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INTRODUCTION TO ARITHMETIC,

PART VIII.

CONTAINING,

REDUCTION OF WEIGHTS AND MEASURES, DUODECIMALS, REGULATIONS OF OLD LINES, AND THE METHOD OF MAKING NATURAL RADIUS.

REDUCTION.

KEY TO CARD No. 28.

THIS Rule is used in reducing large denominations to small ones, as, pounds to shillings, pence, &c. called Reduction descending, or in reducing small denominations to large ones, as, farthings to pence, shillings, &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,

lb. 28 pounds 1 quarter of a hundred weight,

qr. 4 quarters, or 112 lb. 1 hundred weight, cwt. 20 hundred weight 1 ton,

T. 60 pounds 1 bushel of wheat in New York, B.

OZ.

Despatch is more modern than dispatch.

KEY TO CARD No. 28.

answer.

LESSON 1.

2. Multiply this sum by 28, In 1440 lb. of wheat, how the number of pounds in a many bushels ? Ans. 24 B.

quarter, and add the 25 lb. DIRECTIONS.

of the given sum, which will 1440-60=24 for an answer. |make for an answer, 1649 lb.

That is, 1440 divided by 14x4+2=58. 60 équals 24 for an answer. 58x28+25=1649. 610)1440

Read thus : 24 B.

14 multiplied by 4 added LESSON 2.

to 2 equals 58. In 18000 lb. of wheat, how 58 multiplied by 28 added many loads at 20 bushels Ito 25 equals 1649. each? Ans. 15 loads.

OPERATION. 18000:- 60+20=15 for an

cwt. qrs. 16.

14 2 25 That is, 18000 divided by

4 60, divided by 20, equals 15 for an answer.

58 LESSON 3.

28 Bought 4 loads of wheat weighing as follows:

489 1 load, 1235 lb.

116 2

1245 3 1231

1649 4 1242

LESSON 5. 60)49513 Bring 1649 pounds into

82 33 lb.||hundreds, quarters, and How many pounds and bush- pounds. els in the whole ?

Ans. 14 cwt. 2 qrs. 25 lb. Answer, 4953 lb. or 82

DIRECTIONS. B. 33 lb. over.

1649-28=58 and 25 lb. LESSON 4.

over. In 14 cwt. 2 qrs. 25 lb. how

58+4=14 and 2 qrs. over.

Read thus:
DIRECTIONS.

1649 divided by 28, equals 1. Multiply 14 by 4, the 58 and 25 lb. over. number of quarters in a hundred weight, and add the 2) and 2 qrs. over.

58 divided by 4, equals 14 qrs. in the given sum, makes

many lb.?

58 grs.

KEY TO CARD No. 28.

14 2 qrs.

cwt. qrs.

74 qrs.

OPERATION.

qrs. 28)1649(58 qrs.

4)74 140

18 cwt. 2 qrs.

LESSON 7. .249

In 18 cwt. 2 qrs. how ma.224

ny ounces? Ans. 33152 oz.

DIRECTIONS. . 25 lb.

18X4+2=74 qrs. 4)58

74x28=2072 lb.

2072x16=33152 oz. LESSON 6.

OPERATION. In 33152 ounces, how many hundred weight?

qrs. 18 2

74 Ans. 18 cwt. 2 qrs.

4

28 33152-16=2072 lb. 2072-28=74 qrs.

592 74+4=18 cwt. and 2 qrs. over.

148 Read thus, 33152 divided by 16 equals

2072 lb. 2072 lb. 2072 divided by 28 equals

16 74 divided by 4 equals 18

12432

2072 and 2 qrs. over. OPERATION.

33152 oz. 16)33152(2072 lb.

KEY TO CARD No. 29. 32

LESSON 8.

Bought 4 hogsheads of to112

bacco weighing as follows. . 32

cwt. 32

1 Hhd. 12 1 14 2

11 2 21 00

3

12 3 15 Ib.

4

12 0 25 28)2072(74 qrs. 196

49 0 19 What is the weight of the

whole ? 112

Answer, 49 cwt. 19 lb. or, 000

12 T. 9 cwt. O qr. 19 lb.

74 qrs.

. 115

qrs. lb.

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. 112

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