# Elements of Arithmetic: For Schools and Academies. In which Decimal and Integral Arithmetic are Combined, and Taught Inductively, on the System of Pestalozzi. Part second

Hunt, 1844 - Arithmetic - 240 pages
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### Contents

 Definitions Page 9 Addition 15 Least Common Multiple 22 Addition of Fractions 29 Compound NumbersReduction 35 Compound Multiplication 41 Proof by casting out 9s 55 PercentageCommission 62
 Permutation and Combination 106 Extraction of the Square Root 112 General Rule for the Roots of all Powers 122 Geometrical Progression 131 Annuities 137 Exchange 143 Numerical Approximations 151 Analysis 162

### Popular passages

Page 18 - Remove the decimal point as many places to the right as there are ciphers in the multiplier.
Page 177 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.
Page 30 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 106 - PROBLEM II. Any number of different things being given, to find how many changes can be made out of them by taking a given number of the things at a time.
Page 27 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 106 - To find the number of Permutations or changes, that can be made of any given number of things, all different from each other.- . RULE. Multiply all the terms of the natural series of numbers, from one up to the given number, continually together, and the last product will be the answer required.
Page 9 - ... say one and one are two, two and one are three, three and one are four, four and one are five, five and one are six, six and two are eight ; in this way they go on until they are desired to stop.
Page 207 - A farmer has a stack of hay, from which he sells a quantity which is to the quantity remaining, as 4 to 5. He then uses 15 loads and finds that the quantity left, is to the quantity sold, as 1 to 2. Required the number of loads at first in the stack.
Page 130 - RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient.
Page 117 - All numbers between 1000 or 103, antj iQO0000 or 100�, will have two figures in their root. And generally, if we divide a cube into periods of three figures each, by placing a point over units, and one over every third figure from units, the number of points will show the number of figures in the root. EXAMPLES FOR THE BOARD. In order properly to understand the principles of the cube root, the student should be provided with the following blocks : 1. A cubical block, each side measuring 3 inches,...