diff --git a/README.md b/README.md
index 3f2a4dd..d1837f7 100644
--- a/README.md
+++ b/README.md
@@ -490,6 +490,7 @@ There are a number of different expectations you can use.
 | Expectation          | Description                                               | Example                                                         |
 |----------------------|-----------------------------------------------------------|-----------------------------------------------------------------|
 | **`equal`**/**`eq`**     | Basic `==` equality check                                     | `expect( a ).to.equal( b )`                                     |
+| **`aboutEqual`**     | Basic `==` equality check, with a tolerance                   | `expect( 0.999 ).to.aboutEqual( 1 )`                            |
 | **`beLessThan`**     | Basic `<` comparison                                          | `expect( 5 ).to.beLessThan( 6 )`                                |
 | **`beGreaterThan`**  | Basic `>` comparison                                          | `expect( 10 ).to.beGreaterThan( 1 )`                            |
 | **`beBetween`**      | Expects the subject to be less than min, and greater than max | `expect( 5 ).to.beBetween( 3, 7 )`                              |
diff --git a/lua/gluatest/expectations/negative.lua b/lua/gluatest/expectations/negative.lua
index 681f316..48cf452 100644
--- a/lua/gluatest/expectations/negative.lua
+++ b/lua/gluatest/expectations/negative.lua
@@ -17,12 +17,25 @@ return function( subject, ... )
 
     local i = expectations
 
-    function expectations.eq( comparison )
+    function expectations.equal( comparison )
         if subject == comparison then
             i.expected( "to not equal '%s'", comparison )
         end
     end
-    expectations.equal = expectations.eq
+
+    function expectations.eq( comparison )
+        GLuaTest.DeprecatedNotice( "toNot.eq( value )", "toNot.equal( value )" )
+        return expectations.equal( comparison )
+    end
+
+    function expectations.aboutEqual( comparison )
+        local tolerance = args[1] or 0.00001
+        local difference = math.abs( subject - comparison )
+
+        if difference <= tolerance then
+            i.expected( "to not be within '%s' of '%s' - found a difference of '%s'", tolerance, comparison, difference )
+        end
+    end
 
     function expectations.beLessThan( comparison )
         if subject < comparison then
diff --git a/lua/gluatest/expectations/positive.lua b/lua/gluatest/expectations/positive.lua
index f9b1c21..b78b78e 100644
--- a/lua/gluatest/expectations/positive.lua
+++ b/lua/gluatest/expectations/positive.lua
@@ -17,12 +17,25 @@ return function( subject, ... )
 
     local i = expectations
 
-    function expectations.eq( comparison )
+    function expectations.equal( comparison )
         if subject ~= comparison then
             i.expected( "to equal '%s'", comparison )
         end
     end
-    expectations.equal = expectations.eq
+
+    function expectations.eq( comparison )
+        GLuaTest.DeprecatedNotice( "to.eq( value )", "to.equal( value )" )
+        return expectations.equal( comparison )
+    end
+
+    function expectations.aboutEqual( comparison )
+        local tolerance = args[1] or 0.00001
+        local difference = math.abs( subject - comparison )
+
+        if difference > tolerance then
+            i.expected( "to be within '%s' of '%s' - found a difference of '%s'", tolerance, comparison, difference )
+        end
+    end
 
     function expectations.beLessThan( comparison )