To find out how many more people live in China than in India, we first need to express India's population in scientific notation for easier comparison. India's population is given as approximately 400,000,000, which can be expressed as:
\[ 400,000,000 = 4.0 \times 10^8 \]
Now, we can calculate the difference between China's and India's populations:
- China's population: \( 1.45 \times 10^9 \)
- India's population: \( 4.0 \times 10^8 \)
Now we subtract India's population from China's population:
\[ 1.45 \times 10^9 - 4.0 \times 10^8 \]
To do this subtraction, it can be helpful to express \( 4.0 \times 10^8 \) in terms of \( 10^9 \):
\[ 4.0 \times 10^8 = 0.4 \times 10^9 \]
Now substitute this into the equation:
\[ 1.45 \times 10^9 - 0.4 \times 10^9 = (1.45 - 0.4) \times 10^9 = 1.05 \times 10^9 \]
Thus, the difference in population, or how many more people live in China than in India, is:
\[ 1.05 \times 10^9 \]
In decimal form, this is approximately 1,050,000,000 people. Therefore, approximately 1.05 billion more people live in China than in India.