5. Five thousand, and five thousandthg. 8. Two thousand three hundred and seventy-five tenthousandths. 9. Thirty-two thousand three hundred and seventyfive hundred-thousandths. 10. Two hundred and seventy-five hundred-thousandths. 11. Seventy-five hundred-thousandths. Add the following numbers: 1. Fifty-five thousand, and twelve thousandths; twentyone hundred, and twenty-one hundredths; fifty-two, and two hundred and seventy-five thousandths. Ans. 57152.497. 2. Twenty-one, and twenty-one hundredths; two hundred and ten, and two hundred and ten thousandths ; three thousand four hundred and fifty-one, and three thousand four hundred and fifty-one ten-thousandths. Ans. 3682.7651. 3. Forty-four, and four tenths; four hundred, and four hundredths; four thousand, and four thousandths; forty thousand, and four ten-thousandths; four hundred thousand, and four hundred thousandths; four million, and four millionths. Ans. 4444444.444444. 4. From four million, and four millionths take four thousand, and four thousandths. Ans. 3995999.996004. MULTIPLICATION AND DIVISION OF DECIMALS. 83 5. From three thousand, and three thousandths take three hundred, and three hundredths. Ans. 2699.973. 6. From 3471.3471 take 325.325. Ans. 3146.0221. 17. From 3004.3004 take 305.305. Ans. 2698.9954. 8. From 3000004.3000004 take 20001.20001. Ans. 2980003.0999904. 9. From 4001.4001 take 401.401. Ans. 3599.9991. MULTIPLICATION AND DIVISION OF DECIMALS. 1. Multiply 401.401 by 30.30. Ans. 12162.45030. 2. Multiply 4001.4001 by 401.401. Ans. 1606166.0015401. 3. Multiply 2000001.2000001 by 2001.2001. Ans. 4002402601.44032012001. 4. Divide .8 by .4. Ans. 2. 5. Divide .08 by .04. Ans. 2. 6. Divide .008 by .004. Ans. 2. 7. Divide .576 by .024; by .24. Ans. 24 and 2.4. 8. Divide .036 by .12; by .006. by .0006. Ans. .3; 6; 60. 9. Divide .225 by .9 ; by .003; by .025. Ans. .25; 75; 9. 10. Divide 1.11 by .1; by .001; by .00001. Ans. 11.1; 1110; 111000. 11. Divide 3.43 by .7; by .07; by .0014. Ans. 4.9: 49; 2450. 12. Divide 271.26 by .003; by .9; by .0009. Ans. 90420; 301.4 ; 301400. 13. Divide .000121 by 1.1; by .011; by .00011. Ans. ,00011; .011; 1.1. 65 1. The dividend is i and the quotient *; what is the divisor ? Ans. 1786 2. The product of two numbers is 3 and one of the numbers is 5%; what is the other number? Ans. $ 3. If 2 be added to each term of , will the fraction be increased or diminished ? Ans. Increased by a 4. If 2 be added to each term of , will the fraction be increased or diminished ? Ans. Diminished by 38. COR.-If both terms of a proper fraction be increased by the same number, the value of the fraction is increased; but if both terms of an improper fraction be similarly increased, the value is diminished. 5. Received from one man $56%, from a second one $95), and then paid a third $1243%; how much remained ? Ans. $281. 6. A gentleman bought a horse, buggy, and harness for $360; the harness cost $ as much as the buggy, and the buggy one-half as much as the horse ; what did each cost ? Ans. Harness $36, buggy $108, horse $216. 17. A and B together have $204 ; and of A's is equal : to of B's; how much has each ? Ans. A has $108, B $96. A's = À B's; 1 8 times A's = 9 times B's. Therefore, A has 9 as often as B has 8; and the two have 17 twelve times in 204; hence, A has 9 x 12 = 108, and B has 8 x 12 = 96. 8. A, B, and C bought a farm for $6000. A paid , B }, and C the balance; what did each pay ? Ans. A $2400, B $2000, C $1600. 9. If 31 tons of coal cost $24], what will 254 tons cost? Ans. $178. 10. If 5% cords of wood cost $25}, what will 1 cord cost ? What will 26 cords cost? What will 57} cords cost ? Ans. $41, $120, and $257%. 11. If 94 barrels of flour cost $51, what cost 1 barrel ? What cost 38 barrels ? Ans. $54 and $212. 12. A can dig a ditch in 6 days, B in 9 days; how much will each do in 1 day? How much will both do in 1 day? How long will it take the two to do the work? Ans. A can do & and B f in a day = both Ps in a day, and both can do it in 3 days. 13. Divide $60 between A, B, and C, so that A gets }, B 4, and C the balance; what part will C receive ? Ans. C gets is 14. Reduce *i * X H to a simple fraction ? Ans. 4. 15. Reduce 2 + 3} 명품 to a simple fraction. 34 + 2 63 Ans. 18 68 16. Find the greatest common divisor of 105, 231, , and 1001. Ans. 7. REM.–First find the greatest common divisor of two numbers, then of the G. C. D. found and of the other number. 17. The product of two numbers diminished by 914 is 153}; one of the nnmbers is 171; what is the other number? Ans. 1425 18. A farmer sold of his cows and of his sheep, and then had 22 cows and 27 sheep left : how many had he at first? Ans. 66 cows and 108 sheep. 19. If 74 lbs. of sugar cost 714 cents, what is the cost of 105lbs. ? Ans. 10024 cents. 20. What will 8f barrels flour cost at $64 per barrel ? Ans. $575 21. What cost 136 lb. ham at 124 ct. per lb. ? Ans. 1708} cents. 22. What cost 1803 tons coal at $51 per ton ? Ans. $9921 23. What cost 574 lb. flour at 41 ct. per lb. ? Ans. 2587 cents. 24. A and B together have $372, and of A's money is equal to of B's; how much has each? Ans. A $192, B $180. 25. If 4 of a ton of coal cost $1, what will a ton cost? Ans. $7. 26. If of a ton of coal cost $2, what will a ton cost ? Ans. $7. 27. If } of a cord of wood cost $, what will a cord cost? Ans. $44. 28. If á of a cord of wood cost $5, what will a cord cost? Ans. $6. a |