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added algebraic amount Applying arithmetical becomes bought called cents changed common compound interest contains cost decimal denominator derived difference distance Divide dividend division divisor dollars equal equation examples Exercises exponent expressed factors feet figures Find Find the value five formula four fourth fraction gain geometrical given given number gives greater greatest half Hence ILLUSTRATIVE EXAMPLES inches increased integral kind length less logarithm mantissa means method miles an hour monomial Multiply negative NOTE obtained perfect piece polynomial positive pounds Problems progression proportion quantity quotient ratio reduced remainder represent result rule Separate similar solution solved square root substituting subtract taken third tion twice units walk weight whole worth writing written yards
Σελίδα 78 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 86 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Σελίδα 239 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 187 - A detachment of an army was marching in regular column, with 5 men more in depth than in front ; but upon the enemy coming in sight, the front was increased by 845 men ; and by this movement the detachment was drawn up in 5 lines. Required the number of men.
Σελίδα 149 - SPECIFIC GRAVITY. THE Specific Gravity of a body, is the ratio of its weight to the weight of an equal volume of some other body assumed as a standard.
Σελίδα 234 - With reference to any base, the logarithm of a number is the exponent of the power to which the base must be raised to produce the given number.
Σελίδα 157 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Σελίδα 295 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.