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)

Responses

5×107
5 times 10 superscript 7 baseline

5×108
5 times 10 superscript 8 baseline

5×109
5 times 10 superscript 9 baseline

5×1010

1 answer

To find out how many more people live in China than in India, we first need to express both populations in the same format:

  • China's population: \( 1.45 \times 10^9 \) (which is 1,450,000,000)
  • India's population: \( 1,400,000,000 \) (which can be expressed as \( 1.4 \times 10^9 \))

Next, we can subtract India's population from China's population:

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

Now, we can rewrite \( 0.05 \times 10^9 \) in scientific notation.

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

Thus, the number of people by which China's population exceeds India's population is \( 5 \times 10^7 \).

So the correct response is:

5×10⁷