280,8 : 12-0,3 * 24=

Understanding the Problem

To solve the given problem, we need to follow the order of operations (PEMDAS) and evaluate the expression step by step. The expression is 280,8 : 12-0,3 * 24. We will start by simplifying the expression inside the parentheses.

Simplifying the Expression Inside the Parentheses

The expression inside the parentheses is 12-0,3. To simplify this, we need to subtract 0.3 from 12.

12 - 0.3 = 11.7

Replacing the Expression Inside the Parentheses

Now that we have simplified the expression inside the parentheses, we can replace it in the original expression.

280,8 : 11.7 * 24

Following the Order of Operations

Next, we need to follow the order of operations (PEMDAS). The expression contains division and multiplication. We need to perform the division first and then the multiplication.

Performing the Division

To perform the division, we need to divide 280.8 by 11.7.

280.8 ÷ 11.7 = 24

Replacing the Division Result

Now that we have performed the division, we can replace the result in the expression.

24 * 24

Performing the Multiplication

Finally, we need to perform the multiplication.

24 * 24 = 576

Conclusion

Therefore, the final result of the expression 280,8 : 12-0,3 * 24 is 576.

Algebraic Explanation

In algebra, the given expression can be represented as a mathematical equation.

280.8 / (12 - 0.3) * 24 = x

To solve for x, we need to follow the order of operations and simplify the expression.

First, we simplify the expression inside the parentheses.

12 - 0.3 = 11.7

Next, we replace the expression inside the parentheses in the original equation.

280.8 / 11.7 * 24 = x

Now, we perform the division.

280.8 ÷ 11.7 = 24

Next, we replace the division result in the equation.

24 * 24 = x

Finally, we perform the multiplication.

24 * 24 = 576

Therefore, the final result of the expression is 576.

Real-World Applications

The given expression has real-world applications in various fields such as finance, engineering, and science. For example, in finance, the expression can be used to calculate the interest rate on a loan. In engineering, the expression can be used to calculate the stress on a material. In science, the expression can be used to calculate the velocity of an object.

Tips and Tricks

To solve the given expression, we need to follow the order of operations (PEMDAS). We need to perform the division first and then the multiplication. We also need to simplify the expression inside the parentheses before replacing it in the original expression.

Common Mistakes

One common mistake that people make when solving the given expression is not following the order of operations (PEMDAS). They may perform the multiplication first and then the division, which can lead to incorrect results.

Conclusion

In conclusion, the given expression 280,8 : 12-0,3 * 24 can be solved by following the order of operations (PEMDAS) and simplifying the expression inside the parentheses. The final result of the expression is 576.