FUNDAMENTAL CONCEPTS OF ALGEBRAIC EXPRESSION –
As we all aware of the basic terms and concepts of algebra, now we will learn about some advanced form of Algebra.
Literals & Constants –
A symbol, such as a, b, c, d, x, y, and z are representing an unspecified number or member of a class of objects is called a literal or a variable.
A symbol that has a fixed value is known as a constant. Numbers such as 3, 52, 0, 5/9, 4.7, 28.231, - 12, and – 2.89 have a specific value, so they are constant.
Operation on Literals –
Since literals represent numbers, we can add, subtract, multiply, & divide literals and numbers.
Addition-1) a + b is to be considered as the sum where a & b are literals.
2) a + a = 2a, a + a + a = 3a, a + a + a + a = 4a, etc.
3) b + 0 = b, 0 + b = b
Subtraction– 1) a – b is to be considered as the subtract where a & b are literals.
2) b – b = 0 or a – a = 0
3) 4 subtracted from a or b are a – 4 and b – 4.
Multiplication– 1) ab means a X b or ‘a’ multiplied by ‘b’
2) 4b means 4 X b or 4 multiplied with ‘b’
3) a.1 = 1.a = a
a
Division- 1) a ÷ b or --------- means ‘a’ divided by ‘b’
b
5
2) 5 ÷ b or --------- means 5 divided by ‘b’
b
a
3) a ÷ 8 or --------- means ‘a’ divided by 8
8
a b
4) -------- = 1 or --------- = 1
a b
a b
5) --------- = a or --------- = b
1 1