The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile Colleges. Forming a Complete Treatise on Arithmetical Science, and Its Commercial and Business ApplicationsIvison, Blakeman, Taylor & Company, 1875 - 446 pages |
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Page 3
... Hence , the leading method in an elementary course of instruction should be the Synthetic , while in an advanced course it should be the Analytic . The following characteristics of a first class text - book will be obvious to all who ...
... Hence , the leading method in an elementary course of instruction should be the Synthetic , while in an advanced course it should be the Analytic . The following characteristics of a first class text - book will be obvious to all who ...
Page 23
... following principles : I. If the like orders of units be added separately ... Hence , III . The work must commence with the lowest unit , in order to ... following RULE . I. Write the numbers to be added so that all the units of the same ...
... following principles : I. If the like orders of units be added separately ... Hence , III . The work must commence with the lowest unit , in order to ... following RULE . I. Write the numbers to be added so that all the units of the same ...
Page 33
... Hence , the following RULE . I. Having written the several subtrahends under the min- uend , add the first column of the subtrahends , and supply such a figure in the remainder sought , as , added to this partial sum , will give an ...
... Hence , the following RULE . I. Having written the several subtrahends under the min- uend , add the first column of the subtrahends , and supply such a figure in the remainder sought , as , added to this partial sum , will give an ...
Page 35
... following principles : It is evident that 5 units taken 3 times is the same as 3 units taken 5 times ; and the same is true of any two factors Hence ... Therefore , commencing at the right hand , we say ; 8 times 6 units are 48 units , or 4 ...
... following principles : It is evident that 5 units taken 3 times is the same as 3 units taken 5 times ; and the same is true of any two factors Hence ... Therefore , commencing at the right hand , we say ; 8 times 6 units are 48 units , or 4 ...
Page 37
... following principles : I. If the excess of 9's be subtracted from a number , the re- mainder will be a number having ... Therefore , the excess of 9's in the entire product must be the same as the excess of 9's in the last partial product , ...
... following principles : I. If the excess of 9's be subtracted from a number , the re- mainder will be a number having ... Therefore , the excess of 9's in the entire product must be the same as the excess of 9's in the last partial product , ...
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Common terms and phrases
acres amount ANALYSIS annex Arithmetic barrels bought bushels ciphers column common denominator common fraction compound interest continued fraction cost currency decimal places diameter difference discount Divide dividend dollars DRY MEASURE equal exact divisors EXAMPLES FOR PRACTICE excess of 9's exchange expressed flour following RULE fraction whose denominator gain gallons given number gold greater number greatest common divisor Hence the following hundred improper fraction inches integers least common multiple lowest terms measure miles minuend mixed number months multiplicand Multiply notation NOTE number of terms obtain odd number OPERATION partial product payable payment pounds premium prime factors prime numbers principles Prob quantity quotient ratio Reduce remainder repetend result right hand figure rods sold square square miles standard subtract subtrahend TABLE tens third thousand weight whole number worth write yards
Popular passages
Page 247 - In any proportion, the product of the means equals the product of the extremes.
Page 422 - RULE. — From half the sum of the three sides, subtract each side separately; multiply the half -turn and the three remainders together; the square root of the product is the area.
Page 433 - A cylinder is conceived to be generated by the revolution of a rectangle about one of its sides as an axis.
Page 353 - Multiply each payment by its term of credit. and divide the sum of the products by the sum of the, payments; the quotient will be the average term of credit.
Page 385 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 95 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 169 - Cubic Measure 1728 cubic inches (cu. in.) =1 cubic foot (cu. ft.) 27 cubic feet = 1 cubic yard (cu. yd.) 128 cubic feet = 1 cord (cd...
Page 399 - RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient. EXAMPLES. 1. The extremes are 7 and 43, and the common difference is 4 ; what is the number of terms ? Ans.
Page 426 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Page 35 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.