\fdO'^ - Old Forge Coal Mines

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24 ARITHMETIC. • u s o e 3 2 o 93.0 1 1 = Ninety-three, and one hundred one ten'thousaadtha In reading decimals, read the number just as you would if there were no ciphers before it. Then count from the decimal point towards the right, beginning with tenths, to as many places as there are figures, and the name of the last figure must be annexed to the previous reading of the figures to give the decimal reading. Thus, in the first example above, the simple reading of the figure is eight, and the name of its position in the decimal scale is hundredths, so that the decimal reading is eight hundredths. Similarly, the figures in the fourth example are ordinarily read twejity-seveti ; the name of the position of the figure 7 in the decimal scale is millionths, giving, therefore, the decimal reading as tivetity-seven millionths. If there should be a whole number before the decimal point, read it as you would read any whole number, and read the decimal as you would if the whole number were not there; or, read the whole number and then say, "and " so many hundredths, thousandths, or whatever it may be, as "ninety-three, and one hundred one ten thousandths. " (52) See Art. 139. (53) See Art. 153. (54) See Art. 160. (55) A fraction is one or more of the equal parts of a unit, and is expressed by a numerator and a denominator, while a decimal fraction is a number of tentJis, hundredths, thousandths, etc., of a unit, and is expressed by placing a period (.), called a decimal point, to the left of the figures of the number, and omitting the denominator. (56) See Art. 165.
ARITHMETIC. 25 (57) To reduce the fraction ^ to a decimal, we annex one cipher to the numerator, which makes it 1.0. Dividing 1.0, the numerator, by 2, the denominator, gives a quotient of .5, the decimal point being placed before the o?ie figure of the quotient, or .5, since only
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Page 3: c c c tec C €
Page 8 and 9: ( W v. 5 Copyright, 1897, by The Co
Page 11: Arithmetic, - CONTENTS Algebra, Log
Page 14 and 15: i ARITHMETIC. of tens. 1 + 8 + 7 +
Page 16 and 17: 4 ARITHMETIC. and the difference (4
Page 18 and 19: ARITHMETIC. (c) 217 Multiply any tw
Page 20 and 21: 8 ARITHMETIC. 72 in the dividend an
Page 22 and 23: 10 ARITHMETIC. (70 X 50 X 24 X 20).
Page 24 and 25: 12 ARITHMETIC, The 5 in the dividen
Page 26 and 27: 14 ARITHMETIC. (22) (a) 576) 589824
Page 28 and 29: 16 ARITHMETIC. (33) To reduce a fra
Page 30 and 31: 18 ARITHMETIC. 3 3 (e) 15-r-7-43-=
Page 32 and 33: 20 ARITHMETIC. (41) ,9| + 50i + 41+
Page 34 and 35: 22 ARITHMETIC. (45) The man evident
Page 38 and 39: 26 ARITHMETIC. {b) Here again the p
Page 40 and 41: 28 ARITHMETIC. 64) 1.000000(. 01562
Page 42 and 43: 30 ARITHMETIC. (66) In subtraction
Page 44 and 45: 38 ARITHMETIC. (6) .875 — 5-=? Re
Page 46 and 47: 84 ARITHMETIC. {c) First perform th
Page 48 and 49: 36 ARITHMETIC. Reducing 387 387 to
Page 50 and 51: 38 ARITHMETIC. nominator of the fra
Page 52 and 53: 40 ARITHMETIC. (d) Base = percentag
Page 54 and 55: 42 ARITHMETIC. Another method of so
Page 56 and 57: 44 ARITHMETIC. (89) Here we have gi
Page 58 and 59: 46 ARITHMETIC. 24 ) 13750 gr. 20 )
Page 60 and 61: 48 ARITHMETIC. (98) Reduce the grai
Page 62 and 63: 50 ARITHMETIC. contained times in 3
Page 64 and 65: gal.
Page 66 and 67: 54 ARITHMETIC. (108) In multiplicat
Page 68 and 69: 56 ARITHMETIC. Since there are 24 g
Page 70 and 71: 58 ARITHMETIC. There are 100 lb. in
Page 72 and 73: 60 ARITHMETIC. 62 is contained in 1
Page 74 and 75: 63 ARITHMETIC. (121) (a) 106' = 106
Page 76 and 77: 64 ARITHMETIC. (^) .4044* = .4044 X
Page 78 and 79: 6G ARITHMETIC. Since there are 2 de
Page 80 and 81: 68 ARITHMETIC. (128) {a) .0133' =.0
Page 82 and 83: 70 ARITHMETIC (130^ (a) 1 1 20 _8 2
Page 84 and 85: 72 ARITHMETIC. in the root. Write i
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74 ARITHMETIC. (^) 9 -/QO.OO'OO'OO
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76 ARITHMETIC. correction. This, mu
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78 ARITHMETIC. found by division sh
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80 ARITHMETIC. (137) {a) 1 1 f .0 6
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82 ARITHMETIC. (138^ {a) In this ex
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84 ARITHMETIC. (^)
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86 ARITHMETIC. {b) f 6 = VTa 2 4/G.
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88 8 8 ARITHMETIC.
