# An Elementary Arithmetic Designed for Academies and Schools: Also Serving as an Introduction to the Higher Arithmetic

D. Appleton & Company, 1851 - Arithmetic - 347 pages
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### Contents

 ARITHMETIC Defined 9 Numeration Table exhibiting both the French and English methods 16 Subtraction of Simple Numbers 27 Proof of Subtraction 33 Proof of Multiplication 42 Exercises in Multiplication 50 Questions exercising the Four Ground Rules 66 Least Common Multiple 83
 95 180 Repetends 182 100 190 105 196 Value of Foreign Coins at Custom House 198 Compound Proportion 214 111 219 Percentage 222

 Subtraction of Fractions 91 Reciprocals of Numbers 97 Addition of Decimal Fractions 103 Federal Money 111 Denominate Numbers 123 Cloth Measure 130 Wine Measure 133 13 136 Circular Measure or Motion 139 14 143 Addition of Denominate Numbers 150 69 156 Questions involving the preceding Rules 165 88 167 91 173 Addition of Denominate Fractions 175
 Interest by Aliquot Parts 228 114 234 116 242 Discount 246 Commission 255 123 258 Fellowship 261 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 111 - 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 107 - 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 237 - 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 78 - Then multiply all the numerators together for a new numerator, and all the denominators together for a new denominator...
Page 151 - Place the remainder under the column added, and carry the quotient to the next column.
Page 29 - EXAMPLES. 1. In which no figure of the subtrahend is larger than the corresponding figure in the minuend. From 796 subtract 375.
Page 330 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Page 112 - TABLE. 10 Mills (m.) = 1 Cent . . ct. 10 Cents = 1 Dime . . d. 10 Dimes = 1 Dollar . \$. 10 Dollars = 1 Eagle . E.
Page 108 - ... it follows, that in division the decimal places of the dividend must be equal to the number of places in the divisor and quotient taken together. Hence, the number of decimal places in the quotient must equal the excess of those in the dividend above those in the divisor.
Page 107 - In multiplication of decimals, we know that the number of decimal places in the product is equal to the sum of those in both the factors.