diff --git a/src/jiffy.erl b/src/jiffy.erl
index 08fa3c0..8b9432f 100644
--- a/src/jiffy.erl
+++ b/src/jiffy.erl
@@ -115,9 +115,17 @@ finish_decode({bignum_e, Value}) ->
             {E, []} = string:to_integer(ExpStr),
             {I, E}
     end,
-    IVal * math:pow(10, EVal);
+    try
+        IVal * math:pow(10, EVal)
+    catch
+        error:badarith -> throw({error, {range, EVal}})
+    end;
 finish_decode({bigdbl, Value}) ->
-    list_to_float(binary_to_list(Value));
+    try
+        list_to_float(binary_to_list(Value))
+    catch
+        error:badarg -> throw({error, {range, Value}})
+    end;
 finish_decode({Pairs}) when is_list(Pairs) ->
     finish_decode_obj(Pairs, []);
 finish_decode(Vals) when is_list(Vals) ->
diff --git a/test/jiffy_03_number_tests.erl b/test/jiffy_03_number_tests.erl
index ac7b95f..f30b52e 100644
--- a/test/jiffy_03_number_tests.erl
+++ b/test/jiffy_03_number_tests.erl
@@ -97,6 +97,8 @@ cases(error) ->
         <<"1E">>,
         <<"1-E2">>,
         <<"2E +3">>,
+        <<"1E3000">>,
+        <<"0.1E30000">>,
         <<"1EA">>
     ];