Higher Arithmetic; Or, The Science and Application of Numbers: Combining the Analytic and Synthetic Modes of Instruction. Designed for Advanced Classes in Schools and Academies

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Ivison & Phinney, 1855 - Arithmetic - 422 pages
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Page 99 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Page 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 368 - 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 387 - It is evident, that the present worth of $ 2 annuity is 2 times as much as that of $ 1 ; the present worth of $ 3 will be 3 times as much, &c. Hence, to find the present worth of any annuity...
Page 49 - ... 9 times 1 are 9 9 times 2 are 18 9 times 3 are 27 9 times 4 are 36 9 times 5 are 45 9 times 6 are 54 9 times 7 are 63 9 times 8 are 72 9 times 9 are 81 9 times 10 are 90 9 times 11 are 99 9 times 12 are 108...
Page 216 - To reduce a decimal compound number to whole numbers of lower denominations. Multiply the given decimal by that number which it takes of the next lower denomination to make ONE of this higher, as in reduction, and point off the product, as in multiplication of decimal fractions.
Page 393 - 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 390 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Page 17 - The sign, + , which is read plus, indicates that the numbers between which it is placed are to be added ; thus, 6 + 4, means, that 4 is to be added to 6.
Page 108 - An improper fraction is one whose numerator is equal to, or greater than its denominator ; as, f , . A mixed number is a whole number and a fraction erpressed together; as, 4-}, 25-H-.

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