Subtract:$90 - (-17) = \square$

$$

Understanding the Concept of Subtracting Negative Numbers

When dealing with negative numbers, it's essential to understand the concept of subtracting them. In mathematics, subtracting a negative number is equivalent to adding a positive number. This concept is crucial in solving various mathematical problems, including the one presented in this discussion.

The Problem: $90 - (-17) = \square$

The problem at hand is to find the value of $90 - (-17)$. To solve this, we need to apply the concept of subtracting negative numbers. When we see a negative number being subtracted, we can change the operation to addition by making the negative number positive.

Applying the Concept of Subtracting Negative Numbers

To solve the problem, we can rewrite it as $90 + 17$. This is because subtracting a negative number is equivalent to adding a positive number. Now, we can add 17 to 90 to find the value of the expression.

Solving the Expression

To solve the expression $90 + 17$, we need to add the two numbers together. When we add 17 to 90, we get a total of 107.

Conclusion

In conclusion, the value of the expression $90 - (-17)$ is 107. This is because subtracting a negative number is equivalent to adding a positive number. By applying this concept, we can solve various mathematical problems involving negative numbers.

Real-World Applications of Subtracting Negative Numbers

Subtracting negative numbers has various real-world applications. For instance, in finance, subtracting a negative number can represent a gain or an increase in value. In physics, subtracting a negative number can represent a decrease in energy or a loss of momentum.

Common Mistakes to Avoid When Subtracting Negative Numbers

When subtracting negative numbers, it's essential to avoid common mistakes. One common mistake is to forget to change the operation from subtraction to addition when dealing with negative numbers. Another mistake is to confuse the order of operations, which can lead to incorrect results.

Tips for Solving Problems Involving Subtracting Negative Numbers

To solve problems involving subtracting negative numbers, follow these tips:

• Always change the operation from subtraction to addition when dealing with negative numbers.
• Make sure to follow the order of operations to avoid confusion.
• Use visual aids, such as number lines or graphs, to help you understand the concept of subtracting negative numbers.
• Practice solving problems involving subtracting negative numbers to build your confidence and skills.

Examples of Problems Involving Subtracting Negative Numbers

Here are some examples of problems involving subtracting negative numbers:

• $50 - (-25) = \square$
• $75 - (-32) = \square$
• $20 - (-15) = \square$

Solutions to the Examples

To solve the examples, we need to apply the concept of subtracting negative numbers. Here are the solutions:

• $50 - (-25) = 50 + 25 = 75$
• $75 - (-32) = 75 + 32 = 107$
• $20 - (-15) = 20 + 15 = 35$

Conclusion

In conclusion, subtracting negative numbers is a crucial concept in mathematics. By understanding the concept of subtracting negative numbers, we can solve various mathematical problems, including the one presented in this discussion. Remember to always change the operation from subtraction to addition when dealing with negative numbers, and make sure to follow the order of operations to avoid confusion. With practice and patience, you can build your confidence and skills in solving problems involving subtracting negative numbers.

Final Thoughts

Subtracting negative numbers is a fundamental concept in mathematics that has various real-world applications. By mastering this concept, you can solve complex mathematical problems and apply them to real-world situations. Remember to practice regularly and seek help when needed to build your confidence and skills in solving problems involving subtracting negative numbers.

Q: What is the concept of subtracting negative numbers?

A: The concept of subtracting negative numbers is that it is equivalent to adding a positive number. When we see a negative number being subtracted, we can change the operation to addition by making the negative number positive.

Q: How do I solve a problem involving subtracting negative numbers?

A: To solve a problem involving subtracting negative numbers, you need to change the operation from subtraction to addition by making the negative number positive. Then, you can add the two numbers together to find the value of the expression.

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

A: There is no difference between subtracting a negative number and adding a positive number. They are equivalent operations. When we see a negative number being subtracted, we can change the operation to addition by making the negative number positive.

Q: Can you give me an example of a problem involving subtracting negative numbers?

A: Here's an example: $50 - (-25) = \square$. To solve this problem, we need to change the operation from subtraction to addition by making the negative number positive. So, the problem becomes $50 + 25 = \square$. Then, we can add the two numbers together to find the value of the expression.

Q: How do I know when to change the operation from subtraction to addition when dealing with negative numbers?

A: You need to change the operation from subtraction to addition when you see a negative number being subtracted. This is because subtracting a negative number is equivalent to adding a positive number.

Q: Can you give me some tips for solving problems involving subtracting negative numbers?

A: Here are some tips:

• Always change the operation from subtraction to addition when dealing with negative numbers.
• Make sure to follow the order of operations to avoid confusion.
• Use visual aids, such as number lines or graphs, to help you understand the concept of subtracting negative numbers.
• Practice solving problems involving subtracting negative numbers to build your confidence and skills.

Q: What are some common mistakes to avoid when subtracting negative numbers?

A: Here are some common mistakes to avoid:

• Forgetting to change the operation from subtraction to addition when dealing with negative numbers.
• Confusing the order of operations, which can lead to incorrect results.
• Not using visual aids, such as number lines or graphs, to help you understand the concept of subtracting negative numbers.

Q: Can you give me some examples of problems involving subtracting negative numbers?

A: Here are some examples:

• $50 - (-25) = \square$
• $75 - (-32) = \square$
• $20 - (-15) = \square$

Q: How do I solve the examples you gave me?

A: To solve the examples, you need to change the operation from subtraction to addition by making the negative number positive. Then, you can add the two numbers together to find the value of the expression. Here are the solutions:

• $50 - (-25) = 50 + 25 = 75$
• $75 - (-32) = 75 + 32 = 107$
• $20 - (-15) = 20 + 15 = 35$

Q: What is the value of the expression $90 - (-17)$?

A: To solve the expression $90 - (-17)$, you need to change the operation from subtraction to addition by making the negative number positive. Then, you can add the two numbers together to find the value of the expression. The value of the expression is $90 + 17 = 107$.

Q: Can you give me some real-world applications of subtracting negative numbers?

A: Here are some real-world applications:

• In finance, subtracting a negative number can represent a gain or an increase in value.
• In physics, subtracting a negative number can represent a decrease in energy or a loss of momentum.
• In economics, subtracting a negative number can represent a decrease in unemployment or an increase in economic growth.

Q: How do I practice solving problems involving subtracting negative numbers?

A: Here are some ways to practice:

• Start with simple problems and gradually move on to more complex ones.
• Use online resources, such as math websites or apps, to practice solving problems involving subtracting negative numbers.
• Work with a tutor or a teacher to get help and feedback on your practice problems.
• Join a study group or a math club to practice solving problems with others.