Evaluate The Expression: 3 + 2 × 4 = ? 3 + 2 \times 4 = ? 3 + 2 × 4 = ? A. 20 B. 11 C. $\square$

Introduction

In mathematics, the order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. The order of operations is often remembered using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In this article, we will evaluate the expression $3 + 2 \times 4 = ?$ using the order of operations.

Understanding the Order of Operations

The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. The order of operations is as follows:

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.

Evaluating the Expression

Now that we understand the order of operations, let's evaluate the expression $3 + 2 \times 4 = ?$. To do this, we will follow the order of operations.

First, we will evaluate the multiplication operation: $2 \times 4 = 8$. This is because multiplication comes before addition in the order of operations.

Next, we will add 3 to the result of the multiplication operation: $3 + 8 = 11$.

Therefore, the final answer to the expression $3 + 2 \times 4 = ?$ is 11.

Conclusion

In this article, we evaluated the expression $3 + 2 \times 4 = ?$ using the order of operations. We followed the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. By following the order of operations, we were able to determine that the final answer to the expression is 11.

Frequently Asked Questions

• What is the order of operations? The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression.
• What is the acronym PEMDAS? PEMDAS is an acronym that stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
• How do I evaluate an expression using the order of operations? To evaluate an expression using the order of operations, follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Additional Resources

• Khan Academy: Order of Operations
• Mathway: Order of Operations
• Wolfram Alpha: Order of Operations

Final Answer

The final answer to the expression $3 + 2 \times 4 = ?$ is 11.

Introduction

The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. In this article, we will answer some frequently asked questions about the order of operations.

Q&A

Q: What is the order of operations?

A: The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. The order of operations is often remembered using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Q: What is the acronym PEMDAS?

A: PEMDAS is an acronym that stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). It is often used to remember the order of operations.

Q: How do I evaluate an expression using the order of operations?

A: To evaluate an expression using the order of operations, follow the order of operations:

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: What is the difference between multiplication and division?

A: Multiplication and division are both operations that involve numbers, but they have different rules. Multiplication is a commutative operation, which means that the order of the numbers does not change the result. Division is a non-commutative operation, which means that the order of the numbers does change the result.

Q: How do I handle parentheses in an expression?

A: When there are parentheses in an expression, evaluate the expression inside the parentheses first. This means that you should follow the order of operations inside the parentheses before moving on to the rest of the expression.

Q: What is the order of operations for fractions?

A: The order of operations for fractions is the same as for whole numbers. Evaluate any expressions inside parentheses first, then evaluate any exponential expressions, followed by any multiplication and division operations, and finally any addition and subtraction operations.

Q: Can I use the order of operations for decimals?

A: Yes, you can use the order of operations for decimals. The order of operations is the same for decimals as it is for whole numbers and fractions.

Q: How do I handle negative numbers in an expression?

A: When there are negative numbers in an expression, follow the order of operations as usual. Negative numbers are treated as any other number in the order of operations.

Q: Can I use the order of operations for algebraic expressions?

A: Yes, you can use the order of operations for algebraic expressions. The order of operations is the same for algebraic expressions as it is for numerical expressions.

Conclusion

In this article, we answered some frequently asked questions about the order of operations. The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. By following the order of operations, you can evaluate expressions accurately and efficiently.

Additional Resources

• Khan Academy: Order of Operations
• Mathway: Order of Operations
• Wolfram Alpha: Order of Operations

Final Answer

The final answer to the question "What is the order of operations?" is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).