Understanding the Order of Operations: (2+3)2
In mathematics, the order of operations is crucial for ensuring consistent and accurate calculations. This is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Let's break down the problem (2+3)2 using this order:
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Parentheses: First, we solve the expression inside the parentheses: 2 + 3 = 5
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Exponents: Now we have 5² which means 5 multiplied by itself: 5 * 5 = 25
Therefore, (2+3)2 = 25
Why order matters
If we were to ignore the order of operations and simply calculate from left to right, we would get a different result:
2 + 3 * 2 = 2 + 6 = 8
This demonstrates the importance of following PEMDAS to ensure consistent and correct results.