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

5×1010
5 times 10 superscript 10 baseline

5×107
5 times 10 superscript 7 baseline

5×108
5 times 10 superscript 8 baseline

5×109

1 answer

To find out how many more people live in China than in India, we can subtract India's population from China's population.

  1. China's population: \(1.45 \times 10^9\)
  2. India's population: \(1,400,000,000\) which is equal to \(1.4 \times 10^9\)

Now we can do the subtraction:

\[ 1.45 \times 10^9 - 1.4 \times 10^9 \]

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

\[ = 0.05 \times 10^9 \]

To express \(0.05\) in scientific notation, we can write:

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

So:

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

Thus, the number of more people living in China than in India is:

\[ 5 \times 10^{7} \]

So the answer is:

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