Section 2. ADDITION. MENTAL EXERCISES. 1. John has two cents and Samuel gave him two more, how many has he ? 2. Thomas has three nuts and James gave him three more, how has he? 3. A boy has four apples, and he found two more, how many many in all ? 4. I have six dollars, and a man has paid me three more, how many have I ? 5. Enoch has seven marbles, and John gave him two more ; how many has he ? 6. Benjamin has four dollars, and his sister has three ; how many have both ? 7. Paid five dollars for a barrel of flour, and seven dollars for sugar ; how much for both ? 8. James has two cents and Samuel gave him six more ; how many has he ? 9. How many are five apples and six apples ? 10. How many are four dollars and eight dollars ? 11. How many are 2 and 3? 2 and 5 ? 2 and 7 ? 2. and 9 ? 12. How many are 3 and 3? 3 and 5 ? 3 and 7 ? 3 and 9 ? 13. How many are 4 and 3 ? 4 and 5 ? 4 and 8 ? 4 and 9 ? 14. How many are 5 and 3 ? 5 and 4? 5 and 7 ? 5 and 8 ? 5 and 9 ? 15. How many are 6 and 2 ? 6 and 4? 6 and 3 ? 6 and 5 ? 6 and 7 ? 6 and 9 ? 16. How many are 7 and 3 ? 7 and 5 ? 7 and 7 ? 7 and 6 ? 7 and 8 ? 7 and 9 ? 17. How many are 8 and 2 ? 8 and 4 ? 8 and 5 ? 8 and 7 ? 8 and 9 ? 8 and 8? 18. How many are 9 and 1 ? 9 and 3 ? 9 and 5 ? 9 and 4 ? 9 and 6 ? 9 and 8 ? 9 and 9 ? 19. How many are 11 and 3 ? 11 and 2 ? 11 and 4? 11 and 6 ? 11 and 7 ? 11 and 9 ? 11 and 11 ? 11 and 13 ? 11 and 12 ? 11 and 2 and 3 ? 11 and 4 and 4 ? 11 and 15 ? 12 and 7 and 3 ? 12 and 6 and 3 ? 8 and 8 and 4 ? 9 and 5 and 6 ? 20. Gave nine cents for a pound of cheese, and seven cents for a quart of molasses ; what did I give for both ? 21. If you buy a picture book for eleven cents, and a knife for nine cents ; what is the cost of both ? 22. John paid Luke seven cents for marbles and twelve cents for gingerbread ; how much money was received ? 23. Thomas paid twelve cents for a top and eight cents for cherries; what did both cost ? 24. A merchant sold three barrels of flour to one man and thirteen to another ; what was the quantity sold ? 25. I have two appletrees, one bears twelve bushels of apples, and the other eleven; how many bushels do both trees produce ? 26. How many are 4 and 2 and 3 ? 5 and 7 and 1 ? 3 and 4 and 3 ? 6 and 6 and 5 ? 2 and 2 and 8 ? 2 and 3 and 9 ? 27. How many are 2 and 6 and 7 ? 2 and 7 and 7 ? 2 and 8 and 9 ? 2 and 7 and 4 ? 2 and 5 and 9 ? 2 and 9 and 6 ? 2 and 3 and 10 ? 28. How many are 3 and 2 and 2 ? 3 and 3 and 2 ? 3 and 5 and 5 ? 3 and 4 and 7 ? 3 and 6 and 7 ? 3 and 7 and 10 ? 3 and 8 and 9 ? 3 and 9 and 9 ? 29. How many are 4 and 2 and 2 ? 4 and 3 and 3 ? 4 and 4 and 5 ? 4 and 6 and 7 ? 4 and 7 and 7 ? 4 and 8 and 3 ? 4 and 9 and 3 ? 4 and 8 and 8 ? 30. How many are 5 and 3 and 3? 5 and 4 and 4 ? 5 and 5 and 1 ? 5 and 6 and 7 ? 5 and 7 and 8 ? 5 and 8 and 7 ? 5 and 9 and 9 ? 5 and 10 and 3 ? 31. How many are 6 and 2 and 7 ? 6 and 3 and 6 ? 6 and 5 and 4 ? 6 and 7 and 5 ? 6 and 8 and 7 ? 6 and 9 and 8 ? 6 and 10 and 10 ? 32. How many are 7 and 2 and 3 ? 7 and 3 and 3 ? 7 and 5 and 9 ? 7 and 6 and 6 ? 7 and 8 and 8 ? n and 9 and 8? 7 and 10 and 11 ? 33. How many are 8 and 2 and 9 ? 8 and 4 and 3 ? 8 and 7 and 7 ? 8 and 9 and 10 ? 8 and 7 and 9 ? 8 and 10 and 10 ? 8 and 9 and 12 ? 34. How many are 9 and 5 and 2 ? 9 and 4 and 3 ? 9 and 9 and 6 ? 9 and 10 and 3 ? 9 and 8 and 8 ? 9 and 4 and 9 ? 9 and 9 and 9 ? 35. How many are 2 and 2 and 4 and 5 ? 3 and 4 and 5 and 6 ? 4 and 5 and 6 and 7 ? 5 and 5 and 4 and 4 ? 9 and 1 and 2 and 3 and 5 ? 36. James has 4 apples, and Samuel gives him 5, and John gives him 6; how many has he ? 37. Gave 7 dollars for a barrel of flour, 5 dollars for a hundred weight of sugar, and 8 dollars for a tub of butter ; what did I give for the whole ? 38. Paid 5 dollars for a pair of boots, 12 dollars for a coat, and 6 dollars for a vest ; what was the whole cost ? 