diff --git a/Doc/reference/simple_stmts.rst b/Doc/reference/simple_stmts.rst
index 2a72af4e9a3299..3f2bcb2a60ee78 100644
--- a/Doc/reference/simple_stmts.rst
+++ b/Doc/reference/simple_stmts.rst
@@ -971,10 +971,17 @@ as globals. It would be impossible to assign to a global variable without
 :keyword:`!global`, although free variables may refer to globals without being
 declared global.
 
-The :keyword:`global` statement applies to the entire scope of a function or
-class body. A :exc:`SyntaxError` is raised if a variable is used or
+The :keyword:`!global` statement applies to the entire current scope
+(module, function body or class definition).
+A :exc:`SyntaxError` is raised if a variable is used or
 assigned to prior to its global declaration in the scope.
 
+At the module level, all variables are global, so a :keyword:`!global`
+statement has no effect.
+However, variables must still not be used or
+assigned to prior to their :keyword:`!global` declaration.
+This requirement is relaxed in the interactive prompt (:term:`REPL`).
+
 .. index::
    pair: built-in function; exec
    pair: built-in function; eval
diff --git a/Doc/tutorial/classes.rst b/Doc/tutorial/classes.rst
index fa964271d79bd8..9ab003d5cd3dd5 100644
--- a/Doc/tutorial/classes.rst
+++ b/Doc/tutorial/classes.rst
@@ -359,7 +359,7 @@ Usually, a method is called right after it is bound::
 
    x.f()
 
-In the :class:`!MyClass` example, this will return the string ``'hello world'``.
+If ``x = MyClass()``, as above, this will return the string ``'hello world'``.
 However, it is not necessary to call a method right away: ``x.f`` is a method
 object, and can be stored away and called at a later time.  For example::