Question

The mass of a moon rock is 3.5 kilograms. What is the mass of the moon rock in grams?

Answer 1

`3.5xx10^3g`

Explanation:

In order to figure out the number of grams in 3.5 kilograms, 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(pink)("Quantity Given:"` 3.5 kilograms

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

`color(red)("Quantity Sought:"` grams

Let's plug in our values:

`3.5cancel"kg"xx(1000g)/(1cancel"kg")` = `3.5xx10^3g`