Evaluate The Expression:$-7 \times -1 \times (10 - (-3)$\]$\square$

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Introduction

In mathematics, expressions are a combination of numbers, variables, and mathematical operations. Evaluating an expression involves simplifying it to a single value. In this article, we will evaluate the given expression: $-7 \times -1 \times (10 - (-3))$. We will break down the expression step by step, applying the order of operations and mathematical rules to simplify it.

Understanding the Order of Operations

The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order of operations:

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

Evaluating the Expression

Let's start by evaluating the expression inside the parentheses: $10 - (-3)$.

Evaluating the Subtraction Inside the Parentheses

When subtracting a negative number, we can rewrite the expression as an addition. So, $10 - (-3)$ becomes $10 + 3$.

# Evaluating the subtraction inside the parentheses
result_inside_parentheses = 10 + 3
print(result_inside_parentheses)

The result of the expression inside the parentheses is $13$.

Evaluating the Multiplication Operations

Now that we have the result of the expression inside the parentheses, we can evaluate the multiplication operations: $-7 \times -1 \times 13$.

# Evaluating the multiplication operations
result_multiplication = -7 * -1 * 13
print(result_multiplication)

When multiplying two negative numbers, the result is a positive number. So, $-7 \times -1$ becomes $7$. Then, multiplying $7$ by $13$ gives us $91$.

Conclusion

In conclusion, the expression $-7 \times -1 \times (10 - (-3))$ simplifies to $91$. We followed the order of operations and applied mathematical rules to simplify the expression step by step.

Frequently Asked Questions

• Q: What is the order of operations? A: The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order of operations.
• Q: How do I evaluate an expression with multiple operations? A: To evaluate an expression with multiple operations, follow the order of operations: parentheses, exponents, multiplication and division, and addition and subtraction.
• Q: What is the result of the expression $-7 \times -1 \times (10 - (-3))$? A: The result of the expression $-7 \times -1 \times (10 - (-3))$ is $91$.

Final Thoughts

Evaluating expressions is an essential skill in mathematics. By following the order of operations and applying mathematical rules, we can simplify complex expressions and arrive at a single value. In this article, we evaluated the expression $-7 \times -1 \times (10 - (-3))$ step by step, demonstrating the importance of following the order of operations.

Introduction

Evaluating expressions is a fundamental concept in mathematics. It involves simplifying complex expressions to a single value. In our previous article, we evaluated the expression $-7 \times -1 \times (10 - (-3))$ step by step. In this article, we will provide a Q&A guide to help you understand and evaluate expressions.

Q&A Guide

Q: What is the order of operations?

A: The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression. The acronym PEMDAS is commonly used to remember the order of operations:

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
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: How do I evaluate an expression with multiple operations?

A: To evaluate an expression with multiple operations, follow the order of operations:

1. Evaluate expressions inside parentheses first.
2. Evaluate any exponential expressions next.
3. Evaluate multiplication and division operations from left to right.
4. Finally, evaluate any addition and subtraction operations from left to right.

Q: What is the result of the expression $-7 \times -1 \times (10 - (-3))$?

A: The result of the expression $-7 \times -1 \times (10 - (-3))$ is $91$.

Q: How do I handle negative numbers in an expression?

A: When working with negative numbers, remember that:

• Subtracting a negative number is the same as adding a positive number.
• Multiplying two negative numbers results in a positive number.
• Dividing a negative number by a negative number results in a positive number.

Q: What is the difference between an expression and an equation?

A: An expression is a combination of numbers, variables, and mathematical operations. An equation is a statement that says two expressions are equal. For example, $2x + 3 = 5$ is an equation, while $2x + 3$ is an expression.

Q: How do I simplify an expression with multiple variables?

A: To simplify an expression with multiple variables, follow these steps:

1. Evaluate any expressions inside parentheses.
2. Simplify any exponential expressions.
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 result of the expression $x^2 + 3x - 4$?

A: To evaluate this expression, we need to know the value of $x$. If $x = 2$, then the expression becomes $2^2 + 3(2) - 4 = 4 + 6 - 4 = 6$.

Q: How do I evaluate an expression with a variable in the denominator?

A: To evaluate an expression with a variable in the denominator, follow these steps:

1. Evaluate any expressions inside parentheses.
2. Simplify any exponential expressions.
3. Evaluate any multiplication and division operations from left to right.
4. Finally, evaluate any addition and subtraction operations from left to right.

For example, if we have the expression $\frac{x + 2}{x - 3}$, we need to know the value of $x$ to evaluate it.

Conclusion

Evaluating expressions is a fundamental concept in mathematics. By following the order of operations and applying mathematical rules, we can simplify complex expressions and arrive at a single value. In this article, we provided a Q&A guide to help you understand and evaluate expressions.

Frequently Asked Questions

• Q: What is the order of operations? A: The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when there are multiple operations in an expression.
• Q: How do I evaluate an expression with multiple operations? A: To evaluate an expression with multiple operations, follow the order of operations: parentheses, exponents, multiplication and division, and addition and subtraction.
• Q: What is the result of the expression $-7 \times -1 \times (10 - (-3))$? A: The result of the expression $-7 \times -1 \times (10 - (-3))$ is $91$.

Final Thoughts

Evaluating expressions is an essential skill in mathematics. By following the order of operations and applying mathematical rules, we can simplify complex expressions and arrive at a single value. In this article, we provided a Q&A guide to help you understand and evaluate expressions.