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Note. I call 365 days a year, although it falls short a little,

yet it is exact enough for common purposes.

1. In 16 years, 5 months,

how many minutes?

yrs. mo.

16 5

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2. Reduce 1796 years to seconds?

yrs.

1796

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CASE I. To reduce dollars to cents.

RULE. Place two ciphers at the right hand of the dollars,

and the work is done.

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CASE II. To reduce dollars to mills.

RULE. Annex three ciphers to the dollars.

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88900 Answer. 485700 99

889000 Answer. 857000 ""

CASE III. To reduce dollars and cents to cents.

RULE. Remove the comma from between the dollars and cents, and the work is done.

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CASE IV. To reduce dollars and cents to mills.

RULE. Remove the comma as in Case 3d, and annex one

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CASE VI. To reduce dollars, cents and mills to mills.

RULE. Remove the commas from between the dollars and cents, and cents and mills, and the whole sum is mills.

EXAMPLES.

1. Reduce $38, 75, 7 to mills.

2.

3.

Note 1st.

$49, 03, to mills.

$77, 66 3 to mills.

38757 Answer.

49035 99

77663 99

When you would bring cents into dollars, point off the two right hand figures for cents; the left hand figures are dollars.

EXAMPLES.

1. In 38575 cents, how many dollars? 2. In 38705 cents, how many dollars ?

$385, 75 Answer. $387, 05 22

Note 2d. To bring mills into dollars, cents, &c. point off the first right hand figure for mills, the two next for cents; the left hand figures are dollars

EXAMPLES.

1. In 85697 mills, how many dollars, cents, &c. !

2.

$85, 69, 7 Ans.

In 387543 mills, how many dollars, cents, &c.? 3. In 586085 mills, how many dollars, cents, &c.?

$387, 54, 3 Ans.

586, 08, 5 Ans.

REDUCTION BY DIVISION.

REDUCTION BY DIVISION* teaches to bring a low denomination to its equivalent value in higher denominations; and is the reverse of Reduction by Multiplication, and is proved by it. RULE. Divide the lowest denomination given, by so many of that lowest as make one in the next higher denomination; thus proceed with every ascending denomination, till you have brought the question into the denomination required.

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2. In 16963 farthings, how many pounds, shillings, &c.?

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3.

12)

20)

16

36

20

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Or thus: 4)16963

12)4240-3

210)3513-4

Ans. £.17 13 42

In 99628 farthings, how many pounds, shillings, &c. ?

This is called Reduction Ascending,

1.103 15 7 Ans

D 2

4. In 508742 farthings, how many pounds, shillings, &c.? £529 18 9 Ans.

Note. The foregoing and following questions are a proof to those in Reduction by Multiplication.

5. In 1998720 grains, how many pounds Troy? 347 Ans. 6. In 678618 grains, how many pounds, ounces, &c. Troy s 117lb. 9oz. 15pwt. 18gr. Ans.

8.

7. In 1720320 drams, how many tons ? 3 tons. Ans. In 22240 ounces, how many cwt. quarters, &c. ? 12cwt. 1qr. 18lb. Ans. 9. In 679680 grains, how many pounds Apothecaries' w❜t.?

118 lb. Ans.

10. In 2535 scruples, how many pounds, ounces, &c.?

11. 12.

8lb. 93. 53. Ans.

345 yds. Ans.

In 5520 nails, how many yards?
In 231 nails, how many yards, quarters, &c.?
14yds. 1qr. зna. Ans.

13. In 71850240 barley-corns, how many miles?

378 Ans.

Note. In the last question I bring barley-corns to yards, and then divide by 1760, the number of yards in a mile. 14. In 28160 yards, how many miles? 15. In 815443200 square inches, how many acres?

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16 Ans.

130 Ans.

Note. In the last question, I bring inches to yards, and then divide by 4840, the number of yards in an acre.

16. In 207360 cubic inches, how many tons of round timber? 3 tons Ans. 17. In 172800 cubic inches, how many tons of hewn timber? 2 tons Ans. 18. In 1105920 cubic inches, how many cords of wood? 5 cords Ans. 19. In 48384 gills, how many hogsheads of wine? 24 Ans. 20. In 4758 pints, how many hogsheads, gallons, &c. of wine? 9hhd. 25gal. 1qt. Ans. 21. In 15120 pints, how many hogsheads of beer? 35 Ans. 22. In 17824 gills, how many hogsheads, gallons, &c. beer? 10 hhd. 17 gal Ans. 23. In 1419120000 seconds, how many years?* 45 Ans. In 56638656000 seconds, how many years.* 1796 Ans. 25. In 8588160 minutes, how many lunar years?

24.

*

16yr. 5mo. Ans.

26. In 87950 cents, how many dollars and cents?

$879,50 Ans.

27. In 58987 mills, how many dollars, cents, &c. ?

$53,98,7 Ans

** In these questions I bring seconds to days, and then divide by 365.

MULTIPLICATION OF FEDERAL MONEY.

MULTIPLICATION OF FEDERAL MONEY.

35

CASE 1. When the price is dollars only, multiply the whole quantity by the price of one yard, pound, &c. the product will be the price of the whole quantity, in dollars.

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CASE II. When the price is cents only, multiply the whole quantity by the price of one yard, pound, &c. then cut off the two right hand figures of the product for cents, the left hand figures are dollars.

EXAMPLES.

2. To what will 216 yards

1. What will 125 yards

come to, at 75 cents per yd. ? | amount, at 25 cents per yard?

125

75

625 875

$93,75 Ans.

216

25

1080

432

$54,00 Ans.

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