# Arithmetic, in which the Principles of Operating by Numbers are Analytically Explained and Synthetically Applied

R.B. Collins, 1848 - Arithmetic - 262 pages
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### Contents

 Notat on and Numeration viii Review of Division 16 59 33 Problems in the Measurement of Rec 69 Review of Multiplication 75 Notation of Common Fractions 83 New Numerators 91
 tions 98 Decimal Fractions 108 To read Decimals 112 COMPOUND NUMBERS 119 of Federal Money 127 106 135 Land or Square 140

### Popular passages

Page 130 - 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.
Page 248 - 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 14 - From the foregoing we deduce the following principles : — Numbers increase from right to left, and decrease from left to right, in a ten-fold ratio ; and it is A FUNDAMENT4L LAW OF THE ARABIC NOTATION ; that, Questions.
Page 254 - PROBLEM I. The first term, the last term, and the number of terms being given, to find the sum of all the terms.
Page 78 - The least common denominator of two or more fractions is the least common multiple of their denominators.
Page 37 - Two men depart from the same place, and travel in opposite directions, one at the rate of...
Page 212 - In the proportion a : b : : c : d, each of the quantities a, b, c, d, is called a term. The first and last terms are called the extremes, the second and third, the means.
Page 128 - The denominations are chaldrons, quarters, bushels, pecks, quarts, and pints. TABLE. 2 pints (pts.) make 1 quart, marked qt. 8 quarts 1 peck, " pk. 4 pecks 1 bushel, " bu. 8 bushels 1 quarter,
Page 69 - IT 66. Reduction of Fractions. Reduction of fractions is changing them from one form to another without altering their value. To reduce an improper fraction to a whole or mixed number. 1. In 4 halves (J) .of an apple how many whole apples? SOLUTION. — Since 2 halves...
Page 61 - Multiplying or dividing both dividend and divisor by the same number, does not alter the quotient.