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SUBTRACTION OF DECIMALS.

RULE.

Place the numbers according to their value; then sub tract as in whole numbers, and point off the decimals as in Addition.

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13. From an unit, or 1, subtract the millionth part of

-tself.

Aus. 999999

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. Multiply 5,236 by 008

EXAMPLES.

2. Multiply 5,024

Multiply

Product ,041888

3 Multiply 25,238 by 12,17
4. Multiply 2461 by ,0529
5. Multiply 7853 by 3,5
6. Multiply 007853 by ,035
7. Multiply 2004 by .004

2.23

6.74552

Answers, 307.14646

130.1869

27485.5

,000274855 000016

25

8. What cost 6,21 yards of cloth, at 2 dols. 32 cents, 5 Aus. 814, 4d. 30. 8,3%1 mil's per yard? 9. Multiply 7,02 dollars by 5.27 dollars.

Aus $6,9954duls, or $36 99ets. 5. 10. Multiply 41 dols. 23 cts. by 120 dollars.

11. Multiply 3 dols. 45 cts. by 16 cts

Aus. $4950

Ans. 80,5520≈55cts. 2mills.

12. Multiply 65 cents, by ,09 or 9 cents

Ans. 80,0585=5cts. 83mills.
Ans. 81

15. Multiply 10 dols. by 10 cts.
14. Multiply 341,45 dols. by ,007 or 7 mills.

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Ans. 82,59+

separa

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

So,425

S Multiplied by 10.

makes 4.25

makes 42,5

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by 100,

For 425×10 is 4,250, &.c.

DIVISION OF DECIMALS.

RULE.

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

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 divi dend 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 said quotient.

NOTE. If the decimal places in the divisor be more than those in the dividend, annex as many cyphers to the dividend as you please, so as to make it équal, (at least) to the divisor. Or, if there be a remainder, Jou may annex cyphers to it, and carry on the quotient to any degree of exactness.

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12. Divide 1 dollar by 12 cents.

8.338+

13. If 213 or 21,75 yards of cloth cost $4,817 dell's, what will one yard cost ?

$1,57

NOTE. When decimals, or whole numbers, are 1 be divided by 10, 100, 1000, &c. (viz. unity with cypirs)

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

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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 o the left hand of the said quotient.

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6. Reduce 17 to a decimal. Bring to a decimal.

3. What decimai is equal to

. Reduce to a decimal.

A

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75

,6875

.85

09375

,0370374

,333333 +

,1923076-4

.

Reduce 9
123 to its equivalent decimal.

Reduce to a decimal

,008

CASE II.

To reduce quantities of several denominations to a Decimal

RULE.

Bring the given denominations first to a vulgar fráction vy Problem 114. page 76; and reducé said vulgar fráction to its equivalent decimal ; or

RELE 2. Place the several denominations above vách other, letting the highest denomination stand at the bot tom: then divide each denomination (beginning at the top) by its value in the next denomination, the last quo tient will give the decimal required.

EXAMPLES.

1. Reduce 12s. 6d. Sqrs. to the décimal of a pound

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