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

D. Appleton & Company, 1851 - 347 páginas

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### Contenido

 A RITHMETIC Defined 9 Subtraetion of Simple Numbers 27 Proof of Multiplication 42 Exercises in Division 62 Least Common Multiple 83 Reciprocals of Numbers 97 Federal Money 111 English Money 124
 Compound Proportion 214 Percentnge 222 Interest by Aliquot Parts 228 Interest when time is Estimated in Days 234 Discount 246 Commission 255 Fellowship 261 Assessment of Taxes 267

 Wine Measure 133 Circular Measure or Motion 139 Addition of Denominate Numbers 150 Exercises in Addition and Subtraction 156 Denominate Fractions 167 Addition of Denominate Fractions 175 Repetends 182 Duodecimals 190 Value of Foreign Coins at Custom House 198
 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

### Pasajes populares

Página 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.
Página 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.
Página 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.
Página 78 - Then multiply all the numerators together for a new numerator, and all the denominators together for a new denominator...
Página 151 - Place the remainder under the column added, and carry the quotient to the next column.
Página 29 - EXAMPLES. 1. In which no figure of the subtrahend is larger than the corresponding figure in the minuend. From 796 subtract 375.
Página 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.
Página 112 - TABLE. 10 Mills (m.) = 1 Cent . . ct. 10 Cents = 1 Dime . . d. 10 Dimes = 1 Dollar . \$. 10 Dollars = 1 Eagle . E.
Página 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.
Página 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.