Using Views would be the most common way to do this. I will show you a Display Suite method though.
Install these modules:
Display Suite (or any model that can give you extra view modes such as Entity view modes
Display Suite allows you to take full control over how your content is
displayed using a drag and drop interface. Arrange your nodes, views,
comments, user data etc. the way you want without having to work your
way through dozens of template files. A predefined list of layouts (D7
only) is available for even more drag and drop fun!
View Mode Page
Create separate pages for different view modes for a given content
On the manage display page for a given content type, you can assign
patterns for view modes so that they will become a page at the given
path. For instance, if you want to show the teaser at a specific URL,
you could do node/%/teaser. If you also use Display Suite or other
modules that allow you to create new view modes, you can use these
modes to display one or more fields from a node at a separate URL.
Field multiple limit
This is a simple module that provides settings to limit the number of
values to display on fields with multiple values.
Provides additional tokens not supported by core (most notably
fields), as well as a UI for browsing tokens.
Default View Mode:
On your content type's default view mode activate One Column Display Suite layout and click on the gear next to your multi value field and set it to show the first 5 of the multi value field. Use Display Suite to create a
Code Field on entities node, with Field code:
<a href="[current-page:url]/more">Show all</a>.
Tick Token. Back on the manage display for the default view mode you will now see that field: Show all. Drag it to where you want it displayed
Show all View Mode:
Use Display Suite to create an additional View mode. Go to Manage display for the new View mode and set the 'View mode pages' URL pattern to
node/%/all. Make sure you set the multi value field to show all values.