Question

Subtract Numbers in Scientific Notation Quick Check
5 of 55 of 5 Items
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

5×109
5 times 10 superscript 9 baseline

5×1010
5 times 10 superscript 10 baseline

5×108
5 times 10 superscript 8 baseline

5×107

Answer 1

To find out how many more people live in China than in India, we need to convert India's population into scientific notation as well.

India's population is approximately 1,400,000,000. In scientific notation, this can be expressed as:
\[ 1.4 \times 10^9 \]

Now let's compare the two populations in scientific notation:
- China's population: \( 1.45 \times 10^9 \)
- India's population: \( 1.4 \times 10^9 \)

Now, we will subtract India's population from China's population:
\[
1.45 \times 10^9 - 1.4 \times 10^9
\]

To perform the subtraction, we can factor out \( 10^9 \):
\[
(1.45 - 1.4) \times 10^9 = 0.05 \times 10^9
\]

Now we convert \( 0.05 \) into scientific notation:
\[
0.05 = 5 \times 10^{-2}
\]

So, we have:
\[
0.05 \times 10^9 = 5 \times 10^{-2} \times 10^9 = 5 \times 10^7
\]

Thus, the final answer is:
**5 × 10^7** (5 times 10 superscript 7 baseline).