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

3.3×109
3.3 times 10 superscript 9 baseline

7.35×109
7.35 times 10 superscript 9 baseline

8.25×109
8.25 times 10 superscript 9 baseline

12.3×109

1 answer

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

World population in 1500 CE: \(4.5 \times 10^8\)

World population in 2020: \(7.8 \times 10^9\)

Now, we perform the subtraction:

\[ 7.8 \times 10^9 - 4.5 \times 10^8 \]

To subtract these numbers, it's helpful to express them with the same exponent. \(4.5 \times 10^8\) can be written as \(0.45 \times 10^9\) (which is \(4.5 \times 10^8\) multiplied by \(10^{1}\) to adjust the exponent).

Now we can set up the subtraction:

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

Calculating \(7.8 - 0.45\):

\[ 7.8 - 0.45 = 7.35 \]

Now, we can write it as:

\[ 7.35 \times 10^9 \]

So, the increase in the world's population is:

7.35×10^9 (or 7.35 times 10 superscript 9 baseline).