https://file.aiquickdraw.com/mathbot/file/17258537259801gnojiba.jpg

The problem in the image is asking to simplify the expression \(-11 + 18\) and then justify the answer.

Let's solve it:

1. **Simplify**:  
   \(-11 + 18\)  
   This can be done by considering the difference between the two numbers since they have opposite signs. Subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.

   \[
   18 - 11 = 7
   \]

   Since 18 is positive and has the larger absolute value, the result is positive.

   So, \(-11 + 18 = 7\).

2. **Justification**:
   The result is \(7\) because when adding a negative number (\(-11\)) to a positive number (\(18\)), you subtract the absolute value of the smaller number from the absolute value of the larger number, and take the sign of the larger number, which in this case is positive.

The correct answer is \(7\), and this is the reasoning behind it.

---

Do you want more details or have any questions?

Here are 5 related questions you can explore:

1. How do you handle the addition of two negative numbers?
2. What happens when you subtract a negative number from a positive number?
3. Can you explain the difference between absolute value and regular value?
4. How would the result change if the expression was \(-11 - 18\)?
5. What are some real-life applications of adding and subtracting positive and negative numbers?

**Tip**: Always pay attention to the signs of numbers when performing addition or subtraction, as it greatly influences the result.

Learn how to simplify the expression -11 + 18 by following the rules of integer addition. This example covers adding negative and positive numbers, explaining how to handle opposite signs. Suitable for middle school students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation