When we speak of a certain quantity of money, it may either be a gain or a loss, a receipt or a payment. Gains and loss are so related that if we gain as much as we lose the effect on our stock is nothing. Hence a quantity of money forms a gain is said to be opposite in character to a quantity which forms a loss.
Following are the types of numbers. Natural numbers, Whole numbers, Prime numbers, Composite numbers, Integers, Rational Numbers, Irrational number, Real Number etc
In this chapter we shall cover advanced topics under complex numbers.
A combination is a grouping or selection of all or part of a number of things without reference to the arrangement of the things selected.
A permutation is an arrangement of all or part of a number of things in a definite order. For example, the permutations of the three letters a, b, c taken all at a time are abc, acb, bac, bca, cba, cab.
a and M be two real numbers such that a>0 and not equal to 1and M > 0. A real number x is called “the logarithm of M to the base a” if a to the power of x is equal to M.
An equation of the form ax^2 + bx +c = 0 (a being nonzero) in which 2 is the highest power of x and a,b,c are any three numbers free from x is called an equation of second degree or a quadratic equation in x.
Real numbers are not sufficient for solving all algebraic problems. Hence, a new set of numbers which are different from real numbers were invented and termed as complex numbers or imaginary numbers.