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In the second example, one of the factors is one-tenth, consequently the product is one-tenth of the other factor; that is, consists of the same figures, with one additional decimal figure, and this another zero placed before the product of the first examples.

1. .1, .01, .001, .0001.
2. .01, .001, .0001, .00001.
3. 4, .012, .0020, .00018, .000012.
4. 1.63254.
5. .043554.

8. 15455.8152. 6. .007082.

9. 1389171.48. . .0007508.

10. 3506284.8.

Page 68. 8. Quotient, 4525.06; remainder, 16810. 9. Quotient, 84.8; remainder, 62121. 10. Quotient, 19; remainder, 5246885.

REM.—The division may be carried as far as necessary by annexing zeros to the dividend, as every additional decimal in the dividend will give an additional one in the quotient.

DENOMINATE NUMBERS.

Page n.

4. £291 15s. 9d.

Page 78.

5. 6153 mills.

2. 500 cts. 5000 mills. 3. 700 cts. 7000 mills.

Page 79.

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9. 63 dollars 25 cents 7 mills. 10. 1753 dollars 25 cents. 11. $9. 13. $105.

15. $39.375. 12. $10.50. 14. $1.125. 16. $55.65. 17. Cost $483.136; sold for $640.328. 18. 60 cts., 70, 80, 90, 100, 110, 120. 19. 84 cts., 96, 108, 120, 132, 144. 21. 4 d., 53, 54, 67, 61, 71, 73, 81, 82, 83. 22. 2195., 21, 211, 312, 313, 41, 42, 532.

23. £18, 2, 218, 3, 3%, 317, 318, 4, 40, 41, 42, 5, 50, 51, 6.

,

Page 80.

24. 9303 farthings.

26. £39 19s. 3d. 3 far.

25. £39442 Os. Od. 1 far.

27. £1 198. 2d. 01. far.

Page 89. 1. 3359 far.

12. 1 lb. 2 3 0 3 12 gr. 2. 3068 pence.

13. 741402 inches. 3. 1682 pence.

14. 4 lea. O mi. 5 fur. 12 4. £2 9s. Od. 2 far.

rd. 4 yd. 1 ft. 4 in. 5. £2 5s. 3d.

15. 1774 in. 6. £36 11s.

16. 135 inches. ny 17055777 drams.

17. 180 inches. 8. 1 T. 6 cwt. 1 qr. 1 lb. 11 oz. 18. 162 inches. 9. 32871 gr.

19. 182416 sq. in. 10. 11 lb. 2 oz. O pwt. 4 gr.

20. 161940 cu. in. 11. 14690 gr.

21. 2 cords.

Page 90.

22. 831 gills.

23. 633 pt.

Page 93. 56. 1440 yd.; 1200 yd. ; 960 yd.; 640 yd. ; 480 yd.; 384 yd.; 320 yd. ; 2744 yd. 57. Proceeds of flour, $3312.50.

Number of yards, 3785%.

R AT IO.

.60

Page 103.

2 9. $$.40 x = $1.20 per bushel, then $1.20 x 30 =

9 .60

19 $10.50; $1.20 x = $11.40; $28.50; $38.00; $57; $47; $70.50 ; $117; $128.10.

10. $11.871; $12.817; $194; $461; $1191; $157; $1881; $3491

11. $260; $310; $500; $525; $690; $735; $780; $825; $1510; $1995.

12. $374; $25; $121; $10; $20; $30; $40; $60; $70.

13. $146.

Page 104.

15. $18.75, $22.50.

14. $9.

Page 105.

13. $49.50.

g. 15 barrels.
8. 15 days.

11. $3500.
12. $42.60.

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Page 147.-Ex. 6. $1000. Ex. 7. $1000. Page 149,-Ex. 5. 2597937 francs. Ex. 6. $5000. Page 150.-Ex. 10. $5000.

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Page 1718. To find a number greater than any given in the table.

As R? x R2 = R4, hence, the product of any two tabular numbers will be the tabular number for the sum of the years corresponding to those numbers.

Thus, tab. No. opp. 20 years x tab. No. 20 x tab. No. 10 = tab. No. opp. 50 years.

Tab. No. of 20 x tab. No. 9 = tab. No. 29, etc.

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Page 180.-Ex. 5. $1000.

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