The Progressive Practical Arithmetic: Containing the Theory of Numbers, in Connection with Concise Analytic and Synthetic Methods of Solution, and Designed as a Complete Text-book on this Science : for Common Schools and Academies |
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Page 280
... proportional between the other two . 373. In every proportion the product of the extremes is equal to the product of the means . Thus , in the proportion 3:56:10 we have 3 X 10 5 X 6 . 374. Four numbers that are proportional in the ...
... proportional between the other two . 373. In every proportion the product of the extremes is equal to the product of the means . Thus , in the proportion 3:56:10 we have 3 X 10 5 X 6 . 374. Four numbers that are proportional in the ...
Page 281
... proportional in the direct order are proportional by inversion , and also by alternation , or by inverting the means . Thus , the proportion 2 : 3 :: 6 : 9 , by inversion becomes 3 : 2 :: 9 : 6 , and by alternation 2 : 6 :: 3 : 9 . 375 ...
... proportional in the direct order are proportional by inversion , and also by alternation , or by inverting the means . Thus , the proportion 2 : 3 :: 6 : 9 , by inversion becomes 3 : 2 :: 9 : 6 , and by alternation 2 : 6 :: 3 : 9 . 375 ...
Page 306
... proportional quantities to be taken of several ingredients , whose prices or qualities are known , to form a mixture of a required price or quality . CASE I. 403. To find the proportional quantity to be used of each ingredient , when ...
... proportional quantities to be taken of several ingredients , whose prices or qualities are known , to form a mixture of a required price or quality . CASE I. 403. To find the proportional quantity to be used of each ingredient , when ...
Page 307
... proportional numbers in integers , we may reduce these fractions to a common denominator , and use their numerators , since fractions having a common denominator are to each other as their numerators . ( 365 ) thus , and are equal to ...
... proportional numbers in integers , we may reduce these fractions to a common denominator , and use their numerators , since fractions having a common denominator are to each other as their numerators . ( 365 ) thus , and are equal to ...
Page 308
... proportional numbers are fractional , they may be reduced to integers , and if two or more stand in the same hori- zontal line , they must be added ; the final results will be the pro- portional quantities required . NOTES . 1. If the ...
... proportional numbers are fractional , they may be reduced to integers , and if two or more stand in the same hori- zontal line , they must be added ; the final results will be the pro- portional quantities required . NOTES . 1. If the ...
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The Progressive Practical Arithmetic, Containing The Theory Of Numbers, In ... Horatio Nelson Robinson No preview available - 2019 |
Common terms and phrases
acres amount annex barrels of flour bought bushels bushels of corn bushels of wheat cents a pound ciphers column common fraction compound numbers contained cost cube discount Divide dividend division dollars dry measure equal exact divisor EXAMPLES FOR PRACTICE feet figure following RULE gain gallons Give analysis Give explanation given number greatest common divisor Hence the following Hence the RULE hogshead hundred improper fraction inches integers interest least common denominator least common multiple longitude merchant miles minuend mixed number months multiplicand Multiply NOTE number of terms obtain OPERATION paid payment prime factors proper fraction quotient rate per cent ratio receive Reduce remainder rods sell simple numbers sold subtract subtrahend tens third thousand trial divisor Troy weight units weight whole number worth write yards of cloth
Popular passages
Page 54 - The dividend is the number to be divided. The divisor is the number by which we divide.
Page 162 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...
Page 304 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Page 161 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt.) 4 quarts = 1 gallon (gal.) 31| gallons = 1 barrel (bbl...
Page 81 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Numbers prime to each other are such as have no common divisor. NOTE. A common divisor is sometimes called a Common Measure ; and the greatest common divisor, the Greatest Common Measure.
Page 266 - Three numbers may be in proportion when the first is to the second as the second is to the third.
Page 97 - 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 242 - TABLE, Showing the amount of $1, or £1, at 3, 4, 5, 6, and 7 per cent , compound interest, for any number of years, from 1 to 20.
Page 256 - 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 189 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...