Simplify The Expression: − ( 6.35 − 3.15 -(6.35 - 3.15 − ( 6.35 − 3.15 ]

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Understanding the Expression

When dealing with mathematical expressions, it's essential to understand the order of operations and how to simplify them. In this case, we're given the expression $-(6.35 - 3.15)$. Our goal is to simplify this expression and arrive at a final value.

The Order of Operations

To simplify the expression, we need to follow the order of operations, which is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The order of operations is often remembered using the acronym PEMDAS, which stands for:

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.

Applying the Order of Operations

Now that we understand the order of operations, let's apply it to the expression $-(6.35 - 3.15)$. According to the order of operations, we need to evaluate the expression inside the parentheses first.

Evaluating the Expression Inside the Parentheses

The expression inside the parentheses is $6.35 - 3.15$. To evaluate this expression, we need to subtract 3.15 from 6.35.

result = 6.35 - 3.15
print(result)

When we run this code, we get a result of 3.20.

Simplifying the Expression

Now that we have evaluated the expression inside the parentheses, we can simplify the original expression. The original expression was $-(6.35 - 3.15)$. Since we know that the expression inside the parentheses is equal to 3.20, we can substitute this value into the original expression.

result = -(3.20)
print(result)

When we run this code, we get a result of -3.20.

Conclusion

In this article, we simplified the expression $-(6.35 - 3.15)$. We applied the order of operations and evaluated the expression inside the parentheses first. We then substituted the value of the expression inside the parentheses into the original expression and arrived at a final value of -3.20.

Frequently Asked Questions

• What is the order of operations? The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The order of operations is often remembered using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
• How do I simplify an expression with parentheses? To simplify an expression with parentheses, you need to evaluate the expression inside the parentheses first. You can do this by following the order of operations and evaluating any exponential expressions, multiplication and division operations, and addition and subtraction operations from left to right.
• What is the value of the expression $-(6.35 - 3.15)$? The value of the expression $-(6.35 - 3.15)$ is -3.20.

Additional Resources

• Order of Operations: A tutorial on the order of operations and how to apply it to simplify expressions.
• Simplifying Expressions: A tutorial on how to simplify expressions with parentheses.
• Mathematical Operations: A tutorial on the different types of mathematical operations and how to apply them.

Final Thoughts

Simplifying expressions with parentheses can be a challenging task, but by following the order of operations and applying the rules of arithmetic, we can arrive at a final value. In this article, we simplified the expression $-(6.35 - 3.15)$ and arrived at a final value of -3.20. We hope that this article has been helpful in understanding how to simplify expressions with parentheses.

$$

Understanding the Expression

When dealing with mathematical expressions, it's essential to understand the order of operations and how to simplify them. In this case, we're given the expression $-(6.35 - 3.15)$. Our goal is to simplify this expression and arrive at a final value.

Q&A

Q: What is the order of operations?

A: The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The order of operations is often remembered using the acronym PEMDAS, which stands for:

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: How do I simplify an expression with parentheses?

A: To simplify an expression with parentheses, you need to evaluate the expression inside the parentheses first. You can do this by following the order of operations and evaluating any exponential expressions, multiplication and division operations, and addition and subtraction operations from left to right.

Q: What is the value of the expression $-(6.35 - 3.15)$?

A: The value of the expression $-(6.35 - 3.15)$ is -3.20.

Q: Can you explain the concept of PEMDAS?

A: PEMDAS is a mnemonic device that helps us remember the order of operations. It stands for:

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: How do I apply the order of operations to simplify an expression?

A: To apply the order of operations, follow these steps:

1. Evaluate any expressions inside parentheses first.
2. Evaluate any exponential expressions next.
3. Evaluate any multiplication and division operations from left to right.
4. 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. The main difference between addition and subtraction is that addition involves combining numbers to get a larger value, while subtraction involves combining numbers to get a smaller value.

Q: Can you provide an example of how to simplify an expression using the order of operations?

A: Here's an example:

Expression: $2 \times 3 + 4 - 1$

To simplify this expression, we need to follow the order of operations:

1. Evaluate any expressions inside parentheses: None
2. Evaluate any exponential expressions: None
3. Evaluate any multiplication and division operations from left to right: $2 \times 3 = 6$
4. Evaluate any addition and subtraction operations from left to right: $6 + 4 = 10$, then $10 - 1 = 9$

Therefore, the simplified expression is $9$.

Conclusion

In this article, we provided a Q&A on the expression $-(6.35 - 3.15)$. We explained the order of operations, how to simplify an expression with parentheses, and provided examples of how to apply the order of operations to simplify an expression. We hope that this article has been helpful in understanding how to simplify expressions with parentheses.

Frequently Asked Questions

• What is the order of operations? The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The order of operations is often remembered using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
• How do I simplify an expression with parentheses? To simplify an expression with parentheses, you need to evaluate the expression inside the parentheses first. You can do this by following the order of operations and evaluating any exponential expressions, multiplication and division operations, and addition and subtraction operations from left to right.
• What is the value of the expression $-(6.35 - 3.15)$? The value of the expression $-(6.35 - 3.15)$ is -3.20.

Additional Resources

• Order of Operations: A tutorial on the order of operations and how to apply it to simplify expressions.
• Simplifying Expressions: A tutorial on how to simplify expressions with parentheses.
• Mathematical Operations: A tutorial on the different types of mathematical operations and how to apply them.

Final Thoughts

Simplifying expressions with parentheses can be a challenging task, but by following the order of operations and applying the rules of arithmetic, we can arrive at a final value. In this article, we provided a Q&A on the expression $-(6.35 - 3.15)$ and explained the order of operations, how to simplify an expression with parentheses, and provided examples of how to apply the order of operations to simplify an expression. We hope that this article has been helpful in understanding how to simplify expressions with parentheses.