The Progressive Higher Arithmetic, for Schools, Academies, and Mercantile Colleges: Combining the Analytic and Synthetic Methods ; and Forming a Complete Treatise on Arithmetical Science, and Its Commercial and Business Applications |
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Page iii
... rule . 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 ...
... rule . 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 ...
Page 20
... following rules : RULE FOR NOTATION . I. Beginning at the left hand , write the figures belonging to the highest period . II . Write the hundreds , tens , and units of each successive period in their order , placing a cipher wherever an ...
... following rules : RULE FOR NOTATION . I. Beginning at the left hand , write the figures belonging to the highest period . II . Write the hundreds , tens , and units of each successive period in their order , placing a cipher wherever an ...
Page 23
... following RULE . I. Write the numbers to be added so that all the units of the same order shall stand in the same column ; that is , units under units , tens under tens , etc. II . Commencing at units , add each column separately , and ...
... following RULE . I. Write the numbers to be added so that all the units of the same order shall stand in the same column ; that is , units under units , tens under tens , etc. II . Commencing at units , add each column separately , and ...
Page 30
... following prin- ciples : I. If the units of each order in the subtrahend be taken sepa- rately from the units of ... following RULE . I. Write the less number under the greater , placing units of the same order under each other . II ...
... following prin- ciples : I. If the units of each order in the subtrahend be taken sepa- rately from the units of ... following RULE . I. Write the less number under the greater , placing units of the same order under each other . II ...
Page 33
... 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 amount having ...
... 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 amount having ...
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Common terms and phrases
acres amount ANALYSIS annex Arithmetic barrels bought bushels ciphers column commission common fraction compound interest compound number contain continued fraction cost cube root cubic decimal places diameter discount Divide dividend divisible dollars equal exact divisors EXAMPLES FOR PRACTICE excess of 9's exchange feet following RULE gain gallons given number greatest common divisor Hence the following Hence the RULE hundred improper fraction inches invested least common denominator least common multiple less lowest terms measure miles minuend mixed number months multiplicand Multiply NOTE number of terms obtain odd number OPERATION payable payment pounds premium prime factors prime numbers principles Prob proceeds quantity quotient rate per cent ratio received Reduce remainder repetend result right hand figure rods sold square subtract subtrahend tens third thousand units whole number worth write yards
Popular passages
Page 193 - TABLE. 4 farthings (far. or qr.) make 1 penny d. 12 pence " 1 shilling, s. 20 shillings " 1 pound or sovereign . . £ or sov.
Page 312 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.
Page 78 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Thu4, 18 is the greatest, common divisor...
Page 351 - 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 380 - The Square Root of a number is one of the two equal factors that produce the number ; thus the square root of 49 is 7, for 7 X 7 = 49.
Page 386 - The cube of a number composed of tens and units is equal to the cube of the tens, plus three times the square of the tens multiplied by the units, plus three times the tens multiplied by the square of the units, plus the cube of the units.
Page 171 - 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 94 - To reduce fractions to their lowest terms. A fraction is in its lowest terms when its numerator and denominator are prime to each other; that is, when both terms have no common divisor. 1. Reduce the fraction -|| to its lowest terms.
Page 191 - TABLE. 10 mills, (m.) make 1 cent, ct. 10 cents " 1 dime, d. 10 dimes " 1 dollar, $. 10 dollars
Page 173 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...