diff --git a/src/ragged/_spec_array_object.py b/src/ragged/_spec_array_object.py
index c430872..e212b29 100644
--- a/src/ragged/_spec_array_object.py
+++ b/src/ragged/_spec_array_object.py
@@ -179,7 +179,7 @@ def __init__(
                 msg = f"unsupported __dlpack_device__ type: {device_type}"
                 raise TypeError(msg)
 
-        elif isinstance(obj, (bool, numbers.Real)):
+        elif isinstance(obj, (bool, numbers.Complex)):
             self._impl = np.array(obj)
             self._shape, self._dtype = (), self._impl.dtype
 
diff --git a/src/ragged/_spec_elementwise_functions.py b/src/ragged/_spec_elementwise_functions.py
index b40967b..ba07e34 100644
--- a/src/ragged/_spec_elementwise_functions.py
+++ b/src/ragged/_spec_elementwise_functions.py
@@ -960,9 +960,7 @@ def multiply(x1: array, x2: array, /) -> array:
     https://data-apis.org/array-api/latest/API_specification/generated/array_api.multiply.html
     """
 
-    assert x1, "TODO"
-    assert x2, "TODO"
-    assert False, "TODO 92"
+    return _box(type(x1), np.multiply(*_unbox(x1, x2)))
 
 
 def negative(x: array, /) -> array:
@@ -980,8 +978,7 @@ def negative(x: array, /) -> array:
     https://data-apis.org/array-api/latest/API_specification/generated/array_api.negative.html
     """
 
-    assert x, "TODO"
-    assert False, "TODO 93"
+    return _box(type(x), np.negative(*_unbox(x)))
 
 
 def not_equal(x1: array, x2: array, /) -> array:
@@ -1001,9 +998,7 @@ def not_equal(x1: array, x2: array, /) -> array:
     https://data-apis.org/array-api/latest/API_specification/generated/array_api.not_equal.html
     """
 
-    assert x1, "TODO"
-    assert x2, "TODO"
-    assert False, "TODO 94"
+    return _box(type(x1), np.not_equal(*_unbox(x1, x2)))
 
 
 def positive(x: array, /) -> array:
@@ -1021,8 +1016,7 @@ def positive(x: array, /) -> array:
     https://data-apis.org/array-api/latest/API_specification/generated/array_api.positive.html
     """
 
-    assert x, "TODO"
-    assert False, "TODO 95"
+    return _box(type(x), np.positive(*_unbox(x)))
 
 
 def pow(x1: array, x2: array, /) -> array:  # pylint: disable=W0622
@@ -1045,9 +1039,7 @@ def pow(x1: array, x2: array, /) -> array:  # pylint: disable=W0622
     https://data-apis.org/array-api/latest/API_specification/generated/array_api.pow.html
     """
 
-    assert x1, "TODO"
-    assert x2, "TODO"
-    assert False, "TODO 96"
+    return _box(type(x1), np.power(*_unbox(x1, x2)))
 
 
 def real(x: array, /) -> array:
@@ -1067,8 +1059,14 @@ def real(x: array, /) -> array:
     https://data-apis.org/array-api/latest/API_specification/generated/array_api.real.html
     """
 
-    assert x, "TODO"
-    assert False, "TODO 97"
+    (a,) = _unbox(x)
+    with warnings.catch_warnings():
+        warnings.simplefilter("ignore")
+        return _box(
+            type(x),
+            (a + np.conjugate(a)) / 2,
+            dtype=np.dtype(f"f{x.dtype.itemsize // 2}"),
+        )
 
 
 def remainder(x1: array, x2: array, /) -> array:
@@ -1090,9 +1088,7 @@ def remainder(x1: array, x2: array, /) -> array:
     https://data-apis.org/array-api/latest/API_specification/generated/array_api.remainder.html
     """
 
-    assert x1, "TODO"
-    assert x2, "TODO"
-    assert False, "TODO 98"
+    return _box(type(x1), np.remainder(*_unbox(x1, x2)))
 
 
 def round(x: array, /) -> array:  # pylint: disable=W0622
@@ -1118,8 +1114,24 @@ def round(x: array, /) -> array:  # pylint: disable=W0622
     https://data-apis.org/array-api/latest/API_specification/generated/array_api.round.html
     """
 
