China and India are the most populous countries in the world. China’s population is approximately 1.45×109 , while India’s population is approximately 1,400,000,000. How many more people live in China than in India?(1 point) Responses 5×1010 5 times 10 superscript 10 baseline 5×108 5 times 10 superscript 8 baseline 5×107 5 times 10 superscript 7 baseline 5×109

1 answer

To find out how many more people live in China than in India, we can compare their populations.

China's population: \(1.45 \times 10^9\)
India's population: \(1,400,000,000\) \(= 1.4 \times 10^9\)

Now we subtract India's population from China's population:

\[ 1.45 \times 10^9 - 1.4 \times 10^9 = (1.45 - 1.4) \times 10^9 = 0.05 \times 10^9 \]

To express \(0.05 \times 10^9\) in a different form, we can rewrite it as:

\[ 0.05 \times 10^9 = 5 \times 10^{-2} \times 10^9 = 5 \times 10^{7} \]

So, the number of people that live in China than in India is \(5 \times 10^7\).

Thus, the correct response is 5×10^7.