What Is The Value Of $-133 - 42$?
Introduction to Basic Arithmetic Operations
In mathematics, arithmetic operations are fundamental concepts that form the basis of various mathematical calculations. These operations include addition, subtraction, multiplication, and division. Understanding the value of basic arithmetic operations is crucial for solving complex mathematical problems. In this article, we will explore the value of the expression $-133 - 42$, which involves the subtraction of two negative integers.
Understanding Negative Numbers
Before we proceed with the calculation, it's essential to understand the concept of negative numbers. A negative number is a number that is less than zero. In the context of the given expression, both -133 and -42 are negative integers. When we subtract a negative number from another negative number, we are essentially adding the absolute values of the two numbers.
The Rule for Subtracting Negative Numbers
The rule for subtracting negative numbers states that when we subtract a negative number from another negative number, we add the absolute values of the two numbers. In mathematical terms, this can be represented as:
where a and b are negative integers.
Applying the Rule to the Given Expression
Now that we have understood the rule for subtracting negative numbers, let's apply it to the given expression $-133 - 42$. According to the rule, we can rewrite the expression as:
Calculating the Value of the Expression
Now that we have simplified the expression, let's calculate its value. To do this, we need to add the absolute values of -133 and 42.
Conclusion
In conclusion, the value of the expression $-133 - 42$ is -91. This result is obtained by applying the rule for subtracting negative numbers, which states that when we subtract a negative number from another negative number, we add the absolute values of the two numbers.
Frequently Asked Questions
Q: What is the rule for subtracting negative numbers?
A: The rule for subtracting negative numbers states that when we subtract a negative number from another negative number, we add the absolute values of the two numbers.
Q: How do we apply the rule to the given expression?
A: We rewrite the expression by changing the subtraction sign to an addition sign, and then add the absolute values of the two numbers.
Q: What is the value of the expression $-133 - 42$?
A: The value of the expression $-133 - 42$ is -91.
Final Thoughts
In this article, we have explored the value of the expression $-133 - 42$, which involves the subtraction of two negative integers. We have applied the rule for subtracting negative numbers and calculated the value of the expression. Understanding basic arithmetic operations is crucial for solving complex mathematical problems, and this article has provided a step-by-step guide on how to calculate the value of the given expression.
Additional Resources
For further learning, we recommend the following resources:
- Khan Academy: Arithmetic Operations
- Mathway: Basic Arithmetic Operations
- Wolfram Alpha: Arithmetic Operations
Related Articles
- What is the value of $-25 + 37$?
- What is the value of $-12 - 15$?
- What is the value of $-48 + 22$?
Comments
We welcome your comments and feedback on this article. Please feel free to share your thoughts and suggestions on how to improve this article.
Introduction
In our previous article, we explored the value of the expression $-133 - 42$, which involves the subtraction of two negative integers. We also discussed the rule for subtracting negative numbers and calculated the value of the expression. In this article, we will address some frequently asked questions about basic arithmetic operations.
Q&A: Basic Arithmetic Operations
Q: What is the difference between addition and subtraction?
A: Addition and subtraction are two fundamental arithmetic operations. Addition involves combining two or more numbers to get a total or a sum, while subtraction involves finding the difference between two numbers.
Q: How do I add two negative numbers?
A: To add two negative numbers, you need to change the subtraction sign to an addition sign and then add the absolute values of the two numbers.
Q: How do I subtract a negative number from a positive number?
A: To subtract a negative number from a positive number, you need to change the subtraction sign to an addition sign and then add the absolute values of the two numbers.
Q: What is the rule for multiplying negative numbers?
A: The rule for multiplying negative numbers states that when you multiply two negative numbers, the result is a positive number.
Q: What is the rule for dividing negative numbers?
A: The rule for dividing negative numbers states that when you divide two negative numbers, the result is a positive number.
Q: How do I calculate the value of an expression with multiple operations?
A: To calculate the value of an expression with multiple operations, you need to follow the order of operations (PEMDAS):
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate any multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Q: What is the value of $-25 + 37$?
A: To calculate the value of this expression, we need to add the absolute values of -25 and 37.
Q: What is the value of $-12 - 15$?
A: To calculate the value of this expression, we need to subtract the absolute values of -12 and -15.
Q: What is the value of $-48 + 22$?
A: To calculate the value of this expression, we need to add the absolute values of -48 and 22.
Conclusion
In this article, we have addressed some frequently asked questions about basic arithmetic operations. We have discussed the rules for adding and subtracting negative numbers, multiplying and dividing negative numbers, and calculating the value of expressions with multiple operations. We hope that this article has provided a helpful resource for students and educators alike.
Additional Resources
For further learning, we recommend the following resources:
- Khan Academy: Arithmetic Operations
- Mathway: Basic Arithmetic Operations
- Wolfram Alpha: Arithmetic Operations
Related Articles
- What is the value of $-133 - 42$?
- What is the rule for subtracting negative numbers?
- What is the value of $-25 + 37$?
Comments
We welcome your comments and feedback on this article. Please feel free to share your thoughts and suggestions on how to improve this article.