Janiya found that her playlist will play for 3.8×102 seconds, 6.3 ×105minutes, 1.05 ×104 hours, or 4.39814 ×102 days. Which answer uses the most appropriate units?(1 point)
Responses
A 3.8×10^7 seconds
B 4.39814×10^2 days
C 1.05 ×10^4 hours
D 6.3 ×10^5 minutes
To determine which answer uses the most appropriate units, we need to convert all the given values to the same unit of time.
Starting with the original values:
- 3.8 × 10^2 seconds
- 6.3 × 10^5 minutes
- 1.05 × 10^4 hours
- 4.39814 × 10^2 days
To convert minutes to seconds, we multiply by 60:
6.3 × 10^5 minutes = 6.3 × 10^5 × 60 seconds = 3.78 × 10^7 seconds
To convert hours to seconds, we multiply by 3600:
1.05 × 10^4 hours = 1.05 × 10^4 × 3600 seconds = 3.78 × 10^7 seconds
To convert days to seconds, we multiply by 86400:
4.39814 × 10^2 days = 4.39814 × 10^2 × 86400 seconds = 3.8 × 10^7 seconds
As we can see, all the values can be represented as 3.8 × 10^7 seconds. Therefore, the answer with the most appropriate units is A) 3.8 × 10^7 seconds.
To determine the most appropriate units, we need to find the largest value among the four options provided.
Converting each option to seconds:
A) 3.8 × 10^2 seconds = 380 seconds
B) 4.39814 × 10^2 days = 439.814 days = 439.814 * 24 * 60 * 60 seconds = 37,989,696 seconds
C) 1.05 × 10^4 hours = 10,500 hours = 10,500 * 60 * 60 seconds = 37,800,000 seconds
D) 6.3 × 10^5 minutes = 630,000 minutes = 630,000 * 60 seconds = 37,800,000 seconds
Comparing these values, we can see that the largest value is 37,989,696 seconds, which corresponds to option B. Therefore, the most appropriate units are **4.39814 × 10^2 days** (Option B).