diff --git a/src/ifctester/ifctester/facet.py b/src/ifctester/ifctester/facet.py
index b4df337dcd..fa2e5349a7 100644
--- a/src/ifctester/ifctester/facet.py
+++ b/src/ifctester/ifctester/facet.py
@@ -231,7 +231,12 @@ class Attribute(Facet):
                         break
                 elif isinstance(self.value, str):
                     cast_value = cast_to_value(self.value, value)
-                    if value != cast_value:
+                    if isinstance(value, float) and isinstance(cast_value, float):
+                        if value < cast_value * (1. - 1e-6) or value > cast_value * (1. + 1e-6):
+                            is_pass = False
+                            reason = {"type": "VALUE", "actual": value}
+                            break
+                    elif value != cast_value:
                         is_pass = False
                         reason = {"type": "VALUE", "actual": value}
                         break
@@ -420,7 +425,12 @@ class Property(Facet):
                                 break
                         elif isinstance(self.value, str):
                             cast_value = cast_to_value(self.value, value)
-                            if value != cast_value:
+                            if isinstance(value, float) and isinstance(cast_value, float):
+                                if value < cast_value * (1. - 1e-6) or value > cast_value * (1. + 1e-6):
+                                    is_pass = False
+                                    reason = {"type": "VALUE", "actual": value}
+                                    break
+                            elif value != cast_value:
                                 is_pass = False
                                 reason = {"type": "VALUE", "actual": value}
                                 break
diff --git a/src/ifctester/test/test_facet.py b/src/ifctester/test/test_facet.py
index dee1a98986..3b7f5e67d7 100644
--- a/src/ifctester/test/test_facet.py
+++ b/src/ifctester/test/test_facet.py
@@ -487,6 +487,33 @@ class TestAttribute:
             expected=True,
         )
 
+        facet = Attribute(name="RefractionIndex", value="42.")
+        ifc = ifcopenshell.file()
+        run(
+            "Floating point numbers are compared with a 1e-6 tolerance 1/4",
+            facet=facet,
+            inst=ifc.createIfcSurfaceStyleRefraction(RefractionIndex=42. * (1. + 1e-6)),
+            expected=True,
+        )
+        run(
+            "Floating point numbers are compared with a 1e-6 tolerance 2/4",
+            facet=facet,
+            inst=ifc.createIfcSurfaceStyleRefraction(RefractionIndex=42. * (1. - 1e-6)),
+            expected=True,
+        )
+        run(
+            "Floating point numbers are compared with a 1e-6 tolerance 3/4",
+            facet=facet,
+            inst=ifc.createIfcSurfaceStyleRefraction(RefractionIndex=42. * (1. + 2e-6)),
+            expected=False,
+        )
+        run(
+            "Floating point numbers are compared with a 1e-6 tolerance 4/4",
+            facet=facet,
+            inst=ifc.createIfcSurfaceStyleRefraction(RefractionIndex=42. * (1. - 2e-6)),
+            expected=False,
+        )
+
         facet = Attribute(name="NumberOfRisers", value="42")
         ifc = ifcopenshell.file()
         run(
@@ -903,6 +930,16 @@ class TestProperty:
         facet = Property(propertySet="Foo_Bar", name="Foo", value="1.2345E3")
         run("Only specifically formatted numbers are allowed 4/4", facet=facet, inst=element, expected=True)
 
+        facet = Property(propertySet="Foo_Bar", name="Foo", value="42.")
+        ifcopenshell.api.run("pset.edit_pset", ifc, pset=pset, properties={"Foo": ifc.createIfcReal(42. * (1. + 1e-6))})
+        run("Floating point numbers are compared with a 1e-6 tolerance 1/4", facet=facet, inst=element, expected=True)
+        ifcopenshell.api.run("pset.edit_pset", ifc, pset=pset, properties={"Foo": ifc.createIfcReal(42. * (1. - 1e-6))})
+        run("Floating point numbers are compared with a 1e-6 tolerance 2/4", facet=facet, inst=element, expected=True)
+        ifcopenshell.api.run("pset.edit_pset", ifc, pset=pset, properties={"Foo": ifc.createIfcReal(42. * (1. + 2e-6))})
+        run("Floating point numbers are compared with a 1e-6 tolerance 3/4", facet=facet, inst=element, expected=False)
+        ifcopenshell.api.run("pset.edit_pset", ifc, pset=pset, properties={"Foo": ifc.createIfcReal(42. * (1. - 2e-6))})
+        run("Floating point numbers are compared with a 1e-6 tolerance 4/4", facet=facet, inst=element, expected=False)
+
         facet = Property(propertySet="Foo_Bar", name="Foo", value="TRUE")
         ifcopenshell.api.run("pset.edit_pset", ifc, pset=pset, properties={"Foo": ifc.createIfcBoolean(False)})
         run("Booleans must be specified as uppercase strings 1/3", facet=facet, inst=element, expected=False)