https://file.aiquickdraw.com/mathbot/file/1726521040041jgm2hbp4.jpg

Let's solve each expression to determine which ones have negative values.

1. **Expression:** \( 2 + 2(-3)(7) \)
   - First, compute \( 2(-3) = -6 \)
   - Then, \( -6 \times 7 = -42 \)
   - Finally, \( 2 + (-42) = -40 \)
   - **Value:** \( -40 \) (Negative)

2. **Expression:** \( -2(27 \div 9) + 4 \)
   - First, \( 27 \div 9 = 3 \)
   - Then, \( -2 \times 3 = -6 \)
   - Finally, \( -6 + 4 = -2 \)
   - **Value:** \( -2 \) (Negative)

3. **Expression:** \( (14 \div -2)(-6) \)
   - First, \( 14 \div -2 = -7 \)
   - Then, \( -7 \times -6 = 42 \)
   - **Value:** \( 42 \) (Positive)

4. **Expression:** \( (4 - 10) - (8 \div (-2)) \)
   - First, \( 4 - 10 = -6 \)
   - Then, \( 8 \div (-2) = -4 \)
   - Finally, \( -6 - (-4) = -6 + 4 = -2 \)
   - **Value:** \( -2 \) (Negative)

### Conclusion:
The expressions that have negative values are:
- \( 2 + 2(-3)(7) \)
- \( -2(27 \div 9) + 4 \)
- \( (4 - 10) - (8 \div (-2)) \)

Would you like any additional explanation?

### Related Questions:
1. What is the rule for multiplying two negative numbers?
2. How does division by a negative number affect the result?
3. Can a negative result turn positive in any operation?
4. Why does subtracting a negative number result in addition?
5. How can parentheses change the outcome of operations?

### Tip:
Always perform operations inside parentheses first to avoid errors in complex expressions.

Which of these expressions have negative values?

Learn how to determine which algebraic expressions result in negative values. This problem involves basic arithmetic operations like multiplication and division, focusing on handling negative numbers. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation