If a man's salary is $3650,40c. a year; what is that a day? A. $10,00c.1m. Bought 36 lb. of sugar for $10,50c. ; what is that a pound? A. 29c.1'm. If you buy 383 yds. of broadcloth for 5036 dols. 50 cts.; what is that a yard? A. $13,15c. If a man's wages is 365 dols. 40 cts, a year, or 52 weeks;; what is that a week? A. $7,02c.6. A. Total $1375,82c.4m. Among 3 A. Total Among 45. Among 70. Among 85 A. Total $53,27c.3m. Divide 1000 dols. 60 c. equally among 2 men. men. Among 4. Among 6. Among 8. Among 10. Among 15. Among 18. $262,37c. Among 28. Among 35. Among 60. A. Total $128,24c.9m. Among 95. Among 100. Among 150. Among 200. Among 240. Among 360. Among 400. Among 550. A. Total $16,27c.1m. Among 17. Among 19. Among 89. Among 98. Among 199. A. Total. $138,00c.1.m. SUPPLEMENT TO FEDERAL MONEY. What is the coin of the United States called? A. Federat Money. By what authority? A. Congress. Which is the money unit? A. Dollars. What places do dollars occupy then? A. The place of units. How are dollars distinguished from dimes, cents, and mills A. By a comma, or separatrix at the right of dollars. What are the figures on the left of dollars? A. Eagles. What is the first figure on the right of dollars? A. Dimes. What is the second figure? A. Cents. What is the third figure? A. Mills. How many of these coins are real? A. 4. Name them. A. The eagle, the dollar, the dime and the cent.. Which is a gold coin? A. The Eagle. Which are the silver coins? What is a copper coin? A. A. The dollar and the dime. Which is imaginary? A. The mill, as there is no piece of money of that denomination. How many dollars in 2 eagles? (See the Table of Federal Money.) How many ciphers do you annex to eagles then, to bring them into dollars? How many dollars in 40 eagles? How many eagles in 800dellars? How would you bring dols. into eagles then? A. Cut off 1 cipher or figure at the right for dols. the left will be eagles. How many dimes in 2 dollars? How many cipher's do you annex then to dollars, to bring them into dimes? How many dimes in $30? In $65? In $45? How many dols. in 300 dimes?" In 650 dimes? In 450 dimes? How many figures or ciphers do you cut off, to bring dimes into dollars? How many cents are $2? How many ciphers do you annex then to dols. to bring them into cts. ? How many cents in 5 dollars? In $8? In $10? How many dols. in 500 cts.? In 800 cts.? In 1000 cts.? How many cents are $2,16 cts.? How do you bring dollars and cents into cents? A. Remove the separatrix. How many cents are $3,25cts.? Are $5,81cts.? How many dollars in 325 cts.? How do you bring cents into dollars then? A. Cut off the 2 right hand ciphers or figures. How many dollars in 2563 cts.? In 5896 cts. ? In 8000 cts.? How many ciphers do you annex to dols. to bring them into mills? A. 3. How many mills in $8? In $6? In 7? How many figures or ciphers do you cut off to bring mills into-dols.? A. $3. How many dols. are 8000 mills? How many mills in 2 cts.? How many cyphers do you annex then to cents, to bring them into mills? How many mills in 80 cents? In 75 cents? How many cents in 800 mills? In 750 mills? MISCELLANEOUS EXAMPLES.-How many dols. are there in 5 Eagles? In 20 E.? In 80 E.? In 75 E.? In 60 E. ? How many cents in $5? In $25? In $72? In $6? In $45? How many dollars in 500 cts.? In 2500 cts.? In 7200 cts? In 600 cts.? How many mills in 8 cents? In 8 dimes? In 8 dols.? How many dollars in 2345 cts.? In 2505 mills? In 6125 mills? MULTIPLICATION BY FRACTIONS. In Fractions; what is the figure above the line, called? A. Nu merator. ? For example. Which is the numerator in! 6 7 8 9 5 For example. Which is the denominator in 19. 17. 15. What is a mixed number? A. A whole number with a fraction. Give an example. A. 15, 16, 1986, 2035, &c. To multiply by a mixed number; what is the first step? A. Multiply by the whole number first. Where do you write the multiplicand, to multiply by the fraction? A. In another place. Which part of the fraction do you multiply by, when so written? A. The numerator. What do you divide by? A. The denominator. What is the quotient to be added to ? A. The first product. Exercises for the Slate. What will 2 yds. of cloth cost at 28 cts. a yd.? 28 28 56 den. 7)140 20 20 cts. Ans. 76 cts. What do you multiply first by? A The whole number. How much does it make? Where do you write 28? A. In another place. What do you multiply it by? What do you divide by? What do you add the quotient to? At 16 cts. a yard, what will 10% yards of linen cost? A. $1,74c. At 30 cts. a bushel; what will 19 bushels of oats cost? A. $5,92c. Tell me how many yards 50 rods are, or multiply 50 by 5. A. 275, What will 22 yds. of cloth come to, at $11 a yard? What will 224? What will 23? 