Algebra Symbols (Basic Algebraic Symbols in Maths) with Example

Algebra is a subdomain of mathematics that helps us to transfer data in mathematical form. Using different operators and algebra symbols we can convert information into the form of equations. It helps to solve daily life problems using mathematics. With the help of variables and the interrelation between them, we can find the values of different quantities. Variables are often represented as alphabets. They take the value as per the constraints on them. Constants are generally numbers that do not change values over time. Algebra is further classified as Pre-algebra, elementary algebra, abstract algebra, and universal algebra.

Algebra Symbols

Algebra symbols denote the operations they perform. They are applied to the data to perform certain operations. Every symbol has its meaning and function. The priority of operation can be checked using an algebra signs rules chart.

List Of Algebra Symbols

• Arithmetic symbols

Arithmetic symbols are '+', '-', '/', and '*'. Each of them performs different applications. They are the expression symbols and help us to write the expression.

'+' is used to add one or more quantities

'-' is used for the subtraction of quantities

'*' is used to multiply the quantity

'/' is used to divide the quantities

• x

An unknown variable is denoted using the variable "x".

• Symbols used for comparing quantities

• Use of brackets

Bracket when used in the expression helps us to identify the priority of the operation. Other than that it serves many different purposes.

• x!

A factorial is represented using an exclamation mark. Here, x takes the value of any number. The factorial of x means the multiplication of elements starting with x and decreasing by 1 till you are only remaining with the number 1. This symbol is used in permutations and combinations.

For example, 3!=3✕2✕1

• |x|

This gives the absolute value of any number. It means no matter whether the number is negative or positive when you take the absolute value of it then you get a positive integer.

for example |-3|=|3|=3

• ∆

The symbol is called a delta. It gives the difference between two quantities. It is used to denote the change.

• Intervals

• Functions

• Matrix

Order Of Operation

To find the order of operation you can make use of the rule PEDMAS.

P is for parenthesis. Any operation inside the parenthesis has the first preference.

E is for exponents. Any exponential operation gets second preference.

D is for division and M is for multiplication. After exponents performing division or multiplication is necessary.

A is for addition and S is for subtraction. This operation gets the last preference.

Examples

1. Write all elements of the given interval [3, 9)

This interval includes all the elements from 3 to 9. As 3 has a square bracket it is included in the interval. As 9 has an open bracket, it is excluded from the interval.

So the elements are 3,4,5,6,7,8

2. Find the value of {(34 + 73) - 9*8}

To solve the question we will follow PEDMAS

{(34 + 73) - 9*8} = {107 – 72}

= 35

3. If y = 3x + 7. Find the first 3 elements in the domain and range if x and y are positive integers. And x is not equal to zero.

The values of x from the domain. And the output forms the range.

As x is a positive integer its value starts from 1.

For x = 1

y = 3(1)+7

= 10

For x = 2

y = 3(2) + 7

= 13

For x = 3

y = 3(3) + 7

= 16

Domain = {1, 2, 3}

Range = {10, 13, 16}

4. Find the value is 5!

The value of a given factorial is

5! = 5 × 4 × 3 × 2 × 1

= 120

5. Check if 62 and (12 × 3) are equal or not.

62 = 36

12 × 3 = 36

So, we can write

62 =12 × 3