BODMAS Full Form In Marathi
B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction
BODMAS चे मराठीत फुल फॉर्म काय आहे?
बी-कंस, ओ-ऑर्डर्स (शक्ति/घातांक किंवा मुळे), डी-विभाग, एम-गुणाकार, ए-अॅडिशन, एस-वजाबाकी
BODMAS Introduction
BODMAS is an acronym that stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction.
It is a mnemonic used to remember the order of operations for solving mathematical expressions.
The order is crucial because it ensures that everyone calculates the expression in the same way to arrive at the correct answer.
History of BODMAS
The BODMAS rule dates back to the late 1800s and was first introduced by Augustus De Morgan in his book “A Syllabus of a Course of Mathematics”. It has since become a standard convention in mathematics.
Explanation of BODMAS
The BODMAS rule helps us solve expressions with more than one arithmetic operation. The sequence to follow is:
- Brackets: Solve expressions within brackets first.
- Orders: Evaluate expressions with exponents or roots next.
- Division and Multiplication: Perform these operations from left to right.
- Addition and Subtraction: Carry out these operations from left to right¹.
Common Misconceptions
A frequent misconception is that division always comes before multiplication, or addition always comes before subtraction. However, multiplication and division are of equal precedence, as are addition and subtraction. Operations of the same precedence should be performed from left to right.
Real-Life Applications
BODMAS is not just a school subject; it’s used in everyday life. For example, when splitting a bill among friends or calculating the time needed for a journey, BODMAS ensures accurate calculations.
Tips and Tricks
To master BODMAS, remember:
- Always simplify the brackets first.
- Solve any exponents and roots next.
- Perform division or multiplication from left to right.
- Carry out addition or subtraction from left to right.
Practice Problems
Here are some BODMAS practice problems to try:
- Simplify: ( 25 – [20 – {10 – (7-5-3)}] )
- Calculate: ( 100 – 3[20 + {50 – 40}] )
- Find the value of: ( 7 + (8 -3 \times 2) )
- Determine the answer for: ( 50- [20 + { 30- (20- 5)}] )
Remember, practice is key to becoming proficient in applying the BODMAS rule. Try solving these problems and check your answers to see if you’ve applied the rule correctly.
