[jquery] jQuery .slideRight effect

If you're willing to include the jQuery UI library, in addition to jQuery itself, then you can simply use hide(), with additional arguments, as follows:

$(document).ready(
    function(){
        $('#slider').click(
            function(){
                $(this).hide('slide',{direction:'right'},1000);

            });
    });

JS Fiddle demo.

Without using jQuery UI, you could achieve your aim just using animate():

$(document).ready(
    function(){
        $('#slider').click(
            function(){
                $(this)
                    .animate(
                        {
                            'margin-left':'1000px'
                            // to move it towards the right and, probably, off-screen.
                        },1000,
                        function(){
                            $(this).slideUp('fast');
                            // once it's finished moving to the right, just 
                            // removes the the element from the display, you could use
                            // `remove()` instead, or whatever.
                        }
                        );

            });
    });

JS Fiddle demo

If you do choose to use jQuery UI, then I'd recommend linking to the Google-hosted code, at: https://ajax.googleapis.com/ajax/libs/jqueryui/1.8.6/jquery-ui.min.js