(-5)^2-2x(-9)+6 Order Of Operations

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Jul 03, 2024

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Evaluating the Expression: (-5)^2 - 2x(-9) + 6 using Order of Operations

When evaluating expressions that involve multiple operations, it's essential to follow the order of operations to ensure accuracy. The order of operations is a set of rules that dictates the sequence in which operations should be performed. The acronym PEMDAS is commonly used to remember the order of operations:

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
3. Multiplication and Division: Evaluate multiplication and division operations from left to right.
4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Let's apply the order of operations to the given expression: (-5)^2 - 2x(-9) + 6.

Step 1: Evaluate Exponents

The expression contains an exponent, which is (-5)^2. To evaluate this, we raise -5 to the power of 2:

(-5)^2 = (-5) × (-5) = 25

So, the expression becomes:

25 - 2x(-9) + 6

Step 2: Evaluate Multiplication and Division

The expression contains a multiplication operation: 2x(-9). To evaluate this, we multiply 2 by -9:

2x(-9) = 2 × (-9) = -18

Now, the expression becomes:

25 - (-18) + 6

Step 3: Evaluate Addition and Subtraction

Finally, we evaluate the addition and subtraction operations from left to right:

25 - (-18) = 25 + 18 = 43 43 + 6 = 49

Therefore, the final result of the expression (-5)^2 - 2x(-9) + 6 is:

49

By following the order of operations, we ensured that the expression was evaluated correctly and accurately.