Understanding 333-33: A Comprehensive Guide to Solving Arithmetic Expressions
Introduction
The expression 333-33 might seem trivial at first glance, but it serves as an excellent example for understanding the order of operations, a fundamental concept in arithmetic. In this article, we will explore the step-by-step process of solving this expression using both PEMDAS and BODMAS rules, ensuring a clear understanding of the principles involved.
Solving 333-33 with PEMDAS
Step-by-Step Solution
Multiplication: According to the order of operations, we first perform any multiplication within the expression.
33 gives us 9.
Substituting and Rearranging: Replace the original expression with the result of the multiplication.
39 - 33
Addition and Subtraction: Perform the remaining operations from left to right.
39 - 33 12
12 - 33 9
9 * 3 12
The final result is 12.
Solving 333-33 with BODMAS
Step-by-Step Solution
Multiplication: Start with the multiplication operation.
33 9
Substituting and Performing Operations: Substitute the result back into the expression and perform addition and subtraction from left to right.
39 - 33
12 - 3 9
9 * 3 12
The final result is also 12.
Conclusion
Solving the expression 333-33 using the order of operations, which in mathematics is often referred to as either PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) or BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction), provides a clear and consistent method for simplifying arithmetic expressions. By following these rules, we can ensure accurate results and reinforce our understanding of fundamental mathematical principles.