7. A boy bought 20 marbles for 20 cents, 6 peaches for 8 cents, and 3 apples for 2 cents; how much money did he Bay out?

8. A inan bought a cart for 6 dollars, a plough for 2 dollars, a pair of steers for 9 dollars, and 2 acres of land for 8 dollars; how much did he lay out in all?

9. How old would you be, were your age double what it now is?

10. If you had three times as many fingers and thumbs you have now, how many would you have in all?

11. How many quarters to an apple, or any thing? 12. How many thirds to an apple, or any thing?

13. If an apple, a number, or any thing, is divided into 4 equal parts, what would one of those parts be called? A. One quarter, or

14. In the above, if divided into 3 equal parts, what would one part be called?

15. If an apple, or any thing, is divided into 5 equal parts, what would one part be called? A. One fifth, or

16. What would 2 parts be called? A. Two fifths, or 17. What would 4 parts be called?

18. How many parts does it take to make 5 fifths? A. 5. 19. How many parts does it take to make the whole? A. 5. 20. Why is the whole? A. Because the whole of the apple was divided into 5 equal parts?

21. If of an apple cost 2 cents, what will a whole apple cost?

22. If of an apple cost 1 cent, what will the whole cost?

Note A.--Of the two following tables, the first is to be added from left to right, thus, 1 and 2 are 3; then the next line, thus, I and 2 are 3, and 3 are 6; then the next line, thus, I and 2 are 3, and 3 are 6, and 4 are ten; and thus with all the lines. The second is to be added from left to right, in the same manner.

The learner, in reciting either, is not to look on the book; the order of the Sigures being such as to render it unnecessary.

23. What is the sum of the following numbers?

26. If you give 300 dollars for of a house, how much the whole house worth? How much is worth?

27. If of an apple cost 2 cents, what is the whole apple worth?

28. If of a factory be worth 2000 dollars, what is the whole worth?

29. 16 boys, throwing stones at an apple-tree, beat off a number of apples: says one boy, My part is, and I am entitled to one apple; how many apples is then? How many 16?

t? How many? How many 18? How many

Q. What do you mean by the same name, or denomination? A. All pounds, all dollars, all cents, or all drams, &c.

Q. How many are 20 and 30? What do you call the 501 4. Amount.

It is thought advisable, whenever the operation of the first sum in any rule is given, to direct the pupil, after a careful attention to the questions in the book, to copy the sum on his slate, and from this to answer the questions especting the work, without looking on the book at recitation.

Operation by Slate illustrated.

1. A man bought a cart for 25 dollars, a yoke of oxen for 69 doilars, and a plough for 7 dollars. What did he give for the

whole

OPERATION.

Cart,

Oxen,

Plough,

25 dollars.

69 dollars.

7 dollars.

Amount, 101 dollars.

Q. How do you obtain the

Q. In writing this example down, why do you place the 7 (units) under the (units)? why not place it under the 6 (tens)?

A. Because, if I should the 7 units would become 7 tens, or 70; that is, the 7 dollarswould become 70dollars. in the Ans.?

4. I say 7 (units) and 9 (units) are 16 (units), and 5 more

(units) are 21 (units), or 2 tens and I unit, writsg the 1 in the muits' place.

What do you do with the 2 tens?

A. I carry or add them to the 6 (tens), in the next higher place, where all the tens belong

Q. What is this adding of the 2 tens called?

Carrying one for every ten.

Q. How do you proceed to get the 10 in the Ans. ?

4. The 2 (tens) to carry, and 6 (tens) make 8 (teus), and the 2 (tens) over the 6 (tens) are 10 (tens).

From these illustrations we derive the following

RULE.

Q. How do you write the numbers down?

A. Units under units, tens under tens, &c. with line underneath.

Q. At which hand do you begin to add?

A. The right.

Q. If the amount of any column be 9, or less, how do you proceed? A. Set it down.

Q. If it be more than 9, what do you do?

A. I set down the right-hand figure, and carry the left-hand figure, or figures, to the next column. Q. Which figure would you write down, and which carry, in 18, 10, 13, 36, 81, 94, 108, 58, 67, 125?

Q. What do you do with the amount of the last column?
A. I set the whole of it down.

PROOF. Q. How do you prove the operation?

A. Begin at the top, and add the figures downward in the same manner as they were added upwards.

Q. What must this amount be like?

A. The first amount.

More Exercises for the Slate.

To save the trouble of having the pupil running up continually to his teacher to know if his sums be right, and to prevent the learner from cupying the answers on his slate from the book, indirect answers will be given through the book, when that can conveniently be done in other casus, direct answers will be given,

2. A man bought a suit of clothes for 57 dollars, a pair of boots for 8 dollars, and a secretary for 28 dollars. What did he give for the whole? A. 93.

3. In an orchard, 20 trees bear pears, 54 bear peaches, and 6 bear plums. How many are there in the orchard? A. 80

4. A man bought a barrel of flour for 10 dollars, a barrel of molasses for 29 dollars, and a barrel of rum for 36 dollars. How anch did he pay for all the articles? 4. 75.

5. James bought at one time 89 marbles, at another time 54, at another 60, at another 75. How many did he buy in all? A. 278, 6. A man gives 9 dollars for § of a chaise; how much must he give for the whole at that rate? A. 267.

7. You expend for a gold watch 165 dollars, for a chaise 225 do!lars, for a new suit of clothes 80 dollars, and give your father 400 dollars. How mach money have you parted with in all? A. 670.

8. If of a vessel be worth 2265 dollars, what is the whole vessel worth? 4. 6795 dollars.

9. What is the whole stock which a man has in trade worth, if be worth 3500 pounds? A. 14000 pounds.

10. If a man own of a bank, and his part cost 26000 dollars, what would the whole be worth at that rate? A. 208000 dollars. 11. If my neighbor should borrow of me at one time 656 dollars, at another 50 dollars, at another 3656 dollars, and at another 5000 dollars, how much should I lend him in all? 4.9362 dollars.

12. A merchant owes 617 dollars to Messrs. B. & T. C. Hoppin, 516 dollars to Messrs. B. & C. Dyer, 600 dollars to the Exchange Bank, 1000 dollars to the Union Bank; I demand how much he owes in the whole? A. 2733 dollars.

13. A merchant bought at one time 600 barrels of beef, at another 500 barrels, at another 416 barrels; how many barrels did he buy in the whole? A. 1516 barrels.

14. James was born A. D. 1800; what year of our Lord will it be when James is 37 years of age? A. 1837.

15. Gen. George Washington was born A D. 1732, and lived 67 years, in what year did he die? A. 1799.

16. From the creation of the world to the flood was 1656 years; from thence to the building of Solomon's temple, 1336 years; thence to the birth of our Saviour. 1008 years: in what year of the world was the birth of Christ? A. Anno Mundi 4000.

In the Key the teacher will find all the answers to the following examples.

*The teacher will observe that the amounts of the several sums are divided by 3, and the quotients given for the answers will be found in sum No. 27, each quotient being set against the No. of the sum, that he may more readily tell if the sun be right.