BODMAS and PEMDAS are actually both correct.
In both PEMDAS and BODMAS multiplication and division are done left to right with no precedence.
The same is also true for addition and subtraction.
Both BODMAS and PEMDAS are correct and they represent the same fundamental order of operations, but just use different terminology.
Both of these methods dictate that you solve expressions in this order which include Parentheses/Brackets, Exponents/Orders, Multiplication/Division (left to right), and Addition/Subtraction (left to right).
BODMAS and PEMDAS are interchangeable regional conventions.
PEMDAS is mostly used in the U.S. and represents Addition and Subtraction, Division and Multiplication, orders and brackets.
BODMAS is mostly used in the UK and India and also represents Addition and Subtraction, Division and Multiplication, Orders and Brackets.
The crucial rule is that multiplication and division have equal priority and must be solved from left to right.
Another crucial rule is that addition and subtraction have equal priority and must be solved from left to right.
An example of BODMAS and PEMDAS is that 12 ÷ 2 x3 is solved as 12 ÷ 2 x 3=18 (left to right), not 12 ÷ (2x3) =2.
Both of these acronyms are designed to ensure that you get accurate and consistent answers to your mathematical expressions.
The most common BODMAS mistake is ignoring brackets or misplacing exponents.
Think of the acronym BODMAS itself.
Brackets first, then Orders, followed by Division/Multiplication, and finally Addition/Subtraction.
These acronyms differ based on where they are used.
For example, PEMDAS is commonly used by mathematicians in the US, while BODMAS and BIDMAS are commonly used in the UK.
Canada and New Zealand often use BEDMAS.