# Station 5**Explaining the 1 ← 3 Machine**

In a $1 \leftarrow 3$ machine, three dots in any one box are equivalent to one dot, one place their left.

(Starting with each dot in the rightmost box again worth $1$.)

The values of individual dots throughout this machine come from noting that three ones is $3$, three threes is $9$, three nines is $27$, and so on.