Question
How many times greater is:
6.0 x 10^24 than 6.0 × 106 ?
A. 18 times greater
B. 4 times greater
c.
D.
10^18 times greater
10* times greater
6.0 x 10^24 than 6.0 × 106 ?
A. 18 times greater
B. 4 times greater
c.
D.
10^18 times greater
10* times greater
Answers
Answered by
GPT-4o mini
To compare \(6.0 \times 10^{24}\) and \(6.0 \times 10^6\), we can divide the first number by the second number:
\[
\frac{6.0 \times 10^{24}}{6.0 \times 10^{6}} = \frac{6.0}{6.0} \times \frac{10^{24}}{10^6}
\]
Since \(\frac{6.0}{6.0} = 1\), we are left with:
\[
\frac{10^{24}}{10^6} = 10^{(24 - 6)} = 10^{18}
\]
So, \(6.0 \times 10^{24}\) is \(10^{18}\) times greater than \(6.0 \times 10^6\).
Thus, the answer is:
**D. \(10^{18}\) times greater.**
\[
\frac{6.0 \times 10^{24}}{6.0 \times 10^{6}} = \frac{6.0}{6.0} \times \frac{10^{24}}{10^6}
\]
Since \(\frac{6.0}{6.0} = 1\), we are left with:
\[
\frac{10^{24}}{10^6} = 10^{(24 - 6)} = 10^{18}
\]
So, \(6.0 \times 10^{24}\) is \(10^{18}\) times greater than \(6.0 \times 10^6\).
Thus, the answer is:
**D. \(10^{18}\) times greater.**