diff --git a/README.md b/README.md
index 1ef47a0..bf5e7c6 100644
--- a/README.md
+++ b/README.md
@@ -38,7 +38,7 @@ This is Datadog-specific since that's currently the only adapter.
 ## Adapters
 
 * [Datadog](https://github.com/spandex-project/spandex_datadog)
-* Thats it so far! If you want another adapter, it should be relatively easy to
+* That's it so far! If you want another adapter, it should be relatively easy to
   write! This library is in charge of handling the state management of spans,
   and the adapter is just in charge of generating certain values and ultimately
   sending the values to the service.
diff --git a/lib/spandex.ex b/lib/spandex.ex
index ba95749..72e67fe 100644
--- a/lib/spandex.ex
+++ b/lib/spandex.ex
@@ -308,7 +308,7 @@ defmodule Spandex do
 
   ### DEPRECATION WARNING
 
-  Expect changes to this in the future, as this will eventualy be refactored to
+  Expect changes to this in the future, as this will eventually be refactored to
   only ever return a `%SpanContext{}`, or at least to always return something
   consistent.
   """