Calculate The Following Expression: 77.45 − 11.66 − 1.3333 = 77.45 - 11.66 - 1.3333 = 77.45 − 11.66 − 1.3333 = A. 66.34 B. 52.457 C. 52.453 D. 64.4567

Introduction

In this article, we will delve into the world of mathematics and explore the process of solving a simple expression. The expression in question is $77.45 - 11.66 - 1.3333$. We will break down the steps involved in solving this expression and provide a clear understanding of the mathematical operations involved.

Understanding the Expression

The given expression is a simple arithmetic expression that involves subtraction. We are required to subtract two numbers from a third number. The expression can be written as:

$77.45 - 11.66 - 1.3333$

Step 1: Subtract the First Number

The first step is to subtract the first number, $11.66$, from the initial number, $77.45$. This can be done by performing the subtraction operation.

$77.45 - 11.66 = 65.79$

Step 2: Subtract the Second Number

The next step is to subtract the second number, $1.3333$, from the result obtained in the previous step.

$65.79 - 1.3333 = 64.4567$

Conclusion

Based on the steps outlined above, we can conclude that the correct answer to the expression $77.45 - 11.66 - 1.3333$ is $64.4567$. This is the only option that matches the result obtained through the step-by-step process.

Why is this Important?

Understanding how to solve simple arithmetic expressions is crucial in various aspects of life, including mathematics, science, and engineering. It is essential to develop strong problem-solving skills, including the ability to break down complex problems into simpler components and solve them step by step.

Real-World Applications

The ability to solve simple arithmetic expressions has numerous real-world applications. For instance, in finance, it is essential to calculate the difference between two numbers to determine the profit or loss of a business. In science, it is crucial to perform calculations to determine the results of experiments.

Tips and Tricks

Here are some tips and tricks to help you solve simple arithmetic expressions:

• Break down complex problems into simpler components: This will make it easier to solve the problem step by step.
• Use the correct order of operations: This will ensure that you perform the operations in the correct order.
• Check your work: This will help you identify any errors and ensure that your answer is correct.

Conclusion

In conclusion, solving the expression $77.45 - 11.66 - 1.3333$ requires a step-by-step approach. By breaking down the problem into simpler components and performing the operations in the correct order, we can arrive at the correct answer. The ability to solve simple arithmetic expressions is crucial in various aspects of life, and it is essential to develop strong problem-solving skills to tackle complex problems.

Frequently Asked Questions

Q: What is the correct answer to the expression $77.45 - 11.66 - 1.3333$?

A: The correct answer is $64.4567$.

Q: Why is it essential to break down complex problems into simpler components?

A: Breaking down complex problems into simpler components makes it easier to solve the problem step by step.

Q: What is the correct order of operations to solve simple arithmetic expressions?

A: The correct order of operations is to perform the operations in the correct order, following the order of operations (PEMDAS).

Q: Why is it essential to check your work?

A: Checking your work helps you identify any errors and ensure that your answer is correct.

References

• [1] Khan Academy. (n.d.). Arithmetic Operations. Retrieved from https://www.khanacademy.org/math/arithmetic2-1/arithmetic-review
• [2] Mathway. (n.d.). Mathway. Retrieved from https://www.mathway.com/

Glossary

• Arithmetic Expression: A mathematical expression that involves arithmetic operations, such as addition, subtraction, multiplication, and division.
• Subtraction: A mathematical operation that involves finding the difference between two numbers.
• Order of Operations: A set of rules that dictate the order in which mathematical operations should be performed.
  Solving the Expression: A Step-by-Step Guide =====================================================

Q&A: Frequently Asked Questions

Q: What is the correct answer to the expression $77.45 - 11.66 - 1.3333$?

A: The correct answer is $64.4567$.

Q: Why is it essential to break down complex problems into simpler components?

A: Breaking down complex problems into simpler components makes it easier to solve the problem step by step. This approach helps to identify the individual components of the problem and solve them one by one, reducing the complexity of the problem.

Q: What is the correct order of operations to solve simple arithmetic expressions?

A: The correct order of operations is to perform the operations in the correct order, following the order of operations (PEMDAS). This means that you should perform the operations in the following order:

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

Q: Why is it essential to check your work?

A: Checking your work is essential to ensure that your answer is correct. This involves verifying that you have performed the operations correctly and that your answer matches the expected result.

Q: What are some common mistakes to avoid when solving simple arithmetic expressions?

A: Some common mistakes to avoid when solving simple arithmetic expressions include:

• Incorrect order of operations: Failing to follow the correct order of operations can lead to incorrect results.
• Rounding errors: Rounding numbers incorrectly can lead to incorrect results.
• Incorrect calculation: Failing to perform calculations correctly can lead to incorrect results.

Q: How can I improve my problem-solving skills?

A: Improving your problem-solving skills requires practice and patience. Here are some tips to help you improve your problem-solving skills:

• Practice regularly: Regular practice helps to develop your problem-solving skills and build your confidence.
• Break down complex problems: Breaking down complex problems into simpler components makes it easier to solve the problem step by step.
• Use the correct order of operations: Following the correct order of operations ensures that you perform the operations in the correct order.
• Check your work: Verifying your work ensures that your answer is correct.

Q: What are some real-world applications of solving simple arithmetic expressions?

A: Solving simple arithmetic expressions has numerous real-world applications, including:

• Finance: Calculating the difference between two numbers is essential in finance to determine the profit or loss of a business.
• Science: Performing calculations is crucial in science to determine the results of experiments.
• Engineering: Solving simple arithmetic expressions is essential in engineering to design and develop complex systems.

Q: How can I use technology to solve simple arithmetic expressions?

A: Technology can be used to solve simple arithmetic expressions in various ways, including:

• Calculators: Using a calculator can help to perform calculations quickly and accurately.
• Spreadsheets: Using a spreadsheet can help to perform calculations and analyze data.
• Online tools: Using online tools, such as math calculators, can help to perform calculations and solve problems.

Conclusion

In conclusion, solving the expression $77.45 - 11.66 - 1.3333$ requires a step-by-step approach. By breaking down the problem into simpler components and performing the operations in the correct order, we can arrive at the correct answer. The ability to solve simple arithmetic expressions is crucial in various aspects of life, and it is essential to develop strong problem-solving skills to tackle complex problems.

Frequently Asked Questions

Q: What is the correct answer to the expression $77.45 - 11.66 - 1.3333$?

A: The correct answer is $64.4567$.

Q: Why is it essential to break down complex problems into simpler components?

A: Breaking down complex problems into simpler components makes it easier to solve the problem step by step.

Q: What is the correct order of operations to solve simple arithmetic expressions?

A: The correct order of operations is to perform the operations in the correct order, following the order of operations (PEMDAS).

Q: Why is it essential to check your work?

A: Checking your work helps you identify any errors and ensure that your answer is correct.

References

• [1] Khan Academy. (n.d.). Arithmetic Operations. Retrieved from https://www.khanacademy.org/math/arithmetic2-1/arithmetic-review
• [2] Mathway. (n.d.). Mathway. Retrieved from https://www.mathway.com/

Glossary

• Arithmetic Expression: A mathematical expression that involves arithmetic operations, such as addition, subtraction, multiplication, and division.
• Subtraction: A mathematical operation that involves finding the difference between two numbers.
• Order of Operations: A set of rules that dictate the order in which mathematical operations should be performed.