diff --git a/doc/manual/expressions/builtins.xml b/doc/manual/expressions/builtins.xml
index 3b664479d..13cc2221e 100644
--- a/doc/manual/expressions/builtins.xml
+++ b/doc/manual/expressions/builtins.xml
@@ -32,7 +32,7 @@ available as <function>builtins.derivation</function>.</para>
   <varlistentry><term><function>builtins.add</function>
   <replaceable>e1</replaceable> <replaceable>e2</replaceable></term>
 
-    <listitem><para>Return the sum of the integers
+    <listitem><para>Return the sum of the numbers
     <replaceable>e1</replaceable> and
     <replaceable>e2</replaceable>.</para></listitem>
 
@@ -204,7 +204,7 @@ if builtins ? getEnv then builtins.getEnv "PATH" else ""</programlisting>
   <varlistentry><term><function>builtins.div</function>
   <replaceable>e1</replaceable> <replaceable>e2</replaceable></term>
 
-    <listitem><para>Return the quotient of the integers
+    <listitem><para>Return the quotient of the numbers
     <replaceable>e1</replaceable> and
     <replaceable>e2</replaceable>.</para></listitem>
 
@@ -335,7 +335,7 @@ stdenv.mkDerivation {
   </varlistentry>
 
 
-  <varlistentry><term><function>builtins.foldl’</function> 
+  <varlistentry><term><function>builtins.foldl’</function>
     <replaceable>op</replaceable> <replaceable>nul</replaceable> <replaceable>list</replaceable></term>
 
     <listitem><para>Reduce a list by applying a binary operator, from
@@ -602,12 +602,12 @@ x: x + 456</programlisting>
   <varlistentry><term><function>builtins.lessThan</function>
   <replaceable>e1</replaceable> <replaceable>e2</replaceable></term>
 
-    <listitem><para>Return <literal>true</literal> if the integer
-    <replaceable>e1</replaceable> is less than the integer
+    <listitem><para>Return <literal>true</literal> if the number
+    <replaceable>e1</replaceable> is less than the number
     <replaceable>e2</replaceable>, and <literal>false</literal>
     otherwise.  Evaluation aborts if either
     <replaceable>e1</replaceable> or <replaceable>e2</replaceable>
-    does not evaluate to an integer.</para></listitem>
+    does not evaluate to a number.</para></listitem>
 
   </varlistentry>
 
@@ -658,7 +658,7 @@ map (x: "foo" + x) [ "bar" "bla" "abc" ]</programlisting>
   <varlistentry><term><function>builtins.mul</function>
   <replaceable>e1</replaceable> <replaceable>e2</replaceable></term>
 
-    <listitem><para>Return the product of the integers
+    <listitem><para>Return the product of the numbers
     <replaceable>e1</replaceable> and
     <replaceable>e2</replaceable>.</para></listitem>
 
@@ -815,7 +815,7 @@ builtins.sort builtins.lessThan [ 483 249 526 147 42 77 ]
   <varlistentry><term><function>builtins.sub</function>
   <replaceable>e1</replaceable> <replaceable>e2</replaceable></term>
 
-    <listitem><para>Return the difference between the integers
+    <listitem><para>Return the difference between the numbers
     <replaceable>e1</replaceable> and
     <replaceable>e2</replaceable>.</para></listitem>
 
@@ -942,7 +942,7 @@ in foo</programlisting>
   <varlistentry><term><function>builtins.toJSON</function> <replaceable>e</replaceable></term>
 
     <listitem><para>Return a string containing a JSON representation
-    of <replaceable>e</replaceable>.  Strings, integers, booleans,
+    of <replaceable>e</replaceable>.  Strings, integers, floats, booleans,
     nulls and lists are mapped to their JSON equivalents.  Sets
     (except derivations) are represented as objects.  Derivations are
     translated to a JSON string containing the derivation’s output
diff --git a/doc/manual/expressions/derivations.xml b/doc/manual/expressions/derivations.xml
index 90e2786fa..f2a73dccf 100644
--- a/doc/manual/expressions/derivations.xml
+++ b/doc/manual/expressions/derivations.xml
@@ -43,7 +43,7 @@ of which specify the inputs of the build.</para>
 
     <itemizedlist>
 
-      <listitem><para>Strings and integers are just passed
+      <listitem><para>Strings and numbers are just passed
       verbatim.</para></listitem>
 
       <listitem><para>A <emphasis>path</emphasis> (e.g.,
diff --git a/doc/manual/expressions/language-values.xml b/doc/manual/expressions/language-values.xml
index 0bf6632d6..f1174ecb5 100644
--- a/doc/manual/expressions/language-values.xml
+++ b/doc/manual/expressions/language-values.xml
@@ -140,8 +140,13 @@ stdenv.mkDerivation {
 
   </listitem>
 
-  <listitem><para><emphasis>Integers</emphasis>, e.g.,
-  <literal>123</literal>.</para></listitem>
+  <listitem><para>Numbers, which can be <emphasis>integers</emphasis> (like
+  <literal>123</literal>) or <emphasis>floating point</emphasis> (like
+  <literal>123.43</literal> or <literal>.27e13</literal>).</para>
+
+  <para>Numbers are type-compatible: pure integer operations will always
+  return integers, whereas any operation involving at least one floating point
+  number will have a floating point number as a result.</para></listitem>
 
   <listitem><para><emphasis>Paths</emphasis>, e.g.,
   <filename>/bin/sh</filename> or <filename>./builder.sh</filename>.
diff --git a/doc/manual/release-notes/rl-1.11.xml b/doc/manual/release-notes/rl-1.11.xml
index aa9a3e101..fb6e4abfe 100644
--- a/doc/manual/release-notes/rl-1.11.xml
+++ b/doc/manual/release-notes/rl-1.11.xml
@@ -10,6 +10,13 @@
 features:</para>
 
 <itemizedlist>
+  <listitem>
+    <para>The Nix language now supports floating point numbers. They are
+    based on regular C++ <literal>float</literal> and compatible with
+    existing integers and number-related operations. Export and import to and
+    from JSON and XML works, too.
+  </para>
+  </listitem>
   <listitem>
     <para>All "chroot"-containing strings got renamed to "sandbox".
       In particular, some nix options got renamed, but the old names