diff --git a/vllm/core/block/block_table.py b/vllm/core/block/block_table.py
index 21f98a63ec52c..06b816eb367f5 100644
--- a/vllm/core/block/block_table.py
+++ b/vllm/core/block/block_table.py
@@ -346,8 +346,8 @@ def get_num_blocks_touched_by_append_slots(
         num_token_ids = len(token_ids) + num_lookahead_slots
         first_chunk_size = self._block_size - (self._num_full_slots %
                                                self._block_size)
-        num_token_blocks = (
-            1 + math.ceil(num_token_ids - first_chunk_size / self._block_size))
+        num_token_blocks = (1 + math.ceil(
+            (num_token_ids - first_chunk_size) / self._block_size))
         return num_token_blocks
 
     def _chunk_token_blocks_for_append(
@@ -359,6 +359,7 @@ def _chunk_token_blocks_for_append(
         """
         first_chunk_size = self._block_size - (self._num_full_slots %
                                                self._block_size)
-        token_blocks = [token_ids[:first_chunk_size]] + list(
+        token_blocks = [token_ids[:first_chunk_size]]
+        token_blocks.extend(
             chunk_list(token_ids[first_chunk_size:], self._block_size))
         return token_blocks