As a professional teacher, it is important to help students understand mathematical concepts clearly. One common problem that students face is understanding and solving equations such as "2x 8 2 x 4". In this article, we will provide a step-by-step explanation of this equation and offer a solution to help students solve it with ease.
Understanding the Equation
The equation "2x 8 2 x 4" consists of three parts - "2x", "8" and "2 x 4". The "2x" represents a variable multiplied by 2, the "8" represents a constant value and "2 x 4" represents the product of two constants.
Order of Operations
To solve this equation, we must follow the order of operations, which is commonly known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. We must perform the operations in this order to get the correct answer.
Solution Steps
Let's break down the solution steps for "2x 8 2 x 4" using PEMDAS.
Step 1: Parentheses
As there are no parentheses in this equation, we can move on to the next step.
Step 2: Exponents
Again, there are no exponents in this equation, so we can skip this step.
Step 3: Multiplication and Division
We must perform multiplication and division from left to right. Therefore, we begin with "2x", which is multiplied by 2. This gives us "4x". Now we move onto "2 x 4", which gives us 8.
Step 4: Addition and Subtraction
Finally, we add the result of the multiplication and division steps. Therefore, we have 4x + 8.
Final Answer
The final answer to "2x 8 2 x 4" is 4x + 8.
Conclusion
In conclusion, solving equations like "2x 8 2 x 4" requires a clear understanding of the order of operations. It is important to follow the steps in the correct order to arrive at the correct answer. By providing a step-by-step explanation and solution, we hope that students can understand and solve similar equations with ease.
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