diff --git a/jax_scaled_arithmetics/core/datatype.py b/jax_scaled_arithmetics/core/datatype.py
index 369b881..8857bd1 100644
--- a/jax_scaled_arithmetics/core/datatype.py
+++ b/jax_scaled_arithmetics/core/datatype.py
@@ -120,12 +120,29 @@ def scaled_array(data: ArrayLike, scale: ArrayLike, dtype: DTypeLike = None, npa
     return scaled_array_base(data, scale, dtype, npapi)
 
 
-def as_scaled_array_base(val: Any, scale: Optional[ArrayLike] = None) -> ScaledArray:
+def as_scaled_array_base(val: Any, scale: Optional[ArrayLike] = None) -> Union[Array, ScaledArray]:
     """ScaledArray (helper) base factory method, similar to `(j)np.array`."""
-    scale = np.array(1, dtype=val.dtype) if scale is None else scale
     if isinstance(val, ScaledArray):
         return val
-    elif isinstance(val, (np.ndarray, Array)):
+
+    # FIXME: support general case.
+    assert scale is None or np.float32(scale) == np.float32(1)  # type:ignore
+    # Trivial cases: bool, int, float.
+    if isinstance(val, (bool, int)):
+        return val
+    if isinstance(val, float):
+        return ScaledArray(np.array(1, dtype=np.float32), np.float32(val))
+
+    # Ignored dtypes by default: int and bool
+    ignored_dtype = np.issubdtype(val.dtype, np.integer) or np.issubdtype(val.dtype, np.bool_)
+    if ignored_dtype:
+        return val
+    # Floating point scalar
+    if val.ndim == 0:
+        return ScaledArray(np.array(1, dtype=val.dtype), val)
+
+    scale = np.array(1, dtype=val.dtype) if scale is None else scale
+    if isinstance(val, (np.ndarray, Array)):
         return ScaledArray(val, scale)
     return scaled_array_base(val, scale)
 
@@ -133,6 +150,9 @@ def as_scaled_array_base(val: Any, scale: Optional[ArrayLike] = None) -> ScaledA
 def as_scaled_array(val: Any, scale: Optional[ArrayLike] = None) -> ScaledArray:
     """ScaledArray (helper) factory method, similar to `(j)np.array`.
 
+    NOTE: by default, int and bool values/arrays will be returned unchanged, as
+    in most cases, there is no value representing these as scaled arrays.
+
     Compatible with JAX PyTree.
 
     Args:
diff --git a/tests/core/test_datatype.py b/tests/core/test_datatype.py
index e8f0010..d54ae2c 100644
--- a/tests/core/test_datatype.py
+++ b/tests/core/test_datatype.py
@@ -86,28 +86,49 @@ def test__is_scaled_leaf__consistent_with_jax(self):
         assert is_scaled_leaf(scaled_array(data=[1.0, 2.0], scale=3, dtype=np.float16))
 
     @parameterized.parameters(
-        {"data": np.array(2)},
-        {"data": np.array([1, 2])},
-        {"data": jnp.array([1, 2])},
+        {"data": np.array([1, 2.0])},
+        {"data": jnp.array([1, 2.0])},
     )
     def test__as_scaled_array__unchanged_dtype(self, data):
         output = as_scaled_array(data)
         assert isinstance(output, ScaledArray)
         assert isinstance(output.data, type(data))
-        assert output.dtype == data.dtype
+        assert output.dtype in {np.dtype(np.float32), np.dtype(np.float64)}
         npt.assert_array_almost_equal(output, data)
         npt.assert_array_equal(output.scale, np.array(1, dtype=data.dtype))
         # unvariant when calling a second time.
         assert as_scaled_array(output) is output
 
+    @parameterized.parameters(
+        {"data": 2.1},
+        {"data": np.float64(2.0)},
+        {"data": jnp.float32(2.0)},
+    )
+    def test__as_scaled_array__float_scalar(self, data):
+        output = as_scaled_array(data)
+        assert isinstance(output, ScaledArray)
+        assert output.data.dtype == output.scale.dtype
+        npt.assert_array_almost_equal(output.data, 1)
+        npt.assert_array_almost_equal(output.scale, data)
+
+    @parameterized.parameters(
+        {"data": False},
+        {"data": 2},
+        {"data": np.array([1, 2])},
+        {"data": jnp.array([1, 2])},
+    )
+    def test__as_scaled_array__unscaled_bool_int_output(self, data):
+        output = as_scaled_array(data)
+        assert output is data
+
     def test__as_scaled_array__complex_pytree(self):
-        input = {"x": jnp.array([1, 2]), "y": as_scaled_array(jnp.array([1, 2]))}
+        input = {"x": jnp.array([1, 2]), "y": jnp.array([1.0, 2]), "z": as_scaled_array(jnp.array([1.0, 2]))}
         output = as_scaled_array(input)
         assert isinstance(output, dict)
-        assert len(output) == 2
-        assert isinstance(output["x"], ScaledArray)
-        npt.assert_array_equal(output["x"], input["x"])
-        assert output["y"] is input["y"]
+        assert len(output) == 3
+        assert output["x"] is input["x"]
+        npt.assert_array_equal(output["y"], input["y"])
+        assert output["z"] is input["z"]
 
     @parameterized.parameters(
         {"data": np.array(2)},