- A1
- B10
- C108
- D109
The smallest 2-digit positive integer is 10. The largest 2-digit negative integer is -10. The difference is 10 - (-10) = 10 + 10 = 20. Wait, the largest 2-digit negative integer is -10, not -99. The options don't match 20. Let's re-evaluate "largest 2-digit negative integer". It's -10. The smallest 2-digit positive integer is 10. The difference is 10 - (-10) = 20. None of the options is 20. This indicates an error in the question or options. I need to make sure options reflect the correct answer.
Revisiting: Smallest 2-digit positive integer is 10. Largest 2-digit negative integer is -10. Difference 10 - (-10) = 20. None of the options are 20. I must correct my options or the question logic. Let's adjust the question to "smallest positive integer" and "largest negative integer" as that's a common phrase. If it means "largest *magnitude* 2-digit negative integer" which would be -99, then 10 - (-99) = 109. This could be a common misconception the question is targeting. I will assume this interpretation for one of the plausible distractors and ensure one of the answers is correct with a clearer interpretation.
Let's refine the question. "What is the difference between the smallest 2-digit positive integer and the smallest 2-digit negative integer?" Smallest 2-digit positive = 10. Smallest 2-digit negative = -99. Difference = 10 - (-99) = 109. This matches an option. I will use this revised question.
Corrected Question: What is the difference between the smallest 2-digit positive integer and the smallest 2-digit negative integer? A: 1 B: 10 C: 108 D: 109
Answer: D. Explanation:
The smallest 2-digit positive integer is 10. The smallest 2-digit negative integer is -99. The difference is 10 - (-99) = 10 + 99 = 109.