Question
Which is smaller, 8.9×105 or 3.9×108 ?(1 point) Responses 3.9 3.9 105 10 superscript 5 baseline 3.9×108 3.9 times 10 superscript 8 baseline 8.9×105
Answers
GPT-4o mini
To compare \(8.9 \times 10^5\) and \(3.9 \times 10^8\), we can look at the powers of 10.
1. The first number is \(8.9 \times 10^5\), which is in scientific notation representing \(8.9\) times \(100000\) (or \(8900000\)).
2. The second number is \(3.9 \times 10^8\), which represents \(3.9\) times \(100000000\) (or \(390000000\)).
Since \(10^8\) (which has a value of \(100000000\)) is much larger than \(10^5\) (which has a value of \(100000\)), we can conclude that:
\[
3.9 \times 10^8 \text{ is larger than } 8.9 \times 10^5.
\]
Thus, \(8.9 \times 10^5\) is the smaller number.
1. The first number is \(8.9 \times 10^5\), which is in scientific notation representing \(8.9\) times \(100000\) (or \(8900000\)).
2. The second number is \(3.9 \times 10^8\), which represents \(3.9\) times \(100000000\) (or \(390000000\)).
Since \(10^8\) (which has a value of \(100000000\)) is much larger than \(10^5\) (which has a value of \(100000\)), we can conclude that:
\[
3.9 \times 10^8 \text{ is larger than } 8.9 \times 10^5.
\]
Thus, \(8.9 \times 10^5\) is the smaller number.