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Question Use the order of operations to simplify the given expression. \[ 25 \div 5^{2}-7 \]

Ask by Bryant Jimenez. in the United States
Mar 08,2025

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Answer

The simplified expression is \(-6\).

Solution

1. First, evaluate the exponent: \[ 5^2 = 25 \] 2. Substitute back into the expression: \[ 25 \div 25 - 7 \] 3. Next, perform the division: \[ 25 \div 25 = 1 \] 4. Finally, subtract: \[ 1 - 7 = -6 \] Thus, the simplified expression is \(-6\).

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Beyond the Answer

To simplify the expression \( 25 \div 5^{2}-7 \), we first need to calculate \( 5^{2} \), which equals \( 25 \). This simplifies our expression to \( 25 \div 25 - 7 \). Now, dividing \( 25 \div 25 \) gives us \( 1 \), so the expression now reads \( 1 - 7 \). Finally, subtracting \( 7 \) from \( 1 \) gives us \( -6 \). The final answer is \( -6 \). Understanding the order of operations can be super beneficial! The sequence of Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS, helps ensure clear and correct calculations. It’s like a treasure map for navigating through the world of math; follow it closely and you can unlock the correct answer every time! If you’re tasked with simplifying expressions often, try practicing with different operations and practice problems. Make a game of it! Use a timer to see how fast you can correctly simplify various expressions, or challenge a friend to do the same. This not only makes it more fun but also reinforces your skills and boosts your confidence in math!

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