Simplify The Expression: $ (17 + 8) + 11 $

Introduction

In mathematics, simplifying expressions is a crucial skill that helps us solve problems efficiently. It involves combining like terms, removing unnecessary operations, and expressing the result in the simplest form possible. In this article, we will simplify the expression: $(17 + 8) + 11$. We will break down the steps involved in simplifying this expression and provide a clear explanation of each step.

Understanding the Expression

The given expression is: $(17 + 8) + 11$. To simplify this expression, we need to follow the order of operations (PEMDAS):

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

Step 1: Evaluate the Expression Inside the Parentheses

The expression inside the parentheses is: $17 + 8$. To evaluate this expression, we need to add 17 and 8.

# Evaluate the expression inside the parentheses
expression_inside_parentheses = 17 + 8
print(expression_inside_parentheses)

Output: 25

So, the expression inside the parentheses evaluates to 25.

Step 2: Add 11 to the Result

Now that we have evaluated the expression inside the parentheses, we can add 11 to the result.

# Add 11 to the result
result = expression_inside_parentheses + 11
print(result)

Output: 36

Therefore, the simplified expression is: 36.

Conclusion

In this article, we simplified the expression: $(17 + 8) + 11$. We followed the order of operations (PEMDAS) and evaluated the expression inside the parentheses first. Then, we added 11 to the result. The final simplified expression is: 36.

Tips and Tricks

• When simplifying expressions, always follow the order of operations (PEMDAS).
• Evaluate expressions inside parentheses first.
• Add or subtract numbers from left to right.
• Use parentheses to group numbers and operations to make the expression easier to read and understand.

Common Mistakes to Avoid

• Not following the order of operations (PEMDAS).
• Not evaluating expressions inside parentheses first.
• Not adding or subtracting numbers from left to right.

Real-World Applications

Simplifying expressions is a crucial skill in mathematics that has many real-world applications. For example:

• In finance, simplifying expressions can help you calculate interest rates and investment returns.
• In science, simplifying expressions can help you calculate the trajectory of a projectile or the motion of an object.
• In engineering, simplifying expressions can help you design and optimize systems.

Practice Problems

Try simplifying the following expressions:

• $(23 + 9) + 7$
• $(15 - 3) + 11$
• $(24 + 12) - 8$

Answer Key

• $(23 + 9) + 7 = 39$
• $(15 - 3) + 11 = 23$
• $(24 + 12) - 8 = 28$

Conclusion

Introduction

In our previous article, we simplified the expression: $(17 + 8) + 11$. We followed the order of operations (PEMDAS) and evaluated the expression inside the parentheses first. Then, we added 11 to the result. The final simplified expression is: 36.

In this article, we will answer some frequently asked questions (FAQs) related to simplifying expressions. We will cover topics such as the order of operations, evaluating expressions inside parentheses, and adding or subtracting numbers.

Q&A

Q: What is the order of operations (PEMDAS)?

A: The order of operations (PEMDAS) is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The acronym PEMDAS stands for:

• Parentheses: Evaluate the expressions inside the parentheses first.
• Exponents: Evaluate any exponential expressions.
• Multiplication and Division: Evaluate any multiplication and division operations from left to right.
• Addition and Subtraction: Evaluate any addition and subtraction operations from left to right.

Q: Why do we need to evaluate expressions inside parentheses first?

A: We need to evaluate expressions inside parentheses first because the operations inside the parentheses are performed before any other operations in the expression. This is because the parentheses are used to group numbers and operations together, and we need to evaluate the expression inside the parentheses before we can perform any other operations.

Q: How do we add or subtract numbers in an expression?

A: When we have multiple numbers in an expression, we need to add or subtract them from left to right. This means that we perform the operations in the order that they appear in the expression, from left to right.

Q: Can we simplify expressions with multiple operations?

A: Yes, we can simplify expressions with multiple operations. We need to follow the order of operations (PEMDAS) and evaluate the expression inside the parentheses first. Then, we perform any multiplication and division operations from left to right, and finally, we perform any addition and subtraction operations from left to right.

Q: What are some common mistakes to avoid when simplifying expressions?

A: Some common mistakes to avoid when simplifying expressions include:

• Not following the order of operations (PEMDAS).
• Not evaluating expressions inside parentheses first.
• Not adding or subtracting numbers from left to right.

Q: How can we practice simplifying expressions?

A: We can practice simplifying expressions by working on problems and exercises that involve simplifying expressions. We can also use online resources and tools to help us practice and improve our skills.

Practice Problems

Try simplifying the following expressions:

• $(23 + 9) + 7$
• $(15 - 3) + 11$
• $(24 + 12) - 8$

Answer Key

• $(23 + 9) + 7 = 39$
• $(15 - 3) + 11 = 23$
• $(24 + 12) - 8 = 28$

Conclusion

In conclusion, simplifying expressions is a crucial skill in mathematics that has many real-world applications. By following the order of operations (PEMDAS) and evaluating expressions inside parentheses first, we can simplify complex expressions and arrive at the final result. Remember to practice regularly to improve your skills and become proficient in simplifying expressions.

Additional Resources

• Online resources: Khan Academy, Mathway, and Wolfram Alpha are some online resources that can help you practice and improve your skills in simplifying expressions.
• Textbooks and workbooks: You can find textbooks and workbooks that cover simplifying expressions and other mathematical concepts.
• Online communities: Join online communities and forums where you can ask questions and get help from other math enthusiasts.

Final Tips

• Practice regularly to improve your skills in simplifying expressions.
• Use online resources and tools to help you practice and improve your skills.
• Join online communities and forums where you can ask questions and get help from other math enthusiasts.