Arithmetic, Both in the Theory and Practice: Made Plain and Easy in All the Common and Useful Rules ... With the Addition of Several Algebraical Questions

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A. Donaldson and J. Reid, 1764 - Arithmetic - 416 pages
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Page 11 - 3765 is a decimal consisting of four places; consequently, 1 with four ciphers annexed ( 10000) is its proper denominator. Any decimal may be expressed in the form of a common fraction by writing under it its proper denominator.
Page 125 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 407 - If you take away 5 from my years, and divide the remainder by 8, the quotient will be $ of your age; but if you add 2 to your age, and multiply the whole by 3, and then subtract 7 from the product, you will have the number of the years of my age. What was the age of the father and son ? Ans., 53 and 18.
Page 134 - ... 1. The first term; 2. The last term; 3. The number of terms; 4. The common difference; 5. The sum of all the terms.
Page 182 - Add n competent number of ciphers to the numerator, and divide by the denominator, the quotient is the decimal fraction 'required. EXAMPLE I. Let it, be required to find the decimal fraction of .. . / S
Page 416 - I add the fquare of my crowns to the fquare of your bufhels, the fum will be 424 : How many bufhels did B fell, and how many crowns did A receive ? 99. To find two numbers, the firft of which...
Page 37 - ... a remainder, it must be multiplied by a number, which, in the 3rd denomination, is equal to an integer in the 2nd — the quotient shall be of the 3rd denomination ; and if there be still a remainder, it must be multiplied by a number, which, in the 4th denomination, is equal to an integer in the 3rd ; and divided as before, the quotient will be of the 4th denomination, and so on till tha remainder cannot be reduced to any lower terms : thus you have the square or rectangle ACI L.
Page 413 - ... was over, they had taken between them 42 crowns : How many ells did each of them fell for a crown ? 80.
Page 138 - A man is to receive 360 at 12 several payments, each to exceed the former by 4, and is willing to bestow the first payment on any one that can tell him what it is : what will that person have for his pains ? Ans.
Page 361 - Note The folid contents of fimilar figures are in proportion to each other, as the cubes of their fimilar fides or diameters. 3. If a bullet 6 inches diameter weigh 32 ft,, What will a bullet of the fame metal weigh, whofe diameter is 3 inches ? 6x6x6=216.

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