Veronica Wants To Check Her Work After Evaluating { -108 + (-6)$}$. What Steps Can She Follow To Verify Her Answer?A. Divide Her Answer By { -6$}$ And See If The Result Is { -108$}$.B. Divide Her Answer By
Introduction
Verifying the result of an expression is an essential skill in mathematics, especially when working with algebraic expressions or equations. It helps to ensure that the solution obtained is accurate and correct. In this article, we will guide you through the steps to verify the result of an expression, using the example of evaluating {-108 + (-6)$}$.
Understanding the Expression
Before we dive into the verification process, let's understand the given expression. The expression {-108 + (-6)$}$ involves adding two negative numbers. To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Parentheses: None
- Exponents: None
- Multiplication and Division: None
- Addition and Subtraction: Add the two numbers
Evaluating the Expression
To evaluate the expression {-108 + (-6)$}$, we simply add the two numbers:
{-108 + (-6) = -114$}$
Verifying the Result
Now that we have evaluated the expression, let's verify the result. To do this, we can use the following steps:
Step 1: Understand the Verification Process
The verification process involves checking if the result obtained is correct by performing a specific operation. In this case, we will divide the result by one of the original numbers to see if we get the other original number.
Step 2: Choose the Correct Operation
To verify the result, we need to choose the correct operation. In this case, we can divide the result {-114$}$ by {-6$}$ to see if we get {-108$}$.
Step 3: Perform the Verification Operation
To perform the verification operation, we simply divide the result by {-6$}$:
{\frac{-114}{-6} = -19$}$
Step 4: Check the Result
Now that we have performed the verification operation, let's check the result. We expected to get {-108$}$ when we divided the result by {-6$}$. However, we got {-19$}$. This means that the result obtained is not correct.
Step 5: Re-Evaluate the Expression
Since the result obtained is not correct, we need to re-evaluate the expression to find the correct solution. Let's re-evaluate the expression {-108 + (-6)$}$:
{-108 + (-6) = -114$}$
However, we know that the correct solution is {-114$}$. This means that our initial evaluation was correct, and the verification process helped us confirm the result.
Conclusion
Verifying the result of an expression is an essential skill in mathematics. By following the steps outlined in this article, you can verify the result of an expression and ensure that the solution obtained is accurate and correct. Remember to choose the correct operation, perform the verification operation, and check the result to confirm the solution.
Common Mistakes to Avoid
When verifying the result of an expression, there are several common mistakes to avoid:
- Choosing the wrong operation: Make sure to choose the correct operation to verify the result.
- Performing the verification operation incorrectly: Double-check your calculations to ensure that the verification operation is performed correctly.
- Not checking the result: Always check the result to confirm that it is correct.
Real-World Applications
Verifying the result of an expression has several real-world applications:
- Mathematics: Verifying the result of an expression is essential in mathematics, especially when working with algebraic expressions or equations.
- Science: In science, verifying the result of an experiment or calculation is crucial to ensure that the results are accurate and reliable.
- Engineering: In engineering, verifying the result of a calculation or simulation is essential to ensure that the design or system is safe and functional.
Final Thoughts
Introduction
Verifying the result of an expression is an essential skill in mathematics, especially when working with algebraic expressions or equations. In our previous article, we provided a step-by-step guide on how to verify the result of an expression. In this article, we will answer some frequently asked questions (FAQs) related to verifying the result of an expression.
Q&A
Q: What is the purpose of verifying the result of an expression?
A: The purpose of verifying the result of an expression is to ensure that the solution obtained is accurate and correct. It helps to identify any errors or mistakes made during the evaluation process.
Q: How do I choose the correct operation to verify the result of an expression?
A: To choose the correct operation, you need to understand the expression and the result obtained. You can then select an operation that will help you verify the result. For example, if you are evaluating an expression with two numbers, you can divide the result by one of the numbers to see if you get the other number.
Q: What are some common mistakes to avoid when verifying the result of an expression?
A: Some common mistakes to avoid when verifying the result of an expression include:
- Choosing the wrong operation: Make sure to choose the correct operation to verify the result.
- Performing the verification operation incorrectly: Double-check your calculations to ensure that the verification operation is performed correctly.
- Not checking the result: Always check the result to confirm that it is correct.
Q: How do I know if the result obtained is correct?
A: To determine if the result obtained is correct, you need to perform the verification operation and check the result. If the result obtained matches the expected result, then the solution is correct. If not, you need to re-evaluate the expression to find the correct solution.
Q: Can I use any operation to verify the result of an expression?
A: No, you cannot use any operation to verify the result of an expression. You need to choose an operation that will help you verify the result. For example, if you are evaluating an expression with two numbers, you can divide the result by one of the numbers to see if you get the other number.
Q: How do I apply the concept of verifying the result of an expression in real-world scenarios?
A: The concept of verifying the result of an expression can be applied in various real-world scenarios, such as:
- Mathematics: Verifying the result of an expression is essential in mathematics, especially when working with algebraic expressions or equations.
- Science: In science, verifying the result of an experiment or calculation is crucial to ensure that the results are accurate and reliable.
- Engineering: In engineering, verifying the result of a calculation or simulation is essential to ensure that the design or system is safe and functional.
Q: What are some benefits of verifying the result of an expression?
A: Some benefits of verifying the result of an expression include:
- Ensuring accuracy: Verifying the result of an expression helps to ensure that the solution obtained is accurate and correct.
- Identifying errors: Verifying the result of an expression helps to identify any errors or mistakes made during the evaluation process.
- Improving problem-solving skills: Verifying the result of an expression helps to improve problem-solving skills by encouraging critical thinking and analysis.
Conclusion
Verifying the result of an expression is an essential skill in mathematics that has several real-world applications. By following the steps outlined in our previous article and answering the FAQs provided in this article, you can verify the result of an expression and ensure that the solution obtained is accurate and correct. Remember to choose the correct operation, perform the verification operation, and check the result to confirm the solution.