37? 31++? 99 ? A. Total $2239. What will 24 yds. come to at 12 dollars a yard? What will 57 6387 103? 153? 254? A. Total $898. If a man's salary be $1200 a year; what will 2 years come to? What will 3? 52? 8555? 12588? A. Total $38398. Now let us see if we can explain why we divide in multiplying by a fraction, for doubtless it has appeared rather strange. In multiplying by a whole number, we take the multiplicand as many times as there are units in the multiplier; and in multiplying by one then; how many times do you take the multiplicand? A. 1. Give an example. Now it is plain that if we multiply by any thing less or more than 1, the product will not be the same as multiplying by 1 will it be less or more than if multiplied by 1 then, by multiplying by any thing less than one? How can you find out how much it will be? A. By Division To multiply by for instance, explain how it is done. A. As I take the multiplicand once in multiplying by 1, so I must take of 1 to multiply by, for the multiplier is of 1, and the multiplicand must be taken half as much; and in that proportion, in multiplying by any other number. DIVISION BY FRACTIONS. To divide by a whole number joined with a fraction` (that is, a mixed number) as 24, 24, 527 what is the rule ? A. Multiply the whole number of the divisor by the denominator, add in the numerator, then multiply the dividend by the same denominator, divide and the quotient will be the answer. At 76 cts. for 24 yds. of cloth; how much is it a yard? 24 76 19)532(28 38 19 152 A 28 cts. 152 How do you proceed first? A. I multiply 76 and 2, both by the denom. 7. What do you do with the numerator in the divisor? A. Add it in. What next? A. Divide, the quotient is the answer. If 13 yds. of broadcloth cost $7; what will 1 yd. cost? A. $5. If 1 bu. of flax seed cost $8 what will 1 bu. cost? A. $6. What will 1 quart of molasses cost; when 2 qts. cost 10 cts.? A. 4 cts. If 28 yards of cloth cost $156; what will 1 yard cost? A. $5,54c.6m. If 1 bushels of corn cost 300c.; what will 1 bushel cost? A. 200c Divide 440 yards by 51⁄2 or rels. A. 200 b's. bring 440 yards into rods? A.80. (i. e.) bring 6300 gallons into bar If a man's stary for 27 years is 2600 dols.; what is that a year? A. $1289,25c.6m. Question to exercise the two foregoing rules.-Write down -280, multiply it by 54, divide the product by 104, subtract 40 from the quotient, multiply the remainder by 55 subtract 40 again from the product, add 500 to the remainder, then di vide the sum by 6000, and see if the quotient is equal to 1. REDUCTION. Wine Measure. Repeat the denominations of this Measure. At 2 cents a gill; what will 1 pint of molasses cost? What will 2 pints? 4 pints? 5 pints? 6 pints? 8 pints? 10 pints? 12 pints? 20 pints? 50 pints? 100 pints? At 24 cts. a gallon, what will 1 qt. of ale cost? What will 2 qts.?a gallon? How much will 48 cts. buy? Will 60 cts. ? Will 72 cts.? Will 120 cts.? Will 150 cts. Will 180 cts.? When rum is a dollar a gallon, what is a barrel worth? What is a hogshead worth? What is of a hogshead worth? (A hogshead is divided into 63 parts or gallons, therefore 1 gallon is) What is ? 15? 40? 63 At a dollar a gallon, how many quarts will 50 cts. buy? Will $2? Will $2,25c.? Will $3? Will $3,50c.? Will $4? Will $6? Will $10? Will $20? Will $30? At $100 a hogshead; what will 2 pipes of wine cost? What will 3 pipes? 4 pipes? 6 pipes? 1 tun? 3 tuns? 4 tuns? How many gills in 4 pints? In 2 quarts? In 3 qts.? In 4 qts.? In 6 qts.? In 12 qts.? In 20 qts. ? From what you have now been doing, for what purposes would you infer, that this measure is used? A. To measure Wine, Spirits, Vinegar, Oil, Cider, Honey, Mead, &c. NOTE. The wine gallon contains 231 solid inches, and is in the same proportion to the Ale gallon of 282 solid inches, as the pound Troy is to the pound Avoirdupois. Cloth Measure. n Repeat the denominations of this measure. How many nails in 2 qrs.? In 4 qrs.? In 8? In 10? In 12? In 15? In 11? How many quarters in 1 yard? In a yard? In 1 yards) * Hogsheads containing liquors, molasses, &c. are of various capacities, generally exceeding 100 gallons, |