# The National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods, Together with the Cancelling System : Forming a Complete Mercantile Arithmetic

Robert S. Davis & Company, 1852 - Arithmetic - 360 pages

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### Contents

 Addition 13 Division 30 Contractions in Multiplication 37 Partial Payments 38 Tables of Money Weights and Measures 44 Compound Addition 50 Reduction 64 Compound Multiplication 78
 Simple Interest 170 Proportion 215 Chain Rule 221 General Average 227 Duodecimals 234 Extraction of the Square Root 241 Extraction of the Cube Root 248 Arithmetical Progression 257

 Compound Division 86 Addition of Vulgar Fractions 110 Multiplication of Vulgar Fractions 121 Questions to be performed by Analysis 129 Decimal Fractions Numeration of Decimal Fractions 135 135 Division of Decimals 141 Exchange of Currencies 147 Addition of Circulating Decimals 156 Questions to be performed by Analysis 162
 Infinite Series 267 Alligation 275 Life Insurance 282 Exchange 290 Value of Gold Coins 305 Gauging 327 Mechanical Powers 335 Strength of Materials 341 Miscellaneous Questions 347

### Popular passages

Page 178 - Compute the interest to the time of the first payment ; that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and in like manner from one payment to another, till all the payments are absorbed: provided the time between one payment and another be one year or more.
Page 174 - Compute the interest on the principal sum, from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payment...
Page 205 - Ratio is the relation which one quantity bears to another of the same kind, the comparison being made by considering what multiple, part, or parts, one quantity is of the other.
Page 262 - Raise the ratio to a power whose index is equal to the number of terms, from which subtract 1 ; divide the remainder by the ratio, less 1, and the quotient, multiplied by the first term, will be the answer.
Page 317 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 298 - Thirty days after sight of this first of exchange (second and third of the same tenor and date unpaid...
Page 329 - ... above the upper deck ; the breadth thereof at the broadest part above the main wales, half of which breadth shall be accounted the depth of such vessel, and...
Page 94 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Page 200 - 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 243 - Double the figures already found in the root for a new divisor, (or, bring down your last divisor for a new one, doubling the right hand figure of it,) and from these find the next figure in the root, as last directed, and continue the operation in the same manner, till you have brought down all the periods.