diff --git a/pandas/core/dtypes/common.py b/pandas/core/dtypes/common.py
index b2b74e2a70ca9..ae0744f25c57d 100644
--- a/pandas/core/dtypes/common.py
+++ b/pandas/core/dtypes/common.py
@@ -1576,7 +1576,9 @@ def is_numeric_dtype(arr_or_dtype):
     >>> is_numeric_dtype(np.array([], dtype=np.timedelta64))
     False
     """
-
+    if is_extension_array_dtype(arr_or_dtype):
+        dtype = getattr(arr_or_dtype, 'dtype', arr_or_dtype)
+        return dtype._is_numeric
     return _is_dtype_type(
         arr_or_dtype, classes_and_not_datetimelike(np.number, np.bool_))
 
diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index df7003ecf000e..254f096fb8020 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -41,8 +41,8 @@
     is_bool_dtype, is_datetime64_any_dtype, is_datetime64tz_dtype,
     is_dict_like, is_dtype_equal, is_extension_array_dtype, is_extension_type,
     is_float_dtype, is_integer, is_integer_dtype, is_iterator, is_list_like,
-    is_named_tuple, is_nested_list_like, is_object_dtype, is_scalar,
-    is_sequence, needs_i8_conversion)
+    is_named_tuple, is_nested_list_like, is_numeric_dtype, is_object_dtype,
+    is_scalar, is_sequence, needs_i8_conversion)
 from pandas.core.dtypes.generic import (
     ABCDataFrame, ABCIndexClass, ABCMultiIndex, ABCSeries)
 from pandas.core.dtypes.missing import isna, notna
@@ -3265,6 +3265,19 @@ def _get_info_slice(obj, indexer):
         for dtypes in (include, exclude):
             invalidate_string_dtypes(dtypes)
 
+        def add_extension_types(dtypes, search_dtype, func):
+            """Adds bool or numeric extension types to include/exclude"""
+            extension_dtypes = [dtype.type for dtype in self.dtypes
+                                if is_extension_array_dtype(dtype) and
+                                func(dtype)]
+            if search_dtype in dtypes:
+                return frozenset(dtypes.union(extension_dtypes))
+            else:
+                return dtypes
+        include = add_extension_types(include, np.number, is_numeric_dtype)
+        exclude = add_extension_types(exclude, np.number, is_numeric_dtype)
+        include = add_extension_types(include, np.bool_, is_bool_dtype)
+        exclude = add_extension_types(exclude, np.bool_, is_bool_dtype)
         # can't both include AND exclude!
         if not include.isdisjoint(exclude):
             raise ValueError('include and exclude overlap on {inc_ex}'.format(