165. The number of decimal places in any product is equal to the number of decimal places in both its factors. 166. The number of decimal places in any dividend is equal to the number of decimal places in both divisor and quotient. PROBLEMS. 167. 1. The larger of two numbers is 7346.215; their difference is 3671.146. What is the less number? 2. The less of two numbers is 3642.1438; their differ- to one neighbor, 186.5 acres to another, and 116.12 acres to a third. How many acres did he still own? 5. Find the least decimal fraction which, added to the sum of 87.43 and 169.578, will make the result an integer. 6. If a man can build .375 of a rod of fence in 1 hour, how many rods can 8 men build in 4.5 days, working 8.5 hours a day? 7. A man traveled 185.6 miles in June, 295.98 in July, and in August twice as many miles as in July. How many miles did he average per month? 8. Find 4 equal numbers whose sum is 1984.756. 9. The multiplicand is 87.92; the product is .35168; what is the multiplier ? 10. The product of three factors is 78.66; two of the factors are, respectively, 6.9 and 7.125. What is the third factor ? 11. At $3.75 per cord, how many cords of wood may be exchanged for 9.5 tons of coal worth $4.25 per ton ? 12. The large wheel of a bicycle is 14.36 feet in circumference. How many times will it turn in going one mile (5280 feet)? 13. If a man earns $5.35 a day, and spends $3.625 a day, what will be the amount of his savings in 120 days? 14. At $9.375 a ton, how many tons of hay can be bought for $140.625 ? 15. The ratio of the circumference of a circle to its diameter is 3.1415926, nearly. How many tires for wheels 4 feet in diameter can be made from 4712.3889 feet of iron, allowing nothing for welding ? 16. The French unit of linear measure, the meter, is 39.37 inches. How many meters are equal to 5905.5 yards ? 17. Mr. C. has 3.75 times as many bushels of corn as Mr. B., who has 5840 bushels. How many bushels has Mr. C? 18. What is .08 of $3940 ? 19. What is .06 of $45.50? 20. Mr. D. loaned $5000 for one year, and charged .05 of it for its use. How many dollars did he receive for its use? 21. Twenty-five hundredths of a cargo of wheat of 6000 bushels were injured in a storm. How many bushels were injured? What was the value of the uninjured part of the cargo, at $.975 a bushel ? 22. A man pays .18 of his yearly income of $2200 for rent. How many dollars does he pay for rent? 168. Examples in Multiplication and Division of Decimals, to be used at the discretion of the teacher : CHAPTER VIII. UNITED STATES CURRENCY. Article 169. United States Money is a decimal currency, adopted by the Federal government in 1786. It is often called Federal Money. The unit of the system. is the dollar. TABLE OF UNITED STATES MONEY. 170. 10 Dimes, or 100 Cents, =1 Dollar, ($). 10 Dollars =1 Eagle, (E.). 171. The coin of the United States consists of gold, silver, nickel, and bronze pieces. 172. The gold coins are the two and one-half dollar, the five dollar, the ten dollar, and the twenty dollar pieces. The one dollar and three dollar gold pieces are no longer coined. The silver coins are the one dollar, the half dollar, the quarter dollar, and the dime. The three cent and five cent silver pieces are no longer coined. The nickel coins are the five cent and the three cent pieces. The bronze coin is the one cent piece. The copper cent and half cent, and the bronze two cent pieces, are no longer coined. 173. The gold coins are 9 parts pure gold and 1 part alloy, consisting of silver and copper. The silver coins are 9 parts pure silver and 1 part copper. The nickel coins are 75 parts copper and 25 parts nickel. The bronze coins are 95 parts copper and 5 parts zinc and tin. 174. The paper money of the United States consists of Treasury Notes, (popularly called greenbacks, ) National Bank Notes, Gold Certificates, and Silver Certificates. 175. The sign $ denotes United States money, and is written on the left of figures denoting dollars or cents. Thus $25 is read twenty five dollars. $.25 is read twenty five cents. $.005 is read five mills. 176. Cents are hundredths of a dollar, and, when written as a fraction of a dollar, occupy the two decimal places on the right of the decimal point. Thus: $8.75, eight dollars seventy-five cents. $.50, fifty cents. But when the cent is regarded as the unit, no decimal point is necessary, as 10 cents, etc. The sign $ is then not used. 177. Mills occupy the third decimal place on the right of the decimal point. Thus $1.125, one dollar twelve cents five mills, or, one dollar twelve and one half cents. $.005, five mills, or, one half cent. EXAMPLES. ORAL. 178. 1. How many cents in one half a dollar? In a quarter of a dollar? In one eighth of a dollar? 2. How many cents in of a dollar? In of a dollar? In of a dollar? In of a dollar ? 3. How many cents in one third of a dollar? In of a dollar? In of a dollar? 4. How many cents in one sixth of a dollar? In & of a dollar? In of a dollar? 5. What part of a dollar is 75 cents? 12 cents ? 371 cents? 62 cents? 874 cents? |