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added algebraic arithmetical assumed called cent changed CHAPTER coefficient common factor complete compound contain corresponding count cube decimal denominator difference digits Divide division divisor dollars equal equation example Exercise exponent expression Extract factors feet figures Find the number four fraction given gives greater harmonical Hence hour increased indicated integral interest length less letter logarithm means method miles an hour minutes Multiply negative NOTE obtained positive problem proportion quadratic quotient radical ratio Reduce remainder represented Resolve into factors result rule side Simplify Solve square root stands Substitute Subtract surd taken term third travels twice units unknown number write written yards
Page 306 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Page 257 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, dividing by bd, ad_ be bd~bd' ac or j- — -
Page 271 - It has been found by experiment that the distance a body falls from rest varies as the square of the time.
Page 55 - It becomes necessary in solving an equation to bring all the terms that contain the symbol for the unknown number to one side of the equation, and all the other terms to the other side. This is called transposing the terms. We will illustrate by examples : 1. Find the number for which x stands when...
Page 89 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.
Page 248 - If twelve times the units' digit be subtracted from the number, the order of the digits will be reversed. Find the number.
Page 257 - The equation ad = be gives a — -£, b = — ; so that an d с extreme may be found by dividing the product of the means by the other extreme ; and a mean may be found by dividing the product of the extremes by the other mean.
Page 78 - Since a trinomial is a perfect square when the middle term is twice the product of the square roots of the first and last terms...
Page 167 - In the first term, the exponent of a is the same as the exponent of the power to which the binomial is raised ; and it decreases by one in each succeeding term.
Page 259 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.