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NUMERATION, Page 13.

2. Sixty. 3. Twelve. 4. Twenty-one.

700000007.

1. Forty-three. 5. One hundred. 6. One hundred and one. 7. One hundred and ten. 8. Five hundred. 9. Five hundred and five. 10. Five hundred and fifty. 11. One thousand. 12. Two thousand and twenty. 13. Three thousand three hundred and three. 14. Four thousand and four. 15. Seven thousand seven hundred and seven. 16. Eight thousand eight hundred and eighty. 17. Eighty-seven thousand and fifty-four. 18. Seventy thousand seven hundred and seven. 19. Sixty thousand eight hundred and eighty. 20. Ninety-nine thousand four hundred and four. 21. Nine hundred and three thousand seven hundred and fifty-six. 22. Two hundred and two thousand two hundred and two. 23. Four hundred thousand and four hundred. 24. Five hundred and fifty thousand five hundred and fifty. 25. One million and one. 26. Eight million and forty-seven thousand three hundred and twenty-eight. 27. Four million and ninety thousand and three hundred. 28. Five million two hundred and ten thousand and seven. 29. Six million and thirty thousand four hundred and five. 30. Nine million nine thousand and nine hundred. 31. Forty-one million forty-one thousand and fourteen. 32. Three million and six. 33. Twenty million eighty-four thousand two hundred and sixteen. 34. Five million one thousand eight hundred and sixty. 35. Eight million eighty thousand eight hundred and eight. 36. Fifty-five million seven hundred thousand and five. 37. Seventy-six million and fourteen thousand and fifty-nine. 38. Six million six thousand six hundred and six. 39. Fifty-six million seven hundred thousand five hundred and five. 40. One hundred and twenty million fifteen thousand and fifteen. Two hundred and two million two hundred and two thousand and two hundred. 42. One hundred million one hundred thousand one hundred and one. 43. Two hundred and seventy-five million eight thousand and five. 44. One hundred million ten thousand and one. 45. Seventy-nine million thirty thousand one hundred and eighty-four. 46. Four hundred and eight million seventy-six thousand and thirty-two. 47. Four hundred and one million four hundred thousand and fifty-six. 48. Nine hundred and eight million five hundred thousand and sixty.

41.

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I. 685295792
2. 1962965961
3. 1506172792

4. 1899328910

13.

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(2) 476949824 (3) 5432756589 (4) 30524788736

(5) 116442828125

(6) 347696421696 (7) 876760466309 (8) 1953586479104 (9) 3960479553381 (11) 13202276674301 (12) 22252570988544

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[blocks in formation]

16. The one is larger than the other by forty-nine thousand nine hundred and fifty, i.e., by 49950. 17. 60768396; of 129847 and 40068. 18. 847021, 36865365. 19. 6 and 3. 20. 324937594. 21. 300490090, sum; 275798734, difference; 3557338128051336, product. 5555656, sum; 3086522, difference; 5334673883465, product. 22. 372 tons. 23. 127 years. 24. 7852 times. 25. 34 ships. 26. 141. 27. 1002. 28. 65280. 29. 129115. 30. 146, after subtracting it 390 times. 31. 203. 32. 1666350, sum; 1639900, difference; 21862578125, product; 125, quotient. 33. 9843750, sum; 9687500, difference; 762939453125 product; 125, quotient.

NOTATION OF DECIMALS, Page 44.

I. *3, 03, 003, and 3'3; also '7, 11°7, 33, and 1015.

2,

01, 0021, 0117, 0000003, 1, 53, 007, 0011, and 00137.

3. 301, 400 01, 53'00415, 50'000101, 441, 33°1, and '000000000501.

4. 9178, 9178, 09178, 0091, '00009, 520'3, and d '90.

5. 30142, 672819, 000672819, and 6728.19.

6. 7′06, 43′2143, 9°07823457, 1°000001, and 35°721341.

7. 073, 0197, 000001, 00261, and 0001001.

8.

10.

1*54, 24°079, 315·008005, *00000011, and '00903.

9. 1, 03, 005, *105, '000002, *000060, 41*08, 1000*001, 30′000006, *00001, and '00002375. Two hundred and eighty-three thousandths; Five thousand three hundred and twenty-one ten thousandths; Seventy-four thousand eight hundred and ninetyfive hundred thousandths; Eight hundred and twenty-one thousand and fifty-six millionths; Twenty-seven, and eight thousand three hundred and fifty-four ten thousandths; Thirty-four, and nine ten thousandths; Forty-three, and one one hundred and one thousand and seven millionths; Twenty-three, and seventyfive hundredths; Two, and three hundred and seventy-five thousandths; Two thousand three hundred and seventy-five ten thousandths; Two thousand three hundred and seventy-five hundred millionths.

11. Six tenths; Ninety-two hundredths; Five thousand four hundred and ninety-eight ten thousandths; Seven, and seven hundredths; Twenty-six, and four hundred and five thousandths; One millionth; Thirty-seven hundred thousandths; Eleven, and one hundred and one thousand one hundred and one millionth; Four hundred and forty thousand three hundred and eight ten millionths; Eighty-two thousand three hundred and forty-four hundred thousandths; Thirteen thousand two hundred and thirty-six hundred thousandths.

