### Contents

 Highest Common Factors Lowest Common Multiples 98 Fractions 106 380 177 Problems involving Simple Equations 188 Inequalities 203
 Progressions 345 Permutations and Combinations 362 0 373 Copyright

### Popular passages

Page 202 - The first term of the root is the square root of the first term of the trinomial; ie, a=^/o2.
Page 123 - The product of two or more fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.
Page 367 - 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 357 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Page 34 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (8aft — 12ac) -*- 4a = 2ft — 3c.
Page 37 - 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 328 - The volume of a sphere varies as the cube of the radius, and the surface area of a, sphere as the square of the radius.
Page 261 - Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the sim259.
Page 331 - It will be observed that the coefficient of d in any term is one less than the number of the term. Hence, in the nth, or last term, the coefficient of d will be n — 1.
Page 367 - Whence x + y is the logarithm of mn. q. BD 10. Prop. 2. — Tlie logarithm of the quotient of two numbers is the logarithm, of the dividend minus the logarithm of the divisor.