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added algebraic antecedent arithmetical arrangement become called causes cent chance cleared of fractions coefficient combinations common denominator compound Consequently consider constitute containing continued corresponding denote digits Divide dividend divisible divisor dollars equal equation event EXAMPLES exponent expression Extracting factors favorable find the values formula four fourth geometrical Given gives greater half Hence increased inequality interest known less letters means method multiplied NEGATIVE PRODUCTS number of permutations observing obtain OPERATION persons placed polynomial positive POSITIVE PRODUCTS proceed progression proportion quadratic equation question quotient ratio receive reciprocal Reduce remainder repeated represent respective result RULE Rule under Art shows side solution solved sought square root substituted subtract successive Suppose symbol taken things third tions Transposing twice uniting unknown quantity values of x wish write
Σελίδα 54 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.
Σελίδα 71 - What number is that whose third part exceeds its fourth part by 16 ? Let x= the number required, Then its — part will be —x, and its — part —a;.
Σελίδα 183 - One hundred stones being placed on the ground, in a straight line, at the distance of a yard from each other, how far will a person travel who shall bring them one by one to a basket, which is placed one yard from the first Stone ? Ans.
Σελίδα 133 - Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 38 - ... the first term of the quotient ; multiply the• divisor by this term, and subtract the product from the dividend.
Σελίδα 44 - To reduce a mixed quantity to the form of a fraction. RULE. Multiply the entire part by the denominator of the fraction...
Σελίδα 136 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Σελίδα 10 - It denotes that the quantities between which it is placed, are to be multiplied together.