Elements of Arithmetic: For Schools and Academies. In which Decimal and Integral Arithmetic are Combined, and Taught Inductively, on the System of Pestalozzi. Part secondUriah Hunt and Son, 1844 - 144 σελίδες |
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Σελίδα 84
... extremes , the second and third terms the means , and in every proportion the product of the extremes is equal to the product of the means . Take for example the proportion 3 : 9 :: 5 : 15. This may also be written 3. Reducing these ...
... extremes , the second and third terms the means , and in every proportion the product of the extremes is equal to the product of the means . Take for example the proportion 3 : 9 :: 5 : 15. This may also be written 3. Reducing these ...
Σελίδα 85
... extreme are given . Dividing the product of the means by the given extreme , we obtain 5 men for the an- swer , and our completed proportion is , men . men . 8 : 5 : 8 : 5 Hence we derive the RULE OF THREE . Ans . Write that number ...
... extreme are given . Dividing the product of the means by the given extreme , we obtain 5 men for the an- swer , and our completed proportion is , men . men . 8 : 5 : 8 : 5 Hence we derive the RULE OF THREE . Ans . Write that number ...
Σελίδα 87
... extremes , and the product of the means , give us the product of each cause by its opposite effect . Times are causes , for 2 days will produce twice as much as one day . In questions of freight , we may regard distances and bulk as ...
... extremes , and the product of the means , give us the product of each cause by its opposite effect . Times are causes , for 2 days will produce twice as much as one day . In questions of freight , we may regard distances and bulk as ...
Σελίδα 127
... extremes ; the other terms the means . Thus , in the ascending series , - 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , the extremes are 2 and 16 , and the common difference is 2 . In the descending series , ― 20 , 16 , 12 , 8 , 4 , 0 , the extremes ...
... extremes ; the other terms the means . Thus , in the ascending series , - 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , the extremes are 2 and 16 , and the common difference is 2 . In the descending series , ― 20 , 16 , 12 , 8 , 4 , 0 , the extremes ...
Σελίδα 128
... extremes , or to twice the middle term , when the number of terms is odd . 1 , 5 , 9 , 13 , 17 , 21 , 25 , 29 , 33 ... extremes , which is equal to twice the sum de- sired . Hence we derive the following RULE . To obtain the last term ...
... extremes , or to twice the middle term , when the number of terms is odd . 1 , 5 , 9 , 13 , 17 , 21 , 25 , 29 , 33 ... extremes , which is equal to twice the sum de- sired . Hence we derive the following RULE . To obtain the last term ...
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5th power 9 hours acres amount annuity approximate values Arithmetic Avoirdupois bill BOARD bought bushel cents a pound column commence common difference compound interest contained continued fraction cost cube root cubic 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 weight whole number wide yards zeroes లు
Δημοφιλή αποσπάσματα
Σελίδα 18 - Remove the decimal point as many places to the right as there are ciphers in the multiplier.
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 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.
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 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.
Σελίδα 9 - ... say one and one are two, two and one are three, three and one are four, four and one are five, five and one are six, six and two are eight ; in this way they go on until they are desired to stop.
Σελίδα 207 - A farmer has a stack of hay, from which he sells a quantity which is to the quantity remaining, as 4 to 5. He then uses 15 loads and finds that the quantity left, is to the quantity sold, as 1 to 2. Required the number of loads at first in the stack.
Σελίδα 130 - RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient.
Σελίδα 117 - All numbers between 1000 or 103, antj iQO0000 or 100», 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 will show the number of figures in the root. EXAMPLES FOR THE BOARD. In order properly to understand the principles of the cube root, the student should be provided with the following blocks : 1. A cubical block, each side measuring 3 inches,...