ADDITION TABLE.

2

2

2

10

23456∞ O

2 and 2 are 4 3 and 9 are 125 and 9 are 14]

8 and 8 are 16

7

8

9

To read the table, say 2 and 2 are 4; 3 and 3 are 6, &c.

All of the tables, and rules generally, should be committed to memory, before the pupil attempts the solution of the questions.

2463

4532

0773 9841

Explanation. Begin by saying, 1 and 3 are 4, and 2 are 6, and 3 are 9; set it down. Then, 4 and 7 are 11, and 3 are 14, and 6 are 20; set down 0, and carry 2 to 8, which will make 10, and 7 are 17, and 5 are 22, and 4 are 26; set down the 6, and carry 2 to the next figure, 9, 17609 amount. which will make 11, and 0 is nothing, but 4 are 15, and 2 are 17; always set down the whole amount of the last column. Then, to obtain the proof, draw a line under the numbers at the top, and add the remaining numbers as before, omitting the numbers at the top, and you find this sum to be 15146; this last sum is now added to the numbers at the top, which agrees with the first addition; hence it is supposed to be correct. Note.-A question may be proven according to rule, and be incorrect, because the same error may be committed in the proof that was in the first calculation.

15146
17609 proof.

1. Henry has 7 apples, and George will give him 11; how many will he then have?

2. Thomas has 17 cents, John 19, William 14; how many in all ?

3. Samuel has 35 cents, he had lost 6; how many had he at first?

4. How many are 17, 18, 19, 20, and 21? How many are 52, 76, 83, 82, 2, 1, and 17?

5. William paid for a knife 31 cents, pocket-book 25 cents, slate 18 cents, book 42 cents, paper 7 cents; what did they ail cost?

6. A farmer has 19 cows, 157 sheep, and 84 calves; how many in all?

26. What is the amount of 427, 632, 781, 1001, 4765 32014?

Answer, 39620

27. Add 672, 1021, 846, 27, 4762, 7820, and 48 together.

Ans. 15196

28. Add the following numbers, 5876, 7890, 6874, 9658, 1234. Ans. 31532.

29. W., in the collection of money, received of B. 45 dolls., of C. 74 dolls., of D. 96 dolls., of E. 121 dolls.; how much did he receive in all ? Ans. 336 dollars. 85 sheep, in the how many has Ans. 558.

30. B. has four fields; in the first he has second 97, in the third 142, in the fourth 234; he in all?

31. C. purchased at a store, 76 pounds of coffee, 27 pounds of sugar, 36 pounds of cheese, 40 pounds of salt, 9 pounds of tea, 4 pounds of raisins, and 2 pounds of spice; how many pounds in all?

37

100's thous.
AA10's thous.

1000's.

100's.

10's.

∞ units.

Ans. 194.

8.4 7 6 7.6

7 4 3 2 7 3

43. Required the amount of the following sums; five thousand seven hundred and eighty; seventy-nine thousand four hundred and forty-two; eight hundred and eighty-nine thousand; one mil

ion; five hundred; twenty-one; nine; seven hundred; twentyone thousand; fourteen; one hundred and nine? Ans. 1996575.

54. A man commenced a journey, and travelled 9 days; the first day he travelled 34 miles, and after that he gained 1 mile every day; how many miles did he travel in the 9 days?

Ans. 342.

55. A drover purchased the following drove, namely: 102 oxen, for which he paid 5764 dolls.; 176 cows for 3784 dolls.; 50 calves for 250 dolls.; 420 sheep for 960 dolls.; of how many did his drove consist, and how much did he pay?

Ans. the drove 748, paid 10758 D. 56. A miller purchased of a farmer 10 bags of wheat, which were to be paid for by weight, which was as follows: No. 1, 165 pounds; No. 2, 168; No. 3, 171; No. 4, 175; No. 5, 178; No. 6, 180; No. 7, 182; No. 8, 185; No. 9, 189; No. 10, 190; how many pounds of grain did he buy? Ans. 1783 pounds.

57. The plantation of a gentleman will produce in one season, 1500 bushels of wheat, worth 1875D.; 1350 bushels of rye, worth 1283D.; 2134 bushels of barley, worth 1696D., 450 bushels of corn worth 275D.; and 876 bushels of oats worth 421D.; required the number of bushels of grain, and the value? Ans. 6310 bushels, value 5550D). 58. What number of dollars are in 6 bags, each bag contain ing 37542D. Ans. 225252.

59. There is a valuable farm, one quarter of which is worth 15674D.; how much is the whole farm worth? Ans. 62696D.

64. Add 4764608, 407, 76, 46876541, 76084763, together.

Ans. 127726395. 65. Add 48, 96, 423, 8765, 6420, 4876, 904078, together.

Ans. 924706.

66. Add 1, 7, 6, 941, 784, 54204, 56476096, together.

Ans. 56532039.

67. Add 746796, 48, 50701, 30, 40, 17, 17645, together.

Ans. 815277.

68. Add 9, 11, 642, 4786, 3000104, 68588479, 879643978, together.

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REVIEW.

Which is the first primary rule in Arithmetic? How many primary rules are there in Arithmetic? What are they called? How many secondary rules are there? Name them. Why are they called secondary? What is Addition? What is the use of Addition? What is the rule for writing the numbers? After the numbers are all written, how do you proceed? When you have found the amount of all the figures in the left or last column, what will you do? How do you prove the correctness of the work? When you have proved your sum according to rule, do you know it to be correct? Why do you carry 1 for every 10? Recite the Addition table.

69. Ten partners have each 87452D. 20c. in trade; what is the amount of their capital?

70. Add 4444444, 5555555, 6666666, 7777777, 8888888, together.