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dred thousand. Why? A. Because when I numerate, the 5 comes hundreds of thousands.

Numerate and see.

Q. What does 8 with 6 ciphers stand for? A. 8 millions. Q. Why? A. In numerating, the 8 comes millions.

Numerate and see.

Q. How do you read the figures 624? A. Six hundred and twenty-four.

Q. Why do you say 6 hundred ?

Q. What does 6278 stand for? A. Six thousand two hunired and seventy-eight.

Q. How do you know that the 6 is 6 thousand?

Q. How do you read the figures 56768? How do you read 27365? How do you read 654212 ?

Express in words the following numbers.

Note.-The pupil may learn the value of each succeeding number by a for

ner one.

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7007

30002
50009

623029
928028

=

Thirty thousand and two.

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Six hundred twenty-three thousand and twenty

6000066=Six millions and sixty-six.

8000099

=

75000100 Seventy-five millions and one hundred. 83000800

Express in figures the following numbers.

Sixty. One hundred and twenty-five.

Three thousand three hundred and thirty-three.

Three millions, three hundred thirty-three thousand, three Aundred and thirty-three.

Thirty millions.

Three hundred millions and twenty-five.

Repeat the following Numeration Table, and the corresponding value of the figures

prefixed.

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SIMPLE ADDITION.

1 VII. 1. You bought an orange for 9 cents, and a melon for 15 cents; what did you pay for both?

2. James bought a top for 6 cents, a knife for 12 cents, and an inkstand for 8 cents; how much did they all come to?

3. Harry and James lost some money; James lost 20 cents, and Harry 12; how much did both lose?

4. A boy laid out 10 cents in marbles, 8 cents in quills, and 6 cents for a slate-pencil; how much did he lay out in all? 5. You give 40 cents for a 'ractical Arithmetic, 8 cents for a ruler, 9 cents for an inkstand, and lose 6 cents; how much money has gone from you?

6. A man gave his children money in the following manner, to his oldest 3 dollars, to James 5 dollars, to Thomas 9 dollars, and to his two daughters, 4 dollars apiece; how much did he give away?

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 lay

out?

8. A man bought a cart for 6 dollars, a ploug 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 as you have now, how many would you have in all?

Il flow 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? 4. One quar ter, or ..

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14. In the above, if divided into 3 equal parts, what would ɔne 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? 4.5 19. How many parts does it take to make the whole? A. 5. 20. Why is the whole? A. Because the whole of the ap ple was divided into 5 equal parts.

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

1

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 eight, thus, 1 and 2 are 3; then the next line, thus, 1 and 2 are 3, and 3 are 6; then the next line, thus, 1 and 2 are 3, and 3 are 6, and 4 are 10 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 figures being such as to render it unnecessary.

12

123

1234

23. What is the sum of the following numbers?

A. 31 2 2 2 2 2 2 2 2 2 2 2 2 A. 24

A. 6 3 3 3 3 3 3 3

3 3 3 3 3 A. 36

4 4 4 4 4 A. 48

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4 4

12345

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123456

1234567

12345678

123456789

1 2 3 4 5 6 7 8 9 10 1234567 8 9 10 11

A.21

6 6 6 6

6

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6

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7 7 A. 84

A.36

A.45

8 8 8 8 8 8 8 8 8 8 8 8 A. 96

9999 9 9 9 9 9 9 9 9

A. 108

A. 55

A. 66

1 2 3 4 5 6 7 8 9 10 11 12 A. 78

10 10 10 10 10 10 10 10 10 10 10 10
11 11 11 11 11 11 11 11 11 11 11 11
12 12 12 12 12 12 12 12 12 12 12 12

A. 120

A. 132

A. 144

24. If of an apple be worth 1 cent, how much is a whole apple worth?

25. If of a vessel be worth 1000 dollars, how much is the whole vessel worth? How much is worth?

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

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

worth

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

worth?

29. 13 boys, throwing stones at an apple-tree, beat off a num Der of apples: says one boy, My part is, and I am entitled to one apple; how many apples is then? How many? How many? How many ? How many ? How many

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30. 16 men caught so many fish, that they could not count them; a bystander told one man that his part was 100, just

of the whole; how many fish would
How many? How many
many fish did they catch in all ›

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be! How many

How many

? How

31. John was born twenty years after James; how old wil? James be when John is 21?

32. When Joseph was 21, he married a wife that was it vears old when he was born; how old was the wife when Jo seph married?

