The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile Colleges : Forming a Complete Treatise on Arithmetical Science, and Its Commercial and Business Applications |
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Page 23
... contain several orders of units , the method of addition is based upon the following principles : I. If the like orders of units be added separately , the sum of all the results must be equal to the entire sum of the given num- bers ...
... contain several orders of units , the method of addition is based upon the following principles : I. If the like orders of units be added separately , the sum of all the results must be equal to the entire sum of the given num- bers ...
Page 30
... contain more than one figure each , the method of subtraction depends upon the following prin- ciples : I. If the units of each order in the subtrahend be taken sepa- rately from the units of like order in the minuend , the sum of the ...
... contain more than one figure each , the method of subtraction depends upon the following prin- ciples : I. If the units of each order in the subtrahend be taken sepa- rately from the units of like order in the minuend , the sum of the ...
Page 31
... contains 146758 inhabitants , which is 3976 more than it contained last year ; how many did it contain last year ? Ans . 142,782 . 10. The first newspaper published in America was issued at Boston in 1704 ; how long was that before the ...
... contains 146758 inhabitants , which is 3976 more than it contained last year ; how many did it contain last year ? Ans . 142,782 . 10. The first newspaper published in America was issued at Boston in 1704 ; how long was that before the ...
Page 34
... contains 20000 square miles ; by how much does it exceed the area of Lake Erie and Lake Ontario , the former containing 11000 square miles , and the latter 7000 ? Ans . 2000 square miles . 10. In the year 1852 , there arrived in the ...
... contains 20000 square miles ; by how much does it exceed the area of Lake Erie and Lake Ontario , the former containing 11000 square miles , and the latter 7000 ? Ans . 2000 square miles . 10. In the year 1852 , there arrived in the ...
Page 38
... containing 47 yards , at 7 dollars a yard ; how much did he pay for the whole ? Ans . $ 11,844 . 18. The railroads in ... contain an area of 2988892 square miles , and in 1850 they contained 8 inhabitants to each square mile ; what was ...
... containing 47 yards , at 7 dollars a yard ; how much did he pay for the whole ? Ans . $ 11,844 . 18. The railroads in ... contain an area of 2988892 square miles , and in 1850 they contained 8 inhabitants to each square mile ; what was ...
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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.