diff --git a/array_api_strict/_elementwise_functions.py b/array_api_strict/_elementwise_functions.py
index 54691d6..c11b17c 100644
--- a/array_api_strict/_elementwise_functions.py
+++ b/array_api_strict/_elementwise_functions.py
@@ -378,8 +378,8 @@ def conj(x: Array, /) -> Array:
 
     See its docstring for more information.
     """
-    if x.dtype not in _complex_floating_dtypes:
-        raise TypeError("Only complex floating-point dtypes are allowed in conj")
+    if x.dtype not in _numeric_dtypes:
+        raise TypeError("Only numeric dtypes are allowed in conj")
     return Array._new(np.conj(x._array), device=x.device)
 
 
@@ -568,8 +568,8 @@ def real(x: Array, /) -> Array:
 
     See its docstring for more information.
     """
-    if x.dtype not in _complex_floating_dtypes:
-        raise TypeError("Only complex floating-point dtypes are allowed in real")
+    if x.dtype not in _numeric_dtypes:
+        raise TypeError("Only numeric dtypes are allowed in real")
     return Array._new(np.real(x._array), device=x.device)
 
 
diff --git a/array_api_strict/tests/test_elementwise_functions.py b/array_api_strict/tests/test_elementwise_functions.py
index 0b90f0b..f38cdb9 100644
--- a/array_api_strict/tests/test_elementwise_functions.py
+++ b/array_api_strict/tests/test_elementwise_functions.py
@@ -52,7 +52,7 @@ def nargs(func):
     "bitwise_xor": "integer or boolean",
     "ceil": "real numeric",
     "clip": "real numeric",
-    "conj": "complex floating-point",
+    "conj": "numeric",
     "copysign": "real floating-point",
     "cos": "floating-point",
     "cosh": "floating-point",
@@ -88,7 +88,7 @@ def nargs(func):
     "not_equal": "all",
     "positive": "numeric",
     "pow": "numeric",
-    "real": "complex floating-point",
+    "real": "numeric",
     "reciprocal": "floating-point",
     "remainder": "real numeric",
     "round": "numeric",