\fdO'^ - Old Forge Coal Mines

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6G ARITHMETIC. Since there are 2 decimal places in the second multiplicand and 1 in the multiplier, we must point off 2+1 = 3 decimal places in the second product. Since there are 3 decimal places in the third multiplicand and 1 in the multiplier, we must point off 3 + 1 = 4 decimal places in the final product. 1.2 1.^ 24 12
ARITHMETIC. 67 (c) l' = lxlXlXlXlXlXl = l. Ans. {d) .01* = .01 X .01 X .01 X .01 = .00000001. Ans. Since there are 2 decimal places in the multiplicand and in the multiplier, we must point off 2+2 = 4 decimal places in the first product; but, as there .01 is only 1 figure in the product, we .01 prefix 3 ciphers to make the 4 necessary decimal places. Since there are 4 decimal places in the second multiplicand and 2 in the .000 001 multiplier, we must point off 4-|-2=6 •01 decimal places in the second product. .0 0000001 It is necessary to prefix 5 ciphers to make G decimal places. Since there are 6 decimal places in the third multiplicand and 2 in the multiplier, we must point off G + 2 = 8 decimal places in the product. It is necessary to prefix 7 ciphers to make 8 decimal places in the final product. (c) .1" = .1 X .1 X .1 X .1 X .1 = .00001. Ans. Since there is 1 decimal place in the multiplicand and I in the multiplier, we must point off 1 + 1 = 2 decimal places in the first product. It is necessary to .1 prefix 1 cipher to the product. •1 Since there are 2 decimal places in the 01 second multiplicand and 1 in the multiplier, I we must point off 2+1 = 3 decimal places in the second product. It is necessary to prefix 2 ciphers to the second product. Since there are 3 decimal places in the .00 01 third multiplicand and 1 in the multiplier, we • 1 must point off 3+1 = 4 decimal places in .0 001 the third product. It is necessary to prefix 3 ciphers to this product. Since there are 4 decimal places in the fourth multiplicand and 1 in the multiplier, we must point off 4 + 1 or 5 decimal places in the final product. It is necessary to prefix 4 ciphers to this product.
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( W v. 5 Copyright, 1897, by The Co
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Arithmetic, - CONTENTS Algebra, Log
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i ARITHMETIC. of tens. 1 + 8 + 7 +
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4 ARITHMETIC. and the difference (4
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ARITHMETIC. (c) 217 Multiply any tw
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8 ARITHMETIC. 72 in the dividend an
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10 ARITHMETIC. (70 X 50 X 24 X 20).
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12 ARITHMETIC, The 5 in the dividen
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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 36 and 37: 24 ARITHMETIC. • u s o e 3 2 o 93
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 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
Page 86 and 87: 74 ARITHMETIC. (^) 9 -/QO.OO'OO'OO
Page 88 and 89: 76 ARITHMETIC. correction. This, mu
Page 90 and 91: 78 ARITHMETIC. found by division sh
Page 92 and 93: 80 ARITHMETIC. (137) {a) 1 1 f .0 6
Page 94 and 95: 82 ARITHMETIC. (138^ {a) In this ex
Page 96 and 97: 84 ARITHMETIC. (^)
Page 98 and 99: 86 ARITHMETIC. {b) f 6 = VTa 2 4/G.
Page 100 and 101: 88 8 8 ARITHMETIC.
Page 102 and 103: 90 ARITHMETIC. 40,000 144)40000.0(2
Page 104 and 105: 92 ARITHMETIC. (163) 2 ft. 5 in. =
Page 106 and 107: 94 ARITHMETIC. (164) Taking the tim
Page 108 and 109: 96 ALGEBRA. (171) See Arts. 352 and
Page 110 and 111: 98 ALGEBRA. In this case, where we
Page 112 and 113: 100 ALGEBRA. By Art. 482, the signs
Page 114 and 115: 102 ALGEBRA. (189) Applying the met
Page 116 and 117: 104 ALGEBRA. (196) {a) ^+_;/ + ^-(^
Page 118 and 119: 106 ALGEBRA- (201 ) The subtraction
Page 120 and 121: 108 ALGEBRA. Canceling the factors
Page 122 and 123: 110 ALGEBRA. (208) (a) Writing the
Page 124 and 125: 112 ALGEBRA. 20j^(4^+5)-12.r(3:r-7)
Page 127 and 128: 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?^ :>
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UNIVERSrTY OF ILLINOIS-URBANA 3 011
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