Get Order of LI items in a list using JQuery...

I have a list like this:
<ul id="objectListing">
    <li><span class="itemOrder"></span>. Item One</li>
    <li><span class="itemOrder"></span>. Item Two</li>
    <li><span class="itemOrder"></span>. Item Three</li>
    <li><span class="itemOrder"></span>. Item Four</li>

I want to, using JQuery, write a function that grabs all the items, and updates the itemOrder span with the order they appear in. So It would end up giving me this:
    1. Item One
    2. Item Two
    3. Item Three
    4. Item Four
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dirknibleckConnect With a Mentor Commented:
Should have been this:

$("#objectListing li").each(function(id){
     $(this).children("span").html((id+1) + ".");
This might work:

$("#objectListing li").each(function(id){
     this.children("span").html((id+1) + ".");
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