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Home Articles

Tips to Solve BODMAS Questions

by Famida
September 17, 2020
in Articles, General Knowledge, Preparation Tips
Tips to Solve BODMAS Questions
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Table of Contents

  • BODMAS RULE
  • Conditions and Rules
  • Simplification of Brackets
  • Simplification using Orders
  • Simplification using Division and Multiplication
  • Addition and Subtraction
  • Bringing It All Together

An arithmetic expression that involves multiple operations such as addition, subtraction, multiplication, and division are not easy to solve as compared to operations involving two numbers. In this article, we will discuss Tips to Solve BODMAS Questions.

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BODMAS RULE

The BODMAS acronym is for:

  • Brackets (the parts of expression inside brackets and always come first).
  • Orders (numbers involving powers or square roots).
  • Division.
  • Multiplication.
  • Addition.
  • Subtraction.

In certain regions, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction) is employed, which is also the synonym of BODMAS.

It explains the order of operations to be performed while solving an expression. According to the BODMAS rule, if an expression contains brackets ((), {}, []) we have first to solve or simplify the bracket followed by “Orders” (numbers involving powers or square roots)., then division, multiplication, addition and subtraction from left to right. Solving the expression in the wrong order will result in a wrong answer.

The “Order” in the BODMAS full form is also called “of”, which means the numbers which involve powers, square roots, etc. Check the Conditions and Rules in the below table to have a better understanding of using the BODMAS rule.

Conditions and Rules

1: Who was the first woman President of India?

2: Which of the following is the longest river in India?

3: Who is known as the ‘Missile Man of India’?

4: What is the capital of Arunachal Pradesh?

5: Who among the following wrote the book ‘Discovery of India’?

    Fill out the form to see the results



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    Condition

    Rule

    a +(b + c) = a + b + c Open the bracket and only then add the terms.
    a – (b + c) = a – b – c Open the bracket and multiply the negative sign with each term inside the bracket.
    (All positive terms will be negative and vice-versa)
    a (b + c) = ab + ac Multiply the outside term with each of the numbers inside of the bracket

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    Simplification of Brackets

    Simplification of brackets in expression means the expansion of brackets. We can remove brackets from an expression by using multiplication. We use multiplication over addition or subtraction. Generally, it can be written as:

    x (y + z) = xy + xz

    Notes: The order of brackets that can be simplified is (), {}, [].

    Example 2: Expand and simplify

    9 (5+3)

    11 (2x + 3)

    Solution:

    (i) The terms inside the bracket are called like terms. We can solve this by two methods.

    Method 1: Add the terms inside the bracket and multiply the number outside the bracket with the sum of the numbers inside the bracket.

    9 (5 + 3) = 9 * 8 = 72

    Method 2: Multiply the outside terms with each number inside the bracket and add the products.

    9 (5 + 3) = (9 * 5) + (9 * 3)= 45 + 27 = 72

    (ii) Here the terms are unlike terms. This expression can be simplified by multiplying the number outside the bracket with the terms inside the bracket and by adding their product, you will find the solution.

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    Simplification using Orders

    Do anything involving orders that is the numbers involving powers or square roots, again working from left to right if there is more than one.

    Example:

    32 + 5 = ?

    You need to calculate the power first before you can add 5.

    32 = 3 × 3 = 9
    9 +5 = 14

    Simplification using Division and Multiplication

    Once you have done any parts of the calculation involving brackets or powers the next step is division and multiplication.

    Multiplication and division rank equally, so you work from left to right within the sum, doing each operation within the order in which it appears.

    Example:

    6 ÷ 2 + 7 × 4 = ?

    You need to do division and multiplication first, but you have one of each of them in this expression.

    Start from the left and work across to the right, which means that you start with 6 ÷ 2 = 3. Then do the multiplication, 7 × 4 = 28.

    Your calculation is now 3 + 28.

    Complete the operation to find the answer, 31.

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    Addition and Subtraction

    The final step is to solve addition or subtraction. Again, subtraction and addition rank equally, and you simply work from left to right.

    Example:

    4 + 6 − 7 + 3 = _?

    You start on the left and work your way across.

    4 + 6 = 10
    10 − 7 = 3
    3 + 3 = 6
    The answer is 6.

    Bringing It All Together

    This final example includes all elements of BODMAS.

    Example:

    4 + 82 × (30 ÷ 5) = _?

    Start with the calculation inside the brackets.

    30 ÷ 5 = 6
    This gives you 4 + 82 × 6 = _?

    Then calculate the orders – in this case, the square of 8.

    82 = 64
    Your answer is now 4 + 64 × 6

    Then move to the multiplication 64 × 6 = 384

    Finally perform the addition. 4 + 384 = 388

    The answer is 388.

    In this blog, we discussed  Tips to Solve BODMAS Questions. Keep visiting us for updates on various government jobs.

     

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    Famida

    Famida is an experienced educator with over a decade of teaching experience, specializing in grades 8 to 12, business management (BBM), and electronics engineering. Holding a Master's degree in Electronics and Communication Engineering, she has also trained interns in IoT. For the past four years, Famida has been writing articles for Entri, focusing on exam preparation tips, question papers, and study plans. She also creates practice questions for the Entri app and provides support to users. Additionally, Famida's writing skills extend to parenting and personal blogs, as well as curriculum development.

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