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Q. What things are weighed by Troy weight? What are its denominations? Repeat the Table.

EXAMPLES.

1. Reduce 1676. 11oz. 15pwt. to pennyweights.

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2. In 25lb. 9oz. Opwt. 20gr.: how many grains?

3. Reduce 6490gr. to pounds.

We first divide by the number of grains in a pwt.; then by the pwts. in an oz.; then by the ounces in a lb.

Ans. 148340.

OPERATION.

24) 6490

20)270 10gr. remainder. 12)13.. 10pwt. remainder.

1. loz. remainder.

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Ans. 1lb. 1oz. 10pwt. 10gr.

4. In 678618 grains, how many pounds?

Ans. 1171b. 9oz. 15pwt. 18gr.

5. Reduce 8794pwt. to pounds.

Ans. 36lb. 7oz. 14pwt.

APOTHECARIES' WEIGHT.

§ 60. This weight is used by apothecaries and physicians in mixing their medicines. Its denominations are pounds, ounces, drams, scruples, and grains. The pound and ounce are the same as the pound and ounce in the Troy weight; the difference between the two weights consists in the different divisions and subdivisions of the ounce.

TABLE.

20 grains, gr. make 1 scruple, marked 9.

3 scruples
8 drams

1 dram,

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3.

3.

Ib.

16 3 3 Э gr.
1=12=96=288=5760

1=8=24= 480
1 = 3= 60
1= 20

Q. What is the use of the Apothecaries' weight? What are its denominations? Of what value are the pound and the ounce? Repeat the Table.

EXAMPLES.

1. Reduce 9 83 63 29 12gr., to grains.

We first multiply by the number of ounces in a lb., and at the same time add in the ounces. We next multiply by the number of drams in an ounce and add in the drams: we then multiply by the number of scruples in a dram and add in the scruples; and lastly, we multiply by 20 and add in the grains.

OPERATION.

9

12

116 ounces.

8
934 drams.

3

2804 scruples.

20

Ans. 56092 grains.

2. Reduce 27 93 63 19 to scruples.

3. Reduce 94 113 13 to drams.

Ans. 8011 scruples.

Ans. 9113 drams.

OPERATION.

4. In 56092 grains, how many pounds? We first divide by 20, the number of grains in a scruple: then by 3 the number of scruples in a dram then by 8 the number of drams in an ounce; and lastly by 12, the number of ounces in a pound.

20)5609 2
3)2804.. 12gr
8) 934..20.
12) 116. .63.
9b 83.

Ans. 983 63 29 12gr.

5. Reduce 24033 grains to pounds.

Ans. 4b 23 03 19 13gr.

6. Reduce 32044 scruples to pounds.

Ans. 111 33 13 19.

AVOIRDUPOIS WEIGHT.

§ 61. By this weight are weighed all coarse articles, such as hay, grain, chandlers' wares, and all the metals, excepting gold and silver.

Its denominations are tons, hundreds, quarters, pounds, ounces, and drams.

In this weight the words gross and net are used. Gross is the weight of the goods, with the boxes, casks, or bags, in which they are contained. Net is the weight of the goods only; or what remains after deducting from the gross weight, the weight of the boxes, casks, or bags.

A hundred weight is 112 pounds, as appears from the Table. But at the present time, the merchants in our principal cities, buy and sell by the 100 pounds.

TABLE.

16 drams dr. make 1 ounce, marked Oz.

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Q. What articles are weighed by this weight? What are its denominations? What does gross mean? What does net mean? What is a hundred weight? How do they buy and sell in the principal cities? Repeat the Table.

EXAMPLES.

1. Reduce 5T. 8cwt. 3qr. 24lb. 13oz. 14dr. to drams.

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2. Reduce 27T. 17cwt. 29qr. 2176. to ounces.

3. Reduce 94T. 19cwt. 1qr. to quarters. 4. Reduce 3124446 drams to tons.

4x4=16 {4)3124446

Ans. 1011472oz.
Ans. 7597gr.

4)781111

2

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Ans. 5T. 8cwt. 3qr. 24lb. 13oz. 14dr.

5. Reduce 108910592 drams to tons.

Ans. 189T. 18cwt. 2qr.

6. Reduce 2998128 ounces to tons.

Ans. 83T. 13cwt. Oqr. 7lb.

LONG MEASURE.

§ 62. Long measure is used when length only is considered. Its denominations are degrees, leagues, miles, furlongs, rods, yards, feet, inches, and barley-corns.

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statute miles

360 degrees

mi. fur. rd.

1 foot,

1 yard

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1 rod, perch, or pole, rd.

1 furlong,

1 mile,

fur.

mi.

1 league,

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1 degree

- deg. or°

a great circle, or circumference of the earth.

yd. ft. in.

1=8=320=1760=5280=63360

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1 = 12

NOTE. A fathom is six feet, and is generally used to measure the depth of water.

A hand is 4 inches, and is used to measure the height of horses.

Q. When is Long Measure used? What are its denominations? Repeat the table. What is a fathom? What is a hand?

EXAMPLES.

1. In 675 ft. 10in. 2bar.; how many barley-corns?

We first reduce the feet to inches and then add in the 10 inches: we next reduce the inches to barleycorns and add in the 2 barley-corns.

OPERATION.
675

12

8110

3

Ans. 24332 barley-corns.

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