131x2+242x2

Breiz Heurope

2 min read

·

10-03-2025

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This article will guide you step-by-step through solving the equation 131 x 2 + 242 x 2. We'll break down the process to make it easy to understand, even if you're not a math whiz. Understanding order of operations is key here. This seemingly simple equation demonstrates fundamental arithmetic principles.

Understanding Order of Operations (PEMDAS/BODMAS)

Before we begin, let's quickly review the order of operations. This ensures we solve the equation correctly. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) or BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) helps us remember the correct sequence. In this equation, we'll focus on multiplication before addition.

Step-by-Step Solution

Here's how we'll solve 131 x 2 + 242 x 2:

1. Multiplication First:

• We begin by performing the multiplication operations individually.
• 131 x 2 = 262
• 242 x 2 = 484

2. Addition:

• Now that we've completed the multiplication, we add the results together:
• 262 + 484 = 746

Therefore, the solution to 131 x 2 + 242 x 2 is $\boxed{746}$

Alternative Method: Distributive Property

We can also solve this using the distributive property of multiplication over addition. This involves factoring out the common factor of 2:

1. Factor out the 2: 2(131 + 242)

2. Add the numbers inside the parentheses: 2(373)

3. Multiply: 2 x 373 = 746

This method demonstrates another way to arrive at the same correct answer. It often simplifies calculations, especially when dealing with larger numbers or more complex expressions.

Practical Applications

Understanding how to solve equations like this is crucial for various aspects of life. From everyday budgeting and calculating discounts to more complex applications in science, engineering, and finance, basic arithmetic forms the foundation. Mastering these foundational concepts allows for success in more advanced mathematical concepts.

Conclusion

Solving 131 x 2 + 242 x 2 is straightforward when you follow the order of operations. Whether you tackle it step-by-step or utilize the distributive property, the answer remains the same: 746. Remember the importance of order of operations (PEMDAS/BODMAS) and practice regularly to improve your mathematical skills. The ability to perform these basic calculations is a vital skill applicable across numerous fields.