Additional Practice Questions

Oct 13, 2025 by recoveryshake.com 120 views

Introduction

Welcome to the Week 3 Assessment, where we will delve into the fundamental concepts of mathematics. In this assessment, we will focus on understanding the difference between negative and positive numbers. Specifically, we will explore the difference between -8 and 4.

What is the Difference Between -8 and 4?

To answer this question, we need to understand the concept of negative and positive numbers. A negative number is a number that is less than zero, while a positive number is a number that is greater than zero.

Understanding Negative Numbers

A negative number is denoted by a minus sign (-) and is less than zero. For example, -8 is a negative number because it is less than zero. To understand the concept of negative numbers, let's consider the number line. The number line is a visual representation of numbers, with zero as the starting point. Numbers to the left of zero are negative, while numbers to the right of zero are positive.

Understanding Positive Numbers

A positive number is denoted by a plus sign (+) and is greater than zero. For example, 4 is a positive number because it is greater than zero. To understand the concept of positive numbers, let's consider the number line. The number line is a visual representation of numbers, with zero as the starting point. Numbers to the right of zero are positive, while numbers to the left of zero are negative.

Calculating the Difference Between -8 and 4

To calculate the difference between -8 and 4, we need to subtract 4 from -8. When we subtract a positive number from a negative number, we need to change the sign of the result. Therefore, the difference between -8 and 4 is -12.

Why is the Difference -12?

When we subtract 4 from -8, we are essentially moving 4 units to the left on the number line. Since -8 is already to the left of zero, moving 4 units to the left will result in a number that is even further to the left. Therefore, the difference between -8 and 4 is -12.

Conclusion

In conclusion, the difference between -8 and 4 is -12. This is because when we subtract a positive number from a negative number, we need to change the sign of the result. Understanding the concept of negative and positive numbers is essential in mathematics, and this assessment has helped us to reinforce this concept.

Final Answer

The final answer to the question "What is the difference between -8 and 4?" is:

A. $$-12$$

This is because the difference between -8 and 4 is -12.

Discussion

What is the difference between -8 and 4?
Why is the difference -12?
How does the concept of negative and positive numbers relate to the number line?

Additional Practice Questions

What is the difference between -5 and 3?
What is the difference between -2 and 6?
What is the difference between -9 and 1?

Solutions to Additional Practice Questions

The difference between -5 and 3 is -8.
The difference between -2 and 6 is -8.
The difference between -9 and 1 is -10.

Final Thoughts

In conclusion, this assessment has helped us to understand the difference between -8 and 4. We have learned that when we subtract a positive number from a negative number, we need to change the sign of the result. Understanding the concept of negative and positive numbers is essential in mathematics, and this assessment has helped us to reinforce this concept.

Introduction

Welcome to the Week 3 Assessment Q&A, where we will delve into the fundamental concepts of mathematics. In this assessment, we will focus on understanding the difference between negative and positive numbers. Specifically, we will explore the difference between -8 and 4.

Q&A Session

Q1: What is the difference between -8 and 4?

A1: The difference between -8 and 4 is -12. This is because when we subtract a positive number from a negative number, we need to change the sign of the result.

Q2: Why is the difference -12?

A2: The difference is -12 because when we subtract 4 from -8, we are essentially moving 4 units to the left on the number line. Since -8 is already to the left of zero, moving 4 units to the left will result in a number that is even further to the left.

Q3: How does the concept of negative and positive numbers relate to the number line?

A3: The concept of negative and positive numbers relates to the number line in that numbers to the left of zero are negative, while numbers to the right of zero are positive. This means that as we move to the left on the number line, the numbers become more negative, and as we move to the right, the numbers become more positive.

Q4: What is the difference between -5 and 3?

A4: The difference between -5 and 3 is -8. This is because when we subtract a positive number from a negative number, we need to change the sign of the result.

Q5: What is the difference between -2 and 6?

A5: The difference between -2 and 6 is -8. This is because when we subtract a positive number from a negative number, we need to change the sign of the result.

Q6: What is the difference between -9 and 1?

A6: The difference between -9 and 1 is -10. This is because when we subtract a positive number from a negative number, we need to change the sign of the result.

Q7: How do we calculate the difference between two negative numbers?

A7: To calculate the difference between two negative numbers, we need to subtract the smaller number from the larger number. For example, to calculate the difference between -8 and -4, we need to subtract -4 from -8, which results in -4.

Q8: How do we calculate the difference between two positive numbers?

A8: To calculate the difference between two positive numbers, we need to subtract the smaller number from the larger number. For example, to calculate the difference between 4 and 2, we need to subtract 2 from 4, which results in 2.

Q9: What is the difference between 0 and -8?

A9: The difference between 0 and -8 is -8. This is because when we subtract a negative number from zero, the result is the negative number itself.

Q10: What is the difference between 0 and 4?

A10: The difference between 0 and 4 is 4. This is because when we subtract zero from a positive number, the result is the positive number itself.

Conclusion

In conclusion, this Q&A session has helped us to understand the difference between negative and positive numbers. We have learned that when we subtract a positive number from a negative number, we need to change the sign of the result. Understanding the concept of negative and positive numbers is essential in mathematics, and this Q&A session has helped us to reinforce this concept.