Calculate The Value Of The Following Expression:$(88 - 9 \times 4) + 77 =$

Introduction

Mathematical expressions are a fundamental part of mathematics, and solving them is an essential skill for anyone who wants to excel in mathematics. In this article, we will focus on solving a specific mathematical expression: $(88 - 9 \times 4) + 77 =$. We will break down the expression into smaller parts, apply the order of operations, and finally arrive at the solution.

Understanding the Order of Operations

Before we dive into solving the expression, it's essential to understand the order of operations. The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The order of operations is often remembered using the acronym PEMDAS, which stands for:

1. Parentheses: Evaluate 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.

Breaking Down the Expression

Now that we understand the order of operations, let's break down the expression $(88 - 9 \times 4) + 77 =$.

The expression contains three main parts:

1. $88 - 9 \times 4$
2. $+ 77$

We will start by evaluating the first part of the expression, which is $88 - 9 \times 4$.

Evaluating the First Part of the Expression

To evaluate the first part of the expression, we need to follow the order of operations. We will start by evaluating the multiplication operation, which is $9 \times 4$.

$9 \times 4 = 36$

Now that we have evaluated the multiplication operation, we can substitute the result back into the expression.

$88 - 36$

Next, we will evaluate the subtraction operation.

$88 - 36 = 52$

So, the first part of the expression is equal to $52$.

Evaluating the Second Part of the Expression

Now that we have evaluated the first part of the expression, we can move on to the second part, which is $+ 77$.

To evaluate the second part of the expression, we need to add $77$ to the result of the first part.

$52 + 77 = 129$

So, the final result of the expression is $129$.

Conclusion

In this article, we solved a mathematical expression using the order of operations. We broke down the expression into smaller parts, evaluated each part, and finally arrived at the solution. The expression was $(88 - 9 \times 4) + 77 =$, and the final result was $129$. We hope that this article has provided you with a clear understanding of how to solve mathematical expressions using the order of operations.

Tips and Tricks

Here are some tips and tricks that you can use to help you solve mathematical expressions:

• Always follow the order of operations.
• Use parentheses to group expressions and make them easier to evaluate.
• Evaluate exponential expressions next.
• Evaluate multiplication and division operations from left to right.
• Finally, evaluate addition and subtraction operations from left to right.

By following these tips and tricks, you can become a master of solving mathematical expressions.

Common Mistakes to Avoid

Here are some common mistakes to avoid when solving mathematical expressions:

• Not following the order of operations.
• Not using parentheses to group expressions.
• Evaluating expressions from right to left instead of left to right.
• Not checking your work for errors.

By avoiding these common mistakes, you can ensure that your solutions are accurate and reliable.

Practice Problems

Here are some practice problems that you can use to help you improve your skills at solving mathematical expressions:

• $(24 - 3 \times 2) + 11 =$
• $(15 + 2 \times 3) - 7 =$
• $(36 - 9 \times 2) + 13 =$

Try solving these practice problems on your own, and then check your answers against the solutions provided below.

Solutions to Practice Problems

Here are the solutions to the practice problems:

• $(24 - 3 \times 2) + 11 =$
  • $3 \times 2 = 6$
  • $24 - 6 = 18$
  • $18 + 11 = 29$
  • The final answer is $29$.
• $(15 + 2 \times 3) - 7 =$
  • $2 \times 3 = 6$
  • $15 + 6 = 21$
  • $21 - 7 = 14$
  • The final answer is $14$.
• $(36 - 9 \times 2) + 13 =$
  • $9 \times 2 = 18$
  • $36 - 18 = 18$
  • $18 + 13 = 31$
  • The final answer is $31$.

We hope that these practice problems and solutions have helped you to improve your skills at solving mathematical expressions.

Conclusion

Introduction

In our previous article, we discussed how to solve mathematical expressions using the order of operations. We broke down the expression into smaller parts, evaluated each part, and finally arrived at the solution. In this article, we will provide a Q&A guide to help you understand the concepts and techniques involved in solving mathematical expressions.

Q: What is the order of operations?

A: The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The order of operations is often remembered using the acronym PEMDAS, which stands for:

1. Parentheses: Evaluate 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 important to follow the order of operations?

A: Following the order of operations is essential to ensure that mathematical expressions are evaluated correctly. If we don't follow the order of operations, we may get incorrect results.

Q: How do I use parentheses to group expressions?

A: To use parentheses to group expressions, simply place the expressions you want to group inside the parentheses. For example, if we have the expression $2 \times (3 + 4)$, we would group the expressions inside the parentheses first.

Q: What is the difference between multiplication and division?

A: Multiplication and division are both operations that involve numbers, but they have different rules. Multiplication involves multiplying two or more numbers together, while division involves dividing one number by another.

Q: How do I evaluate exponential expressions?

A: To evaluate exponential expressions, we need to raise the base number to the power of the exponent. For example, if we have the expression $2^3$, we would raise 2 to the power of 3, which equals 8.

Q: What is the difference between addition and subtraction?

A: Addition and subtraction are both operations that involve numbers, but they have different rules. Addition involves combining two or more numbers together, while subtraction involves finding the difference between two numbers.

Q: How do I evaluate addition and subtraction operations?

A: To evaluate addition and subtraction operations, we need to follow the order of operations. We should evaluate any multiplication and division operations first, and then evaluate any addition and subtraction operations from left to right.

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

A: Some common mistakes to avoid when solving mathematical expressions include:

• Not following the order of operations.
• Not using parentheses to group expressions.
• Evaluating expressions from right to left instead of left to right.
• Not checking your work for errors.

Q: How can I practice solving mathematical expressions?

A: You can practice solving mathematical expressions by working through practice problems and checking your answers against the solutions provided. You can also try solving real-world problems that involve mathematical expressions.

Q: What are some resources that can help me improve my skills at solving mathematical expressions?

A: Some resources that can help you improve your skills at solving mathematical expressions include:

• Online tutorials and videos.
• Practice problems and worksheets.
• Math textbooks and workbooks.
• Online communities and forums.

Conclusion

In conclusion, solving mathematical expressions is an essential skill for anyone who wants to excel in mathematics. By following the order of operations and using parentheses to group expressions, you can ensure that your solutions are accurate and reliable. We hope that this Q&A guide has provided you with a clear understanding of how to solve mathematical expressions using the order of operations.

Additional Resources

Here are some additional resources that can help you improve your skills at solving mathematical expressions:

• Khan Academy: Math
• Mathway: Math Problem Solver
• Wolfram Alpha: Math and Science Calculator
• MIT OpenCourseWare: Mathematics

We hope that these resources are helpful in your journey to become proficient in solving mathematical expressions.