Select The Correct Answer.Use A Calculator To Solve This Problem: 28 + 27 × 36 28 + 27 \times 36 28 + 27 × 36 A. 792 B. 1000 C. 1980
Understanding the Order of Operations
When solving mathematical problems, it's essential to follow the order of operations, which is a set of rules that dictate the order in which operations should be performed. The acronym PEMDAS is commonly used to remember the order of operations:
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Applying the Order of Operations to the Problem
In the given problem, , we need to follow the order of operations to find the correct answer. The first step is to evaluate the multiplication operation, which is . This operation should be performed before adding 28 to the result.
Calculating the Multiplication Operation
To calculate the multiplication operation, we multiply 27 by 36:
27 × 36 = 972
Adding 28 to the Result
Now that we have the result of the multiplication operation, we can add 28 to it:
972 + 28 = 1000
Conclusion
Based on the order of operations, we have correctly solved the problem by first evaluating the multiplication operation and then adding 28 to the result. The correct answer is:
A. 1000
Why the Other Options are Incorrect
Let's examine why the other options are incorrect:
- Option B is incorrect because it is not the result of the multiplication operation.
- Option C is incorrect because it is not the result of adding 28 to the multiplication operation.
Real-World Applications of the Order of Operations
The order of operations is a fundamental concept in mathematics that has numerous real-world applications. In finance, for example, the order of operations is used to calculate interest rates and investment returns. In science, the order of operations is used to calculate complex mathematical expressions that describe physical phenomena.
Tips for Solving Similar Problems
When solving similar problems, remember to follow the order of operations and evaluate expressions inside parentheses first. Use a calculator to check your work and ensure that you have obtained the correct result.
Common Mistakes to Avoid
When solving mathematical problems, it's essential to avoid common mistakes such as:
- Not following the order of operations
- Not evaluating expressions inside parentheses first
- Not using a calculator to check your work
By following the order of operations and avoiding common mistakes, you can ensure that you obtain the correct result and develop a strong foundation in mathematics.
Conclusion
In conclusion, the correct answer to the problem is A. 1000. By following the order of operations and evaluating expressions inside parentheses first, we can ensure that we obtain the correct result. Remember to use a calculator to check your work and avoid common mistakes such as not following the order of operations.
Q: What is the order of operations?
A: The order of operations is a set of rules that dictate the order in which operations should be performed when solving mathematical problems. The acronym PEMDAS is commonly used to remember the order of operations:
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Q: Why is it essential to follow the order of operations?
A: Following the order of operations is essential to ensure that mathematical problems are solved correctly. If the order of operations is not followed, the result may be incorrect, which can lead to errors in calculations and decision-making.
Q: How do I apply the order of operations to a mathematical problem?
A: To apply the order of operations to a mathematical problem, follow these steps:
- Evaluate expressions inside parentheses first.
- Evaluate any exponential expressions next.
- Evaluate multiplication and division operations from left to right.
- Finally, evaluate any addition and subtraction operations from left to right.
Q: What is the difference between multiplication and division?
A: Multiplication and division are both operations that involve numbers, but they have different meanings. Multiplication involves adding a number a certain number of times, while division involves sharing a number into equal parts.
Q: How do I evaluate expressions inside parentheses?
A: To evaluate expressions inside parentheses, follow these steps:
- Evaluate any expressions inside the parentheses first.
- Evaluate any exponential expressions next.
- Evaluate multiplication and division operations from left to right.
- Finally, evaluate any addition and subtraction operations from left to right.
Q: What is the difference between addition and subtraction?
A: Addition and subtraction are both operations that involve numbers, but they have different meanings. Addition involves combining two or more numbers, while subtraction involves finding the difference between two numbers.
Q: How do I use a calculator to check my work?
A: To use a calculator to check your work, follow these steps:
- Enter the mathematical expression into the calculator.
- Press the equals button to calculate the result.
- Compare the result to your manual calculation to ensure that they are the same.
Q: What are some common mistakes to avoid when solving mathematical problems?
A: Some common mistakes to avoid when solving mathematical problems include:
- Not following the order of operations
- Not evaluating expressions inside parentheses first
- Not using a calculator to check your work
- Not double-checking your calculations for errors
Q: How can I improve my math skills?
A: To improve your math skills, follow these tips:
- Practice regularly to build your confidence and fluency.
- Review and practice different types of math problems to build your understanding.
- Use online resources and math apps to supplement your learning.
- Seek help from a teacher or tutor if you are struggling with a particular concept.
Q: What are some real-world applications of math?
A: Math has numerous real-world applications, including:
- Finance: Math is used to calculate interest rates, investment returns, and financial risk.
- Science: Math is used to describe physical phenomena, model complex systems, and make predictions.
- Engineering: Math is used to design and optimize systems, structures, and processes.
- Computer Science: Math is used to develop algorithms, model complex systems, and optimize performance.
Q: How can I use math to solve real-world problems?
A: To use math to solve real-world problems, follow these steps:
- Identify the problem and the variables involved.
- Develop a mathematical model to describe the problem.
- Use math to analyze and solve the problem.
- Evaluate the results and make recommendations for improvement.
Conclusion
In conclusion, solving mathematical problems requires a strong understanding of the order of operations, as well as the ability to apply math to real-world problems. By following the order of operations and using math to analyze and solve problems, you can develop a strong foundation in math and improve your problem-solving skills.