II. Read the decimal as if an integer, and give it the name of its right-hand order. In like manner express decimally the following fractions and mixed numbers: 18. 596 thousandths. 20. 12 ten thousandths. 21. 74 millionths. 22. 105 ten-millionths. 23. 99010 billionths. 24. Four hundred thirty-seven thousand five hundred 49 millionths. 25. Three million forty thousand 12 ten-millionths. 26. Six hundred and 24 hundred-millionths. 27. Four hundred ninety-five million seven hundred five thousand and 43075 ten-millionths. 28. Four million seven hundred thirty-five thousand and 903624 hundred-millionths. DECIMAL CURRENCY. 268. Currency is coin, bank-bills, treasury notes, etc., employed in trade and commerce. 269. A Decimal Currency is a currency whose denominations increase and decrease by the decimal scale. 270. The Legal Currency of the United States is a decimal currency; it is sometimes called Federal Money, because issued by the Federal Government. 271. Since the dollar is the unit of United States Money, dimes, cents, and mills are respectively tenths, hundredths, and thousandths of the unit. 272. Dollars should be written as integers, with the sign ($), prefixed; and dimes, cents, and mills, as decimals, with the decimal point at their left, or before tenths. Thus, 7 dollars 3 dimes 4 cents 5 mills, are written $7.345. 273. The denominations eagles and dimes are not regarded in business operations, eagles being tens of dollars, and dimes tens of cents. Thus, $34.27 is read 34 dollars 27 cents, instead of 3 eagles 4 dollars 2 dimes 7 cents. 274. Since the two places of dimes and cents, or of tenths and hundredths are appropriated to cents, when the number of cents is less than 10, write a cipher in the place of tenths. Thus, 9 cents are written $.09. (73.) 275. The half-cent may be written, either as a fraction (1), or as 5 mills. Thus, thirty-seven and a half cents are written $.37, or $.375. 276. Cents are often written as fractions of a dollar. Thus, $9.28 may be also written $92. 277. In business transactions, if the mills in the final result are 5 or more than 5, they are considered a cent, if less than 5, they are not regarded. Thus, $5.197, would be called $5.20, and $5.194 would be called $5.19. 278. PRINCIPLES.-1. Decimal currency is expressed according to the decimal system of notation. 2. All the operations in Decimal Currency are the same as the corresponding operations in Decimals. REDUCTION OF DECIMALS. 279. To reduce decimals to units of lower or higher orders. ORAL EXERCISES. 1. How many tenths in 2 units? In 5 units? 2. How many tenths in 20 hundredths? In .40? 3. How many hundredths in 2 units? In 4 units? 4. How many hundredths in 200 thousandths? 5. How many hundredths in 5 tenths? In .6? .7? .8? 6. How many thousandths in .06? In .25? .48? .75? 7. How many hundredths in .150? In .260? In .2500? 8. In 400 thousandths how many hundredths? Tenths? 9. How many tenths of a dollar in $6? Hundredths? 10. Change 4 dollars 50 cents to cents. 11. How many dollars are 300 cents? 12. How many cents are 2600 mills? To mills. 540 cents? Dollars? 13. What is the decimal expression for 5 cents? Ans. Sign, point, naught, five; read five hundredths ($.05). 14. Express decimally 7 cents; 9 cents; 15 cents. 15. Express decimally 7 mills; 5 cents 6 mills. 16. Express decimally 2 dollars 45 cents and 6 mills. Ans. Sign, two, point, four, five, six; read, two and four hundred fifty-six thousandths dollars ($2.456). 17. What is the decimal expression for 84 cents 5 mills? 18. Change .3 to hundredths; to thousandths. 19. Change .4 and .05 to thousandths; .07 and .01. 20. Change .5, .08, and .023 to equivalent decimals, having a common denominator of 1000. Also, .14, .009, and .6. .7, .007, and .091. 21. Reduce .7, .150 and .600, to equivalent decimals, having the least common denominator. Also, .50, .250, and .1700. .43, .006, and .0214. 280. From the foregoing, it appears, 1. That dollars may be reduced to cents by annexing two ciphers; and to mills, by annexing three ciphers. Omit the sign $ and write cts. or m. after the result. 2. That cents may be reduced to mills by annexing one cipher. 3. That cents may be reduced to dollars by pointing off two figures from the right; and mills to dollars, by pointing off three figures from the right, and prefixing the sign ($). 4. That mills may be reduced to cents by pointing off one figure from the right. 5. That two or more decimals are reduced to a common denominator by annexing or rejecting ciphers at the right until the decimal places of all are equal. WRITTEN EXERCISES. 281. Reduce 1. $85 to cents. (280, 1.) 5. $57 to mills. 6. 86 cents to mills. (280, 2.) 2. $615 to cents. 9. 486 cts. to dollars. (280, 3.)| 12. 846 mills to cents. 10. 32462 cents to dollars. 11. 40327 mills to dollars. 13. 50000 mills to dollars. 14. 61040 cents to dollars. 15. Reduce .7, .05, and .304, each to hundred-thousandths. (280, 5.) 16. Reduce 2.5, .107, and .0008, each to ten-thousandths. 17. Change 4, 2.17, .136, and .0408 to equivalent decimals having a common denominator. 18. Reduce 9 tenths, 24 thousandths, 109 hundredthousandths, and 47 millionths to equivalent decimals having the least common denominator. Also, 19. 100.03, 41.0034, .475, .0753, and 6.00044. 20. .84003, 120.4, 5.00031, and 15.240007. 282. To reduce a decimal to a fraction. ORAL EXERCISES. 1. How many halves in? In ? In 500? 50 100 %? 60 2. How many fifths in? In ? .6? 3. How many fourths in? In .50? In .75? 4. How many twentieths in 1? In 15? In .20? 5. In .50 how many halves? Fourths? Tenths? |
