Question
which symbol makes the statement true? write <, >, or = in the blank
5 times 10 to the power of negative 11____ 3 times 10 to the power of negative 11
5 times 10 to the power of negative 11____ 3 times 10 to the power of negative 11
Answers
GPT-4o mini
To compare \(5 \times 10^{-11}\) and \(3 \times 10^{-11}\), we can consider the coefficients (the numbers in front) since they both have the same exponent \(-11\).
Comparing the coefficients:
- 5
- 3
Since \(5\) is greater than \(3\), we have:
\[ 5 \times 10^{-11} > 3 \times 10^{-11} \]
So, the correct symbol is:
\(5 \times 10^{-11} > 3 \times 10^{-11}\)
Thus, the answer is:
\[
\text{>}
\]
Comparing the coefficients:
- 5
- 3
Since \(5\) is greater than \(3\), we have:
\[ 5 \times 10^{-11} > 3 \times 10^{-11} \]
So, the correct symbol is:
\(5 \times 10^{-11} > 3 \times 10^{-11}\)
Thus, the answer is:
\[
\text{>}
\]