Bodmas Rule – Definition & Examples

Bodmas

The order of the BODMAS acronym is followed by the Bodmas rule, i.e. 

B – Brackets

O – Order of powers or roots

D – Division

M – Multiplication

A – Addition

S – Subtraction

According to the BODMAS rule, mathematical equations containing many operators must be solved from left to right in the BODMAS order. Division and multiplication are interchangeable and are determined by which comes first in the phrase, as are addition and subtraction.

Some kids utilize the Bodmas rule as a mnemonic device (like Richard Of York Gave Battle In Vain is used to remember the colors Red, Orange, Yellow, Green, Blue, Indigo, Violet).

The BODMAS Rule is a concept that is used almost every day while solving equations. If you want to understand the topic in a fun and conceptual way do visit the Cuemath website.

Definition of BODMAS Rule

The BODMAS Rule indicates that expressions with numerous operators must be simplified in this sequence only, from left to right. We start with brackets, then powers or roots, division or multiplication (whichever comes first from the left side of the equation), and lastly subtraction or addition (whichever comes first from the left side of the expression).

To answer any mathematical statement, the BODMAS rule states that the first we need to do is to solve the numbers in brackets, next is to simplify exponential terms, move to division and multiplication operations, and last concentrate on addition and subtraction. 

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Following the BODMAS rule’s order of operations always yields the right solution. The terms inside the parentheses can be immediately simplified. This indicates that the operations contained within the bracket are in the following order: division, multiplication, addition, and subtraction. If an expression has several brackets, all brackets of the same type can be solved at the same time

What is the Order of Operations?

This is the sequence in which certain operations must be accomplished, beginning with brackets and ending with addition and subtraction.

Division and multiplication must be shown beside each other since they are equally significant (and must be calculated from left to right, whichever occurs first) — the same is true for addition and subtraction. We are going to discuss more the order of operations in this article.

What are Operators?

An operator is defined as a symbol that joins two numbers as well as creates an expression or equation. The most frequent operators in mathematics are Addition (+), Subtraction (-), Multiplication (*), and Division (/). Finding the solution to mathematical statements or equations with only one operator is quite straightforward. Looking for a solution is more difficult when there are numerous operators!

Examples of BODMAS Rule

For instance, (4 + 1) (13 – 2) which will be equal to 5*11 = 55

For instance, (2 + 1) (2+ 2) which will be equal to 3*4 = 12

For instance, (5 – 1) (3 – 2) which will be equal to 4*1 = 4

For instance, (4/2) (3*2) which will be equal to 2*6 = 12

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Errors that are Common when Applying the BODMAS Rule

When using the BODMAS rule to simplify equations, it is possible to commit certain typical mistakes, which are listed below:

  • The inclusion of many brackets may cause misunderstanding, resulting in an incorrect response. As a result, if an expression has several brackets, all brackets of the same type can be solved at the same time.
  • A mistake is made when it is assumed that division takes precedence over multiplication and addition takes precedence over subtraction. Following the guideline of left to right while selecting these procedures aids in obtaining the correct result.

Tips for Remembering the BODMAS Rule

The following are the guidelines for simplifying the phrase using the BODMAS rule:

  • To begin, simplify the brackets.
  • Exponent or root words must be solved.
  • Carry out a division or multiplication operation (from left to right)
  • Carry out an addition or subtraction operation (from left to right)

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