China and India are the most populous countries in the world. China’s population is approximately 1.45×10^9

, while India’s population is approximately 1,400,000,000. How many more people live in China than in India?(1 point)
Responses

5×109
5 times 10 superscript 9 baseline

5×108
5 times 10 superscript 8 baseline

5×107
5 times 10 superscript 7 baseline

5×1010

1 answer

To determine how many more people live in China than in India, we need to compare the two populations.

China's population is approximately \(1.45 \times 10^9\).

India's population is \(1,400,000,000\), which can be rewritten in scientific notation as \(1.4 \times 10^9\).

Next, we find the difference between China's population and India's population:

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

Now, we can express \(0.05 \times 10^9\) in standard scientific notation:

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

Therefore, the difference in population is \(5 \times 10^{7}\).

Thus, the correct response is:

5×10^7 (5 times 10 superscript 7 baseline).