function createElementAndAppend(){
    element = angular.element("<"+element+" id='inputTag' ng-click='selectClickedElm($event.currentTarget)' ng-style='{width: w + 'px'} placeholder='input'>");
    angular.element(document.getElementById('board')).append($compile(element)($scope));
}

<input type="number" ng-model="w" placeholder="change width">

Error: [$parse:ueoe] Unexpected end of expression: {width: w