Bodmas

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BODMAS Full Form

In English, the full form of BODMAS is Brackets, Orders (also known as ‘of’, powers/indices or roots),  Division, Multiplication, Addition, and Subtraction.

It is an important rule based on which numerous questions are asked in various competitive exams and quantitative aptitude tests. Being associated with basic mathematical operators, this elemental rule helps maths students to solve operator-related simplification questions.

This rule is also used in higher-level machine computations along with programming languages such as Python, Java, C#, etc. In multiple examinations and instances, the questions based on the BODMAS rule are mentioned and asked in Hindi as well. Students claiming Hindi as their academic language can easily figure out the description and can meanwhile implement the rule efficiently.

Description of BODMAS

BODMAS conveys the order of operations by which any simplification question which contains a string of multiple operators can be resolved and the student (or machine in computing language) can obtain the correct result. When a mathematical expression glaringly has multiple operators and students get confused about where answering is supposed to begin, some principles like BODMAS are crafted to streamline their approach. 

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In higher levels, orders are also stated as indices, which makes the acronym BIDMAS. The basic difference BIDMAS creates is the letter I which means indices. Indices convey floating numbers, powers or exponential terms.

If we explore further, we can elaborate the acronym as follows:

B = Brackets; i.e., (), [], { }

O = Of/Orders; i.e., of, √x, x2 (of for junior classes and orders for higher classes)

D = Division; i.e.,  ∕, ꞉, ÷

M = Multiplication; i.e., * , ×, of

A = Addition; i.e., +

S = Subtraction; i.e., −

When these operators combinedly form an equation or say an ‘arithmetic expression’, we require the rule BODMAS to pursue the solution of that equation. 

The procedure of breaking the lengthy-expression is shown as follows: 

  1. The initial step is to release the numbers from inside the brackets by solving them within.
  2. The sequence of solving the brackets is { [ () ] }. 
  3. Thereafter, we perform our action towards ‘of/orders’ as mentioned above if they are present. 
  4. Further and lastly, we tend to solve the numerals having division operators followed by multiplication, addition and subtraction. 

To solve the questions, a substantial amount of time and practice is needed. Students are asked to start with the learning articles on embibe and examine their benchmarks.

Applications of BODMAS 

Traditionally, this rule is majorly taught in junior classes to solve maths equations but later on, it has been studied and taught thoroughly for various competitive exams such as SSC, RRB JE, UPSI, Railway, bank clerical, etc. In such examinations, questions based on simplifications are highly based on the BODMAS rule.

One segment of the quantitative aptitude of these examinations covers the simplification-based questions where the applications of BODMAS are evident. For instance, students expect 8 to 10 questions in almost every RRB examination. The students or aspirants study such a rule minutely to attain a decent proficiency in these questions and score competent marks in their respective examinations. 

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BODMAS Rule: Process and Examples

If we start discussing the basic level of solving any expression that contains the maths operators, we first consider the elemental process, which empowers us to understand the further levels of this rule and the questions based on this.

Let’s display an example: 9 − 2 + 5 (5−4) × [(5+2)+1] ÷ 2 of 4

Now if we look at this equation, we can proceed using the rule of BODMAS.

Step 1: “Brackets”  9 − 2 + 5 (1) × [(7)+1] ÷ 2 of 4

Step 2: “Brackets again”  9 − 2 + 5 × [8] ÷ 2 of 4

Step 3: “of”  9 − 2 + 5 × [8] ÷ 8

Step 4: “Division”  9 − 2 + 5 × 1

Step 5: “Multiplication”  9 − 2 + 5

Step 6: “Addition” 9 – 7

Step 7: “Subtraction” 9 – 7 = 2

The above mentioned steps can be looked at as a fundamental way of applying BODMAS.  In the era of science and programming, a legion of principles and rules are gathered to draft a computing process and this example is simply a minute feather in those computations.

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