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added addition algebraic amount arithmetic binomial called cents changed coefficient common contains cost denominator difference digit dimensions divided division divisor dollars earned elimination equal equation EXERCISES exponent expression factor feet Find the number Find the value fraction gives graph graphically greater Hence hour Illustrate inches indicated integer involving length less letter lowest means method miles minute Multiply negative obtained polynomial positive pounds PRINCIPLE Problems PROCESS proportion quadratic equations quotient radical ratio Reduce represented result Separate simple Simplify simultaneous SOLUTION Solve square root Substituting subtracted SUGGESTION Supplementing surd test each result third tion tons train twice units unknown number verify weight width Write written
Page 208 - Multiply the complete divisor by this term of the root, and subtract the product from the first remainder.
Page 37 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 68 - Th,e square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second, plus the square of the second.
Page 286 - The first and fourth terms of a proportion are called the extremes; and the second and third terms the means. Thus, in the • proportion a : b = с : d, a and d are the extremes, and b and с the means.
Page 287 - ... a mean proportional between two numbers is equal to the square root of their product.
Page 211 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 129 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 290 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 237 - An equation that, when simplified, contains the square of the unknown number, but no higher power, is called an equation of the second degree, or a quadratic equation.
Page 211 - Find the greatest square in the hfi-hand period and write its root for the first figure of the required root. Square this root, subtract the result from the left-hand period, and annex to the remainder the next period for a new dividend.