To find out how many more people live in China than in India, we need to express both populations in scientific notation and then perform the subtraction.
- China's population is given as \(1.45 \times 10^9\).
- India's population of 1,400,000,000 can be expressed in scientific notation as \(1.4 \times 10^9\).
Next, we subtract India's population from China's population:
\[ 1.45 \times 10^9 - 1.4 \times 10^9 \]
To perform this subtraction, we can align the numbers since they have the same power of ten:
\[ (1.45 - 1.4) \times 10^9 = 0.05 \times 10^9 \]
To express \(0.05 \times 10^9\) in scientific notation, we convert \(0.05\) to \(5.0\) by moving the decimal place one place to the right, which in turn requires we subtract 1 from the exponent:
\[ 0.05 \times 10^9 = 5.0 \times 10^8 \]
Thus, the final answer is:
\[ 5 \times 10^8 \]
The correct response is 5×10^8 (5 times 10 superscript 8 baseline).
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