## The Elements of Arithmetic...: In which Decimal and Integral Arithmetic are Combined, and Taught Inductively, on the System of Pestalozzi, Part 2 |

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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 dollars 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 thousand twice units wall weeks weight whole wide Write yards

### Popular passages

Page 127 - And we may moreover observe, that the sum of the extremes is equal to the sum of any two terms equally distant from the extremes, or to twice the middle term, when the number of terms is odd.

Page 177 - To find the solid contents of a cylinder. RULE. Multiply the area of the base by the height.

Page 107 - Take a series of numbers, commencing with the number of things given, and decreasing by 1, until the number of terms is equal to the number of things to be taken at a time : the product of all the terms will be the answer required.

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

Page 166 - If 2 men start from the same place and travel in opposite directions, one at the rate of 4...

Page 25 - 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 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 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 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 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.