-    assert x, "TODO"
-    assert False, "TODO 99"
+    (a,) = _unbox(x)
+    if x.dtype in (np.complex64, np.complex128):
+        with warnings.catch_warnings():
+            warnings.simplefilter("ignore")
+            a_conj = np.conjugate(a)
+            dt = np.dtype(f"f{x.dtype.itemsize // 2}")
+            re = _box(type(x), (a + a_conj) / 2, dtype=dt)
+            im = _box(type(x), (a - a_conj) / 2j, dtype=dt)
+            return add(round(re), multiply(round(im), array(1j, device=x.device)))
+
+    else:
+        frac, whole = np.modf(a)
+        abs_frac = np.absolute(frac)
+        return _box(
+            type(x),
+            whole
+            + ((abs_frac == 0.5) * (whole % 2 != 0) + (abs_frac > 0.5)) * np.sign(frac),
+        )
 
 
 def sign(x: array, /) -> array:
diff --git a/tests/test_spec_elementwise_functions.py b/tests/test_spec_elementwise_functions.py
index c44cdd1..f803e87 100644
--- a/tests/test_spec_elementwise_functions.py
+++ b/tests/test_spec_elementwise_functions.py
@@ -559,3 +559,84 @@ def test_logical_xor(device, x_bool, y_bool):
     assert result.shape in (x_bool.shape, y_bool.shape)
     assert xp.logical_xor(first(x_bool), first(y_bool)) == first(result)
     assert xp.logical_xor(first(x_bool), first(y_bool)).dtype == result.dtype
+
+
+@pytest.mark.parametrize("device", devices)
+def test_multiply(device, x, y):
+    result = ragged.multiply(x.to_device(device), y.to_device(device))
+    assert type(result) is type(x) is type(y)
+    assert result.shape in (x.shape, y.shape)
+    assert xp.multiply(first(x), first(y)) == first(result)
+    assert xp.multiply(first(x), first(y)).dtype == result.dtype
+
+
+@pytest.mark.parametrize("device", devices)
+def test_negative(device, x):
+    result = ragged.negative(x.to_device(device))
+    assert type(result) is type(x)
+    assert result.shape == x.shape
+    assert xp.negative(first(x)) == pytest.approx(first(result))
+    assert xp.negative(first(x)).dtype == result.dtype
+
+
+@pytest.mark.parametrize("device", devices)
+def test_not_equal(device, x, y):
+    result = ragged.not_equal(x.to_device(device), y.to_device(device))
+    assert type(result) is type(x) is type(y)
+    assert result.shape in (x.shape, y.shape)
+    assert xp.not_equal(first(x), first(y)) == first(result)
+    assert xp.not_equal(first(x), first(y)).dtype == result.dtype
+
+
+@pytest.mark.parametrize("device", devices)
+def test_positive(device, x):
+    result = ragged.positive(x.to_device(device))
+    assert type(result) is type(x)
+    assert result.shape == x.shape
+    assert xp.positive(first(x)) == pytest.approx(first(result))
+    assert xp.positive(first(x)).dtype == result.dtype
+
+
+@pytest.mark.parametrize("device", devices)
+def test_pow(device, x, y):
+    result = ragged.pow(x.to_device(device), y.to_device(device))
+    assert type(result) is type(x) is type(y)
+    assert result.shape in (x.shape, y.shape)
+    assert xp.pow(first(x), first(y)) == first(result)
+    assert xp.pow(first(x), first(y)).dtype == result.dtype
+
+
+@pytest.mark.parametrize("device", devices)
+def test_real(device, x_complex):
+    result = ragged.real(x_complex.to_device(device))
+    assert type(result) is type(x_complex)
+    assert result.shape == x_complex.shape
+    assert xp.real(first(x_complex)) == first(result)
+    assert xp.real(first(x_complex)).dtype == result.dtype
+
+
+@pytest.mark.parametrize("device", devices)
+def test_remainder(device, x, y):
+    result = ragged.remainder(x.to_device(device), y.to_device(device))
+    assert type(result) is type(x) is type(y)
+    assert result.shape in (x.shape, y.shape)
+    assert xp.remainder(first(x), first(y)) == first(result)
+    assert xp.remainder(first(x), first(y)).dtype == result.dtype
+
+
+@pytest.mark.parametrize("device", devices)
+def test_round(device, x):
+    result = ragged.round(x.to_device(device))
+    assert type(result) is type(x)
+    assert result.shape == x.shape
+    assert xp.round(first(x)) == first(result)
+    assert xp.round(first(x)).dtype == result.dtype
+
+
+@pytest.mark.parametrize("device", devices)
+def test_round_complex(device, x_complex):
+    result = ragged.round(x_complex.to_device(device))
+    assert type(result) is type(x_complex)
+    assert result.shape == x_complex.shape
+    assert xp.round(first(x_complex)) == first(result)
+    assert xp.round(first(x_complex)).dtype == result.dtype