Final answer:
To handle 1,000 more subnets in an IPv6 addressing scheme, you would need to use a network mask of /64.
Step-by-step explanation:
To set up a network that can handle 1,000 subnets and using an IPv6 addressing scheme, you would need to use a network mask of /64. Each subnet in an IPv6 network has a prefix length of 64 bits, which allows for a maximum of 2^64 subnets. By using this network mask, you can allocate unique network addresses to each subnet and have sufficient address space to handle the required number of subnets.