Subtraction of Negative Numbers

Oct 13, 2025 by miodeya.com 14 views

Introduction

Subtraction is a fundamental operation in mathematics that involves finding the difference between two numbers. In this article, we will focus on solving a specific subtraction problem, which is finding the value of $-325 - 129$ . We will break down the problem into smaller steps and provide a clear explanation of each step.

Understanding the Problem

The problem requires us to find the value of $-325 - 129$ . To solve this problem, we need to understand the concept of subtraction and how to apply it to negative numbers.

Subtraction of Negative Numbers

When subtracting two negative numbers, we need to follow the rules of subtraction. The rules are as follows:

When subtracting a negative number from a positive number, we add the absolute value of the negative number to the positive number.
When subtracting a negative number from another negative number, we subtract the absolute value of the second negative number from the first negative number.

Step 1: Identify the Numbers

In this problem, we have two numbers: $-325$ and $-129$ . Both numbers are negative.

Step 2: Apply the Rules of Subtraction

Since both numbers are negative, we will subtract the absolute value of the second negative number from the first negative number.

Step 3: Calculate the Absolute Value

The absolute value of $-129$ is $129$ .

Step 4: Subtract the Absolute Value

Now, we will subtract $129$ from $-325$ .

$-325 - 129 = -325 + 129$

Step 5: Add the Numbers

To add the numbers, we need to add the absolute value of $129$ to $-325$ .

$-325 + 129 = -196$

Conclusion

Therefore, the value of $-325 - 129$ is $-196$ .

Answer

The correct answer is:

A. 196 (Incorrect)
B. 454 (Incorrect)
C. -196 (Correct)
D. -454 (Incorrect)

Tips and Tricks

When solving subtraction problems involving negative numbers, remember to follow the rules of subtraction and apply the concept of absolute value.

Common Mistakes

Some common mistakes when solving subtraction problems involving negative numbers include:

Not following the rules of subtraction
Not applying the concept of absolute value
Not simplifying the expression

Real-World Applications

Subtraction problems involving negative numbers have real-world applications in various fields, such as finance, economics, and science.

Conclusion

In conclusion, solving subtraction problems involving negative numbers requires a clear understanding of the rules of subtraction and the concept of absolute value. By following the steps outlined in this article, you can solve subtraction problems involving negative numbers with confidence.

Final Answer

The final answer is:

C. -196
Solving Subtraction Problems: A Step-by-Step Guide =====================================================

Q&A: Solving Subtraction Problems Involving Negative Numbers

Q: What is the difference between subtracting a negative number and subtracting a positive number?

A: When subtracting a negative number, we add the absolute value of the negative number to the positive number. When subtracting a positive number, we subtract the positive number from the negative number.

Q: How do I apply the rules of subtraction when working with negative numbers?

A: To apply the rules of subtraction when working with negative numbers, follow these steps:

Identify the numbers involved in the problem.
Determine whether the numbers are positive or negative.
Apply the rules of subtraction based on the signs of the numbers.
Simplify the expression by combining like terms.

Q: What is the absolute value of a negative number?

A: The absolute value of a negative number is the positive value of the number. For example, the absolute value of $-5$ is $5$ .

Q: How do I calculate the absolute value of a negative number?

A: To calculate the absolute value of a negative number, simply remove the negative sign and write the number as a positive value.

Q: What is the difference between $-5 - 3$ and $-5 + 3$ ?

A: $-5 - 3$ is equal to $-8$ , while $-5 + 3$ is equal to $-2$ . This demonstrates the difference between subtracting a negative number and subtracting a positive number.

Q: Can you provide an example of a subtraction problem involving negative numbers?

A: Here's an example:

$-8 - (-3) = -8 + 3 = -5$

Q: How do I simplify an expression involving negative numbers?

A: To simplify an expression involving negative numbers, follow these steps:

Apply the rules of subtraction based on the signs of the numbers.
Combine like terms by adding or subtracting the coefficients of the terms.
Simplify the expression by removing any unnecessary parentheses or brackets.

Q: What are some common mistakes to avoid when solving subtraction problems involving negative numbers?

A: Some common mistakes to avoid when solving subtraction problems involving negative numbers include:

Not following the rules of subtraction
Not applying the concept of absolute value
Not simplifying the expression
Not checking the signs of the numbers

Q: How do I check my work when solving subtraction problems involving negative numbers?

A: To check your work when solving subtraction problems involving negative numbers, follow these steps:

Review the problem and the solution.
Check the signs of the numbers involved in the problem.
Verify that the solution is correct by plugging it back into the original problem.
Simplify the expression to ensure that it is correct.

Conclusion

In conclusion, solving subtraction problems involving negative numbers requires a clear understanding of the rules of subtraction and the concept of absolute value. By following the steps outlined in this article and avoiding common mistakes, you can solve subtraction problems involving negative numbers with confidence.

Final Answer

The final answer is:

C. -196