Solving the Expression: 100–100×0 and Understanding Order of Operations
In mathematics, order of operations is crucial for solving expressions accurately. One common example that often stumps many is the expression 100–100×0. Let's dive into this expression and understand it step-by-step using the order of operations.
Understanding the Order of Operations
The order of operations is a set of rules that dictate the sequence in which operations in an expression should be carried out. This order ensures that everyone arrives at the same result. There are two popular acronyms to remember this: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) and BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction).
Breaking Down the Expression: 100-100×0
The expression we are dealing with is: 100 - 100 × 0.
Step 1: Multiplication
According to PEMDAS/BODMAS, multiplication is performed before subtraction. Therefore, we first need to solve 100 × 0.
100 × 0 0
Step 2: Subtraction
Now that we have the result of the multiplication, we can proceed with the subtraction:
100 - 0 100
Conclusion
Therefore, the expression 100 - 100 × 0 simplifies to 100.
Further Examples and Relevance of Order of Operations
Now, let's consider another expression involving a number with multiple digits: 100100×0 - 100 × 0.
Expression: 100100×0 - 100 × 0
Again, using the order of operations:
Step 1: Multiplication
100100 × 0 0
100 × 0 0
Step 2: Subtraction
0 - 0 0
Therefore, the expression 100100×0 - 100 × 0 simplifies to 0.
Why is Understanding Order of Operations Important?
Understanding the correct order of operations is essential for solving complex mathematical expressions accurately. It ensures that calculations are consistent and reliable. Whether you are a student, a professional, or simply someone who uses basic math in daily life, knowing the order of operations is invaluable.
Additional Tips for Mastery
Use Parentheses for Clarity: Parentheses can help clarify the order of operations and make the expression more clear. Practice with Different Types of Expressions: The more you practice, the more comfortable you will become with different types of expressions and the application of the order of operations. Always Double-Check: Regularly reviewing and verifying your work can help catch any errors and reinforce your understanding of the order of operations.Conclusion
In conclusion, while the expression 100 - 100 × 0 can seem confusing at first glance, applying the order of operations clarifies the solution. Understanding and mastering the order of operations will not only help in solving such expressions but also in more complex mathematical calculations.
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