https://file.aiquickdraw.com/mathbot/file/1726442180938x8i18lb6.jpg

Let's solve the mathematical problems shown in the image:

1. **Problem 3**: \( 18 - (-6) \)
   - Subtraction of a negative number is equivalent to addition.
   - Solution: \( 18 + 6 = 24 \)

2. **Problem 6**: \( \frac{-30}{3} \)
   - Dividing a negative number by a positive number results in a negative number.
   - Solution: \( -10 \)

3. **Problem 9**: \( -9 \times (-5) \)
   - Multiplying two negative numbers results in a positive number.
   - Solution: \( 45 \)

4. **Problem 12**: \( -54 \div (-6) \)
   - Dividing two negative numbers results in a positive number.
   - Solution: \( 9 \)

5. **Problem 15**: \( \frac{40}{-8} \)
   - Dividing a positive number by a negative number results in a negative number.
   - Solution: \( -5 \)

6. **Problem 18**: \( -10 - (-31) \)
   - Subtraction of a negative number is equivalent to addition.
   - Solution: \( -10 + 31 = 21 \)

7. **Problem 21**: \( -14 - (-11) \)
   - Subtraction of a negative number is equivalent to addition.
   - Solution: \( -14 + 11 = -3 \)

8. **Problem 24**: \( -12 + (-9) \)
   - Adding two negative numbers results in a negative number.
   - Solution: \( -12 - 9 = -21 \)

9. **Problem 27**: \( -45 \div 9 \)
   - Dividing a negative number by a positive number results in a negative number.
   - Solution: \( -5 \)

10. **Problem 30**: \( -12 - 19 \)
    - Adding a negative number to a negative result increases the magnitude of the negative result.
    - Solution: \( -12 - 19 = -31 \)

Would you like details on any of the specific calculations or have any other questions about these problems?

Here are some additional questions you might consider:
1. What rules are used when multiplying and dividing with negative numbers?
2. How do you solve equations involving both addition and subtraction of negative numbers?
3. What are the implications of dividing by a negative number?
4. Can you provide examples of real-world applications where negative numbers are used?
5. How might you check your work in these problems to ensure accuracy?

Tip: Remember that the product of two negative numbers is always positive, a useful rule to keep in mind when working with negative values in equations.

Solve the following algebraic problems involving addition, subtraction, multiplication, and division of negative and positive integers.

Learn how to solve algebraic problems involving the addition, subtraction, multiplication, and division of negative and positive integers. This guide covers integer operations using key mathematical formulas and concepts. Suitable for 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