What Is The Value Of -133 - 42 ?
Introduction to Basic Arithmetic Operations
In mathematics, arithmetic operations are fundamental concepts that help us solve various problems. One of the most basic arithmetic operations is addition and subtraction. In this article, we will focus on the value of -133 - 42, which is a simple subtraction problem. To solve this problem, we need to understand the concept of negative numbers and how they interact with each other.
Understanding Negative Numbers
Negative numbers are numbers that are less than zero. They are denoted by a minus sign (-) before the number. For example, -5 is a negative number, which means it is 5 units less than zero. Negative numbers can be thought of as debts or amounts owed. For instance, if you have a balance of -10 in your bank account, it means you owe the bank 10 dollars.
Solving the Problem: -133 - 42
To solve the problem -133 - 42, we need to subtract 42 from -133. When we subtract a positive number from a negative number, we need to change the sign of the number we are subtracting. In this case, we need to change the sign of 42 to negative, which gives us -42.
Step-by-Step Solution
Here's a step-by-step solution to the problem:
- Change the sign of 42 to negative: -42
- Subtract -42 from -133: -133 - (-42)
- When subtracting a negative number, we need to change the sign of the result: -133 + 42
- Perform the subtraction: -133 + 42 = -91
Conclusion
In conclusion, the value of -133 - 42 is -91. This problem may seem simple, but it requires a good understanding of negative numbers and how they interact with each other. By following the steps outlined above, we can solve this problem and understand the concept of subtraction with negative numbers.
Real-World Applications
Understanding negative numbers and how to solve problems involving them is crucial in real-world applications. For instance, in finance, you may need to calculate the value of a debt or a credit. In science, you may need to calculate the temperature of a substance that is below zero. In these cases, understanding negative numbers and how to solve problems involving them is essential.
Common Mistakes to Avoid
When solving problems involving negative numbers, there are several common mistakes to avoid. Here are a few:
- Not changing the sign of the number being subtracted
- Not following the order of operations
- Not understanding the concept of negative numbers
Tips for Solving Problems Involving Negative Numbers
Here are a few tips for solving problems involving negative numbers:
- Always change the sign of the number being subtracted
- Follow the order of operations
- Understand the concept of negative numbers
- Use visual aids to help you understand the problem
- Practice, practice, practice!
Final Thoughts
In conclusion, the value of -133 - 42 is -91. This problem may seem simple, but it requires a good understanding of negative numbers and how they interact with each other. By following the steps outlined above and avoiding common mistakes, we can solve this problem and understand the concept of subtraction with negative numbers.
Introduction
In our previous article, we discussed the value of -133 - 42 and how to solve this problem using basic arithmetic operations. In this article, we will answer some frequently asked questions (FAQs) about negative numbers and subtraction.
Q: What is the difference between a negative number and a positive number?
A: A negative number is a number that is less than zero, while a positive number is a number that is greater than zero. For example, -5 is a negative number, while 5 is a positive number.
Q: How do I change the sign of a number?
A: To change the sign of a number, you simply add a minus sign (-) before the number. For example, to change the sign of 5, you would write -5.
Q: What is the rule for subtracting a negative number?
A: When subtracting a negative number, you need to change the sign of the number you are subtracting. For example, to subtract -42 from -133, you would change the sign of -42 to positive, which gives you 42.
Q: Can I subtract a negative number from a positive number?
A: Yes, you can subtract a negative number from a positive number. For example, to subtract -42 from 133, you would change the sign of -42 to positive, which gives you 42, and then subtract 42 from 133.
Q: What is the result of subtracting a negative number from a negative number?
A: When subtracting a negative number from a negative number, you need to change the sign of the number you are subtracting. For example, to subtract -42 from -133, you would change the sign of -42 to positive, which gives you 42, and then subtract 42 from -133.
Q: Can I use a calculator to solve problems involving negative numbers?
A: Yes, you can use a calculator to solve problems involving negative numbers. However, it's always a good idea to understand the concept of negative numbers and how to solve problems involving them manually.
Q: What are some common mistakes to avoid when solving problems involving negative numbers?
A: Some common mistakes to avoid when solving problems involving negative numbers include:
- Not changing the sign of the number being subtracted
- Not following the order of operations
- Not understanding the concept of negative numbers
Q: How can I practice solving problems involving negative numbers?
A: You can practice solving problems involving negative numbers by working through examples and exercises in a textbook or online resource. You can also try solving problems on your own and then checking your answers with a calculator or a teacher.
Q: What are some real-world applications of negative numbers?
A: Negative numbers have many real-world applications, including:
- Finance: Negative numbers are used to represent debts or losses.
- Science: Negative numbers are used to represent temperatures below zero.
- Engineering: Negative numbers are used to represent distances below a reference point.
Q: Can I use negative numbers to represent time?
A: Yes, you can use negative numbers to represent time. For example, if you are 10 minutes behind schedule, you could represent this as -10 minutes.
Q: What is the difference between a negative number and a debt?
A: A negative number is a mathematical concept that represents a value less than zero, while a debt is a financial obligation to pay a certain amount of money. However, in some cases, a negative number can be used to represent a debt.
Q: Can I use negative numbers to represent a credit?
A: Yes, you can use negative numbers to represent a credit. For example, if you have a credit balance of -100, it means you have a credit of 100 dollars.
Q: What is the rule for adding a negative number to a positive number?
A: When adding a negative number to a positive number, you need to change the sign of the number you are adding. For example, to add -42 to 133, you would change the sign of -42 to positive, which gives you 42, and then add 42 to 133.
Q: Can I use a calculator to solve problems involving negative numbers and addition?
A: Yes, you can use a calculator to solve problems involving negative numbers and addition. However, it's always a good idea to understand the concept of negative numbers and how to solve problems involving them manually.
Q: What are some common mistakes to avoid when solving problems involving negative numbers and addition?
A: Some common mistakes to avoid when solving problems involving negative numbers and addition include:
- Not changing the sign of the number being added
- Not following the order of operations
- Not understanding the concept of negative numbers
Q: How can I practice solving problems involving negative numbers and addition?
A: You can practice solving problems involving negative numbers and addition by working through examples and exercises in a textbook or online resource. You can also try solving problems on your own and then checking your answers with a calculator or a teacher.