4. What will 64 tons, 3'cwt. of potash come te, at $84.50 cts: per ton? Ans. $5420-67 cts. 5 m. 5. What will 38 cwt. 3 qr. 21'lbs. of sugar come to, at $11.52 cts.per cwt.? Ans. $448.55 cts. 47 m. 6. What will the wages of a servant come to før 70 years, 3 mo. 15 d. allowing 26 days to a month, and 12 months to a year, at $6.71 cts. 5 m. per year? Ans. $472.05 cts. 1m. CASE IV. Rules concerning boards, plank and other articles that are sold by the thousand, or hundred. RULE. If the article is sold by the thousand place a separatrix between the thousands and hun. dreds; the hundreds, &c. are decimals of a thousand ; if the article is sold by the hundred place the separatrix between the hundreds and tens; the tens are decimals of an hundred then multiply the price and quantity together the product is the an swer. Examples 1. How much will 10751 feet of boards come to, at $11.21 cents per thousand ? 2. How much will 1100 ft. of plank come to, at 33 dollars per thousand ? Ans. $36•30 cts. 3 How much will 941 feet of clear boards come to at $25 per thousand ? Ans.$23-52 cts. 5 m. 4. How much will 627 hoops come t, at $1.27 cts. per hundred ? 6•27 X1•275$7.967 Ans. CASE V. To multiply by fractional parts. Rule.- Multiply by the numerator and divide by the denominator, the quotient is the answer. Examples. 1. What is the value of of a ship, worth $10000 ? 10000 x 8 = 80000 10 $8000 Ans. 2. What is of a house worth, which is valued at $34707 Ans. $2478·57:1f. CASE VI. Of Weights and Measures. Rule. If the number is less than 12, multiply the weight of one by the number ; observing to carry as in compound addition ; if the number is more than 12, multiply by two such numbers as will make the number required; if there are no two such numbers, multiply by two such numbers as will come nearest, and for the other numbers add, or subtract as the case may be. Examples. 1. What is the weight of 9 casks of raisins, each weighing 3.cwt. 2 qr. 11 lb, 6 oz.? Cwt. gr. 3 2 2. What is the weight of 56 casks of raisins ; cach weighing 1 cwt. 2 qrs. 12 lb. ? Ans. 90 cwt. 3. What is the weight of 105 casks of tobacco; each weighing 3 cwt. 1 qr. 7 lb. ? Ans. 347 cwt. 3 qr. 7 lbs. E DECIMAL TABLES OF WEIGHTS AND MEASURES. TROY WEIGHT.-Ounces, pennyweights, and grains reduced to the decimal of a pound. dec. grs. 1 is .08337 12 is .00837 110. is 0425 7 is .00127 2 •16667 13 86 .00137 •01247 grs. dec. 3 66.24997 14 •01667 1 is .00017 9 "..00157 56.3333t 15 " .02087.2 *00037 110 •00177 5 66•00191 •41667 6 •02491 13 •00057 11 6 45 17 •02917 14 « •00071 12 " •00207 pwt. dec. 8 16.03337 5 “ .00087 136 • 0221 1 is .00417 19" •03747 16 “ .00101 114 “ .00247 OZ. AVOIRDUPOIS Weight:-Quarters, pounds, ounces, and drams reduced to the decimal of a cwt. grs. dec. dec. 168. dec. 168. dec. 1 is .25 5 is •0446t|13 is •11617| 6 is •00337 2 •5 6 *0535714 7 •125 •00397 3 •75 7 66•0627th 0%. dec. 8 •00447 lbs. 8 dec. dec. •07167 1 *00051 drs. 1 is .00897 9 •0805+| 2 •001171 1 •0000+ " .01787 10 •0894+ 3 " .00167 26.00007 3 •02677 11 " •098311 4 0000+ •00227| 3 4.“ .03577 12 4 •10721 56.002771 4 “ .00017 WINE MEASURE.—Gallons, quarts, and pints reduced to the decimal of a hogshead. gal. dec. gal. dec. gal. dec. gts. dec. 1 is .01587 15 is 07937 9 is •142871.2 is .00797 2 " 0317+ 16 •09527 10 •158773 6 01197 3 **04767 17 •1111t qts. dec. 4.06347 18 " .02697 1 " .0039tl 1 is .00191 dec. pts. DECIMAL TABLES OF WEIGHTS AND MEASURES. 1 APOTHECARIES' WEIGHT.---Ounces, drams, scruples, and grains reduced to the decimal of a pound. LONG MEASURE.---Furlongs, rods, yards, feet, and inches reduced to the decimal of a mile. 3 fur. dec, rds. dec. yds. dec, in. dec. 1 is •125 11. is .00317 1 is .0005t|1 is .000027 2 •25 25 .00627 2 ·00112 “ 000037 •375 .00937 3 66.001613 ·000047 4 u 4 01257 4 " .002274.“ •000067 •625 5 dec. 5 *000074 6 750 6 « •01871 it is .0001816 " .000091 7" .875 17 •02187 2 “ .00037t|7 “ .000111 5 Beer MEASURE.--Gallons and quarts reduced to the dec imal of a barrel. gts. gal. dec. gal. dec. gal. dec. dee. 1. is *02777 15 is •13887 9 is .24961 1 is .00697 2 •05547 16 •16627 10 •27737 « .01387 3. •1942+ 11 66.305001 •1.1087 18 02077 .22197 12 56.08317 17 •3327t| 3.“ 66. 5 DECIMAL TABLES OF WEIGHTS AND MEASURES. .5 LAND, OR SQUARE MEASURE.—Roods, rods, and yards, re duced to the decimal of an acre. roods. dec. rods. dec. rods. dec. yds. dec. 1 is 25 4 is .025 120 is •125 5 is .00104 2 5 •03127 80 6 •00121 3 75 dec. 7 •00147 rds. dec. 7 " .04377, 1 is .00027 8 •00167 1 is .00627 8 •05 2 •000471 9 •00187 2 0125 966•05621| 3 •00067 10 3 •0187+ 110 0625 •00087:20 " .00401 6 6.0375 \yds. SOLID MEASURE.-Feet and inches reduced to the decimal of a ton of round timber. ft. dec. 1 is .025 2 •05. 3 075 •1 dec. in. dec. in.. dec. 8 is •2 13 is 000071 10 is .00017 9 .225 14 •00007 20“.0002 10 •25 •00007 30“ •00041 20 •5 6“, •0000t! 40" •00057 in. dec. 17 •00007 50".0007+ 1 is. •000018 •0000f 100" .00141 21 •0000f|9 •0000f|1000" •01407 5.46. 125 Woop MEASURE.---Solid feet reduced to the decimal of a cord. 3.ft. . dec. 8.ft. dec. E.ft. dec. s.ft. dec. 1 is .00787 6 is 0468720 is .1567 70 is •5467 2 « •01567 7 •05467130 •23411 80 •6241 3 02347 8 ".06247|40 6.312+1 90 •7025 4 " •03127 9 " .07027150 •3901 100“ •7807 5 •0390f 110 " •07807 60“ •4687 110 “.8587 DRY MEASURE.--Pecks and quarts reduced to the decimal of a buskel. pks. dec. qts, dec. qte, dec. dec. 1 is. •25 li is •03147 13 is .0936+1 5 is •1564 2 •0624 4 •125 6 “ •18781 gts. |