Algebra i

Algebra i Algebra is the branch of mathematics which deals with numbers, variables and their operations and relations. Numbers are categories in different types, such as 1.The natural numbers are represented by N; Counting numbers are called natural numbers.Example - 1, 2, 3, 4, 5 2.Real numbers arerepresented by R; a number which can place on a number line is called real numbers. 3. Integers are denoted by Z, both positive and negative numbers, includes zero are known as integers.Example - Positive integers : 1,2,3,4 and Negative integers : -1,-2,-3, 4Rationalnumbers are denoted by Q, numbers which can be represented in the form of p/q where q is not equal to zero. Example - 1, 1/3, 0.4 and -6/7 etc. 5Variables or literals- representations of numbers by symbols (non-numerical). Whose value can change? Example - a, b, c etc. Relations of numbers- different symbols like =, , , etc. are used to compare mathematical expressions and numbers. Example 163 915 Example 1: Solve: - 5+ [2 (4 2)] 2 Solution: In the equation, the rule of PEMDAS is used - 5 + [2 (4 2)] 2 = 5+ [2(2)] 2 = 5 + [4]2 = 5 + 16 =21 Example 2: Solve: - 6 + (4 + 3)3. Solution: - In the equation, the rule of PEMDAS is used. The steps are shown below:- 6 + (4 + 3)3 = 6 + (7)3 = 6 + 343 =349