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90 ARITHMETIC. 40,000 144)40000.0(2
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92 ARITHMETIC. (163) 2 ft. 5 in. =
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94 ARITHMETIC. (164) Taking the tim
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96 ALGEBRA. (171) See Arts. 352 and
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98 ALGEBRA. In this case, where we
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100 ALGEBRA. By Art. 482, the signs
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102 ALGEBRA. (189) Applying the met
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104 ALGEBRA. (196) {a) ^+_;/ + ^-(^
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106 ALGEBRA- (201 ) The subtraction
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108 ALGEBRA. Canceling the factors
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110 ALGEBRA. (208) (a) Writing the
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112 ALGEBRA. 20j^(4^+5)-12.r(3:r-7)
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ALGEBRA. (QUESTIONS 218-257.) (218)
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ALGEBRA. 117 Clearing of fractions,
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ALGEBRA. 119 Transposing, — A:X*
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Completing the square, ALGEBRA. 131
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Extracting ALGEBRA. 123
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(d) Completing the square, Extracti
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ALGEBRA. 127 (238) (a) i/| by Art.
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(242) ALGEBRA. 139 Let X = the whol
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(246) Then,-^ X ALGEBRA. 131 Let X
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ALGEBRA. 133 y+5-{x-o) = 6. (1) But
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ALGEBRA. 136 (266) Let X — the nu
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LOGARITHMS. (QUESTIONS 258-272.) (2
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l^OGARITHMS. 139 .6602 -3 — 1.980
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LOGARITHMS. 141 {l>) .76'"._ Log .7
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LOGARITHMS. 143 (271) Substituting
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140 GEOMETRY AND TRIGONOMETRY. in t
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148 GEOMETRY AND TRIGONOMETRY. 3 (2
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150 GEOMETRY AND TRIGONOMETRY. (302
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154 GEOMETRY AND TRIGONOMETRY. draw
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158 GEOMETRY AND TRIGONOMETRY. {d)
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1G4 GEOMETRY AND TRIGONOMETRY. (354
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166 ELEMENTARY MECHANICS. per min.
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168 ELEMENTARY MECHANICS. replaced,
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170 ELEMENTARY MECHANICS. (384) (a)
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172 ELEMENTARY MECHANICS. (389) See
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174 ELEMENTARY MECHANICS. (398) 1 h
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176 ELEMENTARY MECHANICS (412) Use
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180 ELEMENTARY MECHANICS. a distanc
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184 ELEMENTARY MECHANICS. (d) Using
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186 ELEMENTARY MECHANICS. (452) (a)
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188 HYDROMECHANICS. (457) (a) Area
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190 HYDROMECHANICS. Pressure due to
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192 HYDROMECHANICS. (47 1 ) (a) 36
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194 HYDROMECHANICS. 5' X 7854 (479)
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196 HYDROMECHANICS. (d) See Art. 10
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198 HYDROMECHANICS. Pressure per sq
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aOO HYDROMECHANICS. For z;„ = 4,/
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202 PNEUMATICS. (509) Substituting
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204 PNEUMATICS. (519) 8.47 = origin
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206 PNEUMATICS. (537) (a) 30 — 17
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208 PNE-aMATlCS. (548) CO' — 50'
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210 STRENGTH OF MATERIALS. P- p-^^.
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212 STRENGTH OF MATERIALS. Since 40
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214 STRENGTH OF MATERIALS. drawn. P
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21G STRENGTH OF MATERIALS. c \d of
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218 STRENGTH OF MATERIALS. n o. I//
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220 STRENGTH OF MATERIALS. Substitu
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222 STRENGTH OF MATERIALS. (589) Su
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224 STRENGTH OF MATERIALS. (597) {a
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226 STRENGTH OF MATERIALS. (d) In t
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228 STRENGTH OF MATERIALS. (604) Us
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230 STRENGTH OP MATERIALS. (609) Th
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232 STRENGTH OF MATERIALS. moments
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234 SURVEYING. adjacent sides of th
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236 SURVEYING. (622) 1st. A B in Fi
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238 SURVEYING. true bearing IS the
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240 SURVEYING. A B, as the bearing
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Un SURVEYING. an angle of 15° 10'
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244 SURVEYING. in dotted lines. In
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246 SURVEYING. table of Radii and D
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248 SURVEYING. ^^^ = 1.875'. The de
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. (690) 250 SURVEYING. sight to the
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252 SURVEYING. and including that a
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254 SURVEYING. horizontal lines 1 f
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(706) LAND SURVEYING (QUESTIONS 706
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LAND SURVEYING. 259 ture of A B is
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LAND SURVEYING. 261 -{-, in the col
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LAND SURVEYING. 263 is +8.86 chains
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a a *• o « .i Q a V Q + • hJ *
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LAND SURVEYING. 2G7
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RAILROAD LOCATION. (756) (QUESTIONS
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RAILROAD LOCATION. 271 second curve
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RAILROAD LOCATION. 273 in which;!'
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RAILROAD LOCATION. 275 Whence, we h
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RAILROAD LOCATION. 277 4.0827 ft.,
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point so determined by RAILROAD LOC
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282 RAILROAD CONSTRUCTION. (818) Th
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884 RAILROAD CONSTRUCTION. (833) Ap
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286 RAILROAD CONSTRUCTION. (859) Fi
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288 RAILROAD CONSTRUCTION. (864) (8
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RAILROAD CONSTRUCTION. (QUESTIONS 8
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RAILROAD CONSTRUCTION. 293 (896) Se
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RAILROAD CONSTRUCTION. 295 (a) The
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RAILROAD CONSTRUCTION. 207 (939) Se
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300 TRACK WORK. (962) (963) (964) (
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302 TRACK WORK. (994) See Art. 1687
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304 TRACK WORK. (1008) 8 ft. G in.
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306 RAILROAD STRUCTURES. (1039) See
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308 RAILROAD STRUCTURES. (1060) Fro
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3," ^ >;> :3 3>32> ^ >:> J> Oi?^ :>
Page 328:
UNIVERSrTY OF ILLINOIS-URBANA 3 011
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