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added Algebra arithmetical binomial called cents changed coefficient common complete condition consists contain cost cube root denominator difference diminished Divide dividend division divisor equals equation evident EXAMPLES exponent expression extracting factors feet figures Find the sum Find the value formula four fourth fraction Given gives greater hence hour increased indicate integral last term length less letters logarithm lowest means method miles minus Multiply negative obtain OPERATION period permutations persons positive principles problem progression proportion Prove pupils quadratic quotient radical raising ratio received Reduce remainder represent required the number result rule second term simple SOLUTION Solve square root substituting subtract suppose symbol taken tens term THEOREM things third transposing travels trial divisor twice units unknown quantity whence write yards
Side 172 - 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.
Side 218 - In a parcel which contains 24 coins of silver and copper, each silver coin is worth as many cents as there are copper coins, and each copper coin is worth as many cents as there are silver coins ; and the whole is worth 2 dollars and 16 cents.
Side 172 - Multiply the complete divisor by the second figure of the root and subtract the product from the dividend.
Side 27 - Addition is the process of finding the sum of two or more numbers.
Side 119 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Side 315 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 26 - If equal quantities be divided by the same quantity, or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be changed. 6. If a quantity be both multiplied and divided by another, the value of the former will not be changed. 7. Quantities which are equal to the same quantity are equal to each other.
Side 228 - Find two numbers such that their difference added to the difference of their squares shall be 150, and their sum added to the sum of their squares shall be 330. 4. Find two numbers whose sum is equal to their product and also to the difference of their squares.