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simplify x 4 4

simplify x 4 4

less than a minute read 21-10-2024
simplify x 4 4

Simplifying Expressions: Demystifying "x 4 4"

You might have encountered the expression "x 4 4" and wondered what it means. While it might seem confusing at first glance, understanding the order of operations and how multiplication works helps clarify this.

Understanding the Order of Operations

Before we dive into simplifying "x 4 4", let's refresh our memory on the order of operations. This is often remembered by the acronym PEMDAS or BODMAS:

  • Parentheses ( Brackets)
  • Exponents ( Orders)
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

Decoding "x 4 4"

In "x 4 4", we have two multiplications. Since multiplication is performed from left to right, we can break it down:

  1. x 4: This means 'x' multiplied by 4.
  2. (x 4) 4: The result of 'x 4' is then multiplied by 4.

Simplifying the Expression

To simplify "x 4 4", we perform the multiplication:

  • x 4 4 = (x * 4) * 4 = 4x * 4 = 16x

Practical Example

Let's say 'x' represents the number of apples you have. "x 4 4" means you have 'x' apples, then you get 4 times that amount, and then you get another 4 times that amount. So, if you started with 2 apples (x = 2), you'd end up with 16 apples (16x = 16 * 2 = 32).

Key Takeaways

  • The order of operations is crucial for solving mathematical expressions correctly.
  • "x 4 4" simply represents repeated multiplication, where the variable 'x' is multiplied by 4 twice.
  • Simplifying such expressions involves understanding the order of operations and performing the multiplications from left to right.

Additional Notes

The expression "x 4 4" can also be written in a more concise way as "4 * 4 * x" or "16x". This emphasizes the importance of understanding different ways to express the same mathematical concept.

Disclaimer: The information provided in this article is based on examples and discussions found on GitHub. It should be used for educational purposes and may not cover all possible scenarios or variations. For accurate and comprehensive information, consult reliable mathematical resources.

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