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 11
... expressed in two or more denominations ; as , 4 bushels 3 pecks , 8 rods 4 yards 2 feet 3 inches . 11. An Integral Number , or Integer , is a number which ex- presses whole things ; as 5 , 12 dollars , 17 men . 12. A Fractional Number ...
... expressed in two or more denominations ; as , 4 bushels 3 pecks , 8 rods 4 yards 2 feet 3 inches . 11. An Integral Number , or Integer , is a number which ex- presses whole things ; as 5 , 12 dollars , 17 men . 12. A Fractional Number ...
Page 12
... expressed by numbers . Hence , 22. Arithmetic is the Science of numbers , and the Art of computation . NOTE . - When Arithmetic treats of operations on abstract numbers it is a sci- ence , and is then called Pure Arithmetic . When it ...
... expressed by numbers . Hence , 22. Arithmetic is the Science of numbers , and the Art of computation . NOTE . - When Arithmetic treats of operations on abstract numbers it is a sci- ence , and is then called Pure Arithmetic . When it ...
Page 13
... expressed by writing the dividend above , and the divisor below , a short horizontal line . Thus , 18 , read 18 divided by 6 . 36. The Sign of Equality is two short , parallel , horizontal lines , = . It indicates that the numbers , or ...
... expressed by writing the dividend above , and the divisor below , a short horizontal line . Thus , 18 , read 18 divided by 6 . 36. The Sign of Equality is two short , parallel , horizontal lines , = . It indicates that the numbers , or ...
Page 14
... expression is equi 12 x 12 x 12. The number expressing the sign of inv called the Index or Exponent . 41. The Sign of Evolution , ✓ , is a modification of th It indicates that some root of the number after it is to be e Thus , ✓25 ...
... expression is equi 12 x 12 x 12. The number expressing the sign of inv called the Index or Exponent . 41. The Sign of Evolution , ✓ , is a modification of th It indicates that some root of the number after it is to be e Thus , ✓25 ...
Page 15
... expressed by characters . 45. Two systems of notation are in general use the Roman and the Arabic . ` NOTE . — The Roman Notation is supposed to have been first used by the Romans : hence its name . The Arabic Notation was first ...
... expressed by characters . 45. Two systems of notation are in general use the Roman and the Arabic . ` NOTE . — The Roman Notation is supposed to have been first used by the Romans : hence its name . The Arabic Notation was first ...
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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.