Which Expression Correctly Represents The Problem?Evaluate The Expression: \[$(7 \times 5) - 3 = \square\$\]Options:1. 72. 83. 94. 45. 56. 67. 18. 29. 3

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Introduction

Mathematical expressions are a crucial part of mathematics, and understanding how to evaluate them correctly is essential for solving problems in various fields. In this article, we will focus on evaluating the expression: {(7 \times 5) - 3 = \square$}$ and determine which option correctly represents the problem.

Understanding the Order of Operations

Before we dive into the expression, it's essential to understand the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed. 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 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: {(7 \times 5) - 3 = \square$}$

  1. Parentheses: Evaluate the expression inside the parentheses first. In this case, we need to multiply 7 and 5.
  2. Multiplication: Multiply 7 and 5 to get 35.
  3. Subtraction: Subtract 3 from 35 to get 32.

Therefore, the correct answer is: 32

Analyzing the Options

Now that we have evaluated the expression, let's analyze the options:

  1. 72: This option is incorrect because it does not follow the order of operations.
  2. 83: This option is incorrect because it does not follow the order of operations.
  3. 94: This option is incorrect because it does not follow the order of operations.
  4. 45: This option is incorrect because it does not follow the order of operations.
  5. 56: This option is incorrect because it does not follow the order of operations.
  6. 67: This option is incorrect because it does not follow the order of operations.
  7. 18: This option is incorrect because it does not follow the order of operations.
  8. 29: This option is incorrect because it does not follow the order of operations.
  9. 3: This option is incorrect because it does not follow the order of operations.

Conclusion

In conclusion, the correct answer is 32, which is the result of evaluating the expression: {(7 \times 5) - 3 = \square$}$ using the order of operations.

Frequently Asked Questions

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. 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 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 a mathematical expression?

A: To evaluate a mathematical expression, follow the order of operations:

  1. Evaluate any expressions inside parentheses first.
  2. Evaluate any exponential expressions next.
  3. Evaluate any multiplication and division operations from left to right.
  4. Finally, evaluate any addition and subtraction operations from left to right.

Q: What is the correct answer to the expression: {(7 \times 5) - 3 = \square$}$?

A: The correct answer is 32, which is the result of evaluating the expression: {(7 \times 5) - 3 = \square$}$ using the order of operations.

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Introduction

Mathematical expressions are a crucial part of mathematics, and understanding how to evaluate them correctly is essential for solving problems in various fields. In this article, we will focus on evaluating the expression: {(7 \times 5) - 3 = \square$}$ and determine which option correctly represents the problem.

Understanding the Order of Operations

Before we dive into the expression, it's essential to understand the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed. 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 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: {(7 \times 5) - 3 = \square$}$

  1. Parentheses: Evaluate the expression inside the parentheses first. In this case, we need to multiply 7 and 5.
  2. Multiplication: Multiply 7 and 5 to get 35.
  3. Subtraction: Subtract 3 from 35 to get 32.

Therefore, the correct answer is: 32

Analyzing the Options

Now that we have evaluated the expression, let's analyze the options:

  1. 72: This option is incorrect because it does not follow the order of operations.
  2. 83: This option is incorrect because it does not follow the order of operations.
  3. 94: This option is incorrect because it does not follow the order of operations.
  4. 45: This option is incorrect because it does not follow the order of operations.
  5. 56: This option is incorrect because it does not follow the order of operations.
  6. 67: This option is incorrect because it does not follow the order of operations.
  7. 18: This option is incorrect because it does not follow the order of operations.
  8. 29: This option is incorrect because it does not follow the order of operations.
  9. 3: This option is incorrect because it does not follow the order of operations.

Conclusion

In conclusion, the correct answer is 32, which is the result of evaluating the expression: {(7 \times 5) - 3 = \square$}$ using the order of operations.

Frequently Asked Questions

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. 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 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 a mathematical expression?

A: To evaluate a mathematical expression, follow the order of operations:

  1. Evaluate any expressions inside parentheses first.
  2. Evaluate any exponential expressions next.
  3. Evaluate any multiplication and division operations from left to right.
  4. Finally, evaluate any addition and subtraction operations from left to right.

Q: What is the correct answer to the expression: {(7 \times 5) - 3 = \square$}$?

A: The correct answer is 32, which is the result of evaluating the expression: {(7 \times 5) - 3 = \square$}$ using the order of operations.

Q: What is the difference between addition and subtraction?

A: Addition and subtraction are both arithmetic operations that involve combining numbers. The main difference between addition and subtraction is that addition involves combining numbers to get a larger value, while subtraction involves combining numbers to get a smaller value.

Q: How do I handle parentheses in a mathematical expression?

A: When handling parentheses in a mathematical expression, you need to evaluate the expression inside the parentheses first. This means that you need to perform any operations inside the parentheses before moving on to the rest of the expression.

Q: What is the correct order of operations for the expression: {(2 + 3) \times 4 = \square$}$?

A: To evaluate the expression: {(2 + 3) \times 4 = \square$}$, you need to follow the order of operations:

  1. Evaluate the expression inside the parentheses: ${2 + 3 = 5\$}
  2. Multiply 5 by 4: ${5 \times 4 = 20\$}

Therefore, the correct answer is 20.

Q: What is the correct order of operations for the expression: {(10 - 2) \div 3 = \square$}$?

A: To evaluate the expression: {(10 - 2) \div 3 = \square$}$, you need to follow the order of operations:

  1. Evaluate the expression inside the parentheses: ${10 - 2 = 8\$}
  2. Divide 8 by 3: ${8 \div 3 = 2.67\$}

Therefore, the correct answer is 2.67.

Q: What is the correct order of operations for the expression: {(4 \times 2) + 1 = \square$}$?

A: To evaluate the expression: {(4 \times 2) + 1 = \square$}$, you need to follow the order of operations:

  1. Evaluate the expression inside the parentheses: ${4 \times 2 = 8\$}
  2. Add 1 to 8: ${8 + 1 = 9\$}

Therefore, the correct answer is 9.

Q: What is the correct order of operations for the expression: {(6 - 1) \times 2 = \square$}$?

A: To evaluate the expression: {(6 - 1) \times 2 = \square$}$, you need to follow the order of operations:

  1. Evaluate the expression inside the parentheses: ${6 - 1 = 5\$}
  2. Multiply 5 by 2: ${5 \times 2 = 10\$}

Therefore, the correct answer is 10.

Conclusion

In conclusion, understanding the order of operations is crucial for evaluating mathematical expressions correctly. By following the order of operations, you can ensure that you are performing mathematical operations in the correct order and getting the correct answer.