14. If 45 acres of land produce 1173.825 bushels of peas, what is the yield per acre? Ans. 26.085 bushels. 15. At .625 of a dollar per yard, how many yards of linen could be bought for 22.5 dollars? Ans. 36 yards. 16. A grocer bought 525 bananas for 28.875 dollars; what was the cost of the bananas apiece? Ans. .055 of a dollar. 17. What decimal fraction is equivalent to ? ARTICLE 149. The CURRENCY of a nation means its money. The national currency of the United States is called FEDERAL MONEY. ART. 150. The denominations of FEDERAL MONEY are eagles, dollars, dimes, cents and mills. The dollar is the unit. ART. 151. The character $, written before any number, indicates Federal money. Thus, $27 is read 27 dollars. TABLE OF FEDERAL MONEY 10 mills (m.) make 1 cent, ct. ART. 152. From the above table it is see that dimes are tenths of a dollar, cents are hundredths, and mills are thousandths. The dime is always written on the right of the dollar, and separated from it by a (-) point; thus, $9.7 repre sents 9 dollars and 7 dimes. ART. 153. In the practical business of keeping accounts dollars and cents are the only denominations employed. Eagles are read as dollars, dimes are read as cents, and mills as fractions of a cent. Thus, 3 eagles and 4 dollars would be read, 34 dollars; and 6 dimes, 2 cents and 5 mills would be read, 62 cents. ART. 154. The first two places on the right of the decimal point being always assigned to cents, when the number of cents is less than 10 a cipher must be written in the place of dimes. Thus, 5 dollars and 6 cents would be written, $5.06. To express dollars and mills when there are no cents, two ciphers must be placed before the mills. Thus, 8 dollars and 5 mills would be written, $8.005. EXAMPLES. 1. Read $43.25. Analysis. This may be read 43 dollars, 2 dimes and 5 cents, or 43 dollars and 25 cents. This latter mode is the practical one. 2. Read $27.06. Analysis. This may be read 27 dollars, 0 dimes and 6 cents: in practice it is read 27 dollars and 6 cents. 3. Read $56.375. Analysis. This may be read 56 dollars, 3 dimes, 7 cents and 5 mills, or 56 dollars, 37 cents and 5 mills; usually it is read 56 dollars and 37 cents. Let the pupil read the following: Let the pupil write the following in figures: 1. Twenty-five dollars and thirty-six cents. Ans. $25.36. 2. Nine dollars and seventy-five cents. Ans. Ans. Ans. Ans. $39.07. 3. Twelve dollars and forty-six cents. 11. Forty-three dollars and five mills. 12. Sixty-two dollars and nine mills. 13. Fifty-nine cents and four mills. 14. Seventy-five cents and six mills. 15. Nine cents and five mills. Ans. Ans. Ans. $9.065. Ans. Ans. Ans. $0.594. Ans. Ans. REDUCTION OF FEDERAL MONEY. ART. 155. REDUCTION consists in changing numbers from one form to another without changing their value. Ex. 1. Reduce 5 dollars to dimes. Analysis. In 1 dollar there are 10 dimes, and in 5 dollars there are 5 times as many dimes, which will be 50 dimes. Ans. 50 dimes. 2. Reduce 35 dollars to cents. Analysis. In 1 dollar there are 100 cents, and in 35 dollars there are 35 times as many cents, which will be 3500 cents. 3. Reduce 42 dollars to mills. Ans. 3500 cents. Analysis. In 1 dollar there are 1000 mills, and in 42 dollars there are 42 times as many mills = 42000 mills. Ans. 42000 mills. 4. Reduce $6.75 to cents. Analysis. In 1 dollar there are 100 cents, and in 6 dollars there are 6 times as many cents = 600 cents, and the 75 cents to be added make 675 cents. Ans. 675 cents. The foregoing examples clearly illustrate the following RULE. I. To reduce dollars to dimes, multiply by 10, or annex ONE cipher. II. To reduce dollars to cents, multiply by 100, or annex TWO ciphers. III. To reduce dollars to mills, multiply by 1000, or annex THREE ciphers. IV. To reduce dollars and cents to cents, remove the $-sign and the decimal point. Analysis. Since 100 cents make $1, then 1 cent is to of $1, and 4285 cents will be 4285 times as much = or $42,85; or $42.85. 17. In 25346 mills how many dollars? 4285 of $1, Ans. $42.85. Analysis. Since 1000 mills make $1, then 1 mill is rooo of $1, and 25346 mills will be 25346 times as much 25346 of $1, or $25.348; or $25.346. From these illustrations we derive the RULE. = 1000 Ans. $25.346. 1. To reduce cents to dollars, divide by 100, or remove the decimal point Two places from the right. II. To reduce mills to dollars, divide by 1000, or remove the point TAREE places from the right. 18. Reduce 3984 cents to dollars. Ans. $39.84. Ans. $56.427. Ans. 21. Reduce 23598 mills to dollars. Ans. 22. In 73927 cents how many dollars? 23. Reduce 956243 mills to dollars. Ans. Ans. ADDITION OF FEDERAL MONEY. ART. 156. Ex. 1. What is the sum of 23 dollars and 35 cents, 37 dollars, 9 cents and 6 mills, 32 dollars and 56 cents, and 8 dollars and 5 cents? OPERATION. $23.35 37.096 32.56 8.05 $101.056 Analysis. We write dollars under dollars, cents under cents and mills under mills. We then commence at the right and add exactly as in Addition of Decimals. Ans. $101.056. 2. What is the sum of 25 dollars and 64 cents, 36 dollars and 73 cents, 45 dollars and 37 cents and 9 dollars and 59 cents? Ans. $117.33. 3 Add together 54 dollars and 67 cents, 34 dollars and 87 ents, 231 dollars and 52 cents and 7 dollars and 16 cents. Ans. $328.22. |