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a²b a²x² ab² ACAD ACADEMIC ALGEBRA added algebraic sum arithmetical means arithmetical progression ax² binomial bushels cents coefficient Commutative Law complete divisor contain cube root denominator difference digits divided dividend dollars equivalent established as follows EXAMPLES exponent expression factors Find the value fraction geometrical progression given equation Hence highest common divisor inequality integer less letters limit logarithm lowest common multiple mantissa miles an hour monomial multiplied negative number number of permutations polynomial positive integer positive number pounds PRINCIPLE PROCESS proportion quadratic quadratic equation quotient radical ratio Reduce remainder result second term SIMPLE EQUATIONS SOLUTION square root subtracted surd third Transposing trial divisor twice unknown numbers variable x²y x²y² xy²
Popular passages
Page 124 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
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 389 - The exponent of the power to which a fixed number, called the base, must be raised in order to produce a given number is called the logarithm of the given number.
Page 33 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Page 398 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.
Page 200 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Page 218 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 396 - The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the . divisor.
Page 53 - The square of the sum of two numbers is equal to the square \ (¿ of the first, plus twice the product of the first and second, plus the J square of the second.
Page 420 - To find the number of permutations of n different things taken r at a time.