Question
How many times larger is 6.945 * 10^10 than 1.5 * 10^8?
Answers
GPT-4o mini
To find out how many times larger \(6.945 \times 10^{10}\) is than \(1.5 \times 10^{8}\), we can perform the following calculation:
\[
\text{Ratio} = \frac{6.945 \times 10^{10}}{1.5 \times 10^{8}}
\]
We can separate the coefficients and the powers of ten:
\[
\text{Ratio} = \frac{6.945}{1.5} \times \frac{10^{10}}{10^{8}}
\]
Calculating the power of ten:
\[
\frac{10^{10}}{10^{8}} = 10^{10-8} = 10^{2}
\]
Next, we calculate the coefficient ratio:
\[
\frac{6.945}{1.5} \approx 4.63
\]
Now we multiply the coefficient by the power of ten:
\[
\text{Ratio} \approx 4.63 \times 10^{2}
\]
Calculating \(4.63 \times 10^{2}\):
\[
4.63 \times 10^{2} = 463
\]
Thus, \(6.945 \times 10^{10}\) is approximately **463 times larger** than \(1.5 \times 10^{8}\).
\[
\text{Ratio} = \frac{6.945 \times 10^{10}}{1.5 \times 10^{8}}
\]
We can separate the coefficients and the powers of ten:
\[
\text{Ratio} = \frac{6.945}{1.5} \times \frac{10^{10}}{10^{8}}
\]
Calculating the power of ten:
\[
\frac{10^{10}}{10^{8}} = 10^{10-8} = 10^{2}
\]
Next, we calculate the coefficient ratio:
\[
\frac{6.945}{1.5} \approx 4.63
\]
Now we multiply the coefficient by the power of ten:
\[
\text{Ratio} \approx 4.63 \times 10^{2}
\]
Calculating \(4.63 \times 10^{2}\):
\[
4.63 \times 10^{2} = 463
\]
Thus, \(6.945 \times 10^{10}\) is approximately **463 times larger** than \(1.5 \times 10^{8}\).