diff --git a/reasoning_gym/arithmetic/products.py b/reasoning_gym/arithmetic/products.py
index 3a25077f..fe777e2b 100644
--- a/reasoning_gym/arithmetic/products.py
+++ b/reasoning_gym/arithmetic/products.py
@@ -14,6 +14,7 @@ class ProductsConfig:
     max_terms: int = 2
     min_digits: int = 1
     max_digits: int = 5
+    allow_negation: bool = False
     seed: Optional[int] = None
     size: int = 500
 
@@ -51,7 +52,10 @@ class ProductsDataset(ProceduralDataset):
         num_digits = rng.randint(self.config.min_digits, self.config.max_digits)
 
         # Calculate value ranges based on number of digits
-        min_value = 0 if num_digits == 1 else 10 ** (num_digits - 1)  # Special case for 1 digit
+        if self.config.allow_negation:
+            min_value = -1 * 10 ** (num_digits) + 1
+        else:
+            min_value = 0 if num_digits == 1 else 10 ** (num_digits - 1)  # Special case for 1 digit
         max_value = (10**num_digits) - 1  # e.g., 999 for 3 digits
 
         expression, result = self._generate_task(rng, num_terms, min_value, max_value)
diff --git a/tests/test_products.py b/tests/test_products.py
index d794e28a..469ae5fd 100644
--- a/tests/test_products.py
+++ b/tests/test_products.py
@@ -77,6 +77,37 @@ def test_products_number_ranges():
             assert 0 <= num <= 9, f"Number {num} outside valid range for 1 digit"
 
 
+def test_products_number_ranges_with_negation():
+    """Test that generated numbers respect digit constraints"""
+    # Test 3-digit numbers with negation
+    config = ProductsConfig(
+        min_terms=2,
+        max_terms=2,  # Fix to 2 terms for easier testing
+        min_digits=3,  # Should generate numbers >= -999
+        max_digits=3,  # Should generate numbers <= 999
+        allow_negation=True,
+        size=50,
+        seed=42,
+    )
+    dataset = ProductsDataset(config)
+    for i in range(len(dataset)):
+        item = dataset[i]
+        expression = item["metadata"]["expression"]
+        numbers = [int(n) for n in expression.split() if n.isdigit()]
+        for num in numbers:
+            assert -999 <= num <= 999, f"Number {num} outside valid range for 3 digits"
+
+    # Test 1-digit numbers with negation
+    config = ProductsConfig(min_terms=2, max_terms=2, min_digits=1, max_digits=1, size=50, seed=42)
+    dataset = ProductsDataset(config)
+    for i in range(len(dataset)):
+        item = dataset[i]
+        expression = item["metadata"]["expression"]
+        numbers = [int(n) for n in expression.split() if n.isdigit()]
+        for num in numbers:
+            assert -9 <= num <= 9, f"Number {num} outside valid range for 1 digit"
+
+
 def test_products_iteration():
     """Test that iteration respects dataset size"""
     config = ProductsConfig(min_terms=2, max_terms=2, size=5, seed=42)  # Small size for testing