ARITHMETIC. PART 1. ADDITION. THE student may perform the following examples in his mind. 1. James has 3 cents and Charles has 5; how many have they both ? 2. Charles bought 3 bunns for 16 cents, a quart of cherries for 8 cents, and 2 oranges for 12 cents ; how many cents did he lay out ? 3. A man bought a hat for 8 dollars, a coat for 27 dollars, a pair of boots for 5 do'lars, and a vest for 7 dollars; how many dollars did the whole come to ? 4. A man bought a firkin of butter for 8 dollars, a quarter of veal for 45 cents, and a barrel of cider for 3 dollars and 25 cents ; how much did he give for the whole ? 5. A man sold a horse for 127 dollars, a load of hay for 15 dollars, and 3 barrels of cider for 12 dollars ; how much did he receive for the whole ? 6. A man travelled 27 miles in one day, 15 miles the next day, and 8 miles the next; how many miles did he travel in the whole ? 7. A man received 42 dollars and 37 cents of one person, 4 dollars and 68 cents of another, and 7 dollars and 83 cents of a third ; how much did he receive in the whole ? 8. I received 25 dollars and 58 cents of one man, 45 dollars and 83 cents of another, and 8 dollars and 39 cents of a third; how much did I receive in the whole ? The two last examples may be performed in the mind, but they will be rather difficult. A more convenient method will soon be found. 14 NUMERATION. 1. Write in words the following numbers. 1 2724 10,000 2 35 25 20,030 3 5826 50,705 4 63 27 67,083 5 7023 300,050 84 29 476,089 96 30 707,720 8 100 31 1,000,370 9 103 32 5,600,073 10 110133 8,081,305 11 113 34 59,006,341 12 127/35 305,870,400 13 308 36 590,047,608 520 37 1,000,000,000 · 15 738138 3,670,000,387 16 1,000/39 45,007,070,007 17 1,001 40 680,930,100,700 18 1,010141 50,787,657,000,500 1,100 42 270,000,838,003,908 20 1,018|43 68,907,605 21 2,107 44 56,000,034,750 22 3 250 45 6,703,720,000,857 23 5,7961 Write in figures the following numbers. 1 Thirty-four. 2. Fifty-seven. 3. Sixty-three. 4. Eighty. 5. One hundred. 6. One hundred and one. 7. One hundred and ten, 8. Three hundred and eleven. 9. Five hundred and seventeen. 10. Eight hundred and fifty. 11. Nine hundred and eighty-six. 12. One thousand and one. 13. One thousand and ten. 14. Three thousand, one hundred and one. 15. Five thousand and sixty. 19 16. Ten thousand and five. 22. Ninety-seven millions, thirty-five thousand, eight hundred and five. 23. Fifty millions, seventy thousand, and eight. 24. Three hundred millions, and fifty-seven. 25. Two billions, fifty-three millions, three hundred and five thousand, two hundred. 26. Fifty billions, two hundred and seven millions, sixtyseven thousand, two hundred. 27. Eighty-seven millions, and sixty-three. 28. Six hundred billions, two hundred and seven thousand, and three. 29. Thirty-five trillions, nine millions, and fifty-eight. 30. Six hundred and fifty-seven trillions, seven billions, ninety-seven thousand, and sixty-seven. 31. Seventy millions, two hundred and fifty thousand, three hundred and sixty-seven. 32. Four hundred and seven trillions, and eighty-seven thousand. 33. Thirty-five billions, ninety-eight thousand, one hundred. 34. Forty millions, two hundred thousand, and seventyfour. 35. Eighty-three millions, seven hundred and sixty-three thousand, nine hundred and fifty-seven. ADDITION. II. 1.* A man bought a watch for fifty-eight dollars, a cane for five dollars, a hat for ten dollars, and a pair of boots for six dollars. What did he give for the whole ? 2. In an orchard there are six rows of trees; in the two there are fifteen trees in each row; in the third row, seventeen ; in the fourth row, eleven; in the fifth row, * See First Lessons, sect. I. first rows, How many eight; and in the sixth row, nineteen. How many trees are there in the orchard ? 3. Four men bought a piece of land; the first gave sixtythree dollars; the second, seventy-eight; the third, fortyfive; and the fourth, twenty-three. How much did they give for the land ? 