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

U. Hunt and Son, 1844

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### Περιεχόμενα

 Definitions 9 Least Common Multiple 22 Addition of Fractions 29 Compound Numbers Reduction 35 Compound Multiplication 41 Proof by casting out 55 PercentageCommission 65 Accounts Current 73
 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 Miscellaneous ProblemsChronology 171

### Δημοφιλή αποσπάσματα

Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 18 - ... move the decimal point as many places to the right as there are ciphers in the multiplier.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 203 - ... 24 acres in 18 weeks; the grass being at first equal on every acre, and growing uniformly ? THE END.
Σελίδα 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...
Σελίδα 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...