(c) 6 + ( − 4 ) = 6 + (-4) = 6 + ( − 4 ) =

$$

Understanding the Basics of Addition with Negative Numbers

When dealing with addition involving negative numbers, it's essential to understand the concept of the number line. The number line is a visual representation of numbers, with positive numbers to the right of zero and negative numbers to the left. Addition of two numbers involves moving a certain distance on the number line.

The Concept of Negative Numbers

Negative numbers are used to represent quantities that are opposite in direction or magnitude to positive numbers. For example, if you have $-4$ dollars, it means you owe $4$ dollars. In this context, the negative sign indicates that the amount is being subtracted from the total.

The Problem at Hand

The problem $6 + (-4) =$ requires us to add $6$ and $-4$. To solve this, we need to understand that when we add a negative number, we are essentially subtracting the absolute value of that number. In this case, we are subtracting $4$ from $6$.

Solving the Problem

To solve the problem, we can use the following steps:

1. Understand the concept of negative numbers: As mentioned earlier, negative numbers are used to represent quantities that are opposite in direction or magnitude to positive numbers.
2. Add the absolute values: We need to add the absolute values of the two numbers, which are $6$ and $4$.
3. Determine the sign of the result: Since we are subtracting $4$ from $6$, the result will be positive.

Step 1: Add the Absolute Values

The absolute value of $6$ is $6$, and the absolute value of $-4$ is $4$. We add these two numbers together:

$6 + 4 = 10$

Step 2: Determine the Sign of the Result

Since we are subtracting $4$ from $6$, the result will be positive. Therefore, the final answer is:

$6 + (-4) = 2$

Conclusion

In conclusion, the problem $6 + (-4) =$ requires us to add $6$ and $-4$. To solve this, we need to understand the concept of negative numbers and how to add them. We can use the following steps:

1. Understand the concept of negative numbers: Negative numbers are used to represent quantities that are opposite in direction or magnitude to positive numbers.
2. Add the absolute values: We need to add the absolute values of the two numbers, which are $6$ and $4$.
3. Determine the sign of the result: Since we are subtracting $4$ from $6$, the result will be positive.

By following these steps, we can solve the problem $6 + (-4) =$ and arrive at the final answer of $2$.

Frequently Asked Questions

Q: What is the concept of negative numbers?

A: Negative numbers are used to represent quantities that are opposite in direction or magnitude to positive numbers.

Q: How do we add negative numbers?

A: When we add a negative number, we are essentially subtracting the absolute value of that number.

Q: What is the final answer to the problem $6 + (-4) =$?

A: The final answer to the problem $6 + (-4) =$ is $2$.

Additional Resources

For more information on addition with negative numbers, you can refer to the following resources:

• Khan Academy: Addition with Negative Numbers
• Mathway: Addition with Negative Numbers
• Wolfram Alpha: Addition with Negative Numbers

Final Thoughts

In conclusion, the problem $6 + (-4) =$ requires us to add $6$ and $-4$. To solve this, we need to understand the concept of negative numbers and how to add them. By following the steps outlined in this article, we can arrive at the final answer of $2$.

Understanding the Basics of Addition with Negative Numbers

When dealing with addition involving negative numbers, it's essential to understand the concept of the number line. The number line is a visual representation of numbers, with positive numbers to the right of zero and negative numbers to the left. Addition of two numbers involves moving a certain distance on the number line.

The Concept of Negative Numbers

Negative numbers are used to represent quantities that are opposite in direction or magnitude to positive numbers. For example, if you have $-4$ dollars, it means you owe $4$ dollars. In this context, the negative sign indicates that the amount is being subtracted from the total.

The Problem at Hand

The problem $6 + (-4) =$ requires us to add $6$ and $-4$. To solve this, we need to understand that when we add a negative number, we are essentially subtracting the absolute value of that number. In this case, we are subtracting $4$ from $6$.

Q&A: Addition with Negative Numbers

Q: What is the concept of negative numbers?

A: Negative numbers are used to represent quantities that are opposite in direction or magnitude to positive numbers.

Q: How do we add negative numbers?

A: When we add a negative number, we are essentially subtracting the absolute value of that number.

Q: What is the final answer to the problem $6 + (-4) =$?

A: The final answer to the problem $6 + (-4) =$ is $2$.

Q: Can you explain the concept of the number line?

A: The number line is a visual representation of numbers, with positive numbers to the right of zero and negative numbers to the left. Addition of two numbers involves moving a certain distance on the number line.

Q: How do we determine the sign of the result when adding negative numbers?

A: When adding negative numbers, the result will be positive if the absolute value of the negative number is subtracted from the positive number.

Q: Can you provide an example of adding negative numbers?

A: Yes, consider the problem $-3 + (-2) =$. To solve this, we need to add the absolute values of the two numbers, which are $3$ and $2$. The result will be negative, since we are subtracting $2$ from $-3$.

Q: What is the final answer to the problem $-3 + (-2) =$?

A: The final answer to the problem $-3 + (-2) =$ is $-5$.

Q: Can you explain the concept of absolute value?

A: The absolute value of a number is its distance from zero on the number line. For example, the absolute value of $-4$ is $4$.

Q: How do we use absolute value when adding negative numbers?

A: When adding negative numbers, we need to add the absolute values of the two numbers. The result will be positive if the absolute value of the negative number is subtracted from the positive number.

Additional Resources

For more information on addition with negative numbers, you can refer to the following resources:

• Khan Academy: Addition with Negative Numbers
• Mathway: Addition with Negative Numbers
• Wolfram Alpha: Addition with Negative Numbers

Final Thoughts

In conclusion, the problem $6 + (-4) =$ requires us to add $6$ and $-4$. To solve this, we need to understand the concept of negative numbers and how to add them. By following the steps outlined in this article, we can arrive at the final answer of $2$. Additionally, we can use the Q&A section to clarify any doubts and understand the concept of addition with negative numbers.

Common Mistakes to Avoid

When adding negative numbers, it's essential to avoid the following common mistakes:

• Not understanding the concept of negative numbers: Negative numbers are used to represent quantities that are opposite in direction or magnitude to positive numbers.
• Not adding the absolute values: When adding negative numbers, we need to add the absolute values of the two numbers.
• Not determining the sign of the result: When adding negative numbers, the result will be positive if the absolute value of the negative number is subtracted from the positive number.

By avoiding these common mistakes, we can ensure that we arrive at the correct answer when adding negative numbers.

Conclusion

In conclusion, the problem $6 + (-4) =$ requires us to add $6$ and $-4$. To solve this, we need to understand the concept of negative numbers and how to add them. By following the steps outlined in this article, we can arrive at the final answer of $2$. Additionally, we can use the Q&A section to clarify any doubts and understand the concept of addition with negative numbers.