B.H. Sanborn, 1910 - Arithmetic

### Contents

 Thirds sixths and ninths 18 Naming the terms of a fraction 20 Addition 21 Mixed numbers 26 Fractional parts of whole numbers 27 Multiplying by mixed numbers 28 Bills using fractions 30 WHOLE NUMBERS 36 Reading and writing millions 38 Adding two numbers of two digits each 40 Rapid subtraction 44 Rapid work in multiplication 48 Drill for rapid work in multiplication 49 Multiplying by a number of three digits 50 Meaning of abstract and concrete numbers 52 Measures of time 58 FRACTIONS 65 Multiplying a mixed number by a mixed number 84 Division of one by a fraction 91 MENSURATION 98 SIXTH YEAR 119 Multiplication of fractions 128 Division of fractions 131 Ratio 135 The decimal parts of a dollar 142 The decimal notation 143 Addition of decimals 144 Subtraction of decimals 145 A decimal multiplied by an integer 147 Effect of moving the decimal point 148 Multiplying a decimal by a decimal 149 Dividing a decimal by an integer 153 Common fractions changed to decimals 158 A ratio expressed in decimals 159 WHOLE NUMBERS 162 Rapid work in addition 168 Rapid work in subtraction 172 The keeping of accounts 175 An account with cash 178 Short methods in multiplication 180 Short methods in multiplication 181 Short methods in division 183 Time between events 185 PERCENTAGE 186 Fractional equivalents of certain per cents 188 A relation expressed in per cent 189 Discount 191 Trade discount 192 Meaning of simple interest 203 MENSURATION 205 The area of a parallelogram 207 The area of a triangle 211 The area of a trapezoid 214
 Liquid measure 255 Dry measure 257 Weight measures 260 Measurement of time 265 Angle and arc measure 266 Measurement of paper 269 Units in counting 271 Latitude and longitude 275 Standard time 278 Foreign money 280 MENSURATION 284 The ratio of circumference to diameter 285 The area of a circle 288 Rectangular prisms and their volumes 291 The surfaces of rectangular prisms 293 The cylinder 295 PROPORTION 299 Levers 303 1 303 The wheel and axle 305 The statement of a proportion 306 PERCENTAGE 307 Fractional equivalents of per cents 310 A relation expressed as per cent 313 Profit and loss 319 Commission 323 Marking down goods 326 Trade discount 329 Billing goods to the trade 331 Simple interest 343 Promissory notes 345 Security 346 A short method of finding interest 348 EIGHTH YEAR V POWERS AND ROOTS 351 The process of extracting square root 353 MENSURATION 359 Isosceles and equilateral triangles 362 Prisms and pyramids compared 363 Cylinders and cones compared 367 Measurement of the sphere 373 APPLICATIONS OF PERCENTAGE 384 Taxes 386 National revenues 389 Trade discount 391 Successive discounts trade discount 392 A single discount equivalent to two discounts 395 Discounts on goods bought at a discount 396 Simple interest 399 Borrowing at a bank 404 Discounting notes 405 Computing interest by tables 408 Partial payments on a note 411 Compound interest by tables 412

### Popular passages

Page 118 - CUBIC MEASURE 1728 cubic inches (cu. in.) = 1 cubic foot (cu. ft.) 27 cubic feet = 1 cubic yard (cu. yd.) 128 cubic feet = 1 cord (cd...
Page 236 - SQUARE MEASURE 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet — 1 square yard (sq. yd.) 30^ square yards = 1 square rod (sq. rd.) 160 square rods = 1 acre (A.) 640 acres = 1 square mile (sq.
Page 58 - TIME 60 seconds (sec.) = 1 minute (min.) 60 minutes = 1 hour (hr.) 24 hours = 1 day (da.) 7 days = 1 week (wk.) 365 days = 1 common year...
Page 258 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt.) 4 quarts = 1 gallon (gal...
Page 373 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Page 379 - The specific gravity of a substance is the ratio of the weight of a given volume of that substance.
Page 153 - Multiplying or dividing both Dividend and Divisor by the same number, does not change the Quotient.
Page 161 - Therefore, the specific gravity of a solid or a liquid body is the ratio of its weight to the weight of an equal volume of water...
Page 84 - The product of two or more fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.
Page 184 - Given distance and rate to find how long. At 25 miles an hour, how long will it take an automobile to go 160 miles? 9. Given distance and number of units of time to find rate. In 3.2 hours a man walks 12.32 mi. How far does he walk in one hour? Find the rate of speed per hour made by an airship traveling 218.05 miles in 3.5 hour. 10. A fractional part of a whole is given to find the whole. If, when 18 and three...