Select The Best Answer For The Question.16. $(5+4-2) \times(-2) =$ ?$A. -22 B. -14 C. 22 D. 14

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Introduction

In this article, we will be solving a simple algebraic equation involving addition, subtraction, and multiplication. The equation is given as: $(5+4-2) \times(-2) = ?$

We will break down the solution into smaller steps, making it easy to understand and follow along. Our goal is to find the correct answer among the given options.

Step 1: Evaluate the Expression Inside the Parentheses

The first step is to evaluate the expression inside the parentheses: 5+4−25+4-2. To do this, we need to follow the order of operations (PEMDAS):

  1. Add 5 and 4: 5+4=95+4=9
  2. Subtract 2 from 9: 9−2=79-2=7

So, the expression inside the parentheses evaluates to 7.

Step 2: Multiply the Result by -2

Now that we have the result of the expression inside the parentheses, we can multiply it by -2:

7×(−2)=−147 \times (-2) = -14

Conclusion

Based on the step-by-step solution, we can conclude that the correct answer is:

B. -14

Why is this the correct answer?

The correct answer is -14 because we followed the order of operations and evaluated the expression inside the parentheses correctly. We then multiplied the result by -2, which gave us the final answer.

Common Mistakes to Avoid

When solving this type of equation, it's easy to make mistakes. Here are a few common mistakes to avoid:

  • Not following the order of operations (PEMDAS)
  • Not evaluating the expression inside the parentheses correctly
  • Not multiplying the result by the correct value

Practice Problems

If you want to practice solving similar equations, here are a few problems to try:

  • (3+2−1)×(−3)=?(3+2-1) \times (-3) = ?

  • (2+5−3)×(−2)=?(2+5-3) \times (-2) = ?

  • (4+1−2)×(−1)=?(4+1-2) \times (-1) = ?

Conclusion

In this article, we solved a simple algebraic equation involving addition, subtraction, and multiplication. We broke down the solution into smaller steps, making it easy to understand and follow along. Our goal was to find the correct answer among the given options. Based on the step-by-step solution, we concluded that the correct answer is -14. We also discussed common mistakes to avoid and provided practice problems for further practice.

Final Answer

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. PEMDAS stands for:

  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: Why is it important to follow the order of operations?

A: Following the order of operations is crucial to ensure that we get the correct answer. If we don't follow the order of operations, we may get a different answer, which can lead to errors and confusion.

Q: How do I evaluate expressions inside parentheses?

A: To evaluate expressions inside parentheses, we need to follow the order of operations (PEMDAS). We need to perform any operations inside the parentheses first, and then we can proceed with the rest of the expression.

Q: What is the difference between multiplication and division?

A: Multiplication and division are both operations that involve numbers, but they have different effects on the result. Multiplication involves adding a number a certain number of times, while division involves sharing a number into equal parts.

Q: How do I multiply a negative number by a positive number?

A: When we multiply a negative number by a positive number, the result is always negative. For example, -2 × 3 = -6.

Q: How do I multiply a positive number by a negative number?

A: When we multiply a positive number by a negative number, the result is always negative. For example, 2 × -3 = -6.

Q: What is the difference between addition and subtraction?

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

Q: How do I add a negative number to a positive number?

A: When we add a negative number to a positive number, the result is always negative. For example, 2 + (-3) = -1.

Q: How do I subtract a negative number from a positive number?

A: When we subtract a negative number from a positive number, the result is always positive. For example, 2 - (-3) = 5.

Q: What is the final answer to the original equation?

A: The final answer to the original equation is -14.

Q: Can I use a calculator to solve the equation?

A: Yes, you can use a calculator to solve the equation. However, it's always a good idea to understand the steps involved in solving the equation, so you can apply the same steps to similar equations in the future.

Q: How can I practice solving similar equations?

A: You can practice solving similar equations by trying out different problems on your own. You can also use online resources, such as math websites or apps, to practice solving equations.

Conclusion

In this article, we answered some frequently asked questions about solving equations. We covered topics such as the order of operations, evaluating expressions inside parentheses, and multiplying and dividing negative numbers. We also provided examples and practice problems to help you understand the concepts better.