IR Art. 70. As there are 10 mills in 1 cent, in any nam. ber of cents there are 10 times as many mills as cents. Therefore, to reduce cents to mills, multiply by 10; that is, annex one cipher. Hence, conversely, to reduce mills to cents, divide by 10; that is, cut of one figure on the right. As there are 100 ceats in 1 dollar, in any number of dollars there are 100 times as many cents as dollars. Therefore, to reduce dollars to cents, multiply by 100, that is, annes tiro ciphers. llence, conversels, to reduce cents to dollars, diside by 100; that is, cut off two figures on the right As there are 1000 mills in a dollar, in any number of dollars there are 1000 times as many mills as dollars. Therefore, to reduce dollars to miils, multiply by 1000; that is, annes three ciphers. Henee, conrersely, to reduce mills to dollars, divide by 1000; that is, eut of three figures on the right ART. 71. As the operations of redaction consist in multiplsing or dividing by 10, 100, or 1000, the work can be shortened by simply moving the point. ILLUSTRATIONS.—In Vuitpiring, more the point as many places to the right, as there are ciphers in the multiplier. Thus, $2.59= 250 cents; $2.50 5=2505 mills. In Dititing, more the point as many places to the uji, as there are ciphers in the divisor. Thus, 275 cents =$2.73; 4255 mills =$1.23 5 12 4 1. Reduce 17 cts. to mills. 2. Reduce 25 cts. to mills. Ans. 170 m. PSTIET.-70. I. arrdased to ? 1! 1ste esta? 2.323 to esat? War? Ceots to do warst Dars to ? Tes! to dLars? 71. Ia rbat do the cperations of radazuta saese? I can the work be sborteged? Pastrate 3. Reduce 43 cts. and 6 m. to mills. Ans. 436 m. 4. Reduce 70 cts. and 6 m. to mills. Ans. 706 m. 5. Reduce 106 m. to cents. Ans. 10 cts. 6 m. 6. Reduce 490 mills to cents. Ans. 49 cts. 7. Reduce 9 dollars to cents. Ans. 900 cts. 8. Reduce 14 dollars to cents. Ans. 1400 cts. 9. Reduce 104 dollars to cents. Ans. 10400 cts. 10. Reduce $60 and 13 cts, to cents. Ans. 6013 cts. 11. Reduce $10 and 5 cts. to cents. Ans. 4005 cts. 12. Reduce 375 cts. to dollars. Ans. $3.75 13. Reduce 9004 cts. to dollars. Ans. $90.04 14. Reduce 4 dollars to mills. Ans. 4000 m. 15. Reducc $14 and 2 cts. to mills. Ans. 14020 m. 16. Reduce 2465 mills to dollars. Ans. $2.46 5 17. Reduce 3007 mills to dollars. Ans. $3.00 7 18. Reduce 3187 cents to dollars. Ans. $31.87 ADDITION OF U. 8. MONEY, ART. 72. 1. Add together 4 dollars, 12 cents, 5 mills; 7 dollars, 6 cents, 2 mills; 20 dollars 43 cents; 10 doll lars, 5 mills; and 16 dollars, 87 cents, 5 mills. Rule-1. Write the numbers to be added, units of the same denominations under each other; dollars under dollars, cents under cents, mills under mills, because only numbers of the same denomination can be added. 2. Add as in Addition of Simple Numbers, and place the separating point directly under the separating points above. OPERATION. 7.06 2 $58.49 7 Proof.--The same as in Addition of Simple Numbers. Review.-72. Ilow write numbers in addition of U. S. money? Why? llow is the addition performed? Why? Where place the point ? NOTATION AND NUMERATION. ART. 66. Accounts are kept in dollars, cents, and mills; or in dollars, cents, and parts of a cent. Eagles and dollars are called dollars ; dimes and cents, cents. NUMERATION TABLE. Hundreds of doilar3. Tens of dollars, or cagles. Dollars. .0 4 3 read 4 cents and 3 mills, or 43 mills. .2 1 4 read 21 cents and 4 mills, or 214 mills. 3.0 4 5 read 3 dollars 4 cents and 5 mills. 7 6.2 5 0 read 76 dollars and 25 cents. 6 8 1.3 4 5 read 681 dollars 34 cents and 5 mills. The second line may also be read, 2 dimes, 1 cent, 4 mills; the fourth line, 7 eagles, 6 dollars, 5 cents. This method of reading is not customary. The third line may also be read, 304 cents and 5 mills, or 3045 mills; the fourth line, 7625 cents, or 76250 mills; the lower line, 68134 cents and 5 mills, or 681345 mills. A period (.), is used as a separating point, to separate the cents and dollars. Some use the comma. Thus, 2 dollars, 2 dimes, 2 cents, or 2 dollars and 22 cents, are written, $2.22 ART. 67. The Table shows that cents occupy the first two places to the right of dollars, and mills the place to the right of cents, the third from dollars. Hence the Rule for Numeration.