39. I have 7 appletrees, 9 cherrytrees, 6 peartrees, and 8 plumtrees; how many in all ? 40. In a certain school, 10 scholars study grammar, 12 arithmetic, 7 logic, 2 rhetoric, and 17 punctuation ; how many are there in the school ? 41. Gaye 12 cents for an almanac, 14 cents for paper, 5 cents for quills, and 8 cents for an inkstand ; what did I give for the whole ? 42. Paid 50 dollars for a horse, and 70 dollars for a chaise ; what was the price of both ? 43. A man performed a journey in 4 days; the first day he travelled 10 miles ; the second day 12 miles ; the third day 12 miles ; the fourth day 20 miles ; what was the whole distance ? 44. Paid 2 dollars for a cap, 3 dollars for shoes, 7 dollars for pantaloons, 6 dollars for a vest, and 12 dollars for a coat ; what was the cost of the whole ? 45. Gave 75 cents for an arithmetic, and 25 cents for a geography ; what was the price of both ? 46. On the fourth of July, 20 cents were given to Emily, 15 cents to Betsey, 10 cents to Benjamin, and none to Lydia; what did they all receive ? 47. Bought four loads of hay ; the first cost 15 dollars, the second 12 dollars, the third 20 dollars, and the fourth 17 dollars ; what was the price of the whole ? The pupil, having performed the foregoing questions, will perceive, that Addition is the collecting of numbers together to find their sum. Hence the propriety of the following rule. RULE. Write units under units, tens under tens, fc. Then add upwards the units, and find how many tens are contained in their sum. Write down directly below what remains more than those tens; or, if nothing remains, write down a cypher and carry as many units to the next column as there are tens. Then add up the second column, together with the number carried, in the same manner as before. Proceed in this way, till the whole is finished, writing down the total amount in the last column. PROOF. Begin at the top, and add together all the columns of numbers downwards, in the same manner, as they were before added upwards ; then if the two sums agree, the work is right. QUESTIONS FOR THE SLATE. 1. 2. 3. 4. 5. 11 47 1 27 678 789 1769 87 396 971 478 7895 97 58 787 147 719 75 63 86 83 456 716 93 8 7 6 5 6. 23 217 275 1766 2 5 1 2 ny. 876 376 715 678 910 8. 789 5 67 743 435 678 9. 123 478 716 478 127 10. 471 617 871 317 899 11. 1234 3 4 5 6 6544 7891 8766 3 5 5 5 3212 1922 12. 789 5 6 3 7 6 67 1 2 3 4 5 67890 78999 13579 13. 71678 1 2 3 4 5 67890 3 4 5 6 7 89012 78917 14. 71123 4 5 6 7 8 34680 56777 67 812 71444 15. 98765 1 2 3 4 5 67111 33333 71345 99999 289436 35 4409 16. 17875897 7167512 8765 67 987 65 7896 789 78 ng 17. 761 475 1069 37 41 76 18. 37 13789 56 700714 367 76117 4611779 9171 131765 19. 895 676 3 2 5 6 7 8 1 2 3 4 5 6 7 8 9 0 1 2 8 7 6 5 43210988 789012345678 210987 6 5 4 3 22 789012345 679 4 5 6 7 8901 3 4 5 543210987 6 5 5 3 4 5 6 78901234 6 54321098766 10432367 43 2 2 21 0987 6 5 4 3 2 1 20. 2 3 4 5 6 7 8 9 1 2 3 4 6789 0 1 2 3 4 5 6 7 3210987 6 5 4 33 456789012345 5 4 3 2 1 0987 6 5 5 789012345678 210987 6 5 4322 1890 1 2 3 4 5 6 7 8 2 10987 6 5 4 3 2 2 3 4 5 6 7 8 9 0 1 2 3 4 6 5 4 3 2 1 0987 66 765432108765 21. What is the sum of the following numbers, 183, 765, 838, 375, 857, and 431 ? Ans. 3449. 22. Add the following numbers, 3791, 83, 71678, 96, 786, 4711, and 99. Ans. 81244. 23. Gave 73 dollars for a watch, 15 dollars for a cane, 119 dollars for a horse, 376 dollars for a carriage, and 7689 dollars for a house. How much did they all cost ? Ans. 8272 dollars. 24. In an orchard, 15 trees bear plums, 73 trees bear apples, 29 trees bear pears, and 14 trees bear cherries ; how many trees are there in the orchard ? Ans. 131 trees. 25. The hind quarters of an ox weighed 375 pounds each ; the fore quarters 315 pounds each ; the hide weighed 96 pounds, and the tallow 87 pounds. What was the whole weight of the ox ? Ans. 1573 pounds. |