12. Nine, and four hundred and fifty-seven ten thousandths; Four thousand and four, and three hundred and forty-five ten millionths; Three, and four hundred thousandths; Five hundred and twenty-four millions six hundred and thirty-four, and eight thousand and thirty-four ten millionths; Three thousand seven hundred and five thousand millionths; Twenty-four thousand and fifty-six thousand millionths; Seven thousand and five, and six hundred and seventy-four thousand millionths; One hundred thousand, and one ten millionth; Ten, and one thousandth; Nine, and twenty-eight millionths; One, and six thousand and three ten millionths.

13. One, and one millionth; One million and one ten millionth; One hundred millionths; One, and thirteen thousand and four hundred thousandths; Nine, and two hundred and three thousand one hundred and sixty-seven millionths; Four, and three million eight thousand and four ten millionths; Twenty-seven, and four million six hundred and twenty-seven thousand three hundred and fifty ten millionths. ADDITION OF DECIMALS, Page 45

1.

2.

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SUBTRACTION OF DECIMALS, Page 47.

3'431; 8.20001; 0011; 8.000001

39 8479194; 31°99968; 7°336606; 91'7423

3. 01; 98*99999901; 9*999999; 995'710; 541787

4. 640317753; 8·20001; 72°5193401

5. 000099; '000396; 31°99968; 24680*12377

6. 699'930; 0000999

7. 0378; 062156

8. 00510; 28999'908

MULTIPLICATION OF DECIMALS, Page 48.

I. 10'0; 10'0; 1190'0; 11'9; '0119; '00119

[blocks in formation]

9.

0001234321; 000444080; 6138.36

DIVISION OF DECIMALS, Page 51.

1. 1982421; 14°16015; 11°01345; 2°7533625; 1*12637557 2017386; *1008693; *0672462; '025217325; *0009456496

2.

3. 134 88057; 7909882353; 59°406396; 24'82661

4. 14789983; 255°121; 1210°234426; *02

5. 8810891; 908.83768; 1108754; 0174532922

6. 711855; 2280*28; 234508

7. 03; 74'84; 43206'7; '000007375; 83671000; 000000000003; *061096.

8. 2681081081; *0000360074; 0001; 6·578947; 00862.

9. 150000; 50600000; *008; 0375313.

10.

II.

12.

13.

14.

15.

013; 4'57; 008; 73939'39.

*050005; 1250*0; '0125; 60·2589.

*0000000125; 125'0; 125'0; '00004.

00000125; '00001; 20200; 77485'93.

10; 10'0; '001; '001; '1000; 10000; '00001.

0093536; 7393'939; 3972366; 241-6292; 200'0; 60000000; 4000000; '000006; 32000000.

16. 0036; 93; *52306; *0008; 0000020076364.

17. 0882352941; 017256637168; 0000999000999000999000999.

1. 4375

2.

REDUCTION OF DECIMALS, Page 53.

73; 2142857; 34375; 1875; 076923; 0112; 275.

5384615; 6470588; 6315789; 185; 7167235; 3183098; 4683544; 0104895.

Page 55.

1. 2833; 4833; '7; '4166; '8; ·9666

2. 788260449735; '05

3. 12.5925 days; 29'71649305 days; 15'7422916 days; 119:22170138 days

4. 8°.1875; 19°•67916; 104°26875; 82°325

5. 046875 tons; 61964285714 tons; 7125 tons; 51875 tons; 13°303125 tons; 1.65 tons; 17.9015625 tons; 8669642 tons

6. 316; 435416; 23125; 796875; 9927083; 1697916; and 476190

I.

2.

EXAMPLES FOR PRACTICE, Page 56.

I qr.; 10 lbs. 8 oz.; 10 oz.; 19 cwt. 2 qrs.; 15 cwt. 2 qrs. 4 lbs. o oz. 8°192 drs.; 4 cwt. 3 qrs. 27 lbs. o oz. 3.6864 drs.; 7 lbs. 8 oz. 15.36 drs.

11h 47m 2; 2d 9h 37m 263; 195d 1h 2m 383; 12h 44m 25.868

3. 17' 44" 8062; 7° 51′ 15**3; 64° 22′ 57′′; 10° 52′ 21′′

4.

17 cub. ft. 29511*59847552 cub. in.

5. 106-434785 gallons

I. 00066281

MISCELLANEOUS EXAMPLES, Pages 56-57.
2. $

3. 29d.5305902j

4. 12'175 hours; 0013

1 N.M. = 1*15202 I.M.; 1 I.M. = ·86804 N.M.; 1°151515, and ·868421
997269560 day
7. 80·655 degrees, or 80° 39′ 30′′; 89.616 grades

1 kilométre = '621382 mile; 1 mile = 1.609315 kilométre

5.

6.

8.

9.

3 ft. 3'42 in.

[blocks in formation]
[blocks in formation]

15. 43'039783 feet; 6'1575164 yards; 89'03894378 miles

17. 7 ft. 5 in.

20. 62 321 lbs.; 35'943 cub. ft. 22. 500 sovereigns

24. 7970 miles

II. *000038

16. 1*240346

19. 3.883 in.

21. 22.7205 tons; 8639.6805 tons

002021; 20210; 1902; 1902000000; 1902000
00000033

CHARACTERISTICS OF LOGARITHMS, Page 61.

23.

25.

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