china and india are the most populous countries in the world. chinas population is approximately 1.45 x 10^9, while india's population is approximately 1,400,000,000 how many more people live in china than in india in scientific notation

1 answer

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 is given as \(1,400,000,000\), which can also be expressed in scientific notation as \(1.4 \times 10^9\).

Now, we subtract the two populations:

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

To express \(0.05 \times 10^9\) in proper scientific notation, we need to adjust it to have a coefficient between 1 and 10:

\[ 0.05 \times 10^9 = 5.0 \times 10^{-2} \times 10^9 = 5.0 \times 10^{7} \]

Thus, the difference in population between China and India is:

\[ \boxed{5.0 \times 10^7} \]

This means there are approximately 50 million more people living in China than in India.