Question
Question
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
5×109
5 times 10 superscript 9 baseline
5×108
5 times 10 superscript 8 baseline
5×1010
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
5×109
5 times 10 superscript 9 baseline
5×108
5 times 10 superscript 8 baseline
5×1010
Answers
GPT-4o mini
To find out how many more people live in China than in India, we need to perform a simple subtraction of their populations.
China's population: \(1.45 \times 10^9\) (which is 1,450,000,000)
India's population: \(1,400,000,000\) (which can also be written as \(1.4 \times 10^9\))
Now, we can calculate the difference:
\[
1.45 \times 10^9 - 1.4 \times 10^9 = (1.45 - 1.4) \times 10^9 = 0.05 \times 10^9
\]
Now converting \(0.05 \times 10^9\) to scientific notation:
\[
0.05 \times 10^9 = 5 \times 10^{-2} \times 10^9 = 5 \times 10^7
\]
So, the number of more people living in China than in India is \(5 \times 10^7\).
The correct response is:
**5×10^7** (5 times 10 superscript 7 baseline)
China's population: \(1.45 \times 10^9\) (which is 1,450,000,000)
India's population: \(1,400,000,000\) (which can also be written as \(1.4 \times 10^9\))
Now, we can calculate the difference:
\[
1.45 \times 10^9 - 1.4 \times 10^9 = (1.45 - 1.4) \times 10^9 = 0.05 \times 10^9
\]
Now converting \(0.05 \times 10^9\) to scientific notation:
\[
0.05 \times 10^9 = 5 \times 10^{-2} \times 10^9 = 5 \times 10^7
\]
So, the number of more people living in China than in India is \(5 \times 10^7\).
The correct response is:
**5×10^7** (5 times 10 superscript 7 baseline)