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

5×1010
5 times 10 superscript 10 baseline

5×107
5 times 10 superscript 7 baseline

5×108
5 times 10 superscript 8 baseline

5×109
5 times 10 superscript 9 baseline
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Answer 1

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.

1. China's population is given as \(1.45 \times 10^9\).
2. 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).