## The elements of arithmetic...: in which decimal and integral arithmetic are combined, and taught inductively, on the system of Pestalozzi, Part 2 (Google eBook) |

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5th power 9 hours acres amount annuity approximate values Arithmetic bill BOARD bought build a wall bushel cents a pound column commence common difference compound interest contained continued fraction cost cube root cubic debt denominator diameter discount Divide dividend divisible dollars dominical letter equal example exchange Extract extremes feet fraction gain gallons Geometrical Progression given number greatest common divisor harmonical means hours a day hundred improper fraction inches last term least common multiple less lowest terms mean proportional miles minuend months multiplicand Multiply number of terms obtained oxen paid payable payment piece present worth prime factors prime number PROBLEM quotient figure ratio Reduce remainder repetend rods root figure RULE sold square number square root subtract sugar tens third trial divisor units weeks weighs whole number wide yards zeroes

### 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 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 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.