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added algebraic arithmetical arranged binomial called cents changed CHAPTER coefficient common complete divisor compound containing convergent cube decimal denominator digits divided dividend division divisor dollars equal equation Evidently EXAMPLE Exercise exponent expression Extract factors fifth figures Find the number four fourth fraction given gives greater Hence hold increased indicated integral interest less letters limit logarithm mantissa means method miles minus Multiply negative Note operations permutations polynomial positive pounds Process proportion quadratic quotient ratio Reduce remainder represent result second term selected Separate simple Simplify Solution Solve square root Substitute Subtract surd taken term things third Transpose travels trial divisor units unknown number worth Write zero
Página 183 - To multiply a fraction by a fraction, multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.
Página 121 - To the product of the numerical coefficients, annex each literal factor with an exponent equal to the sum of the exponents of that letter in both factors.
Página 73 - 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.
Página 77 - The sum of any two equal odd powers of two numbers is divisible by the sum of the numbers.
Página 391 - A ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same quantity to both its terms.
Página 214 - B sets out from the same place and travels in the same direction, at the rate of 5 miles in 3 hours.
Página 151 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.