How to round in Javascript/Angular JS -- but remove insignificant digits

You could just multiple by 1 to convert it to true value.

<div ng-repeat="i in myList">{{(i | number:2)*1}}</div>

As noted from the comments above solution will break due to the locale formatting by angular number filter. If you need the locale formatting and rounding you could create an extension filter which underneath uses number filter and $locale service.

.filter('numberEx', ['numberFilter', '$locale',
  function(number, $locale) {

    var formats = $locale.NUMBER_FORMATS;
    return function(input, fractionSize) {
      //Get formatted value
      var formattedValue = number(input, fractionSize);

      //get the decimalSepPosition
      var decimalIdx = formattedValue.indexOf(formats.DECIMAL_SEP);

      //If no decimal just return
      if (decimalIdx == -1) return formattedValue;


      var whole = formattedValue.substring(0, decimalIdx);
      var decimal = (Number(formattedValue.substring(decimalIdx)) || "").toString();

      return whole +  decimal.substring(1);
    };
  }
]);

And use it as:

  <div ng-repeat="i in myList">{{i | numberEx:2}}</div>

Demo

angular.module('app', []).controller('ctrl', function($scope) {

  $scope.myList = [0, 10000.56, 0.5, 0.6666666, -1000.23123, 1, 1002, 2.5, 30.5, 22];

}).filter('numberEx', ['numberFilter', '$locale',
  function(number, $locale) {

    var formats = $locale.NUMBER_FORMATS;
    return function(input, fractionSize) {
      //Get formatted value
      var formattedValue = number(input, fractionSize);

      //get the decimalSepPosition
      var decimalIdx = formattedValue.indexOf(formats.DECIMAL_SEP);
      
      //If no decimal just return
      if (decimalIdx == -1) return formattedValue;

 
      var whole = formattedValue.substring(0, decimalIdx);
      var decimal = (Number(formattedValue.substring(decimalIdx)) || "").toString();
      
      return whole +  decimal.substring(1);
    };
  }
]);

<script src="https://ajax.googleapis.com/ajax/libs/angularjs/1.2.23/angular.min.js"></script>
<div ng-app="app" ng-controller="ctrl">
  <div ng-repeat="i in myList">{{i | numberEx:2}}</div>
</div>

I would do it like this:

<div ng-repeat="i in myList">{{formatNumber(i)}}</div>

and in your controller:

$scope.formatNumber = function(i) {
    return Math.round(i * 100)/100; 
}