4. In an orchard, 19 trees bear cherries, 'twenty-eight bear peaches, 8 bear plums, and 54 bear apples. trees are there in the orchard ? 5. How many days are there in a year, there being in January 31 days; in February 28; in March 31 ; in April 30; in May 31 ; in June 30; in July 31 ; in August 31; in September 30; in October 31 ; in November 30; in December 31 ? 6. The distance from Portland (in Maine) to Boston, is 114 miles ; from Boston to Providence, 40 miles; from Providence to New Haven 122 miles ; from New Haven to New York, 88 miles ; from New York to Philadelphia, 95 miles ; from Philadelphia to Baltimore, 102 miles; from Baltimore to Charleston, S. C. 716 miles; from Charleston to Savannah, 110 miles. How many miles is it from Portland to Savannah ? 7. What number of dollars are there in four bags; the first containing 275 dollars; the second, 356; the third, 178; the fourth, 69 ? 8. How many times does the hammer of a clock strike in 24 hours ? Note. At 1 o'clock it strikes once, at 2 o'clock it strikes twice, &c. 9. A man has four horses, the first is worth sixty-seven dollars; the second is worth eighty-four dollars; the third is worth one hundred and twenty dollars; and the fourth is worth one hundred and eighty-seven dollars; and he has four saddles worth twelve dollars apiece. How much are the horses and saddles worth ? 10. A man owns five houses ; for the first he receives a rent of 427 dollars; for the second, 763 dollars; for the third, 654 dollars; for the fourth, 500 dollars; and for the fifth, 325 dollars; and the rest of his income is 3,250 dolJars. What is his whole income? 11. A gentleman owns five farms; the first is worth 11,500 dollars ; the second, 3,057 dollars; the third, 2,468 dollars, the fourth, 9,462 dollars; and the fifth, 850 dollars; and he owns a house worth 15,000 dollars, a carriage worth 753 dollars, and two horses worth 175 dollars apiece. How h are they all worth? - A merchant bought four pieces of cloth, each piece Coasining 57 yards. For the first piece he gave 235 dollars, for the second, 384 dollars; for the third, 327 dollars ; and for the fourth, 486 dollars. How many yards of cloth did he buy? How much did he give for the whole ? 13. In 1818 the navy of the United States consisted of three 74s; five 44 gun frigates ; three 36s; two 32s ; one 20; ten 185. How many guns did they all carèy? 14. Suppose it requires 650 men to man a 74 ; 475 to man a 44; 275 to nan a 36; 350 to man a 32; 200 to man a 20; and 180 to man an 18. How many men would it take to man the whole ? 15. The hind quarters of a cow weighed one hundred and fiwe pounds each; the fore quarters weighed ninety-four pounds each the hide weighed sixty-three pounds; and the tallow seventy-six pounds. What was the whole weight of the cow ? 16. A nan bought a barrel of flour for 6 dollars, and sold it so as to gain 8 dollars. How much did he sell it for 1 17. I bought a quantity of salt for 18 dollars, and sold it for 7 dollars more than I gave for it; how much did I sell it for ! 18. & in bought three hogsheads of molasses for 132 dollars; and sold it so as to gain 25 dollars ; how much did he sell it for? 19. A man being asked his age, answered that he was twenty-seven years old when he was married, and that he had been married thirty-nine years. How old was he ? 20. A man being asked his age, answered that he had passed the 19 first years of his life in America, and that he had afterwards spent 7 years in Germany, 13 years in France, 3 years in Holland, and 24 years in England. How old 21. A merchant bought four hogsheads of wine for four hundred and thirty-seven dollars, and sold it again for ninetyfour dollars more than he gave for it. How much did he sell it for ? 22. A man commenced trade with three thousand, two hundred and fifty dollars; after trading for some time, he was het |