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EXAMPLES.

† 24. divided by .75, givest 24. divided by .5, gives 48.

32 for a quotient.

.75)24.00(32.

for a quotient.
.5)24.0(48.

225

.1 50

150

20

.40

40

NOTE: When the number of decimal places in the divisor and dividend are equal, the quotient will be whole numbers.

Rule in Multiplication of Decimals.

Point off so many decimals in the product, as there are in the two factors counted together.

RULE IN DIVISION.

Of Division. The decimals in the divisor and quotient, counted together, must be equal in number to the decimals in the dividend.

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1st. In Division, begin by counting the Decimals in the dividend; then begin again and count the Decimals in the divisor, turn from that to the right of the quotient and continue counting towards the left, till you have a number equal to the Decimals in the dividend; there place the point.

2d. If, after Division is performed, there is not a sufficient number of Decimals in the divisor and quotient, counted together, then prefix ciphers to the quotient, till the deficiency in number is made good.

3d. When the dividend is too small to admit the divisor, annex cyphers to the dividend; five in number for a general rule, but sometimes less, and sometimes more, according to the nature of the case under consideration.

END OF PART SIXTH.

INTRODUCTION TO ARITHMETIC.

PART VII.

CONTAINING

REDUCTION OF WEIGHTS AND MEASURES, AND DUODECIMALS.

KEY TO CARD No. 28.

This Rule is used in reducing large denominations to small ones, as, pounds to shillings, pence, &c called Reductoin descending, or in reducing small denominations to large ones, as, farthings to pence, shil. lings, &c. called Reduction ascending; but these niceties are unworthy the attention of men in business: The main thing is to understand how to calculate with accuracy and despatch.*

We shall therefore attend to such lessons as will most probably happen in the common business of life; and study out those of amusement, when time, circumstances, and propriety will admit.

AVOIRDUPOIS WEIGHT.

16 drams, marked dr. make 1 ounce,

16 ounces make 1 pound,

28 pounds, 1 quarter of a hundred weight,
4 quarters, or 112 lbs. 1 hundred weight,
20 hundred-weight, 1 ton,

60 pounds 1 bushel of wheat in New-York,
112 pounds a quintal of fish.

Oz.

lb.

qr.

cwt.

T.

B.

ql.

* * Despatch is more modern than dispatch.

LESSON 1.
In 1440 lbs. of wheat,
many bushels?
Answer; 24 B.
Directions:

how

a hundred weight, and add the 2 qrs. in the given suri makes 58 qrs:

2. Multiply this sum by 28, the number of pounds 1440-60-24 for an answer in a quarter, and add the That is, 1440 divided 25 lbs. of the given sum, by 60 equals 24 for an an-which will make for an

swer.

6|0)144|0
24 B.

answer, 1649 lbs.
14X4+2=58.

In 18000 lbs. of wheat,

LESSON 2.

58X28+251649.
Thus: 14 multiplied by

how many loads, at 204 added to 2 equals 58.

bushels each?

Answer, 15 loads. 1800060-2015 for

an answer.

That is, 18000 divided, by 60, divided by 20, equals 15 for an answer.

LESSON 3.

Bought 4 loads of wheat

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weighing as follows:

489

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74 divided by 4 equals

18 and 2 qrs. over.

ib.

28)2072(74 qrs.

196

. 112

112

000

qrs.

4)74

18 cwt. 2 qrs.

NOTE. Let all learners understand the ground Rules before meddling with weights end measures.

TROY WEIGHT.

24 grains, marked gr. make 1 pennyweight,

20 pennyweights,

12 ounces,

1 ounce,

1 pound,

pwt.

oz,

lb.

By this weight, gold, silver, jewells, electuaries, and all liquors are weighed; but it is seldom used in the United States.

Merchants that receive considerable sums of gold, overseers of the mint, banking houses and silversmiths, make use of this weight.

NOTE.-A carat is the twenty-fourth part of any quantity or weight.

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