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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Page 6
... Roots is universally admitted to be the best that has ever been proposed , and has there- fore been substituted for the ... Root , and the collection of valuable Tables at the close of the present vol- ume . The examples are of such a ...
... Roots is universally admitted to be the best that has ever been proposed , and has there- fore been substituted for the ... Root , and the collection of valuable Tables at the close of the present vol- ume . The examples are of such a ...
Page 8
... Root 112 Extraction of the Cube Root 118 General Rule for the Roots of all Powers 122 Arithmetical Progression 127 Geometrical Progression 131 Harmonical Progression 136 Annuities 137 Exchange 143 Divisibility of Numbers 146 Numerical ...
... Root 112 Extraction of the Cube Root 118 General Rule for the Roots of all Powers 122 Arithmetical Progression 127 Geometrical Progression 131 Harmonical Progression 136 Annuities 137 Exchange 143 Divisibility of Numbers 146 Numerical ...
Page 108
... root is the number involved , or the first power . If the root be multiplied by itself , or employed twice as a factor , the product is the second power . If the root is employed three times as a factor , it is raised 08 IN VOLUTION ...
... root is the number involved , or the first power . If the root be multiplied by itself , or employed twice as a factor , the product is the second power . If the root is employed three times as a factor , it is raised 08 IN VOLUTION ...
Page 109
... root , called the exponent , or index . When there is no ex- ponent , the number is regarded as the 1st power . The second power is often called the square , because the number of square feet in any square surface , is ob- tained by ...
... root , called the exponent , or index . When there is no ex- ponent , the number is regarded as the 1st power . The second power is often called the square , because the number of square feet in any square surface , is ob- tained by ...
Page 110
... root of any given power . Thus , 3 is the 2d root of 9 , the 3d .root of 27 , the 5th root of 243 , because 9 = 32 , 27 = 33 , 243-35 . So the 2d or square root of 49 is 7 ; the 3d or cube root of 125 is 5 ; the 4th root of 16 is 2 ; the ...
... root of any given power . Thus , 3 is the 2d root of 9 , the 3d .root of 27 , the 5th root of 243 , because 9 = 32 , 27 = 33 , 243-35 . So the 2d or square root of 49 is 7 ; the 3d or cube root of 125 is 5 ; the 4th root of 16 is 2 ; the ...
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Common terms and phrases
5th power 9 hours acres amount annuity approximate values Arithmetic Avoirdupois bill bought bushel cents a pound column commence common difference compound interest contained continued fraction cost cube root cubic decimal 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 marcs 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 undecillion units weeks weighs whole number wide yards zeroes లు
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.