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INDEX TO PARTICULAR SUBJECTS.

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Compound Multiplication

Page. Example.
Addition Miscellaneous examples 37 1....49
Subtraction

Division Miscellaneous examples 211 1....25
Interest, Simple
Commission

28 43....50
Insurance

92 65..113
Duties and Premiums

104

43....74
Discount, Common
Compound Interest

215 58....68
Discount.

78 130..142

224 110..113
Barter

36 102..106
42 34....38

103 33....41
Loss and Gain.....

214 52....57

58 158..166
Fellowship, Simple

220 85....86
Fellowship, Compound..

.221 87....92
Equation of Payments.

.222 103..109
Alligation Medial..

.218 69....72
Alligation Alternate

..218 73....84

79 1....49
Square and Cubic Measure. Miscellaneous Examples 91 56....64

101 '13....26
Duodecimals

.229 141..144
Taxes

103 28....32
Measure of circles, parallelograms, triangles, &c... 233 181..187
Geographical and Astronomical questions

.234 . 188..198
Exchange...

.235 199..205
Tables of Coin, Weights, and Measures

236
Reflections on Mathematical reasoning

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..240

Oct 18400

ARITHMETIC.

PART I.

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 bouglit 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 bouglit a hat for 8 dollars, a coat for 27 dollars, a pair of boots for 5 dollars, 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, they will be rather difficult. A more convenient method will soon be found.

NUMERATION.
1. Write in words the following numbers.
1
27/24

10,000 2 35 25

20,030 3 58/26

50,705 6327

67,083 5 70/23

300,050 6 84 29

476,089 7 96/30

707,720 8 100 31

1,000,370 9 103 32

5,600,073 10

11033

8,081,305 11

113 34

59,006,341 12

127 35

305,870,400 13

308 36

590,047,608 14

520 37

1,000,000,000 15

738 38

3,670,000,387 16

1,000 39

45,007,070,007 17

1,001 40

680,930,100,700 18

1,010 41 50,787,657,000,500 19

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

5,796 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.

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