diff --git a/src/lenient_parse/internal/build.gleam b/src/lenient_parse/internal/build.gleam
index ac9b8c5..10b5415 100644
--- a/src/lenient_parse/internal/build.gleam
+++ b/src/lenient_parse/internal/build.gleam
@@ -8,10 +8,10 @@ pub fn float_value(
   is_positive is_positive: Bool,
   whole_digits whole_digits: Queue(Int),
   fractional_digits fractional_digits: Queue(Int),
-  exponent exponent: Int,
+  scale_factor scale_factor: Int,
 ) -> Float {
   let #(whole_digits, fractional_digits) =
-    scale.queues(whole_digits, fractional_digits, exponent)
+    scale.queues(whole_digits, fractional_digits, scale_factor)
   let fractional_digits_length = fractional_digits |> queue.length
   let #(all_digits, _) =
     scale.queues(whole_digits, fractional_digits, fractional_digits_length)
diff --git a/src/lenient_parse/internal/parser.gleam b/src/lenient_parse/internal/parser.gleam
index 191efaf..a0c6d95 100644
--- a/src/lenient_parse/internal/parser.gleam
+++ b/src/lenient_parse/internal/parser.gleam
@@ -105,7 +105,7 @@ pub fn parse_float(tokens tokens: List(Token)) -> Result(Float, ParseError) {
         is_positive: is_positive,
         whole_digits: whole_digits,
         fractional_digits: fractional_digits,
-        exponent: exponent,
+        scale_factor: exponent,
       ))
   }
 }
diff --git a/test/build_test.gleam b/test/build_test.gleam
new file mode 100644
index 0000000..ac40309
--- /dev/null
+++ b/test/build_test.gleam
@@ -0,0 +1,43 @@
+import gleam/queue
+import lenient_parse/internal/build
+import startest/expect
+
+pub fn build_float_empty_fractional_test() {
+  build.float_value(
+    is_positive: True,
+    whole_digits: queue.from_list([1]),
+    fractional_digits: queue.from_list([]),
+    scale_factor: 0,
+  )
+  |> expect.to_equal(1.0)
+}
+
+pub fn build_float_explicit_0_fractional_test() {
+  build.float_value(
+    is_positive: True,
+    whole_digits: queue.from_list([1]),
+    fractional_digits: queue.from_list([0]),
+    scale_factor: 0,
+  )
+  |> expect.to_equal(1.0)
+}
+
+pub fn build_float_empty_whole_test() {
+  build.float_value(
+    is_positive: True,
+    whole_digits: queue.from_list([]),
+    fractional_digits: queue.from_list([1]),
+    scale_factor: 0,
+  )
+  |> expect.to_equal(0.1)
+}
+
+pub fn build_float_explicit_0_whole_test() {
+  build.float_value(
+    is_positive: True,
+    whole_digits: queue.from_list([0]),
+    fractional_digits: queue.from_list([1]),
+    scale_factor: 0,
+  )
+  |> expect.to_equal(0.1)
+}