Question

Small Town USA has a population of 4•10 to the power of 4. Big town has a population of 2•10 to the power of 5. How many times larger is Big town’s population than Small Town’s

Answer 1

Big town is 5.121 times larger than Small town.

Explanation:

Step 1:

In order to determine how much larger Big town's population is to Small town's population is, we need to convert the exponentials into actual numbers.

Small town's population
`= 4.10* 10^(4) = 41,000.`

Big town's population
`= 2.10* 10^(5) = 210,000.`

Step 2:

In order to determine how much larger Big town's population is to Small town's population is, we divide Big town's population by Small town's population.

`(210,000)/(41,000) = 5.121.`

So Big town is 5.121 times larger than Small town.