BODMAS Rule

The BODMAS rule is a short form that is often used for remembering the orders in which the operations will be done for solving different mathematical expressions. Within the term BODMAS, B refers to Brackets, O refers to Order of roots or power, D refers to Division, M refers to Multiplication, A refers to Addition and S refers to Subtractions. The meaning of this is that the expressions that have multiple operators must be simplified sequentially from left to right in the order that has been mentioned above.

BODMAS Rule Definition

In the subject of reasoning, BODMAS is defined as a rule that is specifically used for calculating different mathematical expressions as well as carrying out different complex computations in standard as well as simple ways. According to this rule, the mathematician firstly solves the brackets, followed by the solving of the roots or powers. After that, the division or multiplication is done (irrespective of which is coming while going from left to right). Lastly, the addition or subtraction that comes first from the left side is done. If this rule is followed properly then the correct answer can be efficiently calculated. The terms within the brackets can be simplified directly. This refers to the fact that we can carry out the operations within the bracket in the particular order of division followed by multiplication. Multiplication is followed by addition and subtraction. In case multiple brackets are present within an expression, all of them can be solved at the same time.

BODMAS rule in Maths

In this article BODMAS rule is being discussed as a topic under Reasoning. However, in a larger context, it is a core topic in maths. BODMAS, commonly known as the BODMAS rule, refers to the sequence of operations, which is an order to perform the complete set of operations within an arithmetic operation. In maths, everything is about some predefined standard rules as well as logic which makes calculation of different expressions easier. The topic of the BODMAS rule in maths that is being discussed is one of these rules that simplify expressions having multiple operators much easier. In Maths, a particular expression includes two components which have been outlined in the following

• Operators
• Numbers

BODMAS rule Examples

BODMAS rule is a popular rule that is often used in mathematics to solve different complex mathematical expressions. In the following section, some BODMAS rule examples have been provided.

Example 1: Solve the arithmetic expression: 49 / 7 * 3 + 33 – (8 + 9)

Solution: The solution of the above problem is given as follows

49 / 7 * 3 + 33 – (8 + 9)

= 49 / 7 * 3 + 33 – 17, [the bracket (8 + 9) is calculated first]

= 49 / 7 * 3 + 27 – 17, [the order of the power 33 is calculated next]

= 7 * 3 + 27 – 17, [Next the division, 49/7 is done]

= 21 + 27 – 17, [Multiplication, 7 *3 is done after that]

= 48 – 17, [This followed by the sum 21 + 27]

= 31, [Lastly we calculate the subtraction 48 – 17]

Thus, the required answer is 31.

Example 2: Solve the arithmetic expression: 64 / 8 * 2 + 23 – (3 + 9)

Solution: The solution of the above problem is given as follows

64 / 8 * 2 + 23 – (3 + 9)

= 64 / 8 * 2 + 23 – 12, [the bracket (3 + 9) is calculated first]

= 64 / 8 * 2 + 8 – 12, [the order of the power 23 is calculated next]

= 8 * 2 + 8 – 12, [Next the division, 64 / 8 is done]

= 16 + 8 – 12, [Multiplication, 7 *3 is done after that]

= 24 – 12, [This followed by the sum 16 + 8]

= 12, [Lastly we calculate the subtraction 24 – 12]

Thus, the required answer is 12.

Conclusion

The topic on which the overall article has been written in the BODMAS rule in mathematics. This is a core topic in the subject of reasoning. The BODMAS rule is very important for solving complex expressions in mathematics. Under this main topic, several subtopics have been discussed which include the definition of BODMAS rule, BODMAS rule in maths, and BODMAS rule examples.