diff --git a/strings/base_module_numerics_ixx.h b/strings/base_module_numerics_ixx.h
index f1ade01ff..6b4ca8aa6 100644
--- a/strings/base_module_numerics_ixx.h
+++ b/strings/base_module_numerics_ixx.h
@@ -4,3 +4,12 @@
 #if defined(_MSC_VER)
 #pragma detect_mismatch("C++/WinRT version", CPPWINRT_VERSION)
 #endif
+
+// Windows SDK's windowsnumerics.impl.h transitively includes <stdexcept> and
+// <limits>, while mingw-w64's transitively includes <algorithm> and <cmath>.
+// Including them in advance here keeps them out of the module purview.
+
+#include <stdexcept>
+#include <limits>
+#include <algorithm>
+#include <cmath>