text: # 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 [...]
  
  Ivison & Phinney, 1859 - 336 páginas
  
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  ### Contenido
  
   Reduction 174
   Alligation Medial 297
  
  ### Pasajes populares
  
  Página 48 - The dividend is the number to be divided. The divisor is the number by which we divide.
  Página 167 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
  Página 43 - If two ciphers are annexed, each figure is removed two places toward the left, and the value of the number is increased one hundred fold; and every additional cipher increases the value tenfold.
  Página 165 - 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...
  Página 73 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them.
  Página 325 - Ang. 560. 9. A merchant bought a hogshead of rum for \$28.35 ; how much water must be added to reduce the first cost to 35 cents per gallon ? Ans. 18 gal. 10. A and B traded with equal sums of money ; A gained a sum equal to -^ of his stock ; B lost \$200, and then he had ^ as much as A ; how much was the original stock of each ? Ans.
  Página 89 - 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.
  Página 150 - TABLE. 10 mills (m.) make 1 cent ct. 10 cents " 1 dime d. 10 dimes " 1 dollar \$. 10 dollars
  Página 195 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
  Página 64 - DIVISION. 65 and 18 = the quotient, 6, multiplied by 3. Hence, Dividing the divisor by any number, multiplies the quotient by the same number.
explanation: The provided text is an excerpt from the book "The Progressive Practical Arithmetic" by Ivison & Phinney, published in 1859. It includes a table of contents and some sample problems and solutions. The text contains several math questions and answers.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # 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 [...]
  
  Ivison & Phinney, 1859 - 336 páginas
  
  ### Comentarios de la gente -Escribir un comentario
  
  No encontramos ningún comentario en los lugares habituales.
  
  ### Contenido
  
   Reduction 174
   Alligation Medial 297
  
  ### Pasajes populares
  
  Página 48 - The dividend is the number to be divided. The divisor is the number by which we divide.
  Página 167 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
  Página 43 - If two ciphers are annexed, each figure is removed two places toward the left, and the value of the number is increased one hundred fold; and every additional cipher increases the value tenfold.
  Página 165 - 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...
  Página 73 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them.
  Página 325 - Ang. 560. 9. A merchant bought a hogshead of rum for \$28.35 ; how much water must be added to reduce the first cost to 35 cents per gallon ? Ans. 18 gal. 10. A and B traded with equal sums of money ; A gained a sum equal to -^ of his stock ; B lost \$200, and then he had ^ as much as A ; how much was the original stock of each ? Ans.
  Página 89 - 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.
  Página 150 - TABLE. 10 mills (m.) make 1 cent ct. 10 cents " 1 dime d. 10 dimes " 1 dollar \$. 10 dollars
  Página 195 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
  Página 64 - DIVISION. 65 and 18 = the quotient, 6, multiplied by 3. Hence, Dividing the divisor by any number, multiplies the quotient by the same number.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is an excerpt from the book "The Progressive Practical Arithmetic" by Ivison & Phinney, published in 1859. It includes a table of contents and some sample problems and solutions. The text contains several math questions and answers.
  
  Label: multiple-question-and-answer