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, 1860 - Arithmetic - 422 pages
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Page 108 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 93 - 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 365 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 43 - ... 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...
Page 330 - X 5'" = 20"'". Hence the RULE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier...
Page 255 - 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...
Page 60 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 141 - Weight is used in weighing gold, silver, jewels, liquors, &c., and is generally adopted in philosophical experiments. 24 grains (gr.) make 1 pennyweight, marked pwt. 20 pennyweights " 1 ounce " oz. 12 ounces " 1 pound,
Page 102 - 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 expressed together; as, 4f, 25-ht.
Page 140 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, . 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_

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