Solve The Following Equation: ${ 28 \div 7 + 2 \times 3 = ? }$A) 24 B) 12 C) 10 D) 18

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Introduction

Mathematics is a fundamental subject that plays a crucial role in our daily lives. It is used in various fields such as science, technology, engineering, and mathematics (STEM), finance, economics, and many more. In mathematics, equations are used to represent relationships between variables, and solving them is an essential skill that every individual should possess. In this article, we will focus on solving a simple equation: 28 ÷ 7 + 2 × 3 = ?. We will break down the equation step by step and provide a clear explanation of the solution.

Understanding the Equation

The given equation is 28 ÷ 7 + 2 × 3 = ?. To solve this equation, we need to follow the order of operations (PEMDAS):

  1. Parentheses: None
  2. Exponents: None
  3. Multiplication and Division: From left to right
  4. Addition and Subtraction: From left to right

Step 1: Divide 28 by 7

The first step is to divide 28 by 7. This operation will give us the result of the division.

28 ÷ 7 = 4

Step 2: Multiply 2 by 3

The next step is to multiply 2 by 3. This operation will give us the result of the multiplication.

2 × 3 = 6

Step 3: Add 4 and 6

The final step is to add 4 and 6. This operation will give us the result of the equation.

4 + 6 = 10

Conclusion

In conclusion, the solution to the equation 28 ÷ 7 + 2 × 3 = ? is 10. This equation is a simple example of how to apply the order of operations to solve a mathematical problem. By following the steps outlined above, we can easily solve the equation and arrive at the correct answer.

Importance of Solving Equations

Solving equations is an essential skill in mathematics that has numerous applications in real-life situations. It helps us to:

  • Understand relationships between variables
  • Make predictions and forecasts
  • Optimize systems and processes
  • Solve problems in various fields such as science, technology, engineering, and mathematics (STEM), finance, economics, and many more

Tips for Solving Equations

Here are some tips for solving equations:

  • Always follow the order of operations (PEMDAS)
  • Use parentheses to group numbers and variables
  • Simplify expressions before solving the equation
  • Check your work by plugging in the solution back into the equation

Common Mistakes to Avoid

Here are some common mistakes to avoid when solving equations:

  • Not following the order of operations (PEMDAS)
  • Not simplifying expressions before solving the equation
  • Not checking your work by plugging in the solution back into the equation
  • Not using parentheses to group numbers and variables

Real-Life Applications of Solving Equations

Solving equations has numerous real-life applications in various fields such as:

  • Science: Solving equations helps us to understand relationships between variables and make predictions and forecasts.
  • Technology: Solving equations is used in computer programming, data analysis, and algorithm design.
  • Engineering: Solving equations is used in designing and optimizing systems and processes.
  • Finance: Solving equations is used in financial modeling, forecasting, and risk analysis.
  • Economics: Solving equations is used in economic modeling, forecasting, and policy analysis.

Conclusion

In conclusion, solving equations is an essential skill in mathematics that has numerous applications in real-life situations. By following the order of operations (PEMDAS) and using parentheses to group numbers and variables, we can easily solve equations and arrive at the correct answer. Remember to simplify expressions before solving the equation and check your work by plugging in the solution back into the equation. With practice and patience, you can become proficient in solving equations and apply them to real-life situations.

Final Answer

The final answer to the equation 28 ÷ 7 + 2 × 3 = ? is 10.

Introduction

In our previous article, we solved the equation 28 ÷ 7 + 2 × 3 = ? and arrived at the correct answer of 10. However, we received many questions from readers who wanted to know more about solving equations and how to apply them to real-life situations. In this article, we will answer some of the most frequently asked questions about solving equations.

Q&A

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 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 because it ensures that we perform operations in the correct order and avoid errors. If we don't follow the order of operations, we may get incorrect answers.

Q: How do I simplify expressions before solving the equation?

A: To simplify expressions, we need to combine like terms and eliminate any unnecessary operations. For example, if we have the expression 2x + 3x, we can simplify it by combining the like terms: 2x + 3x = 5x.

Q: What is the difference between a variable and a constant?

A: A variable is a letter or symbol that represents a value that can change, while a constant is a value that remains the same.

Q: How do I check my work by plugging in the solution back into the equation?

A: To check your work, plug the solution back into the original equation and see if it is true. For example, if we solve the equation 2x + 5 = 11 and get x = 3, we can plug x = 3 back into the original equation to check our work: 2(3) + 5 = 11, which is true.

Q: What are some common mistakes to avoid when solving equations?

A: Some common mistakes to avoid when solving equations include:

  • Not following the order of operations (PEMDAS)
  • Not simplifying expressions before solving the equation
  • Not checking your work by plugging in the solution back into the equation
  • Not using parentheses to group numbers and variables

Q: How do I apply solving equations to real-life situations?

A: Solving equations has numerous applications in real-life situations, including:

  • Science: Solving equations helps us to understand relationships between variables and make predictions and forecasts.
  • Technology: Solving equations is used in computer programming, data analysis, and algorithm design.
  • Engineering: Solving equations is used in designing and optimizing systems and processes.
  • Finance: Solving equations is used in financial modeling, forecasting, and risk analysis.
  • Economics: Solving equations is used in economic modeling, forecasting, and policy analysis.

Conclusion

In conclusion, solving equations is an essential skill in mathematics that has numerous applications in real-life situations. By following the order of operations (PEMDAS) and using parentheses to group numbers and variables, we can easily solve equations and arrive at the correct answer. Remember to simplify expressions before solving the equation and check your work by plugging in the solution back into the equation. With practice and patience, you can become proficient in solving equations and apply them to real-life situations.

Final Answer

The final answer to the equation 28 ÷ 7 + 2 × 3 = ? is 10.