The National Arithmetic, on the Inductive System: Combining the Analytic and Synthetic Methods, in which the Principles of Arithmetic are Explained in a Perspicuous and Familiar Manner; Containing Also Practical Systems of Mensuration, Guaging, Geometry, and Book-keeping; Forming a Complete Mercantile Arithmetic. Designed for Schools and Academies |
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Page 122
... repetends ; and , if the same figure only repeats , it is called a single repetend ; as .11111 or .5555 , and is express- ed by writing the círculating figure with a point over it ; thus , .11111 , and is denoted by .i , and .5555 by .5 ...
... repetends ; and , if the same figure only repeats , it is called a single repetend ; as .11111 or .5555 , and is express- ed by writing the círculating figure with a point over it ; thus , .11111 , and is denoted by .i , and .5555 by .5 ...
Page 123
... repetends end at the same place ; as .631 and .465 . 8. Similar and conterminous repetends begin and end at the same place ; as .1728 and .4987 . REDUCTION OF CIRCULATING DECIMALS . CASE I. To reduce a simple repetend to its equivalent ...
... repetends end at the same place ; as .631 and .465 . 8. Similar and conterminous repetends begin and end at the same place ; as .1728 and .4987 . REDUCTION OF CIRCULATING DECIMALS . CASE I. To reduce a simple repetend to its equivalent ...
Page 124
... repetend to its equivalent vulgar fraction , 1. What vulgar fraction is equivalent to .138 ? OPERATION . .138 = 1 + 580117 + 8 = 128 = 3 Ans . As this is a mixed circulate , we divide it into its finite and circulating parts ; thus ...
... repetend to its equivalent vulgar fraction , 1. What vulgar fraction is equivalent to .138 ? OPERATION . .138 = 1 + 580117 + 8 = 128 = 3 Ans . As this is a mixed circulate , we divide it into its finite and circulating parts ; thus ...
Page 125
... repetend will consist of 6 places , and will begin just so far from unity , as is the farthest among the dissim- ilar repetends , which , in the present example , is the third place . Hence the following RULE . Change the given repetends ...
... repetend will consist of 6 places , and will begin just so far from unity , as is the farthest among the dissim- ilar repetends , which , in the present example , is the third place . Hence the following RULE . Change the given repetends ...
Page 126
... repetend ; which will begin after so many places of figures , as there are 10's , 2's or 5's used in dividing . NOTE . In dividing 1.0000 , & c . by any prime number whatever except 2 or 5 , the quotient will begin to repeat as soon as ...
... repetend ; which will begin after so many places of figures , as there are 10's , 2's or 5's used in dividing . NOTE . In dividing 1.0000 , & c . by any prime number whatever except 2 or 5 , the quotient will begin to repeat as soon as ...
Common terms and phrases
acres amount annuity answer barrel bill Boston Bought breadth broadcloth bushels cash casks ciphers circle circumference composition compound interest contain cords cube root cubic Daniel Fox decimal diameter Divide dividend divisor dominical letter Ducat equal EXAMPLES farthings federal money feet long figure flour following RULE gain gallons given number Greenleaf Hampton Falls Haverhill Hence the following hogshead hundred improper fraction inches indorsement JF Jan least common multiple Leger length merchant miles mixed number months Multiply Murray's National Arithmetic NOTE number of terms OPERATION ounces payment pence pound cost present worth principal pupil quantity question quotient ratio received Reduce remainder repetend rix dollars rods Samuel SECTION Septillions shillings side sold square root subtract sugar Sundries thousand thousandths tons Undecillions United vulgar fraction weight whole numbers wine yards of cloth
Popular passages
Page 261 - ... above the upper deck ; the breadth thereof at the broadest part above the main wales, half of which breadth shall be accounted the depth of such vessel, and...
Page 27 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 267 - As the distance between the body to be raised or balanced, and the fulcrum or prop, is to the distance between the prop and the point where the power is applied ; so is the power to the weight which it will balance.
Page 180 - Is when the several shares of stock are continued in trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.
Page 225 - ... dollars. How many days did he work, and how many days was he idle ? Ans.
Page 248 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Page 36 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 267 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 7 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...