## 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 |

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Page 84

The antecedents and consequents may , therefore , change places in a variety of ways , the proportion always continuing so long as

The antecedents and consequents may , therefore , change places in a variety of ways , the proportion always continuing so long as

**the product of the means is equal to the product of the extremes**. Then , whenever one of the extremes ...### What people are saying - Write a review

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acres added amount annuity approximate bank barrels bill BOARD bought build bushel called carry cent CHAPTER column commence common compound interest contained cost cubic decimal denominator diameter difference Divide dividend divisible divisor dollar employed equal example exchange Extract extremes factors feet figure fraction gain gallons give given gold greater greatest half hours a day hundred inches interest length less letters means measure miles months Multiply number of terms obtained paid payment persons piece pound present worth prime principal PROBLEM proportion quotient ratio received Reduce remainder rods root RULE selling share side simple sold square square root subtract sugar tens third twice units wall weeks weight whole wide Write yards

### Popular passages

Page 18 - Remove the decimal point as many places to the right as there are ciphers in the multiplier.

Page 175 - 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 104 - 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 104 - 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 205 - 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 128 - RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient.

Page 115 - 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,...