Evaluate The Expression: $300 + 90 + (2 - 8$\]

$$

Introduction

In mathematics, expressions are a combination of numbers, variables, and mathematical operations. Evaluating an expression involves simplifying it to a single value. In this article, we will evaluate the expression $300 + 90 + (2 - 8)$ using the order of operations (PEMDAS).

Understanding the Order of Operations

The order of operations is a set of rules that tells us which operations to perform first when there are multiple operations in an expression. PEMDAS is a mnemonic device that helps us remember the order of operations:

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next (e.g., 2^3).
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.

Evaluating the Expression

Now that we understand the order of operations, let's evaluate the expression $300 + 90 + (2 - 8)$.

Step 1: Evaluate the Expression Inside the Parentheses

The expression inside the parentheses is $2 - 8$. To evaluate this expression, we need to subtract 8 from 2.

$2 - 8 = -6$

So, the expression becomes $300 + 90 + (-6)$.

Step 2: Add 300 and 90

Next, we need to add 300 and 90.

$300 + 90 = 390$

So, the expression becomes $390 + (-6)$.

Step 3: Add 390 and -6

Finally, we need to add 390 and -6.

$390 + (-6) = 384$

Therefore, the value of the expression $300 + 90 + (2 - 8)$ is 384.

Conclusion

In this article, we evaluated the expression $300 + 90 + (2 - 8)$ using the order of operations (PEMDAS). We first evaluated the expression inside the parentheses, then added 300 and 90, and finally added 390 and -6. The value of the expression is 384.

Frequently Asked Questions

• What is the order of operations? The order of operations is a set of rules that tells us which operations to perform first when there are multiple operations in an expression. PEMDAS is a mnemonic device that helps us remember the order of operations.
• How do I evaluate an expression with parentheses? To evaluate an expression with parentheses, we need to evaluate the expression inside the parentheses first, then perform any operations outside the parentheses.
• What is the value of the expression $300 + 90 + (2 - 8)$? The value of the expression $300 + 90 + (2 - 8)$ is 384.

Related Topics

• Order of Operations (PEMDAS)
• Evaluating Expressions with Parentheses
• Basic Arithmetic Operations (Addition, Subtraction, Multiplication, Division)

Further Reading

• Khan Academy: Order of Operations
• Mathway: Evaluating Expressions with Parentheses
• Wolfram Alpha: Basic Arithmetic Operations
  

Introduction

Evaluating expressions is a fundamental concept in mathematics that involves simplifying a combination of numbers, variables, and mathematical operations to a single value. In this article, we will provide a Q&A guide to help you understand and evaluate expressions.

Q&A: Evaluating 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 there are multiple operations in an expression. PEMDAS is a mnemonic device that helps us remember the order of operations:

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next (e.g., 2^3).
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: How do I evaluate an expression with parentheses?

A: To evaluate an expression with parentheses, we need to evaluate the expression inside the parentheses first, then perform any operations outside the parentheses. For example, in the expression $300 + 90 + (2 - 8)$, we first evaluate the expression inside the parentheses: $2 - 8 = -6$. Then, we add 300 and 90: $300 + 90 = 390$. Finally, we add 390 and -6: $390 + (-6) = 384$.

Q: What is the value of the expression $300 + 90 + (2 - 8)$?

A: The value of the expression $300 + 90 + (2 - 8)$ is 384.

Q: How do I evaluate an expression with exponents?

A: To evaluate an expression with exponents, we need to evaluate the exponential expression first. For example, in the expression $2^3 + 5$, we first evaluate the exponential expression: $2^3 = 8$. Then, we add 8 and 5: $8 + 5 = 13$.

Q: What is the value of the expression $2^3 + 5$?

A: The value of the expression $2^3 + 5$ is 13.

Q: How do I evaluate an expression with multiple operations?

A: To evaluate an expression with multiple operations, we need to follow the order of operations. For example, in the expression $300 + 90 \times 2 - 8$, we first evaluate the multiplication operation: $90 \times 2 = 180$. Then, we add 300 and 180: $300 + 180 = 480$. Finally, we subtract 8: $480 - 8 = 472$.

Q: What is the value of the expression $300 + 90 \times 2 - 8$?

A: The value of the expression $300 + 90 \times 2 - 8$ is 472.

Conclusion

Evaluating expressions is a fundamental concept in mathematics that involves simplifying a combination of numbers, variables, and mathematical operations to a single value. By following the order of operations and understanding how to evaluate expressions with parentheses, exponents, and multiple operations, you can simplify complex expressions and arrive at the correct solution.

Frequently Asked Questions

• What is the order of operations?
• How do I evaluate an expression with parentheses?
• What is the value of the expression $300 + 90 + (2 - 8)$?
• How do I evaluate an expression with exponents?
• What is the value of the expression $2^3 + 5$?
• How do I evaluate an expression with multiple operations?
• What is the value of the expression $300 + 90 \times 2 - 8$?

Related Topics

• Order of Operations (PEMDAS)
• Evaluating Expressions with Parentheses
• Evaluating Expressions with Exponents
• Basic Arithmetic Operations (Addition, Subtraction, Multiplication, Division)

Further Reading

• Khan Academy: Order of Operations
• Mathway: Evaluating Expressions with Parentheses
• Wolfram Alpha: Basic Arithmetic Operations