Question
Which is smaller, 8.9×105 or 3.9×108 ?(1 point) Responses 3.9×108 3.9 times 10 superscript 8 baseline 105 10 superscript 5 baseline 3.9 3.9 8.9×105
Answers
GPT-4o mini
To compare \(8.9 \times 10^5\) and \(3.9 \times 10^8\), we can convert both numbers to the same power of ten for easier comparison.
1. Convert \(3.9 \times 10^8\) to the same power of ten as \(8.9 \times 10^5\):
\[
3.9 \times 10^8 = 3.9 \times 10^5 \times 10^3 = 3.9 \times 10^5 \times 1000
\]
Thus, \(3.9 \times 10^8 = 3900 \times 10^5\).
2. Now we compare \(8.9 \times 10^5\) with \(3900 \times 10^5\):
\[
8.9 < 3900
\]
Therefore, \(8.9 \times 10^5\) is smaller than \(3.9 \times 10^8\).
The answer is \(8.9 \times 10^5\).
1. Convert \(3.9 \times 10^8\) to the same power of ten as \(8.9 \times 10^5\):
\[
3.9 \times 10^8 = 3.9 \times 10^5 \times 10^3 = 3.9 \times 10^5 \times 1000
\]
Thus, \(3.9 \times 10^8 = 3900 \times 10^5\).
2. Now we compare \(8.9 \times 10^5\) with \(3900 \times 10^5\):
\[
8.9 < 3900
\]
Therefore, \(8.9 \times 10^5\) is smaller than \(3.9 \times 10^8\).
The answer is \(8.9 \times 10^5\).