75 x2 2

Lyra Rowan

less than a minute read

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29-09-2024

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Deciphering the Puzzle: 75 x 2 2

The expression "75 x 2 2" might look simple at first glance, but it hides a potential for ambiguity. Without clear instructions on how to interpret the order of operations, multiple answers can emerge. This article will explore the different interpretations and shed light on the correct approach, using insights from the popular online learning platform Brainly.

Understanding the Problem

The key lies in understanding the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's break down the possibilities:

Scenario 1: Left-to-Right

One way to interpret this expression is by performing the operations from left to right. This leads to:

• 75 x 2 = 150
• 150 x 2 = 300

Therefore, if we follow this approach, the answer is 300.

Scenario 2: Implicit Multiplication

Another interpretation, supported by a Brainly user, involves seeing "2 2" as an implied multiplication, making the expression "75 x 2 x 2". This approach leads to:

• 75 x 2 = 150
• 150 x 2 = 300

In this scenario, the answer remains 300.

The Importance of Clarity

While both interpretations lead to the same answer in this specific case, it highlights the importance of clear mathematical notation. Ambiguity can arise, leading to confusion and potentially different answers.

Best Practices for Avoiding Ambiguity

To avoid confusion and ensure clear communication in mathematical expressions:

• Use parentheses to explicitly define the order of operations. For example, (75 x 2) x 2 or 75 x (2 x 2)
• Employ clear spacing to separate terms and operations. This helps to visually distinguish between multiplication and adjacent numbers.

Beyond the Answer: Applying the Principles

Understanding the order of operations is crucial in various real-life scenarios, from calculating financial budgets to designing engineering projects. By mastering this concept, we can confidently tackle complex problems and communicate our solutions accurately.

Conclusion

While the expression "75 x 2 2" can be interpreted in different ways, understanding the order of operations is paramount. Using clear notation and adhering to established mathematical rules ensures that everyone arrives at the same correct answer.

Remember: Always strive for clarity and precision when working with mathematical expressions, whether it's in a classroom or a real-world application.