# An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

D. Appleton & Company, 1869 - Arithmetic - 347 pages

### Contents

 ARITHMETIC Defined 9 Subtraction of Simple Numbers 27 Proof of Multiplication 42 Proof of Division 56 Reduction of Vulgar Fractions 69 Least Common Multiple 83 Reciprocals of Numbers 97 Federal Money 111
 Value of Foreign Coins at Custom House 198 Compound Proportion 214 Percentage 222 Interest by Aliquot Parts 228 Interest when time is Estimated in Days 234 Discount 246 Commission 255 Fellowship 261

 English Money 124 Wine Measure 133 Circular Measure or Motion 139 Addition of Denominate Numbers 150 Exercises in Addition and Subtraction 56 156 Questions involving the preceding Rules 165 Addition of Denominate Fractions 175 Repetends 182 Duodecimals 190
 Assessment of Taxes 267 Involution 279 Extraction of the Square Root 287 Extraction of the Cube Root 294 Examples involving the Cube Root 306 Geometrical Progression 312 Alligation Alternate 319 Mensuration 325 Promiscuous Questions 338

### Popular passages

Page 105 - 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 109 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 233 - 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 ail the payments are absorbed; provided the time between one payment and another be one year or more.
Page 135 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 232 - 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 240 - RULE. — Divide the given interest by the interest of the given principal for 1 year, and the quotient is the time.
Page 232 - 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 towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.
Page 131 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 282 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 123 - TROY WEIGHT. 24 grains (gr.) = 1 pennyweight (pwt.). 20 pennyweights = 1 ounce (oz.). 12 ounces = 1 pound (lb.). 351. Apothecaries' weight is used in mixing medicines and in selling them at retail. APOTHECARIES