Question

The popuation of monterrey, mexico is 4x10^6 people, and the population of shanghai,china is 2x10^7 people. How many times lager is the population of shanghai compared to monterrey

Answer 1

Answer:

The population of Shanghai is 5 times larger than population of Monterrey.

Step-by-step explanation:

Given:

The population of Monterrey, Mexico is $4\times10^6$ people

The population of Shanghai, China is $2\times10^7$ people.

To find how many times the population of Shanghai is lager than Monterrey.

Solution:

In order to find how many times the population of Shanghai is lager than Monterrey we will find the ratio of populations of Shanghai and  Monterrey.

Thus we divide the population of Shanghai by the population of Monterrey to find how many time the population of Shanghai is larger.

Thus, we have:

$\frac{2\times10^7}{4\times10^6}$

Simplifying by using properties of exponents.

⇒ $\frac{2\times10^{(7-6)}}{4}$  [As $\frac{a^x} ]{a^y}=a^{(x-y)}$

⇒ $\frac{2\times10^{(1)}}{4}$

⇒ $\frac{20}{4}$

⇒ $5$

Thus, we can say that the population of Shanghai is 5 times larger than population of Monterrey.