How many times greater is 9.75×106 than 1.25×102?

Responses

7.8
7.8

7800
7800

78,000
78,000

780,000

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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**