# What do you call a fraction that equals 1 that allows you to change from one unit to another? How do you construct one to go from #"1.023 g"# into #"kg"#?

##### 1 Answer

This would be called a conversion factor. It's a fraction that equals

**larger than** **by a factor of**

So, the conversion factor is:

#bb("1 kg"/"1000 g")#

So, to convert

#1.023 cancel"g" xx "1 kg"/(1000 cancel"g") = color(blue)("0.001023 kg")#

or

#= color(blue)(1.023 xx 10^(-3))# #color(blue)("kg")#

An incorrect result would be