# Practical Arithmetic, by Induction and Analysis

Winthrop B. Smith & Company, 1857 - Arithmetic - 320 pages
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### Contents

 Notation and Numeration 9 Multiplication 33 Division 43 Review of Principles 61 Cancellation 67 Promiscuous Examples in U S Money 83 Avoirdupois Weight 89 Cloth Measure 93
 COMMON FRACTIONS 134 DECIMAL FRACTIONS 177 RATIO 195 PROPORTION CONTINUED PAGE 205 PERCENTAGE AND ITS APPLICATIONS 212 INTEREST 220 PARTNERSHIP 253 ALLIGATION MEDIAL 260

 Circular Measure 99 Subtraction of Compound Numbers 107 Division of Compound Numbers 114 FACTORING PAGE 120 GREATEST COMMON DIVISOR 126
 EXCHANGE OF CURRENCIES 269 INVOLUTION 275 ARITHMETICAL PROGRESSION 293 PERMUTATION 299 PROMISCUOUS QUESTIONS 814 314

### Popular passages

Page 34 - It shows that the numbers between which it is placed, are to be multiplied together. Thus the expression 9x6, signifies that 9 and 6 are to be multiplied together, and is read, " 9 multiplied by 6," or, simply,
Page 183 - 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 141 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 194 - In any proportion, the product of the means is equal to the product of the extremes.
Page 225 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Page 228 - Compute the interest to the time of the first payment ; if 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 225 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied...
Page 235 - The Present Worth of a debt, payable at a future time without interest, is such a sum as, being put at legal interest, will amount to the given debt when it becomes due.
Page 125 - Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remain.
Page 142 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.