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 24
... excess of 9's . 67. This method depends upon the following properties of the number 9 : * I. If a number be divided ... excess of 9's in the sum must be equal to the excess of 9's in the sum of all the digits in the numbers . 1. Add ...
... excess of 9's . 67. This method depends upon the following properties of the number 9 : * I. If a number be divided ... excess of 9's in the sum must be equal to the excess of 9's in the sum of all the digits in the numbers . 1. Add ...
Page 25
... excess of 9's : - Commencing at any figure , add the digits of the given numbers in any order , dropping 9 as often as the amount exceeds 9 . the final excess be equal to the excess of 9's in the sum , the work is right . NOTE . This ...
... excess of 9's : - Commencing at any figure , add the digits of the given numbers in any order , dropping 9 as often as the amount exceeds 9 . the final excess be equal to the excess of 9's in the sum , the work is right . NOTE . This ...
Page 31
... excess of 9's in the remainder and subtrahend together , and it will be equal to the excess of 9's in the minuend . EXAMPLES FOR PRACTICE . ( 1. ) ( 2. ) ( 3. ) ( 4. ) From 47965 103767 57610218 89764321 Take 26714 98731 8306429 ...
... excess of 9's in the remainder and subtrahend together , and it will be equal to the excess of 9's in the minuend . EXAMPLES FOR PRACTICE . ( 1. ) ( 2. ) ( 3. ) ( 4. ) From 47965 103767 57610218 89764321 Take 26714 98731 8306429 ...
Page 37
... excess of 9's . 85. The illustration of this method depends upon the following principles : I. If the excess of 9's be subtracted from a number , the re- mainder will be a number having no excess of 9's . II . If a number having no ...
... excess of 9's . 85. The illustration of this method depends upon the following principles : I. If the excess of 9's be subtracted from a number , the re- mainder will be a number having no excess of 9's . II . If a number having no ...
Page 49
... excess of 9's . 111. Subtract the remainder , if any , from the dividend , and find the excess of 9's in the result . Multiply the excess of 9's in the divisor by the excess of 9's in the quotient , and find the excess of 9's in the ...
... excess of 9's . 111. Subtract the remainder , if any , from the dividend , and find the excess of 9's in the result . Multiply the excess of 9's in the divisor by the excess of 9's in the quotient , and find the excess of 9's in the ...
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Common terms and phrases
acres amount ANALYSIS annex bank barrel bill bought bushels ciphers column commission common denominator common fraction compound interest compound number contain continued fraction cost cube root cubic currency decimal places discount Divide dividend division dollars DRY MEASURE equal EXAMPLES FOR PRACTICE excess of 9's exchange feet flour following RULE gain gallons geometrical progression given number gold greatest common divisor Hence the following hundred improper fraction inches insured integers invested least common multiple longitude lowest terms measure miles minuend mixed number months multiplicand Multiply NOTE number of terms obtain OPERATION payable payment pounds premium prime factors principal proceeds purchase quantity quotient rate per cent ratio Reduce remainder repetend result right hand figure rods sell sold square standard subtract subtrahend TABLE trial divisor units weight whole number worth write yards
Popular passages
Page 69 - Divide the less number by the remainder, the last divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor sought.
Page 418 - 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 237 - In any proportion, the product of the means equals the product of the extremes.
Page 343 - 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 304 - 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 415 - ... 2. The square of the base, or of the perpendicular, of a right-angled triangle is equal to the square of the hypothenuse diminished by the square of the other side.
Page 135 - MONEY. 10 mills = 1 cent. 10 cents = 1 dime. 10 dimes = 1 dollar. 10 dollars = 1 eagle.
Page 331 - That the value of foreign coin as expressed in the money of account of the United States shall be that of the pure metal of such coin of standard value...
Page 159 - A pile of wood 8 feet long, 4 feet wide, and 4 feet high, contains 1 cord ; and n cord foot is 1 foot in length of such a pile.
Page 159 - 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...