—Read the number to the left of the period as dollars, and the first two figures on the right of the period as cents; and if there be a third figure, as mills. REVIEW.–65. What are the denominations of United States money? How many units of either denomination make a unit of the next highor ? Repeat the table. How many ts in a half ? In a quarter dollar? In a half dollar? In a dollar ? Of what are the coins of the United States ? Which are copper? Which silver? Which gold ? EXAMPLES TO BE COPIED AND THEN READ. $18.62 5 $ 70.01 5 $6.12 $ 29.00 $20.32 4 $100.28 3 $3.06 $100.03 $79.05 $150.00 2 $4.31 $ 20.05 $46.00 3 $100.00 3 $5.43 $ 40.00 7 ART. 68. RULE FOR NOTATION. Write the dollars as in whole numbers ; place a period on the right of dollars, next to this write the cents, then the mills. If the cents are less than ten, place a cipher next to the dollars; if there are no cents, put two ciphers in the place of cents. EXAMPLES TO BE WRITTEN. 1. Twelve dollars, seventeen cents, eight mills. $12.17 8 2. Six dollars, six cents, six mills. $ 6.06 6 3. Seven dollars, seven mills. $ 7.00 7 4. Forty dollars, fifty-three cents, four mills. . $40.53 4 5. Two dollars, three cents. 6. Twenty dollars, two cents, two mills. $20.02 2 · 7. One hundred dollars, ten cents. $100.10 8. Two hundred dollars, two cents. $200.02 9. Four hundred dollars, one cent, eight mills. $400.01 8 $ 2 03 REDUCTION OF U. S. MONEY. ART. 69. Reduction consists in changing the denominations or orders, without altering the value. Ist . Reduction Descending is changing numbers from a higher to a lower denomination; as, from dollars to cents. 20. Reduction Ascending is changing numbers from a lower to a higher denomination; as, from cents to dollars. REVIEW.-66. In what denominations are accounts kept? What are eagles and dollars together called? What dimes and cents ? How are dollars and .cents separated ? 67. What places do cents occupy? What place mills ? What is the Rule for Numeration ? 68. How write any sum of U. S. money, Rule? 69. In what does Reduotica consist? What is Reduction descending? What ascending? Art. 70. As there are 10 mills in 1 cent, in any num. ber of cents there are 10 times as many mills as cents. Therefore, to reduce cents to mills, multiply by 10; that is, annex one cipher. Hence, conversely, to reduce mills to cents, divide by 10; that is, cut off one figure on the right. As there are 100 cents in 1 dollar, in any number of dollars there are 100 times as many cents as dollars. Therefore, to reduce dollars to cents, multiply by 100; that is, annex two ciphers. Ilence, conversely, to reduce cents to dollars, divide by 100; that is, cut off two figures on the right. As there are 1000 mills in a dollar, in any number of dollars there are 1000 times as many mills as dollars. Therefore, to reduce dollars to mills, multiply by 1000; that is, annex three ciphers. Hence, conversely, to reduce mills to dollars, divide by 1000; that is, cut off three figures on the right. Art. 71. As the operations of reduction consist in multiplying or dividing by 10, 100, or 1000, the work can be shortened by simply moving the point. ILLUSTRATIONS.— .-In Multiplying, move the point as many places to the right, as there are ciphers in the multiplier. Thus, $2.50 = 250 cents; $2.50 5 = 2505 mills. In Dividing, move the point as many places to the left, as there are ciphers in the divisor. Thus, 275 cents = $2.75; 4285 mills=$1.28 5 1. Reduce 17 cts. to mills. Ans. 170 m. REVIEW.-70. Ilow aro cents reduced to mills? Why? Mills to cents ? Dollars to cents? Why? Cents to dollars? Dollars to mills? Why? Mills to dollars ? 71. In what do the operations of reduction consist ? How can the work be shortened ? Illustrate. |