From 9cab5912b5d82143679a32f81488146e932e57d0 Mon Sep 17 00:00:00 2001
From: Mark <mark@betalupi.com>
Date: Tue, 11 Feb 2025 16:09:05 -0800
Subject: [PATCH] TMP bonus

---
 src/Advanced/Fast Inverse Root/main.typ       |  3 +++
 .../Fast Inverse Root/parts/04 bonus.typ      | 20 +++++++++++++++++++
 2 files changed, 23 insertions(+)
 create mode 100644 src/Advanced/Fast Inverse Root/parts/04 bonus.typ

diff --git a/src/Advanced/Fast Inverse Root/main.typ b/src/Advanced/Fast Inverse Root/main.typ
index 361ef89..71043b5 100644
--- a/src/Advanced/Fast Inverse Root/main.typ	
+++ b/src/Advanced/Fast Inverse Root/main.typ	
@@ -23,3 +23,6 @@
 #pagebreak()
 
 #include "parts/03 quake.typ"
+#pagebreak()
+
+#include "parts/04 bonus.typ"
diff --git a/src/Advanced/Fast Inverse Root/parts/04 bonus.typ b/src/Advanced/Fast Inverse Root/parts/04 bonus.typ
new file mode 100644
index 0000000..39ed708
--- /dev/null
+++ b/src/Advanced/Fast Inverse Root/parts/04 bonus.typ	
@@ -0,0 +1,20 @@
+#import "@local/handout:0.1.0": *
+
+= Bonus: More about Floats
+
+#problem()
+Convince yourself that all numbers that can be represented as a float are rational.
+
+#problem()
+Find a rational number that cannot be represented as a float.
+
+#problem()
+How many floats are between $0$ and $1$?
+
+
+#problem()
+How many floats are between $1$ and $2$?
+
+
+#problem()
+How many floats are between $1$ and $128$?