Scientific Notation Online Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
10 of 1510 of 15 Items

Question
In 1500 CE, the world’s population was about 4.5×108
. In 2020, the world’s population was about 7.8×109
. Find how much the world’s population increased. (1 point)
Responses

8.25×109
8.25 times 10 superscript 9 baseline

12.3×109
12.3 times 10 superscript 9 baseline

7.35×109
7.35 times 10 superscript 9 baseline

3.3×109

Answer 1

To find out how much the world’s population increased from 1500 CE to 2020, you subtract the population in 1500 from the population in 2020.

Population in 2020: \( 7.8 \times 10^9 \)
Population in 1500: \( 4.5 \times 10^8 \)

To perform the subtraction, we need both numbers to be expressed in the same power of ten. We can convert \( 4.5 \times 10^8 \) to \( 0.45 \times 10^9 \).

Now we can rewrite the subtraction:

\[ 7.8 \times 10^9 - 0.45 \times 10^9 = (7.8 - 0.45) \times 10^9 = 7.35 \times 10^9 \]

So the increase in the world’s population is \( 7.35 \times 10^9 \).

The correct response is:

7.35×10^9