Elements of pure arithmetic, or Numerical operations and their primary relationships

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Longman, 1859 - Arithmetic - 73 pages
 

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Page 7 - A, from A to B, from B to C, and from C to...
Page 9 - The number to be subtracted is called the subtrahend ; the number from which it is taken, the minnend ; the resulting number is called the difference or remainder.
Page 5 - If equals be added to equals, the wholes are equal. If equals be taken from equals, the remainders are equal. If equals be added to unequals, the wholes are unequal. If equals be taken from unequals, the remainders are unequal. Things which are double the same, are equal to one another.
Page 59 - The reason for this rule is the same, in reality, as that for the preceding one. 37. |i'or, multiplying the numerator of the dividend by the denominator of the divisor multiplies the dividend by that number.
Page 55 - The result is obtained by multiplying the numerator of the multiplicand by the numerator of the multiplier and the denominator of the multiplicand by the denominator of the multiplier.
Page 31 - By division we ascertain, how often one number is contained in another. The number to be divided is called the dividend. The number to d.ivide by is called the divisor. The number of times the dividend contains the divisor is called the quotient.
Page 25 - ... numbers is the same as the sum of the products of the multiplier and two or more parts of the number (b) and (c).
Page 7 - B 2. allow 3. 20: add 1, 1, 2, 2, 3, 3, 4, 4 4. 3527: in the others the sum of the first two numbers is equal to the sum of the second two numbers, for example 5 + 2 = 6+1 5.
Page 64 - But 0 • q = 0 and not 6, so there cannot be any ordinary number to use as q. Hence, there is no number to represent the quotient of 6 -=- 0.
Page 48 - Her sister rode f of 11 miles, equal to *$- miles, or 7J miles. The result is obtained by multiplying the whole number by the numerator of the fraction and writing the product over the denominator. Thus : 11 x | = ¥ = 74. The word "of" between fractions is equivalent to the sign x . Such expressions are generally called Compound Fractions.

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