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 correct and accurate. 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 proceed with verifying the result, let's understand the expression {-108 + (-6)$}$. This expression involves adding two negative numbers, {-108$}$ and {-6$}$. When adding negative numbers, we need to follow the rules of arithmetic operations.
Step 1: Evaluate the Expression
To verify the result, we first need to evaluate the expression {-108 + (-6)$}$. We can do this by following the order of operations (PEMDAS):
- Add {-108$}$ and {-6$}$.
- The result is {-114$}$.
Step 2: Verify the Result
Now that we have evaluated the expression, we need to verify the result. To do this, we can use the following steps:
Option A: Divide the Answer by {-6$}$
One way to verify the result is to divide the answer by {-6$}$ and see if the result is {-108$}$.
- Step 1: Divide {-114$}$ by {-6$}$.
- Step 2: The result is {-19$}$.
- Step 3: Compare the result with {-108$}$. Since {-19$}$ is not equal to {-108$}$, this option is incorrect.
Option B: Divide the Answer by {-108$}$
Another way to verify the result is to divide the answer by {-108$}$ and see if the result is {-1$}$.
- Step 1: Divide {-114$}$ by {-108$}$.
- Step 2: The result is {-1.05$}$.
- Step 3: Compare the result with {-1$}$. Since {-1.05$}$ is not equal to {-1$}$, this option is also incorrect.
Conclusion
In 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 correct and accurate. Remember to always evaluate the expression first and then verify the result using the correct method.
Common Mistakes to Avoid
When verifying the result of an expression, there are several common mistakes to avoid:
- Incorrect division: Make sure to divide the answer by the correct number.
- Incorrect comparison: Compare the result with the correct value.
- Not following the order of operations: Make sure to follow the order of operations (PEMDAS) when evaluating the expression.
Real-World Applications
Verifying the result of an expression has several real-world applications, including:
- Financial calculations: Verifying the result of an expression is essential in financial calculations, such as calculating interest rates or investment returns.
- Scientific calculations: Verifying the result of an expression is also essential in scientific calculations, such as calculating the trajectory of a projectile or the behavior of a complex system.
- Engineering calculations: Verifying the result of an expression is essential in engineering calculations, such as designing a bridge or a building.
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 correct and accurate. This is essential in mathematics, as small errors can lead to significant consequences.
Q: How do I verify the result of an expression?
A: To verify the result of an expression, you need to follow the steps outlined in our previous article. First, evaluate the expression, and then verify the result using the correct method.
Q: What are the 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:
- Incorrect division: Make sure to divide the answer by the correct number.
- Incorrect comparison: Compare the result with the correct value.
- Not following the order of operations: Make sure to follow the order of operations (PEMDAS) when evaluating the expression.
Q: What are the real-world applications of verifying the result of an expression?
A: Verifying the result of an expression has several real-world applications, including:
- Financial calculations: Verifying the result of an expression is essential in financial calculations, such as calculating interest rates or investment returns.
- Scientific calculations: Verifying the result of an expression is also essential in scientific calculations, such as calculating the trajectory of a projectile or the behavior of a complex system.
- Engineering calculations: Verifying the result of an expression is essential in engineering calculations, such as designing a bridge or a building.
Q: How do I know if my answer is correct?
A: To determine if your answer is correct, you need to verify the result of the expression using the correct method. If the result matches the expected value, then your answer is correct.
Q: What if I get a different answer than expected?
A: If you get a different answer than expected, it may indicate that there is an error in your calculation. In this case, you need to re-evaluate the expression and verify the result again.
Conclusion
In conclusion, verifying the result of an expression is an essential skill in mathematics. By following the steps outlined in our previous article and answering the FAQs in this article, you can verify the result of an expression and ensure that the solution obtained is correct and accurate.
Additional Resources
For more information on verifying the result of an expression, you can refer to the following resources:
- Math textbooks: Consult a math textbook for a comprehensive guide on verifying the result of an expression.
- Online resources: Visit online resources, such as Khan Academy or Mathway, for interactive tutorials and examples on verifying the result of an expression.
- Math tutors: Consider hiring a math tutor for personalized guidance on verifying the result of an expression.
Final Thoughts
In conclusion, verifying the result of an expression is an essential skill in mathematics. By following the steps outlined in our previous article and answering the FAQs in this article, you can verify the result of an expression and ensure that the solution obtained is correct and accurate. Remember to always evaluate the expression first and then verify the result using the correct method.