## The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are Combined, and Taught Inductively: On the System of Pestalozzi. Part 1st [2d]. |

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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 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 gallon give given gold greater greatest half hours a day hundred inches 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 thousand twice units wall weeks weight whole wide Write yards

### Popular passages

Page 136 - WHEN three numbers are such that the first is to the third, as the difference of the first and second is to the difference of the second and third...

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

Page 29 - Ten Pounds Avoirdupois Weight of distilled Water weighed in Air, at the Temperature of Sixty two Degrees of Fahrenheit's Thermometer, the Barometer being at Thirty Inches...

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 20 - DIVISION is - the process by which we find how many times one number or part of a number is contained in, or may be subtracted from, another. The number to be divided is the dividend. The number to divide by, is the divisor. The number of times the dividend contains the divisor, is the quotient. The divisor and quotient may also be regarded as factors of the dividend. The number left, (if any,) after the operation, is the remainder.

Page 203 - ... 24 acres in 18 weeks; the grass being at first equal on every acre, and growing uniformly ? THE END.

Page 117 - ... nine integral cubes between 1 and 1000. All the other intermediate integers are imperfect cubes, and their roots can only be obtained approximately. All perfect cubes from 1 to 1000, evidently have but one integral figure in their cube root. All numbers between 1000 or 103, and 1000000 or 1003, 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...

Page 22 - That from and after the passage of this act, the following silver coins shall be of the legal value, and shall pass current as money within the United States, by tale, for the payment of all debts and demands, at the rate of...