33. How many are 7 and 9? 47 and 9? 87 and 9? 37 and 9? 7 and 5? 27 and 5? 57 and 5? 8 and 7? 48 and 7: 68 and 7? 58 and 7? 78 and 7? 8 and 8? 28 and 8? 48 and 8? 58 and 8? 78 and 8? 98 and 8? 9 and 9? 39 and 9 59 and 9? 79 and 9? 69 and 96 and 6? 36 and 6? 56 and 6? 76 and 6? 96 and 6? 106 and 6?

Note A.-After the manner of the last examples, the pupil should be taught to perform the following. Should he hesitate in any instance, as, for example, ir adding 8 to 88, just say to him, 8 and 8 are 16, and he will soon see that 88 and 8 are 96, there being a 6 in both cases. By this means, if he can add any twe numbers together, both under 10, he may be taught to add any number smaile than 10 to any number larger than 10.

Note B.-The following may be added by calling each finger a figure. Car should be exercised, lest the learner give the total amount from the book without making the individual additions for himself.

34. Add 5 twos, and 5 threes together: thus-2 and 2 are 4 and 2 are 6. and 2 are 8, and 2 aro 10, and 3 are 13, and 3 are 16, and 3 are 15, and 3 are 22, and 3 are 25.

Add 5 fours, 5 threes, and 5 twos together.

66 5 fives, 5 fours, and 5 threes 66

A. 45

A. 60.

66

5 sixes, 5 fives, and 5 fours 66

A. 75.

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5 sevens, 5 sixes, and 5 fives

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5 eights, 5 sevens, and 5 sixes

A. 105.

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"10 ones and 10 twos

10 threes and 10 twos

"10 fours and 10 threes

* 10 fives

and 10 fours

5 nines, 5 eights, and 5 sevens "

A. 120

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A. 30

A. 50

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2ibs. 7 oz 3 prots. into pennyweights, multiply by 15 for a dividend, divide, and the quotient will be the answer. Ꭿ. 7.

116. In 26880 lbs. of sugar, how many hhds., each 12 cwt ? A. 20.

117. How many barley corns will reach round the globe, it being 360 degrees? A. 4755801600.

118. In running 300 miles, how many times will a wheel 9 feet 2 inches in circumference, turn round? A. 172800.

119. In 172800 turns of a wheel measuring 9 feet 2 inches, how many miles? A. 300.

120. How many times will a wheel, which is 15 feet 9 inches in circumference, turn round in going from Providence to Norwich, it being 45 miles? A. 15085+

121. A farmer rents a plantation of 400 acres, of which no more than 200 are to be tilled; how many poles are there in the remainder? A. 32000.

122. In a lunar month, of 27 days, 7 hours, 43 minutes, 5 seconds, how many seconds? A. 2360585.

123. How many seconds is it from the birth of our Saviour to Christmas, 1823, allowing the year to contain 365 days, or 365 days, 6 hours? A. 57687292800.

124. When a person is 21 years old, how many seconds old is he? A. 662709600.

125. It is supposed the wars of Bonaparte, in 20 years, caused the death of 2000000 of persons; how many was this per hour, llowing the year to contain 365 days 6 hours? A. 11.

COMPOUND ADDITION.

↑ XXX. 1. William bought an arithmetic for 2 s. 6 d., and rn inkstand for 6 d.; how many shillings did both cost?

2. Harry purchased a vest; the cloth and making cost 5 s., the buttons 9 d., and the thread 3 d.; how much did the vest cost?

3. William, Harry, and Thomas gathered some nuts; and when they measured them, it was found that William had 2 qts. and 1 pt., Harry 3 qts. 1 pt., and Thomas 2 qts.; how many pecks did they gather in all?'

4. How many pecks are 3 qts. + 1 qt. + 4 qis.?
5. How many yards are 2 qrs. + 3 qrs. - 3 qrs.?
6. How many gallons are 1 qt. + 2 qts. + 1 qt.?
7. How many pence are 1 qr. + 3 grs. + 1 qr. ?
8. How many shillings are 3d + § d. + 1 d?

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