In 1500 CE, the world’s population was about 4.5×10^8

Question

. In 2020, the world’s population was about 7.8×10^9
. Find how much the world’s population increased. (1 point)
Responses

8.25×109
8 point 2 5 times 10 to the 9th power - no response given

12.3×109
12 point 3 times 10 to the 9th power - no response given

7.35×10^9

Answer 1

To calculate the increase in the world’s population from 1500 CE to 2020, we subtract the population in 1500 CE from the population in 2020.

Given:

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

Calculating the increase:

\[ \text{Increase} = \text{Population in 2020} - \text{Population in 1500 CE} \]

First, we need to express both populations in the same order of magnitude. We can convert \( 4.5 \times 10^8 \) to be in terms of \( 10^9 \):

\[ 4.5 \times 10^8 = 0.45 \times 10^9 \]

Now, substituting back into the increase calculation:

\[ \text{Increase} = 7.8 \times 10^9 - 0.45 \times 10^9 \]

Combining these:

\[ \text{Increase} = (7.8 - 0.45) \times 10^9 = 7.35 \times 10^9 \]

Therefore, the world's population increased by \( \mathbf{7.35 \times 10^9} \).