diff --git a/PreciseNumber.Test/PreciseNumberTests.cs b/PreciseNumber.Test/PreciseNumberTests.cs
index 70afcac..2d431ba 100644
--- a/PreciseNumber.Test/PreciseNumberTests.cs
+++ b/PreciseNumber.Test/PreciseNumberTests.cs
@@ -2674,6 +2674,26 @@ public void TestMultiplyThrowsOverflowWhenTheExponentLeavesTheIntRange()
 		Assert.AreEqual(PreciseNumber.One, big * small);
 	}
 
+	[TestMethod]
+	public void TestAddSubtractModThrowOverflowWhenTheExponentsAreTooFarApartToAlign()
+	{
+		PreciseNumber big = PreciseNumber.Parse("1e2000000000", NumberStyles.Float, CultureInfo.InvariantCulture);
+		PreciseNumber small = PreciseNumber.Parse("1e-2000000000", NumberStyles.Float, CultureInfo.InvariantCulture);
+
+		// The exponents are 4e9 apart; the difference wrapped to -294967296 and reached Pow10 as an
+		// ArgumentOutOfRangeException, unlike the OverflowException Multiply and Divide throw.
+		Assert.ThrowsExactly<OverflowException>(() => big + small);
+		Assert.ThrowsExactly<OverflowException>(() => small + big);
+		Assert.ThrowsExactly<OverflowException>(() => big - small);
+		Assert.ThrowsExactly<OverflowException>(() => small - big);
+		Assert.ThrowsExactly<OverflowException>(() => big % small);
+		Assert.ThrowsExactly<OverflowException>(() => small % big);
+
+		// Exponents that are close enough to align are unaffected.
+		Assert.AreEqual(PreciseNumber.Parse("2e2000000000", NumberStyles.Float, CultureInfo.InvariantCulture), big + big);
+		Assert.AreEqual(PreciseNumber.Zero, small - small);
+	}
+
 	[TestMethod]
 	public void TestDivideThrowsOverflowWhenTheExponentLeavesTheIntRange()
 	{
diff --git a/PreciseNumber/PreciseNumber.cs b/PreciseNumber/PreciseNumber.cs
index 066ea33..41fabc5 100644
--- a/PreciseNumber/PreciseNumber.cs
+++ b/PreciseNumber/PreciseNumber.cs
@@ -943,6 +943,7 @@ internal static (PreciseNumber, PreciseNumber, int) MakeCommonizedWithExponent(P
 	/// <param name="left">The left number.</param>
 	/// <param name="right">The right number.</param>
 	/// <returns>The scaled significands and the exponent they share.</returns>
+	/// <exception cref="OverflowException">Thrown when the exponents are further apart than the range of an <see cref="int"/>.</exception>
 	private static (BigInteger Left, BigInteger Right, int Exponent) CommonizeSignificands(PreciseNumber left, PreciseNumber right)
 	{
 		int leftExponent = left.Exponent;
@@ -953,9 +954,11 @@ private static (BigInteger Left, BigInteger Right, int Exponent) CommonizeSignif
 			return (left.Significand, right.Significand, leftExponent);
 		}
 
+		// Exponents at opposite extremes are more than int.MaxValue apart, and an unchecked difference
+		// would wrap negative and reach Pow10 as an unrelated ArgumentOutOfRangeException.
 		return leftExponent > rightExponent
-			? (left.Significand * Pow10(leftExponent - rightExponent), right.Significand, rightExponent)
-			: (left.Significand, right.Significand * Pow10(rightExponent - leftExponent), leftExponent);
+			? (left.Significand * Pow10(checked(leftExponent - rightExponent)), right.Significand, rightExponent)
+			: (left.Significand, right.Significand * Pow10(checked(rightExponent - leftExponent)), leftExponent);
 	}
 
 	/// <summary>
@@ -1536,6 +1539,7 @@ public static PreciseNumber Negate(PreciseNumber value)
 	/// <param name="left">The number to subtract from.</param>
 	/// <param name="right">The number to subtract.</param>
 	/// <returns>The result of the subtraction.</returns>
+	/// <exception cref="OverflowException">Thrown when the exponents of the operands are further apart than the range of an <see cref="int"/>.</exception>
 	public static PreciseNumber Subtract(PreciseNumber left, PreciseNumber right)
 	{
 		(BigInteger commonLeft, BigInteger commonRight, int commonExponent) = CommonizeSignificands(left, right);
@@ -1548,6 +1552,7 @@ public static PreciseNumber Subtract(PreciseNumber left, PreciseNumber right)
 	/// <param name="left">The first number to add.</param>
 	/// <param name="right">The second number to add.</param>
 	/// <returns>The result of the addition.</returns>
+	/// <exception cref="OverflowException">Thrown when the exponents of the operands are further apart than the range of an <see cref="int"/>.</exception>
 	public static PreciseNumber Add(PreciseNumber left, PreciseNumber right)
 	{
 		(BigInteger commonLeft, BigInteger commonRight, int commonExponent) = CommonizeSignificands(left, right);
@@ -1809,6 +1814,7 @@ private static PreciseNumber DivideToPrecision(BigInteger numerator, BigInteger
 	/// <param name="left">The number to divide.</param>
 	/// <param name="right">The number to divide by.</param>
 	/// <returns>The modulus of the two numbers.</returns>
+	/// <exception cref="OverflowException">Thrown when the exponents of the operands are further apart than the range of an <see cref="int"/>.</exception>
 	public static PreciseNumber Mod(PreciseNumber left, PreciseNumber right)
 	{
 		if (right.Significand.IsZero)