diff --git a/src/floats.jl b/src/floats.jl
index d6ec4b5..b5ce7be 100644
--- a/src/floats.jl
+++ b/src/floats.jl
@@ -291,6 +291,11 @@ end
         if negexp || b == UInt8('+')
             pos += 1
             incr!(source)
+            if eof(source, pos, len)
+                # it's an error to have a "dangling" '-' or '+', so input was something like "1.1e-"
+                code |= INVALID | EOF
+                @goto done
+            end
         end
         b = peekbyte(source, pos) - UInt8('0')
         if b > 0x09
diff --git a/test/floats.jl b/test/floats.jl
index 820a35e..c2c7217 100644
--- a/test/floats.jl
+++ b/test/floats.jl
@@ -363,4 +363,7 @@ for _ = 1:1000
     @test Base.parse(Float16, str) === Parsers.parse(Float16, str)
 end
 
+# discovered from JSON tests
+@test Parsers.tryparse(Float64, "0e+") === nothing
+
 end # @testset