Calculate The Result Of The Following Expression: 10.8 + ( − 4.73 10.8 + (-4.73 10.8 + ( − 4.73 ]

Introduction

In mathematics, expressions are used to represent a combination of numbers, variables, and mathematical operations. Calculating the result of a mathematical expression involves following the order of operations, which dictates the sequence in which operations should be performed. In this article, we will calculate the result of the expression $10.8 + (-4.73)$.

Understanding the Expression

The given expression is $10.8 + (-4.73)$. This expression consists of two numbers: $10.8$ and $-4.73$. The first number is a positive decimal, while the second number is a negative decimal. The expression also includes the addition operation, which means we need to add the two numbers together.

Order of Operations

When calculating the result of a mathematical expression, it is essential to follow the order of operations. The order of operations is a set of rules that dictates the sequence in which operations should be performed. The order of operations is as follows:

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
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.

In the given expression, there are no parentheses, exponents, multiplication, or division operations. Therefore, we can proceed to the final step, which is to add the two numbers together.

Calculating the Result

To calculate the result of the expression $10.8 + (-4.73)$, we need to add the two numbers together. When adding two numbers, we can simply add their decimal parts together.

$10.8 + (-4.73) = 10.8 + (-4.73)$

To add the decimal parts, we can align the decimal points and add the numbers as follows:

$10.8$ $-4.73$

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$6.07$

Therefore, the result of the expression $10.8 + (-4.73)$ is $6.07$.

Conclusion

In this article, we calculated the result of the expression $10.8 + (-4.73)$. We followed the order of operations and added the two numbers together to obtain the final result. The result of the expression is $6.07$. This example demonstrates the importance of following the order of operations when calculating the result of a mathematical expression.

Example Use Cases

The expression $10.8 + (-4.73)$ can be used in various real-world scenarios, such as:

• Calculating the total cost of an item after applying a discount
• Determining the balance of a bank account after a withdrawal
• Finding the result of a mathematical problem in a scientific or engineering context

Tips and Tricks

When calculating the result of a mathematical expression, it is essential to follow the order of operations. This ensures that the correct sequence of operations is performed, and the final result is accurate. Additionally, when working with decimal numbers, it is crucial to align the decimal points and add the numbers carefully to avoid errors.

Common Mistakes

When calculating the result of a mathematical expression, some common mistakes to avoid include:

• Failing to follow the order of operations
• Not aligning the decimal points when adding decimal numbers
• Making errors when performing addition and subtraction operations

By following the order of operations and avoiding common mistakes, you can ensure that your calculations are accurate and reliable.

Conclusion

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Introduction

In our previous article, we calculated the result of the expression $10.8 + (-4.73)$. In this article, we will answer some frequently asked questions related to calculating the result of a mathematical expression.

Q: What is the order of operations?

A: The order of operations is a set of rules that dictates the sequence in which operations should be performed. The order of operations is as follows:

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
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 ensures that the correct sequence of operations is performed, and the final result is accurate. If the order of operations is not followed, the result of the expression may be incorrect.

Q: How do I calculate the result of an expression with multiple operations?

A: To calculate the result of an expression with multiple operations, follow the order of operations. First, evaluate any expressions inside parentheses. Next, evaluate any exponential expressions. Then, evaluate any multiplication and division operations from left to right. Finally, evaluate any addition and subtraction operations from left to right.

Q: What is the difference between addition and subtraction?

A: Addition and subtraction are both arithmetic operations that involve combining numbers. However, addition involves combining numbers by adding their values, while subtraction involves combining numbers by subtracting one value from another.

Q: How do I handle negative numbers in a mathematical expression?

A: When working with negative numbers in a mathematical expression, remember that a negative number is simply a number with a negative sign. When adding or subtracting negative numbers, remember to change the sign of the result.

Q: What is the result of the expression $10.8 + (-4.73)$?

A: The result of the expression $10.8 + (-4.73)$ is $6.07$.

Q: Can I use a calculator to calculate the result of a mathematical expression?

A: Yes, you can use a calculator to calculate the result of a mathematical expression. However, it is essential to follow the order of operations and ensure that the calculator is set to the correct mode (e.g., decimal or fraction).

Q: How do I check my work when calculating the result of a mathematical expression?

A: To check your work when calculating the result of a mathematical expression, follow these steps:

1. Write down the expression and the result.
2. Check that the result is correct by plugging it back into the expression.
3. Verify that the result is accurate by using a calculator or another method.

Q: What are some common mistakes to avoid when calculating the result of a mathematical expression?

A: Some common mistakes to avoid when calculating the result of a mathematical expression include:

• Failing to follow the order of operations
• Not aligning the decimal points when adding decimal numbers
• Making errors when performing addition and subtraction operations
• Not checking the result for accuracy

Conclusion

In conclusion, calculating the result of a mathematical expression involves following the order of operations and performing the necessary operations. By following the order of operations and avoiding common mistakes, you can ensure that your calculations are accurate and reliable.