Solving the Mathematical Expression: 100 - 100 01 Using BODMAS and DMAS Rules

When it comes to solving mathematical expressions, the order of operations, often remembered by mnemonics like BODMAS or DMAS, is crucial. Let's explore how to solve the expression 100 - 100 01 using these rules.

BODMAS vs. DMAS: Understanding the Order of Operations

Both BODMAS and DMAS stand for specific orders in which mathematical operations should be performed to ensure accurate results. While they have subtle differences, they ultimately serve the same purpose.

BODMAS (Brackets, Orders, Division/Multiplication, Addition, Subtraction)

Brackets ( ): Solve expressions within brackets first. Orders or Powers/Roots (x): Evaluate any powers or roots. Division and Multiplication: Perform these operations from left to right, as they have the same priority. Addition and Subtraction: Perform these operations from left to right, as they also have the same priority.

DMAS (Division, Multiplication, Addition, Subtraction)

Division and Multiplication: Perform these operations from left to right, as they have the same priority. Addition and Subtraction: Perform these operations from left to right, as they also have the same priority.

Solving 100 - 100 01 Using BODMAS

Expression: 100 - 100 01

Orders (Powers/Roots): There are no powers or roots in this expression. Division and Multiplication: Perform multiplication first as it has higher priority than addition in the case of no other operations. Multiplication: 100 × 01 0. Therefore, the expression becomes 100 - 01. Subtraction and Addition: Perform the subtraction. Subtraction: 100 - 01 99.

Final Answer: 99

Solving 100 - 100 01 Using DMAS

Expression: 100 - 100 01

Division and Multiplication: Perform multiplication first as it has higher priority than subtraction in the case of no other operations. Multiplication: 100 × 01 0. Therefore, the expression becomes 100 - 01. Addition and Subtraction: Perform the subtraction. Subtraction: 100 - 01 99.

Final Answer: 99

Key Takeaways

The expression 100 - 100 01 involves only multiplication and subtraction, with multiplication taking precedence due to its higher priority. Both BODMAS and DMAS rules correctly lead to the same final answer, ensuring the correct sequence of operations. Always follow the order of operations to ensure accuracy in mathematical calculations.

References:

Chakradeo, S. (2023). Understanding the Order of Operations. Sundar, E. Y. (2023). Solving Mathematical Expressions with DMAS.