Solving the Equation 53×2 Using PEDMAS/BODMAS: A Comprehensive Guide

Are you looking to understand the order of operations in mathematics, particularly how to solve the equation 53×2? Let's explore this using the PEDMAS (or BODMAS) method, which is widely recognized in the industry to ensure that calculations are done correctly and consistently.

Understanding PEDMAS/BODMAS

Before we dive into solving the equation, it's essential to understand the roles of each element in the PEDMAS/BODMAS acronym:

P (Parentheses): Solve any operations within parentheses first. E (Exponents): Solve any exponents next. D (Division): Perform division, moving from left to right. M (Multiplication): Perform multiplication, moving from left to right. A (Addition): Perform addition, moving from left to right. S (Subtraction): Perform subtraction, moving from left to right.

Breaking Down the Equation 53×2

The equation we are solving is 53×2. Following the PEDMAS/BODMAS rule, we can see that we do not have any parentheses or exponents to deal with in this particular problem. Therefore, we move directly to multiplication and addition (or subtraction) from left to right.

Step-by-Step Guide

Identify the Multiplication: In the equation 53×2, the first operation to note is the multiplication of 3 by 2. Perform the Multiplication: 3×2 6. Combine with Addition/Subtraction: Since there is only a single operation (56), we can infer that we are likely dealing with 5 6. Final Addition: 5 6 11.

Common Pitfalls to Avoid

Many solve this equation by mistakenly performing the addition (5 3) before the multiplication (3×2). This would lead to a wrong answer. Remember, according to the PEDMAS/BODMAS, multiplication is done before addition when no parentheses or exponents are present.

Conclusion

The correct answer to the equation 53×2, following the PEDMAS/BODMAS order of operations, is 11. Understanding and practicing this method will help you solve more complex equations accurately.

Frequently Asked Questions

What is PEDMAS/BODMAS?
PEDMAS and BODMAS are acronyms used to remember the order of operations in mathematics. PEDMAS stands for Parentheses, Exponents, Division, Multiplication, Addition, Subtraction, while BODMAS stands for Brackets, Orders, Division, Multiplication, Addition, Subtraction. Why is the order of operations important?
The order of operations ensures that expressions are evaluated in a consistent manner, leading to the same result regardless of who solves it. This consistency is crucial in mathematics and its applications. Can PEDMAS and BODMAS be used in real-life situations?
Yes, the concepts of PEDMAS/BODMAS are used in various fields, including finance, engineering, and physics, where calculations need to be done accurately and consistently.

By mastering the order of operations, you can solve complex mathematical equations efficiently and accurately. Practice makes perfect, so try solving similar equations on your own to reinforce your understanding.