Use A Calculator (or Phone App) To Evaluate $\frac{3^2+11}{7-3}$. Type Your Answer As A Whole Number Or A Decimal Rounded To The Hundredths Place (two Places After The Decimal). $\square$

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**Evaluating Expressions with Exponents and Fractions: A Step-by-Step Guide**

What is the given expression?

The given expression is $\frac{3^2+11}{7-3}$.

What does the expression mean?

This expression involves evaluating an exponent and a fraction. The exponent 323^2 means "3 squared" or "3 to the power of 2", which is equal to 3×3=93 \times 3 = 9. The fraction 9+117−3\frac{9+11}{7-3} requires us to add the numerator and subtract the denominator.

How do I evaluate the expression?

To evaluate the expression, we need to follow the order of operations (PEMDAS):

  1. Parentheses: None in this expression.
  2. Exponents: Evaluate the exponent 32=93^2 = 9.
  3. Multiplication and Division: Evaluate the numerator 9+11=209+11 = 20 and the denominator 7−3=47-3 = 4.
  4. Addition and Subtraction: Evaluate the fraction 204\frac{20}{4}.

What is the final answer?

Using a calculator or phone app, we can evaluate the expression as follows:

32+117−3=9+117−3=204=5.00\frac{3^2+11}{7-3} = \frac{9+11}{7-3} = \frac{20}{4} = 5.00

Rounded to two decimal places, the final answer is:

5.00

Common Mistakes to Avoid

  • Forgetting to evaluate the exponent before the fraction.
  • Not following the order of operations (PEMDAS).
  • Not using a calculator or phone app to evaluate the expression.

Tips and Tricks

  • Use a calculator or phone app to evaluate expressions with exponents and fractions.
  • Follow the order of operations (PEMDAS) to ensure accurate results.
  • Practice evaluating expressions with exponents and fractions to build your math skills.

Real-World Applications

  • Evaluating expressions with exponents and fractions is essential in various fields, such as science, engineering, and finance.
  • Understanding how to evaluate expressions with exponents and fractions can help you make informed decisions in real-world scenarios.

Conclusion

Evaluating expressions with exponents and fractions requires a clear understanding of the order of operations (PEMDAS) and the ability to use a calculator or phone app. By following these steps and avoiding common mistakes, you can accurately evaluate expressions and make informed decisions in various fields.