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TROY WEIGHT. Adding up the grains, we find OPERATION. their sum to be 47; that is, 1pwt. 16. oz. pwt. gr. and 23gr.: setting down 23, and 11 8

18 19 carrying 1 to the pennyweights, 114 9 6 16 we find their sum to be 42: 223 10 17

12 that is, 2oz. and 2 put. Carrying 350 5 2 23 2 to the ounces, we find their sum to be 29; that is, 2lb. and 50.: carrying 2 to the pounds, and adding, we find their sum to be 350.

16. Add 100

432
80
7
0

0 Sum 621

oz. pwt. gr. 10 19 20 6 0 5 3 2 1 0 0 9 11 10 23 0 8 9 8 1 19

16. oz. pwt. gr. 171 6 13 14 391 11 9 12 230 6 6 13 94 7 3 18 42 10 15 20 31 0 0 21 962 6 10 2

APOTHECARIES' WEIGHT. ib 3 3 3 gr.

3 gr. 24 7 2 1 16

2 1 17 17 11 1 2

19

4 2 14 36

6 5 0 7 4 0 1 19 15 9 7 1

2 5 2 11 9 3 4 1 9 10 1 2 16 16 10 3 2

8 7.1 13

317

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13

17

cwt. qr.

AVOIRDUPOIS WEIGHT.
16.
oz. dr.

ton. cwt. gr. lb. 14 1 25 14 9

15 12 1 10 13 2 20 1 15

71 8 2 6 9 3 6 7 3

83 19 3 15 10 0 18 12

36 7 0 20 7 2 27 3 2

47 11 1 27 6 1 19 8 1

63 5 2 19 4 3 0 15 5

12 13 1 14 12 2 0 0 13

9 7 0 5 79 2 6 15 11

340 5 2 8

11

oz. 10 0 5 14 11 7 9 10

2

A merchant bought 4 barrels of potash of the following weights, viz. 1st, 3cwt. 1gr. 25lb. 12oz. 3dr.; 2d, 4cwt. lqr. 211b. 4oz.; 3d, 4cwt.; 41h, 3cwt. 3qr. 271b. 1502. 15dr.: What was the entire weight of the four barrels ?

Ans. 15cwt. 3qr. 1916. Ooz. 2dr.

LONG MEASURE.
L. mi. fur. rd.

yd. ft. in. bar.
16 2 39

90 2 11 2
327 1 2 20

155 1 9 1
87 0 1
15

327 0 7 0
1 1 1 1

50 2 1 432 2 4 35

624 1 5

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E. Fl. qr. na. 126 4 4 65 3 1 72 1 3 157 2 2 424 0 2

CLOTH MEASURE.

yd. qr. na.
4 3 2
5 4 1
6 1 0
25 2 2
42 3 1

E. E. qr. na. 128 5 1 20 3 1 19 1 4 15 3 1 184 3 3

LAND OR SQUARE MEASURE. Sq.yd. Sq.ft. Sq. in. M. A. R. P. 97 4 104

1 700 3 37 22 3 27

6 375 2 25 105 8 2

7 450 1 31 37 7 127

30

0 25 263 5 116

27 277 0 38

11

There are 4 fields, the 1st, contains 12A. 2R. 38P.; the 2d, 4A. 1R. 26P.; the 3d, 85A. OR. 19P.; and the 4th. 57A. IR. 2P.: how many acres in the four fields ?

Ans. 159A. 2R. 5P.

SOLID OR CUBIC MEASURE.
S. yd. S. ft. S. in.

C. S. ft. C. Cord feet. 65 25 1129

16 127

87

9 37 26 132

17
12
26

7 50 1 1064

18 119

16

6 22 19 17

37 104

19 5 176 18 614 90 . 106 151

3

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WINE MEASURE. hhd. gal. qt. pt.

tun. pi. hhd. gal. qt. 127 65 3 2

14 2 1 27 3 12 60 2 3

15 1

2 25 2 450 29 0 1

4 2 1 27 1 21 0 2 3

5 0 1 62 3 14 39 1 2

7 1 2

2 627 7 1 1

50 0 1 38 3

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SUBTRACTION OF DENOMINATE NUMBERS.

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1. John has 3s 6d and gives ls 4d for a knise : how much has he left ?

Ans. 2s 2d. 2. James has 4s 8d and gives 2s 3d for a bunch of quills : how much has he left?

Ans. 2s 5d. 3. What is the difference between £27 16s 8d and £19 17s 9d.!

In this example we cannot take 9d from

OPERATIONS. 8d; we therefore add £

d £

d 12d to the 8d making 27 16 8 26 35 20 20d, and then

say,

9 19 17 9 19 17 9 from 20, 11 remains.

7 18 11 7 18 11 Set down the 1l, and carry 1 to 17 making 18: then say, 18 from 36 leaves 18: set it down and carry one to 19 making 20: 20 from 27 leaves 7.

Or we may set down the minuend as on the right: £26 35s 20d. Then 9 from 20 leaves 11; 17 from 35 leaves 18; and 19 from 26, 7 remains.

§ 72. Hence; for the subtraction of denominate numbers we have the following

RULE. 1. Set down the lesser number under the greater, placing the same denominations directly under each other.

JI. Begin with the lowest denomination, and if the number expressing that denomination be less than the number directly over it, make the subtraction as in simple numbers. But if it be greater, subtract it from the upper number increased by so many units as make one unit of the next higher denomination, and carry this one which has been borrowed to the next higher denomination, as in subtraction of simple numbers.

III. Do the same for all the denominations, and set down the several remainders, and they will form the true remainder.

PROOF.

Add the remainder the subtrahend-their sum should be equal to the minuend.

Q. How do you write down the numbers for subtraction? Where do you begin to subtract? When the number to be subtracted is less than the one above it, what do you do? When it is greater, what do you do? How do you prove Subtraction ?

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7. From 38mo. 2wk. 3da. 7hr. 10m., take 10mo. 3wk. 2da. 10hr. 50m.

Ans. 27mo. 3wk. 20hr. 20m. 8. From 176yr. 8mo. 3wk. la., take 91yr. 9mo. 2wk. 6da.

Ans. 84yr. 11mo. 5da. 9. From 6 tuns, take 3hhd. 15gal. 3qt.

Ans. tuns. gal. qt. 10. From £3, take 3s.

Ans. £2 17s. 11. From 216., take 20gr Troy.

Ans. 11b. 11oz. 19pwt. 4gr. 12. From 815, take 1 i 13 23 23.

Ans. ѣ 5 3 Э. 13. From 9T., take 1T. 1cwt. 2qr. 2015. 15oz. 14dr.

Ans. 7T. 18cwt. lor: 71b. Ooz. 2dr. 14. From 3 miles, take 3fur. 19rd.

Ans. 2mi. 4fur. 21rd.

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