diff --git a/src/Data/NumIdr/Scalar.idr b/src/Data/NumIdr/Scalar.idr
index 2e34740..d4f9d42 100644
--- a/src/Data/NumIdr/Scalar.idr
+++ b/src/Data/NumIdr/Scalar.idr
@@ -8,7 +8,7 @@ import public Data.NumIdr.Array
 %default total
 
 ||| Scalars are `Array []`, the unique 0-rank array type. They hold a single value.
-||| Scalars are not particularly useful as container types, but they are
+||| Scalars are not particularly useful as data structures, but they are
 ||| included here anyways.
 public export
 Scalar : Type -> Type
@@ -29,3 +29,11 @@ unwrap = index 0 . getPrim
 export
 Num a => Mult (Scalar a) (Scalar a) (Scalar a) where
   (*.) = (*)
+
+export
+Num a => MultMonoid (Scalar a) where
+  identity = scalar 1
+
+export
+Fractional a => MultGroup (Scalar a) where
+  inverse = recip