diff --git a/examples/complex_numbers.js b/examples/complex_numbers.js
index 20d898183..3a31d3acc 100644
--- a/examples/complex_numbers.js
+++ b/examples/complex_numbers.js
@@ -44,36 +44,11 @@ print(c);                      // 1 + i
 var d = math.complex(3, 4);
 console.log(d.abs(), d.arg());      // radius = 5, phi = 0.9272952180016122
 
-// comparisions between two complex numbers (only considers real components)
-console.log('\ncomparisions between two complex numbers (only considers real components)');
-var e = math.complex(3, 4);
-var f = math.complex(5, 6);
-console.log('compare - ', math.compare(e, f));
-console.log('larger - ', math.larger(e, f));
-console.log('largerEq - ', math.largerEq(e, f));
-console.log('smaller - ', math.smaller(e, f));
-console.log('smallerEq - ', math.smallerEq(e, f));
-
-// comparisions between a complex number and a number
-console.log('\ncomparisions between a complex number and a number');
-var g = math.complex(6, 2);
-var h = 5;
-console.log('compare - ', math.compare(g, h));
-console.log('larger - ', math.larger(g, h));
-console.log('largerEq - ', math.largerEq(g, h));
-console.log('smaller - ', math.smaller(g, h));
-console.log('smallerEq - ', math.smallerEq(g, h));
-
-// comparisions between a complex number and a number
-console.log('\ncomparisions between a complex number and a bignumber');
-var i = math.complex(6, 2);
-var j = math.bignumber(6);
-console.log('compare - ', math.compare(i, j));
-console.log('larger - ', math.larger(g, h));
-console.log('largerEq - ', math.largerEq(g, h));
-console.log('smaller - ', math.smaller(g, h));
-console.log('smallerEq - ', math.smallerEq(g, h));
-
+// comparision operations
+// the values are evaluated using the 'real' parts of the complex numbers
+console.log('\ncomparision operations');
+console.log('compare - ', math.compare(a, b)); // returns 1 as 5 > 3
+console.log('larger - ', math.larger(a, b)); // returns true as 5 > 3
 
 /**
  * Helper function to output a value in the console. Value will be formatted.