diff --git a/assignments/assignment08.rb b/assignments/assignment08.rb
index 3d46269..7207601 100644
--- a/assignments/assignment08.rb
+++ b/assignments/assignment08.rb
@@ -8,51 +8,50 @@
 # implement conversion between integers and roman numerals
 # validate using MiniTest unit tests
 
+
+require 'minitest/autorun'
+require 'active_support/all'
+
+
 module Assignment08
   class RomanNumeral
+    def i_to_r
+      {
+        1000 => "M",
+        900 => "CM",
+        500 => "D",
+        400 => "CD",
+        100 => "C",
+        90 => "XC",
+        50 => "L",
+        40 => "XL",
+        10 => "X",
+        9 => "IX",
+        5 => "V",
+        4 => "IV",
+        1 => "I"
+      }
+    end
+    
     def initialize(i)
       # your implementation here
+      @number = i
     end
 
     def to_s
       # your implementation here
-    end
-
-    def to_i
-      # your implementation here
-    end
-    
-    # bonus: create from Roman Numeral
-    def self.from_string
-      # your implementation here
-      # returns a new instance
+      s = ""
+      i_to_r.keys.each do |r|
+        times = @number / r
+        remainder = @number % r
+        s << i_to_r[r] * times
+        @number = remainder
+      end 
+      s
     end
   end
 end
 
-# expected results:
-RomanNumeral.new(1).to_s   # => 'I'
-RomanNumeral.new(2).to_s   # => 'II'
-RomanNumeral.new(3).to_s   # => 'III'
-RomanNumeral.new(4).to_s   # => 'IV'
-RomanNumeral.new(5).to_s   # => 'V'
-RomanNumeral.new(6).to_s   # => 'VI'
-RomanNumeral.new(9).to_s   # => 'IX'
-RomanNumeral.new(10).to_s  # => 'X'
-RomanNumeral.new(19).to_s  # => 'XIX'
-RomanNumeral.new(32).to_s  # => 'XXXII'
-RomanNumeral.new(51).to_s  # => 'LI'
-
-# bonus:
-RomanNumeral.from_string('III').to_i  # => 3
-RomanNumeral.from_string('IX').to_i   # => 9
-RomanNumeral.from_string('IX').to_i   # => 9
-
-# given any arbitrary integer n:
-n == RomanNumeral.from_string(RomanNumeral.new(n).to_s).to_i
-
-
-
 # ========================================================================================
 #  Problem 2: Golden Ratio
 
@@ -61,12 +60,42 @@ def self.from_string
 # validate using MiniTest unit tests
 
 module Assignment08
+
   def golden_ratio(precision)
     # your implementation here
+    gr = 12586269025.0/7778742049.0
+    gr.round(precision)
   end
 end
 
-# expected results:
-golden_ratio(2)  # => 1.62
-golden_ratio(5)  # => 1.61803
-golden_ratio(8)  # => 1.61803399
+
+
+class TestMyClass < Minitest::Test
+  include Assignment08
+
+  def test_roman_numeral
+
+   assert_equal 'I', RomanNumeral.new(1).to_s   # => 'I'
+   assert_equal 'II', RomanNumeral.new(2).to_s   # => 'II'
+   assert_equal 'III', RomanNumeral.new(3).to_s   # => 'III'
+   assert_equal 'IV', RomanNumeral.new(4).to_s   # => 'IV'
+   assert_equal 'V', RomanNumeral.new(5).to_s   # => 'V'
+   assert_equal 'VI', RomanNumeral.new(6).to_s   # => 'VI'
+   assert_equal 'IX', RomanNumeral.new(9).to_s   # => 'IX'
+   assert_equal 'X', RomanNumeral.new(10).to_s  # => 'X'
+   assert_equal 'XIX', RomanNumeral.new(19).to_s  # => 'XIX'
+   assert_equal 'XXXII', RomanNumeral.new(32).to_s  # => 'XXXII'
+   assert_equal 'LI', RomanNumeral.new(51).to_s  # => 'LI'
+
+  end
+
+  def test_golden_ratio
+    
+    assert_equal 1.62, golden_ratio(2)  # => 1.62
+    assert_equal 1.61803, golden_ratio(5)  # => 1.61803
+    assert_equal 1.61803399, golden_ratio(8)  # => 1.61803399
+
+  end
+
+end
+