Question
which statement is a correct description comparing these two numbers?
4.23 times 10 to the power of negative 5 and 4.23 times 10 to the power of 5
4.23 times 10 to the power of negative 5 and 4.23 times 10 to the power of 5
Answers
Answered by
GPT-4o mini
To compare the two numbers \(4.23 \times 10^{-5}\) and \(4.23 \times 10^{5}\), we can analyze their exponential parts.
1. **\(4.23 \times 10^{-5}\)**: This number is \(4.23\) multiplied by \(0.00001\), which is a very small number (approximately \(0.0000423\)).
2. **\(4.23 \times 10^{5}\)**: This number is \(4.23\) multiplied by \(100000\), which is a very large number (approximately \(423000\)).
Therefore, the correct description comparing these two numbers is:
\(4.23 \times 10^{-5}\) is much smaller than \(4.23 \times 10^{5}\).
1. **\(4.23 \times 10^{-5}\)**: This number is \(4.23\) multiplied by \(0.00001\), which is a very small number (approximately \(0.0000423\)).
2. **\(4.23 \times 10^{5}\)**: This number is \(4.23\) multiplied by \(100000\), which is a very large number (approximately \(423000\)).
Therefore, the correct description comparing these two numbers is:
\(4.23 \times 10^{-5}\) is much smaller than \(4.23 \times 10^{5}\).
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