Notation, in simple word means any symbol which denotes a particular process of calculation. For instance, if we want to add any 2 numbers like 5 and 6, then we will have to use the notation for addition, which is +. Thus, notation for addition is " + ".

The aboveÂ picture shows the basic 4 mathematical notations on which the whole concept of mathematics depends.

Notation Definition

The formal definition of notation is defined as follows:

Notation is a symbol used for representing numbers, equations, elements or any mathematical sign or character, which has a particular meaning that conveys the procedure for solving any problem.

For example, if we want to solve a problem of adding 3 and 4, we can simply put the notation of addition, like 3 + 4 = 7, where '+' conveys the meaning that addition has to be performed. So, + symbol is used for the procedure of addition.Â Hence, in short, Notation is a symbol used for the procedure to solve any problem.

The following is a list of some common and basic notations used in mathematics:

Logical Notation

Logical notations are those notations, where we have to decide or take a decision between true or false or both. As the name says, the concept of logic means applying a decision whether it is true or false.

The following is the list of some logical notations which are very useful for taking logical decisions:

 Notation Meaning of the symbol Example . Symbol used for "and" a.b ^ Another symbol used for â€œ and â€ a  ^  b & Another symbol used for â€œ and â€ a&b + Symbol used for â€œ or â€ a+b V Another symbol used for â€œ or â€ a V b l Another symbol used for â€œ or â€ a l b x' Symbol for not - negation a' Â¬ Another symbol for not negation Â¬ a ! Another symbol for not negation ! a âŠ• Symbol for exclusive x âŠ• y ~ Symbol for negation ~ x

Similarly, we can also convert the basic set theory notations into the logical notations as shown below:

Hence, logical notations can also be solved by using the notations of sets, to simply any logic. If we denote some statements with the letters as p, q, r or a, b, c etc, then we can make a combined statement by using the above listed logical notations.

Exponent Notation

Notation which is specifically used to represent exponents is known as exponent notation. Exponent notation can be understood in a better way by looking at the following diagram:

Thus, we found that to use any exponent notation, we should be very clear about its base and its exponent. As shown in the above figure, 3 is the exponent of 2, which is the base and exponent is always written as the power of the base. This means 2 is multiplied 3 times, as 2 x 2 x 2 = 8. Some of the other examples of exponent notations are as follows:

Because exponents are used as a power to its base, exponent notations are also termed as scientific notations, where, a very large or huge number is represented as some multiples of 10.

Only multiplies of 10, is allowed in case of scientific notations.

For example, look at the following number:

This number is very huge. So, to make it short, we will have to use a notation, which is the exponent or scientific notation. To convert this number, the first step would be to count the number of decimal places up to which we want its conversion. In the above example, we have converted this number into scientific notation up to 7 decimal places, by just counting from right to left the number of 7 places and then putting a decimal point after 7 places.

After putting a decimal, we will have to raise the power of 10 up to which we have counted, in this case it was 7.

Some of the other examples of exponent notations or scientific notations are as follows: