# The National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods Forming a Complete Course of Higher Arithmetic

Robert S. Davis & Company, 1858 - Arithmetic - 444 pages
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### Contents

 DEFINITIONS 13 NUMERATION 20 SUBTRACTION 30 DIVISION 38 GENERAL PRINCIPLES 53 Reduction of United States 72 General Principles and 78 72 110
 Reduction and Comparison 232 A Common Denominator 303 Multiplication of Common 310 INSURANCE 335 EXCHANGE 349 Alligation Medial 363 INVOLUTION 369 APPLICATIONS OF POWERS 388

 bers 119 PROBLEMS 138 75 159 76 172 DECIMAL FRACTIONS 197 Addition of Circulating Deci 224
 PROGRESSION OR SERIES 395 PERMUTATIONS AND COM 407 169 409 Addition and Subtraction 421 I 442

### Popular passages

Page 320 - B. \$380, to be paid as follows: \$100 in 6 months, \$120 in 7 months, and \$160 in 10 months. What is the equated time for the payment of the whole ? Ans.
Page 44 - The Dividend is the number to be divided. The Divisor is the number by which we divide.
Page 44 - ... is divided. When the dividend does not contain the divisor an exact number of times, the excess is called a remainder, and may be regarded as a fourth term in the division.
Page 100 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 320 - B \$ 600, of which \$ 200 is to be paid at the present time, 200 in 4 months, and 200 in 8 months ; what is the equated time for the payment of the whole ? Ans.
Page 158 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 427 - A Circle is a plane figure bounded by a curved line called a circumference, every point of which is equally distant from a point within called the centre.
Page 204 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 149 - The least common multiple of two or more numbers is the least number that- can be divided by each of them without a remainder ; thus 30 is the least common multiple of 10 and 15.
Page 105 - Thirty days hath September, April, June, and November ; And all the rest have thirty-one, Save February, which alone Hath twenty-eight ; and this, in fine, One year in four hath twenty-nine.