To determine how many times greater \( 9.75 \times 10^6 \) is than \( 1.25 \times 10^2 \), you can divide the first number by the second number:
\[ \frac{9.75 \times 10^6}{1.25 \times 10^2} \]
This simplifies to:
\[ \frac{9.75}{1.25} \times \frac{10^6}{10^2} \]
Calculating \( \frac{9.75}{1.25} \):
\[ = 7.8 \]
Calculating \( \frac{10^6}{10^2} \):
\[ = 10^{6-2} = 10^4 \]
Now combine the two results:
\[ 7.8 \times 10^4 \]
Now express \( 7.8 \times 10^4 \) in standard form:
\[ = 78,000 \]
Therefore, \( 9.75 \times 10^6 \) is 78,000 times greater than \( 1.25 \times 10^2 \).
The correct response is:
78,000
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