Calculate: − 13 ( − 4 + 4 ) ÷ 13 -13(-4+4) \div 13 − 13 ( − 4 + 4 ) ÷ 13 ${ \begin{tabular}{ll} A & -1 \ B & 0 \ C & -8 \ D & \frac{56}{13} \ \end{tabular} }$

In this article, we will delve into the world of mathematics and explore a complex equation that requires careful attention to detail and a solid understanding of mathematical operations. The equation in question is $-13(-4+4) \div 13$. Our goal is to simplify this expression and arrive at a final answer.

Understanding the Order of Operations

Before we begin, it's essential to understand the order of operations, which is a set of rules that dictate the order in which mathematical 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.

Simplifying the Expression

Now that we have a solid understanding of the order of operations, let's apply it to the given equation. The first step is to evaluate the expression inside the parentheses:

$-4+4 = 0$

So, the equation becomes:

$-13(0) \div 13$

Evaluating the Multiplication

Next, we need to evaluate the multiplication operation:

$-13(0) = 0$

Now, the equation becomes:

$0 \div 13$

Evaluating the Division

Finally, we need to evaluate the division operation:

$0 \div 13 = 0$

Therefore, the final answer to the equation $-13(-4+4) \div 13$ is 0.

Comparing the Answer to the Options

Now that we have arrived at the final answer, let's compare it to the options provided:

Option	Value
A	-1
B	0
C	-8
D	$\frac{56}{13}$

As we can see, the correct answer is B, which is 0.

Conclusion

In conclusion, solving the equation $-13(-4+4) \div 13$ requires careful attention to detail and a solid understanding of mathematical operations. By following the order of operations and simplifying the expression step by step, we arrived at the final answer of 0. This equation serves as a reminder of the importance of following the order of operations and simplifying expressions carefully.

Frequently Asked Questions

• What is the order of operations? The order of operations is a set of rules that dictate the order in which mathematical operations should be performed. The acronym PEMDAS is commonly used to remember the order of operations.
• How do I simplify an expression? To simplify an expression, follow the order of operations and evaluate the expression step by step.
• What is the final answer to the equation $-13(-4+4) \div 13$? The final answer to the equation $-13(-4+4) \div 13$ is 0.

Additional Resources

For more information on the order of operations and simplifying expressions, check out the following resources:

• Khan Academy: Order of Operations
• Mathway: Simplifying Expressions
• Wolfram Alpha: Order of Operations

Discussion

What do you think about the equation $-13(-4+4) \div 13$? Do you have any questions or comments about the solution? Share your thoughts in the discussion section below!

Discussion Options

Option	Value
A	-1
B	0
C	-8
D	$\frac{56}{13}$

Leave a Comment

• Your comment will be displayed below.

Recent Comments

• John Doe: I think the equation is a great example of the importance of following the order of operations.
• Jane Smith: I'm not sure I understand the solution. Can someone explain it to me?
• Bob Johnson: I think the final answer is correct. Well done!

Related Posts

• Solving the Equation: $2x + 5 = 11$
• Simplifying Expressions: A Step-by-Step Guide
• The Order of Operations: A Review
  Q&A: Calculating the Equation $-13(-4+4) \div 13$ =====================================================

In our previous article, we explored the equation $-13(-4+4) \div 13$ and arrived at the final answer of 0. However, we know that math can be complex and confusing, and sometimes it's helpful to have a Q&A session to clarify any doubts. In this article, we'll answer some frequently asked questions about the equation and provide additional insights to help you better understand the solution.

Q: What is the order of operations?

A: The order of operations is a set of rules that dictate the order in which mathematical 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.

Q: How do I simplify an expression?

A: To simplify an expression, follow the order of operations and evaluate the expression step by step. Start by evaluating any expressions inside parentheses, then move on to any exponential expressions, and finally evaluate any multiplication and division operations from left to right.

Q: What is the final answer to the equation $-13(-4+4) \div 13$?

A: The final answer to the equation $-13(-4+4) \div 13$ is 0.

Q: Why is the final answer 0?

A: The final answer is 0 because the expression inside the parentheses is equal to 0. When we multiply 0 by -13, we get 0. Then, when we divide 0 by 13, we still get 0.

Q: Can you explain the solution in more detail?

A: Of course! Let's break down the solution step by step:

1. Evaluate the expression inside the parentheses: $-4+4 = 0$
2. Multiply 0 by -13: $0 \times -13 = 0$
3. Divide 0 by 13: $0 \div 13 = 0$

Q: What if I get a different answer?

A: If you get a different answer, it's likely because you made a mistake in the order of operations or in the simplification of the expression. Double-check your work and make sure you followed the order of operations correctly.

Q: Can you provide more examples of equations that require the order of operations?

A: Of course! Here are a few examples:

• $2(3+4) \div 5$
• $5-2(3+1)$
• $4(2-1) \times 3$

Q: How can I practice the order of operations?

A: There are many ways to practice the order of operations, including:

• Using online resources such as Khan Academy or Mathway
• Working through practice problems in a textbook or worksheet
• Creating your own practice problems and solving them

Q: What if I'm still confused?

A: If you're still confused, don't worry! Math can be complex and confusing, and it's okay to ask for help. Reach out to a teacher, tutor, or classmate for support, or try watching video tutorials or online lessons.

Conclusion

In conclusion, calculating the equation $-13(-4+4) \div 13$ requires careful attention to detail and a solid understanding of the order of operations. By following the order of operations and simplifying the expression step by step, we arrived at the final answer of 0. We hope this Q&A article has helped clarify any doubts and provided additional insights to help you better understand the solution.

Frequently Asked Questions

• What is the order of operations?
• How do I simplify an expression?
• What is the final answer to the equation $-13(-4+4) \div 13$?
• Why is the final answer 0?
• Can you explain the solution in more detail?
• What if I get a different answer?
• Can you provide more examples of equations that require the order of operations?
• How can I practice the order of operations?
• What if I'm still confused?

Additional Resources

For more information on the order of operations and simplifying expressions, check out the following resources:

• Khan Academy: Order of Operations
• Mathway: Simplifying Expressions
• Wolfram Alpha: Order of Operations

Discussion

What do you think about the equation $-13(-4+4) \div 13$? Do you have any questions or comments about the solution? Share your thoughts in the discussion section below!

Discussion Options

Option	Value
A	-1
B	0
C	-8
D	$\frac{56}{13}$

Leave a Comment

• Your comment will be displayed below.

Recent Comments

• John Doe: I think the equation is a great example of the importance of following the order of operations.
• Jane Smith: I'm not sure I understand the solution. Can someone explain it to me?
• Bob Johnson: I think the final answer is correct. Well done!

Related Posts

• Solving the Equation: $2x + 5 = 11$
• Simplifying Expressions: A Step-by-Step Guide
• The Order of Operations: A Review