, 287005 dollars. How many dollars of gold coined in all ? Ans. 8108797 dollars. The sum of the numbers in each row of the following table, whether taken vertically or horizontally, or from corner to corner, is 24156. Let the pupil be required to make these 24 distinct additions.* 2448 288 2088 4284 1728 3924 1368 3564 1008 2808 648 684 2484 324 2124 4320 1764 3960 1404 3204 10442844 2880 720 2520 360 2160 4356 1800 3600 1440 324010804 1116 2916 756 2556 396 2196 3996 1836 3636 1476 3276 15483348 1188 2988 432 2628 72 2268 4068 1908 3708 1980 3780/1224/3420 864 3060 5042700) 144 2340 4140 4176 1620 3816 3816 12603456 900 3096 540 2736 180 2376 • This table is formed by multiplying the numbers in the magic square of 11, bv % The quantity and value of teas and coffee consumed annually, from 1821 to 1846, in the United States, were as follow : 1821 4586223 $1080264 1822 5305588 1160579 1823 6474934 1547695 1824 7771619 2224203 1825 7173740 2346794 1826 8482483 3443587 1827 3070885 942439 1828 6289581 1771993 1829 5602795 1531460 1830 6873091 1532211 1831 4656681 1057528 | 1832 8627144 2081339 1333 12927043 4775081 1834 13193553 5422275 1835 | 12331638 3594293 1836 | 14484784 4472342 1837 14465722 5003401 1838 11978744 2559546 1839 7748028 1781824 1840 16860784 4059545 10772087 3075332 1842 13482645 3567745 1843 | 12785748 3405627 1844 13054327 3152225 1845 17162550 4809611 1846 | 16891020 3983337 11886063 18515271 16437045 20797069 20678062 25734784 28354197 39156733 33049695 38362687 75700757 36471241 75057906 44346505 91753002 77647300 76044071 82872633 99872517 86297761 109200247 107383567 85916666 149711820 94358939 124336054 $2402311 3899042 2835420 2513950 1995892 2710536 1130607 3695241 3052020 3180479 5796139 2516120 7525610 4473937 9381689 7667877 7335506 7138010 9006685 7615824 9855273 8447851 5923927 9054293 5380532 7802894 1841 TOTALS. This table wili afford material for as many examples in addition as the teacher may desire. Thus, he may require |