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

5×1010
5 times 10 superscript 10 baseline

5×108
5 times 10 superscript 8 baseline

5×107
5 times 10 superscript 7 baseline

5×109

1 answer

To find how many more people live in China than in India, we start with the population figures you provided:

  • China's population: \( 1.45 \times 10^9 \)
  • India's population: \( 1,400,000,000 \) (which is equivalent to \( 1.4 \times 10^9 \))

Now, we calculate the difference:

\[ 1.45 \times 10^9 - 1.4 \times 10^9 \]

We can factor out \( 10^9 \):

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

Now, convert \( 0.05 \) to scientific notation:

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

Thus, we have:

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

So, the answer is: \[ 5 \times 10^7 \]

Therefore, the correct response is:

5 × 10⁷