Final answer:
Option c) (-9) + 5 is the correct answer because when you add a smaller positive number to a larger negative number, the result is negative, leading to -9 + 5 = -4.
Step-by-step explanation:
The correct answer is option c) (-9) + 5.
When determining whether the sum of two numbers will be negative, we can apply the following rules:
- When a positive number is added to a larger negative number, the result is negative.
- When a negative number is added to a smaller positive number, the result is also negative.
Using these rules:
- a) 5+(-9) + 4: Here, you have 5 - 9 = -4, and then -4 + 4 = 0. This result is not negative.
- b) (-5) + 9 - (-5): This simplifies to -5 + 9 = 4, and then 4 + 5 = 9. This result is positive.
- Option c) (-9) + 5: This simplifies to -9 + 5 = -4, which is negative.
- d) 9 + 5: This results in 14, which is positive.
Therefore, option c) (-9) + 5 is the correct answer since it equals a negative number.
The correct answer is option a) 5+(-9) + 4.
When two negative numbers add, the answer has a negative sign. In this case, we have -9 + 5 = -4. Adding 5 to -9 gives us a negative number