Which number is greater than 0.02, but less than 0.20? A. 0.03 B. 0.30 C. 0.01 D. 1.00
The Correct Answer and Explanation is :
The correct answer is A. 0.03.
To understand why 0.03 is the correct answer, let’s analyze the conditions stated in the question: the number must be greater than 0.02 but less than 0.20.
First, we will evaluate each of the options:
- Option A: 0.03
- To check if 0.03 meets the criteria, we compare it to 0.02 and 0.20.
- Since 0.03 is greater than 0.02 (0.03 > 0.02) and less than 0.20 (0.03 < 0.20), it satisfies both conditions.
- Option B: 0.30
- Comparing 0.30 to the criteria, we find that 0.30 is not less than 0.20 (0.30 > 0.20).
- Therefore, it does not meet the criteria.
- Option C: 0.01
- When we compare 0.01 to the criteria, we see that 0.01 is not greater than 0.02 (0.01 < 0.02).
- Thus, it does not satisfy the conditions.
- Option D: 1.00
- Finally, 1.00 is much greater than both 0.02 and 0.20 (1.00 > 0.20).
- Hence, it does not meet the criteria either.
From this analysis, it is clear that the only option that fits within the range of being greater than 0.02 and less than 0.20 is 0.03.
In mathematics, when working with decimal numbers, it’s crucial to consider the place values to understand their relative sizes. The number 0.03 is in the hundredths place, whereas the others (0.30, 0.01, and 1.00) either exceed the upper limit or fall below the lower limit set by the question. Thus, understanding the concept of number comparisons and their decimal places is vital for correctly answering such questions.