BODMAS is an abbreviation for Brackets (also called parentheses), Order of indices, Multiplication and division, Subtraction and addition.
The BODMAS describes the sequence of operations in a mathematical equation. It is a fundamental mathematical idea employed in many situations when complicated equations must be solved.
It aids in the resolution of simplification issues and, in most circumstances, lowers computation time. As a result, having a firm grasp of this notion is essential from the outset.
BODMAS is a collection of mathematics and computer programming rules that represent standards on which processes to run to assess a given mathematical statement.
These rules prevent notational ambiguity while allowing for the shortest feasible notation. When it is intended to overrule or just stress precedence conventions, parenthesis () might be utilized.
Assume a mathematical phrase requires many pairs of parentheses (such as in the case of nested parentheses). Brackets or braces might substitute the parenthesis.
Compared to operations involving two integers, an arithmetic statement requiring numerous functions such as addition, subtraction, multiplication, and division is difficult to answer. A two-number procedure is simple.
But how do you solve an expression with brackets and several operations, and how do you simplify a bracket? Let's review the BODMAS rule and learn about bracket simplification.
BODMAS Rule
The rules for using the BODMAS rule to simplify the equation are as follows:
- First, simplify the brackets.
- Solutions that are based on exponents or root terms.
- Perform a division or multiplication (from left to right).
- Carry out the addition or subtraction procedure (from left to right).
Common Misconception
There is a prevalent misperception that division comes before multiplication or addition comes before subtraction in the BODMAS rule; nevertheless, multiplication and division are of equal "importance," as are addition and subtraction (but less so than multiplication and division).
These operations are conducted from left to right according to BODMAS rules (although addition and subtraction can be completed in any order and still achieve the same answer).
BODMAS vs. PEMDAS
We can come across different terms as we go from one place to another. BODMAS is very popular in India and UK, and PEMDAS rules in the USA. Here we look at some differences between these two.
BODMAS |
Symbols |
PEMDAS |
Brackets |
() |
Parenthesis |
Other things |
x^2 |
Exponents |
Division |
/ |
Multiplication |
Multiplication |
* |
Division |
Addition |
+ |
Addition |
Subtraction |
- |
subtraction |
How to Solve BODMAS Questions?
Example 1: 50 – 4^2 x 3 60-5^2 *2
Solution:
- Brackets: There are no brackets in this question.
- Powers Of (or Indices in BIDMAS)
- 5^2 is 25. The question now becomes 60 – 25 x 2.
- Division and Multiplication: 25 x 2 = 50
- Addition and Subtraction :60 – 50 = 10
Example 2: 30 + (30 ÷ 6) – 5 28/7
Solution:
- Brackets: Solve inside brackets first: 30 ÷ 6 = 5
- Powers of: This question has no indices.
- Multiplication and division: This question has no division or multiplication outside the brackets.
- Addition and Subtraction: The question now reads 30 + 5 – 5. Addition and subtraction can be done in any order: if we did the addition first (30 + 5 = 35) and solved the calculation from left to right, then 35 – 5 = 35. If we did the subtraction first (5 – 5=0) and then the addition, then 30 +0 = 30.
BODMAS quiz
Q1. What is the correct order of operations?
- addition and subtraction, multiplication and division, brackets, and order.
- brackets, order, addition and subtraction, multiplication, and division.
- brackets, order, division, multiplication, addition, and subtraction.
- multiplication and division, brackets, order, addition, and subtraction.
Q2. What does 'A' stands for in the full form of BODMAS?
- Angle
- Abstract
- Algebra
- Addition
Q3. Solve 7 + (8 -3x2) with BODMAS rule.
- 9
- 20
- 19
- 10
Q4. What is the value of (1/4 + 7/4) - 2
- Zero
- 10
- -1
- 1.1
Q5. BODMAS rule is used to solve the _______ of a mathematical expression.
- Order of Operations
- Square roots
- Equation
- Brackets
Q6. Solve using the BODMAS rule: 2 [2 + 2 {39 -2 (17 + 2)}]
- 18
- 11
- 28
- 8
Q7.Do BODMAS and PEMDAS rules mean the same?
- Slightly Similar
- Slightly different
- Yes
- No
Q8. Solve using BODMAS rue: 25 - 1 of (10 - 8) + 7 × 7.
- 72
- 50
- 52
- 70
Q9. Find the value of (3 + 3) x (3 ៖ 3) x (3x3)
- 3
- 24
- 54
- 9
Q10. Simplify [90 - 70 ÷ 11 - 9 ]+ ( 18 - 6) ÷ 4
- 77.63
- 70
- 72
- 73.33
BODMAS questions
Here are a few BODMAS questions for you to consider:
- Simplify 20 - [20 - {10 -(7-5-3)}
- Find the solution to 100 - 3 [20 + 50 - 40].
- 7 + (8 -3×2)
- Find the solution to 50- [20 + 30- (20- 5)]?
- find the value of 145- [10 + 3- (10- 5)].
- Simplify 2/10 x (6+8X3-2)+ [1/5 + 7/25 - {3/7 + 7/14}]
- Determine the solution of 10 - 4 + 30 (4+ 10 - 1) using the BODMAS rule.
- 10 - [8 -{6 - (4- 8 - 5)}] solve the following problems
- What will be the answer to this question? [40/20- 2/3 + 6/6 x 3/5]
- 10 {(24 - 6) + (36 - 12)}
- 1/2 [{ 2 (1 + 2) 10} -15] x 3 20 - [6- {4 - (8 - 6 + 3)}]
- Determine the value of y using the BODMAS rule: 2 + y x 3 - 22 = 8
- Find the right solution to (3/4 + 5/4). - 2
- 45 x 3 x 7 x [22/11+ 60/12]
- Use the BODMAS rule to answer this question: 2 [2 + 2 {39 -2 (17 + 2)}]
- Solve this BODMAS Problem (15 x 18)
- 10 x 2 (2+ 14)
- [27- (- 2) {12 - (7 - 3)}] + [3 x {5 + (-6) x (-5)}] Solve this difficult issue using the BODMAS approach.
- 93- (-3) {-2 -8-3} + 3 {5+ (-2) (-1)}
- What will be the outcome of this BODMAS question: 27 - [38 - {46 - (15- 13 2)}]
Solved Questions and Answers
Q1: Simplify: 14 + (8 – 2 × 3)
Solution:
14 + (8 – 2 × 3)
= 14 + (8 – 6)
= 14 + 2
= 16
Therefore, 14 + (8 – 2 × 3) = 16.
Q 2: Simplify: 26 – 24 ÷ 6 × 4 + 42
Solution:
26 – 24 ÷ 6 × 4 + 42
We should divide first, according to the BODMAS rule.
= 26 – 4 × 4 + 42
Let’s perform the multiplication.
= 26 – 16 + 42
Finally, there is addition and subtraction.
= 16 + 42 = 58
Q3: Simplify[40 – 3 (6 + 4)] ÷ 2 + 9.
Solution:
The problem given is [40 – 3 (6 + 4)] ÷ 2 + 9.
Solving small bracket (6 + 4) = 10.
The big bracket is 3 (10) = 30
Take [40 – 30] ÷ 2 + 9
10 ÷ 2 + 9
The division operation is performed,
Then 5 + 9 = 14