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)

Question

Responses

5×1010
5 times 10 superscript 10 baseline

5×107
5 times 10 superscript 7 baseline

5×109
5 times 10 superscript 9 baseline

5×108

Answer 1

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

China's population: \(1.45 \times 10^9\)
India's population: \(1.4 \times 10^9\)

Now let's perform 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 \(0.05 \times 10^9\) in scientific notation, we can convert \(0.05\) to \(5 \times 10^{-2}\):

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

Thus, the difference in population, or how many more people live in China than in India, is:

5 × 10^7