Question

How do you convert 23 kilometers to meters?

Answer 1

`2.3xx10^4 m`

Explanation:

In order to figure out the number of meters in 23 kilometers, we're going to use dimensional analysis (method that allows you to convert from one unit of measurement to another by cancelling out unwanted units) and the relationship below:

For questions like this I use the following technique:

`"Quantity Given" xx "Conversion Factor" = "Quantity Sought"`

`color(red)("Quantity Given:"` 23 kilometers

`color(blue)("Conversion Factor:"` 1000

`color(orange)("Quantity Sought:"` meters

Let's plug in our values:

`23cancel"km"xx(1000m)/(1cancel"km")` = `2.3xx10^4 m`