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Practical Questions in Solid Measure. in ; a ;
1. A man had 249 tons 12 feet of round timber lying there remained in the dock 142 tons, 12 feet, 1721 inches; I demand the quantity lost,
Ans, 106 tons, 39 ft. 7 in. 2. What is the difference between 49 tons 39. feet'; and 27 tons, 38 feet, 1272 inches?
Ans. 22 tons, O feet, 456 inches. 3. A stone cutter had on hand 1427 feet of stone; he sold 192 feet, 1427 inches ; I demand the quantity unsold,
Ans. 1234 feet, 301 inches.
Practical Questions in Wood Measure. 1. A wood seller bought 127 cords, 120 solid feet of wood; and sold 100 cords, 101 solid feet ;,
how much had he left on hand ?
, . 2. A coaster freighted his vessel with 65 cords, 118 solid feet of wood ; in a storm he was obliged to light her by throwing wood overboard; when she arrived in port, there was but 21 cords, 106 solid feet on board; I demand the quantity lost.
3: What is the difference between 27 cords, 104 feet; and 19 cords, 125 feet?
Ans. 44 cords, 12 ft.
Ans. 7 cords, 107 ft.
Practical Questions in Dry Measure. 1. What is the difference between 7953 chal. 13 bushels; and 3789 chal. 35 bushels ?
Ans. 4163 chal. 14 bushels. 2. A merchant in Boston had a vessel coming from Virginia freighted with 2478 bushels, 3 pecks of.com; in a storm she was lighted by shovelling corn overboard; on her arrival in port, she had but 2027 bushels, 1 pk. on board; I demand the quantity lost.
Ans. 451 bu. 2 pks.
109 2 3
2 5 0
Practical Questions in Cloth Measure. 1. A dealer in clothes had 3 pieces containing in all 80 yards, 3 grs; he sold 51 yards, 3 qrs. 3 pails; I de, mand what he had left.
Ans. 28 yds. 3 qr. 1 na. 2. A merchant bought 6 pieces of cloth, each piece containing 26 yds. 3 gr. 3 na.; he sold two pieces; how many yds, had he left?
Ans 107 yds. 1. gr.
15 356 15
Practical Questions in Time. 1. Aman hired a servant for 6 years, 4 months, 3 weeks, 6 days; and he stayed 7 years, 5 months, 3 weeks; how much longer did he stay than he first agreed to ?
Ans. 1 yr. I mo. 3w. Id. 2. What is the difference between 21 years, 6 months, 3 weeks, 4 days, 12 hours; and 19 years, 9 months, 2 weeks, 6 days, 21 hours?
Ans. 1 yr. 10 mo. U w., 4d. 15 h.
CASE II. When the time is expressed in years and callender months
and days.* RULE.-Write down the latest date first, (consider whether the month is the first, second, or third, &c. if it is January, write d in the column of months; ifit is Febr ruary, write 2; if March 3, &c.; and after writing the months, write the day of the month) and then write down the other numbers under those of the same denomination ; subtract, and the remainder is the difference be. tween the two dates.
Examples. 1. What is the difference of time between the 16th day of February 1800; and the 19th day of May 1806?
3 Ans. Nore.--In this example the latest year is written first, May being the fifth month, 5 is put in the column of months, and the day of the month, in the column for days: and then the other denominations are put uuder those of the same name.
2. How long between the 15th day of June 1729, and the 30th day of August 1806, inclusive?
Ans. 77 years, 2 months, 15 days.
* OBSERVE THE FOLLOWING TABLE. January is the first month,
July is the 7th month 2d
3d September April
9th . Toth - 11th
3. I was born the 7th day of May, 1777 ; what is my age, it being the 20th day of June 1810?
Ans. 33 years, 1 month, 13 days. 4. A. gave B. his note on interest, dated the 21st of August 1804 ; on the 29th day of November 1809, the note was paid : I demand the time that the note was at interest.
Ans. 5 years, 3 months, 8 days.
DECIMAL FRACTIONS. DEFINITION.-Decimal Fractions are parts of whole numbers, and are separated therefrom by a point called the separatrix, thus, 12.5 : which is 12 and 5 tenths, or 12}; all the figures, which stand at the left of the separatrix are whole numbers; those on the right, are frac. tions. An unit is supposed to be divided into ten equal parts, and the figure next the separatrix on the right expresses the number of those parts ; 'again, one of these partsis supposed to be divided into ten more equal parts; and the next figure in decimals expresses the number of those parts, &c. Thus decimals decrease in a tenfold proportion, as they depart from the separatrix; thus •5 is 5 tenths; .05 is 5 hundredths; and .005 is 5 thousandths, &c. Cyphers placed at the right hand of decimals do not alter their value •5.50 and 500 aré decimals of the same value and equal to .5.
NOTE---By the table it is evident that the value of figures increase in whole numbers, as they depart from the separatrix; and in the fractions, the value of the figures decrease as they depart from the separatrix.
ADDITION OF DECIMALS.
Rule.Write down the several numbers to be added, so that units may stand under . units ; tens under tens ; hundreds under hundreds ;, and the fractions must stand tenths under tenths; hundredths under hundredths, &c.
The several decimal points must stand directly under one another, then add the several sums together in the same manner as in Simple Addition. Separate the sum total by placing the separatrix under those directly above.
Practical Questions. 1. Add 504:29, 64:1, 23.09 and 55.6 together. Ans. 647.08
Note.--Dimes, cents and mills are decimals of a dollar; one dime is one tenth ; one cent is one hundredth, one mill is one thousandth : therefore the addition of American money, is the addition of decimals.
2. Add $1327:64 cents ;-S234196 cents 9 mills : and $1572 21 cents together. Ans. $5241.819. 3. Add 46-969, 6.01 and 946 together.