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EXAMPLES.

1. Multiply 5,236

by ,008

2. Multiply 5,024

by 2.23

Product ,041888

6.: 1552

3 Multiply 25,238 bv 19,17 Nnsurers, 307.14646 4. Multiply 2401 boy ,0529

1311,1809 3. Slultiply 1853 by 3,5 .

2487,5 6. Multip!,107853 bv 90:35

,000-2: +855 7. Multiply 007 loy 1904

000016 8. What cost 6,21 yarıls of cloth, at 2 cols. 32 cents, i miills per, variti

Ans. Silt, til. st. 8,60M, 9. Multiply : 02 dollars by 5.2 dollars.

His 30,9954düls. ur Sjö 9.rts. 51cm. 10. Multiply 41 dols. 23 c!s. by 120 dollars.

dues. 84950 11. Multiply 3 duls. 45 cts. by 16 cts

Ans. 80,5520) = 55ets. 2mills. 12. Multiply 65 çents, by 969 or 9 cents

Ans. 80,0585=icis. 8 mills. 13. Multiply 10 dols. by 10 cts.

Ans. 81 14. Multiply 341,45 duls. by ,007 or 7 mills.

Ans. 82,39+

To multiply by 10, 190, 1000, &r.

remove the

separating point so many places to the right hand, as the sultiplier las cypher's

Multiplied by 10, makes 4.25
Su ,425

by lli), m 2,5

by 1000, is 495, , For ,425 x 10 is 4,250, $.c.

DIVISION OF DECIMALS.

RULE.

1. The places of the decimal parts of the divisor and Lotwnt counted together, must always be equal to those in the dividend, therefore divide as in whole numbers, and from the right hand of the quotieut, point of so many places for decimals, as the decimal places in the divi tend exceeil those in the divisor.

2. If the places in the quotient be got so many as the rule requires, supply the defect by pretising cyphen's to Wie leit baeid of said quotient.

Note-If the decimal places in the diriger be more than those in the divniend, annex as many cyphers to the livider:d as you pleas, so as to maha ii amual, (ai least) to the divisor.fr, if there be a remainder, you may annos cypisers to it, and carry on tiie quutient luariy chee gree of exactress.

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00 3 Divide 780,517 by 24,3 Answers. 32,12 4 Divide 4,18 by ,1812

,25068+ 5. Divide 7,25406 by 957 6 Divide ,00078759 by ,525

,00150+ 7. Divide 14 by 365

,038356+ 8 Divide 8246,1476 by 8604,25

,417-36+ 9 Divide $186515,239 by 8304,81 61!,9+ 10. Divide $1,28 by $8.31

,154+ 11. Divide 56 cts. by 1 col. 12 cts.

,5 12. Divide 1 dollar by 12 cents.

8.333.+ 13. Il 213 or 21.: 5 värils of cloth cost 54,31: chlor's, what will onle yaru cost?

$1 Nore. When deciinals, or wile numbers, are 1 be divided by 10, 100, 1000, &c. (viz. unity with cyplrs)

e it is performed by removing the separatrix in the divi

den, so many places towards the left hand as there are cyphers in the divisor.

XAMPLES.

10, the quotient; ts 57,2 572 divided by 100,

5,2 1000,

,572

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CASE I.
To reduce a l'ulgar Fraction to its equivalent Decimal.

RULE.
Annex cyphers to the numerator, and divide by the
Jenommator; and the quotient will be the decimal re-
quired.

NoTE. So znany cyphers as you annex to the given roumeratur, so many places inust be pointed in the quolient; and if there be it so many places of figures in the quotient, make up the deficiency by placing cyphers on the left hand of the said quotient.

EXAMPI.ES. 1. Reduce to a decina!.

8)1.000

ACT

Ans. ,125 2. What decimal is equal to Ansuers. isy What decimal is equal to ?

,05 Recce štu a vlecimal. Recluce to a leemal.

,6875 Rooluce li to a decimal.

.85 Bring to a decinial.

.89,3:5 3. What decimal is equal to

equal to g!? ,037 20.3.. Reduce to a clpcimal.

,333333 + Reduce is to its equivalent decimal. ,00)8 Reduce tu a deciuial

,1923076-40 CASE II.

3.

To reliee quantities of sereral denominatinnston Decimal

4.

RUI.E.

5

cim

6.

Bring the viven denominations first in a vulgar Práction uy Prohlom 111. pingeifi: anil reduce said vulgar fräction to its coquivalent decimal : or

Rele. Place the several denominationis alive which other, letting the highest denomination stand at the bit. tom: then divide each denomination (Beginning at the top) by its value in the next denomination, the lasi 0; 40tient will give the decimal required.

N

with

ifth

then yres

EXAMPI.E.S.

7.

1. Reduce 12s. Gd. Syrs. to the decimal of a pound

12

8.

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24110 1970

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% Reduce 15s. 9d. 3qrs. to the decimal of a pound

Ans. ,790625 3. Reduce 9d. Sqrs. to the decimal of a shilling:

Ans. ,8125 4. Reduce 3 farthings to the decimal of a shilling.

Ans. ,0625 5. Reduce 3s. 4d. New-England Currency, to the decimal of a dollar.

Ans. ,555555+
6. Reduce 198. to the decimal of a pound. Ans. 96
Note. When the shillings are even, half the number
with a point prefixed, is their decimal expression ; but
if the number be odd, annex a cypher to the shillings, and
then by halving them, you will have their decimal ex-
ression.
7. Reduce 1, 2, 4, 9, 16 and 19 shillings to decimals.
Shillings '1

9 16 19
Answers. ,05 ,1 ,2 ,45 ,8 ,95
8. What is the decimal expression of 4. 195. 6jd.

Ans. £4,97708+ 9. Bring 341. 168. 71d. into a decimal expression.

Ans. £34,8322916+ 10. Reduce 251. 198. 5%d. to a decimal.

Ans. £25,972916+ 11. Reduce Sqrs. 2na. to the decimal of a yard.

Ans. ,875 12. Reduce 1 gallon to the decimal of a hogshead.

Ans. ,015873 + 13. Reduce 707. 19pwt. to the decimal of a lb. troy.

Ans. ,6625 14. Roduce Sqr. 211b. Avoirdupois, to the decimal of an cwto

Ans. ,9375 15. Reduce 8 roods, 16 perches to the decimal of an

Ans. ,6 16. Reduce 2 feet 6 inches to the decimal of a yard.

Ans. ,833333+ 17. Reduce 5fur. 16po. to the decimal of a mile.

Ans. ,675 18. Reduce 4} calendar months to the decimal of a

Ans. 375 Il year.

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