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For since dollar is the money unit; and a dime being
the tenth, a cent the hundredth, and a mill the thousandth
part of a dollar, or unit, it is evident that any number of
dollars, dimes, cents and mills, is simply the expression
of dollars, and decimal parts of a dollar: 'Thus, 11 dollars,
6 dimes, 5 cents,=11,65 or 110 dol. &c.
2. Add the following mixed numbers together.

Ha

(3)

(4)
Yards.
Ounces,

Dollars.
46,23456 12,3456

48,9108
24,90400
7,891

1,8191
17,00411
2,34

3,1050
3,01111
-5,6

,7012

5. Add the following sums of Dollars together, viz, $12,54565+7,891 +2,34+14,+,0011

Ans. 836,57775, or 836, 5di. 7cts. 716 mills. 6. Add the following parts of an acre together, viz. ,75697,25+,654+,199

Ans. 1,8599 acres. 7. Add 72,5 +32,071+2,1574+371,4+2,75

Ans. 480,8784 8. Add 30,07 +200,71 +59,4+3207,1

Ans. 5497,28 9. Add 71,467+27,94+16,084+98,009+86,5

Ans. 300 10. Add ,7509+,0074+,69+,8408+,6109

Ans. 2,9 11. Add ,6+,099+,37+,905+,026

Ans, 2 12. To 9,999999 add one millionth part of an unit, and the sum will be 10.

13. Find the sum of
Twenty-five hundredths,
Three hundred and sixty-five thousandths,
Six tenths, and nine millionths,

Answer, 1,215009

SUBTRACTION OF DECIMALS.

RULE.

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Place the numbers according to their

value ; then subtract as in whole numbers, and point off the decimals as in Addition.

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12

13. 14

6. From 480 take 245,0075 Ans. 234,9925
7. From 236 dols. take ,549 dols. Ans. 8235,451
8. From ,145 take ,09684

Ans. ,04816
9. From ,2754 take ,2371

Ans. ,0383 10. From 271 take 215,7

Ans. 55,3 11. From 270,2 take 75,4075 Ans. 194,7925 12. From 107 take ,0007

Ans. 106,9993 13. From an unit, or 1, subtract the millionth part of stself.

Ans. ,999999

То

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MULTIPLICATION OF DECIMALS.

RULE.

1. Whether they be mixed numbers, or pure decimals

, place the factors and multiply them as in whole numbers.

2. Point off so many figures from the product as there are decimal places in both the factors; and if there be not so many places in the product, supply the defect by prefixing cyphers to the left hand.

1. quo!

EXAMPLES.

1. Multiply 5,236

by 2008

2. Multiply 3,024

by 2,23

Product ,041888

6,74352

3. Multiply 25,238 by 12,17

Answers, 307,14646 4. Multiply 2461 by ,0529

130,1869 5. Multiply 7853 by 3,5

27485,5 6. Multiply ,007853 by ,035

,000274855 7. Multiply 2004 by ,004

,000016 8. What cost 6,21 yards of cloth, at 2 dols. 52 cents, 5 mills per yard!

Ans. $14, 4d. 3c. 830m. 9. Multiply 7,02 dollars by 5,27 dollars.

Ans. 36,9954dols. or $56 99cts. 576m. 10. Multiply 41 dols. 25 cts. by 120 dollars.

Ans. $4950 11. Multiply 3 dols. 45 cts, by 16 ets.

Ans. $0,5520=55cts. 2mills. 12. Multiply 65 cents, by ,09 or 9 cents.

Ans. $0,0585=5cts. Smills. 13. Multiply 10 dols. by 10 cts.

Ans. $1 14, Multiply 341,45 dols. by ,007 or 7 mills.

Ans. $2,394

To multiply by 10, 100, 1000, &c. remove the separating point so many places to the right hand, as the multiplier has cyphers. Multiplied by 10,

makes 4,25 So ,425

by 100, makes 42,5

by 1000, is 425, For ,495 X10 is 4,250, &c.

DIVISION OF DECIMALS.

RULE.

1. The places of the decimal parts of the divisor and quotænt Cuunted together, must always be equal to those

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in the dividend, therefore divide as in whole numbers, and from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.

2. If the places in the quotient be not so many as the rule requires, supply the defect by prefixing cyphers to the left hand of aid quotient.

Note.--If the decimal places in the divisor be more than those in the divided, annes as many cyphe's

the dividend as you please, so as to make it equal, (at least) to the divisor. Or, if there be a remainder, you may annes cyphers to it, and carry on the quotient to any de gree of exactness.

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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

,038556 to 8. Divide 8246,1476 by 8604,25

,40736+ 9 Divide $186513,239 by 8504,81

61,9+ 10. Divide $1,28 by $8.31

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

,5 12. Divide 1 dollar by 12 cents.

8,353 + 13. If 21 or 21,75 yards of cloth cost 34,317 dollars, what will one yard cost ?

81,577 NOTE.-_When decimals, or whole numbers, are to be divided by 10, 100, 1000, &c. (viz, unity with cypliers)

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it is performed by removing the separatrix in the dividend, so many places towards the left hand as there are cyphers in the divisor.

1.XAMPLES.

10, the quotient, is 57,2 572 divided by 100,

5,72 1000,

,572

REDUCTION OF DECIMALS.

CASE 1. To reduce a Vulgar Fraction to its equivalent Decimal.

RULE. Annex cyphers to the numerator, and divide by the denominator; and the quotient will be the decimal required.

Note. So many cyphers as you annex to the given numerator, so many places must be pointed in the quotient; and if there be not so many places of figures in the quotient, make up the deficiency by placing cyphers to the left hand of the said quotient.

EXAMPLES. 1. Reduce to a decimal.

8)1,000

Ans. ,125 2. What decimal is equal to ? Answers. 3. What decimal is equal to ? 4. Reduce š to a decimal. 5. Reduce it to a decimal.

,6875 6. Reduce it to a decimal.

,85 7. Bring to a decimal.

,09375 8. What decimal is equal to

,037037+ 9. Reduce } to a decimal.

,333333 + 10. Reduce 123 to its equivalent decimal.

,008 11. Reduce o to a decimal.

,1923 076+

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