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a²b² ab² ab³ algebraic algebraic quantities arithmetical arithmetical means binomial cents Charles Clearing of fractions coefficient common difference Completing the square contains cost cube root denote the number divided dividend division equal number equal to 12 equation whose roots Exercises exponent expression Extracting the square factors Find the L. C. M. Find the square Find the sum following rule Formula given number gives greater greatest common divisor Hence we write indicated inequality last term least common multiple lemons Let x denote logarithm minuend minus monomial multiplied negative nth root number added number of apples number of terms perfect square polynomial progression proportion quotient ratio reduced remainder result second degree second member second term square root Substituting this value subtract subtrahend Transposing trinomial twice units unknown quantity VERIFICATION yards
Page 269 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Page 66 - 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.
Page 66 - ... the first term of the quotient ; multiply the divisor by this term, and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...
Page 256 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.
Page 269 - To indicate that the ratio of A to B is equal to the ratio of C to D...
Page 19 - Two men start 50 miles apart, and travel towards each other, the one at the rate of 4 miles an hour, and the other at the rate of 3 miles ; how far apart will they be at the end of 5 hours ? 20.
Page 255 - To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36.
Page 165 - The Square Root of a number is one of its two equal factors. Thus, the square root of 25 is 5, since 5x5 are 25.
Page 137 - Two travellers set out at the same time from London and York, whose distance apart is 150 miles; one of them goes 8 miles a day, and the other 7 ; in what time will they meet ? Ans, In 10 days. 10. At a certain election, 375 persons voted for two candidates, and the candidate chosen had a majority of 91; how many voted for each 1 Ans.