# Arithmetic: In which the Principles of Operating by Numbers are Analytically Explained and Synthetically Applied : Illustrated by Copious Examples

J.W. Prentiss & Company, 1848 - 306 σεκΏδερ

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### –εώιεςϋλεμα

 Contractions in Division 59 Miscellaneous Exercises 65 Definitions 73 Multiplication of whole numbers by 95 Division of whole numbers by a fraction 101 Decimal Fractions 108 Division of Decimal Fractions 124 NUMBERS 131
 General Rule 199 To compute interest on pounds shil 205 Table 211 Ratio 235 Compound Proportion 242 Exchange 251 Involution 260 Extraction of the Cube Root 269

 MeASURE OF ExTENSION 138 Reduction of I Wine Measure 143 To reduce integers of a lower to frac 149 Addition of Compound Numbers 156 PERCENTAGE 187 Stocks 193
 Review 274 Geometrical Progression 281 Compound Discount Table 285 in Rever 291 Measurement of Surfaces 298

### Ργλοωικό αποσπήσλατα

”εκΏδα 144 - Thirty days hath September, April. June, and November; All the rest have thirty.one, Save February, which alone Hath twenty.eight; and one day more We add to it one year in four.
”εκΏδα 47 - It shows that the number before it is to be divided by the number after it. Thus...
”εκΏδα 270 - 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.
”εκΏδα 145 - TABLE. 60 seconds (") - make - 1 minute, - marked - ' 60 minutes - - - - - 1 degree, ----- Α 30 degrees ----- 1 sign, ------ s. 12 signs, or 360 degrees, - 1 circle of the zodiac. Note. Every circle, whether great or small, is divisible into 360 equal parts, called degrees. 71. Reduce 9s. 13Α 25
”εκΏδα 52 - Number ; thus, the number 17Θ (apples) in the above example, is a mixed number, being composed of the integers 17 and the fraction...
”εκΏδα 82 - 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.
”εκΏδα 275 - RULE.* — Multiply the sum of the extremes by the number of terms, and half the product will be the answer.
”εκΏδα 169 - Every circle, whether great or small, is supposed to be divided into 360 equal parts, called degrees. Let the accompanying diagram represent the great circle of the earth, called the equator, divided, as you here see.
”εκΏδα 30 - Multiplication is the process of taking one of two numbers as many times as there are units in the other.
”εκΏδα 270 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before, and so on, till the whole is completed. NOTE 1 . The same rule must be observed for continuing the operation, and pointing for decimals, as in the square root.