Compute: \[$(4+9)-\frac{3(6)}{2}+8\$\]A. 38 B. 12 C. 11.2 D. 4

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Understanding the Expression

To compute the given expression, we need to follow the order of operations (PEMDAS):

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.

Breaking Down the Expression

Let's break down the given expression into smaller parts:

• Inside the Parentheses: ${4+9}$
• Inside the Fraction: ${\frac{3(6)}{2}}$
• The Final Expression: ${(4+9)-\frac{3(6)}{2}+8}$

Computing the Expression

Inside the Parentheses:

${4+9 = 13}$

Inside the Fraction:

${\frac{3(6)}{2} = \frac{18}{2} = 9}$

The Final Expression:

${(4+9)-\frac{3(6)}{2}+8 = 13 - 9 + 8}$

Evaluating the Expression:

${13 - 9 + 8 = 12}$

Conclusion

The final answer to the given expression is 12.

Key Takeaways

• The order of operations (PEMDAS) is crucial in evaluating mathematical expressions.
• Parentheses, exponents, multiplication and division, and addition and subtraction should be evaluated in that order.
• Breaking down complex expressions into smaller parts can make them easier to evaluate.

Additional Examples

• Compute: ${\frac{12}{3} + 8 - 2}$
• Compute: ${9 - 3(2) + 5}$

Practice Problems

• Compute: ${(7+2)-\frac{4(9)}{3}+6}$
• Compute: ${\frac{15}{5} + 8 - 3}$

Solutions

• Compute: ${(7+2)-\frac{4(9)}{3}+6 = 9 - 12 + 6 = 3}$
• Compute: ${\frac{15}{5} + 8 - 3 = 3 + 8 - 3 = 8}$
  Compute: {(4+9)-\frac{3(6)}{2}+8$}$ Q&A =====================================================

Frequently Asked Questions

Q: What is the order of operations (PEMDAS)?

A: The order of operations (PEMDAS) is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The acronym PEMDAS 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 expressions inside parentheses?

A: To evaluate expressions inside parentheses, we need to follow the order of operations (PEMDAS). We should evaluate any exponential expressions, multiplication and division operations, and 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 meanings. Multiplication involves adding a number a certain number of times, while division involves sharing a number into equal groups.

Q: How do I evaluate fractions?

A: To evaluate fractions, we need to follow the order of operations (PEMDAS). We should evaluate any exponential expressions, multiplication and division operations, and addition and subtraction operations from left to right.

Q: What is the final answer to the given expression?

A: The final answer to the given expression is 12.

Q: Can you provide additional examples of expressions to compute?

A: Here are a few examples:

• Compute: ${\frac{12}{3} + 8 - 2}$
• Compute: ${9 - 3(2) + 5}$

Q: Can you provide solutions to the additional examples?

A: Here are the solutions:

• Compute: ${\frac{12}{3} + 8 - 2 = 4 + 8 - 2 = 10}$
• Compute: ${9 - 3(2) + 5 = 9 - 6 + 5 = 8}$

Q: Can you provide practice problems to help me improve my skills?

A: Here are a few practice problems:

• Compute: ${(7+2)-\frac{4(9)}{3}+6}$
• Compute: ${\frac{15}{5} + 8 - 3}$

Q: Can you provide solutions to the practice problems?

A: Here are the solutions:

• Compute: ${(7+2)-\frac{4(9)}{3}+6 = 9 - 12 + 6 = 3}$
• Compute: ${\frac{15}{5} + 8 - 3 = 3 + 8 - 3 = 8}$

Conclusion

Computing expressions can be challenging, but with practice and patience, you can become proficient in evaluating even the most complex expressions. Remember to follow the order of operations (PEMDAS) and break down complex expressions into smaller parts. With these tips and practice problems, you'll be well on your way to becoming a math whiz!