diff --git a/PreciseNumber.Test/PreciseNumberParseCultureTests.cs b/PreciseNumber.Test/PreciseNumberParseCultureTests.cs
index 6cdf76a..59108e9 100644
--- a/PreciseNumber.Test/PreciseNumberParseCultureTests.cs
+++ b/PreciseNumber.Test/PreciseNumberParseCultureTests.cs
@@ -100,4 +100,54 @@ public void Parse_ReadsTheExponentSignWithTheProvider()
 	{
 		Assert.AreEqual(P("0.015"), PreciseNumber.Parse("1,5e−2", CommaDecimal));
 	}
+
+	[TestMethod]
+	[DataRow("1.5", NumberStyles.Integer)]
+	[DataRow("1e5", NumberStyles.Integer)]
+	[DataRow("-5", NumberStyles.None)]
+	[DataRow("1e 5", NumberStyles.Float)]
+	[DataRow("1e5", NumberStyles.Number)]
+	[DataRow("1.5", NumberStyles.None)]
+	[DataRow("1.5", NumberStyles.Float)]
+	[DataRow("-1.5e-3", NumberStyles.Float)]
+	[DataRow("-1.5e-3", NumberStyles.Any)]
+	[DataRow("1,234.5", NumberStyles.Any)]
+	[DataRow("-5", NumberStyles.Integer)]
+	[DataRow("1e+5", NumberStyles.Float)]
+	public void TryParse_AcceptsWhatDecimalAccepts(string text, NumberStyles style)
+	{
+		bool decimalParsed = decimal.TryParse(text, style, CultureInfo.InvariantCulture, out decimal expected);
+		bool parsed = PreciseNumber.TryParse(text, style, CultureInfo.InvariantCulture, out PreciseNumber actual);
+
+		Assert.AreEqual(decimalParsed, parsed, $"PreciseNumber and decimal disagree on whether \"{text}\" parses under {style}.");
+		if (parsed)
+		{
+			Assert.AreEqual(P(expected.ToString(CultureInfo.InvariantCulture)), actual);
+		}
+	}
+
+	[TestMethod]
+	public void Parse_ThrowsForWhatTheStyleDoesNotAllow()
+	{
+		Assert.ThrowsExactly<FormatException>(() => PreciseNumber.Parse("1.5", NumberStyles.Integer, CultureInfo.InvariantCulture));
+		Assert.ThrowsExactly<FormatException>(() => PreciseNumber.Parse("1e5", NumberStyles.Integer, CultureInfo.InvariantCulture));
+		Assert.ThrowsExactly<FormatException>(() => PreciseNumber.Parse("-5", NumberStyles.None, CultureInfo.InvariantCulture));
+		Assert.ThrowsExactly<FormatException>(() => PreciseNumber.Parse("1e 5", NumberStyles.Float, CultureInfo.InvariantCulture));
+	}
+
+	[TestMethod]
+	public void Parse_WithoutAStyleStillReadsFractionsExponentsAndSigns()
+	{
+		Assert.AreEqual(P("1.5"), PreciseNumber.Parse("1.5", CultureInfo.InvariantCulture));
+		Assert.AreEqual(P("-0.0015"), PreciseNumber.Parse("-1.5e-3", CultureInfo.InvariantCulture));
+		Assert.AreEqual(P("1234.5"), PreciseNumber.Parse("1,234.5", CultureInfo.InvariantCulture));
+	}
+
+	[TestMethod]
+	public void Parse_ReadsACulturesNegativeSignOnlyWhenTheStyleAllowsIt()
+	{
+		Assert.AreEqual(P("-2.5"), PreciseNumber.Parse("−2,5", NumberStyles.Float, CommaDecimal));
+		Assert.IsFalse(PreciseNumber.TryParse("−2", NumberStyles.None, CommaDecimal, out _));
+		Assert.IsFalse(PreciseNumber.TryParse("-2", NumberStyles.None, CommaDecimal, out _));
+	}
 }
diff --git a/PreciseNumber/PreciseNumber.cs b/PreciseNumber/PreciseNumber.cs
index a3da4fd..621bd81 100644
--- a/PreciseNumber/PreciseNumber.cs
+++ b/PreciseNumber/PreciseNumber.cs
@@ -1210,6 +1210,8 @@ public static PreciseNumber Parse(ReadOnlySpan<char> s, NumberStyles style, IFor
 		ReadOnlySpan<char> decimalSeparator = numberFormat.NumberDecimalSeparator;
 		ReadOnlySpan<char> groupSeparator = numberFormat.NumberGroupSeparator;
 		bool allowThousands = style.HasFlag(NumberStyles.AllowThousands) && !groupSeparator.IsEmpty;
+		bool allowDecimalPoint = style.HasFlag(NumberStyles.AllowDecimalPoint);
+		bool allowExponent = style.HasFlag(NumberStyles.AllowExponent);
 
 		int startIndex = ReadLeadingSign(s, style, numberFormat, out bool isNegative);
 
@@ -1229,7 +1231,7 @@ public static PreciseNumber Parse(ReadOnlySpan<char> s, NumberStyles style, IFor
 			for (int i = startIndex; i < s.Length; i++)
 			{
 				char c = s[i];
-				if (s[i..].StartsWith(decimalSeparator, StringComparison.Ordinal))
+				if (allowDecimalPoint && s[i..].StartsWith(decimalSeparator, StringComparison.Ordinal))
 				{
 					if (hasDecimal)
 					{
@@ -1248,10 +1250,12 @@ public static PreciseNumber Parse(ReadOnlySpan<char> s, NumberStyles style, IFor
 					continue;
 				}
 
-				if (c is 'e' or 'E')
+				if (allowExponent && c is 'e' or 'E')
 				{
 					// An exponent outside the range of int throws OverflowException, which TryParse reports as failure.
-					exponent = int.Parse(s[(i + 1)..], NumberStyles.Integer, numberFormat);
+					// Only a sign may precede its digits: NumberStyles.Integer would also let white space through,
+					// accepting "1e 5" where every BCL numeric type rejects it.
+					exponent = int.Parse(s[(i + 1)..], NumberStyles.AllowLeadingSign, numberFormat);
 					break;
 				}
 
@@ -1313,10 +1317,17 @@ private static ReadOnlySpan<char> TrimAllowedWhite(ReadOnlySpan<char> s, NumberS
 	/// Reads a leading sign spelled as <paramref name="numberFormat"/> spells it, returning the index
 	/// of the first character after it. The ASCII hyphen stays accepted whatever the culture spells
 	/// its negative sign with, as it always has been here and as the BCL does for cultures that use
-	/// U+2212. A positive sign is only read when <paramref name="style"/> allows a leading sign.
+	/// U+2212. Neither sign is read unless <paramref name="style"/> allows a leading sign, so under
+	/// <see cref="NumberStyles.None"/> a sign is left in place and rejected as a non-digit.
 	/// </summary>
 	private static int ReadLeadingSign(ReadOnlySpan<char> s, NumberStyles style, NumberFormatInfo numberFormat, out bool isNegative)
 	{
+		isNegative = false;
+		if (!style.HasFlag(NumberStyles.AllowLeadingSign))
+		{
+			return 0;
+		}
+
 		isNegative = true;
 		if (s.StartsWith(numberFormat.NegativeSign, StringComparison.Ordinal))
 		{
@@ -1329,7 +1340,7 @@ private static int ReadLeadingSign(ReadOnlySpan<char> s, NumberStyles style, Num
 		}
 
 		isNegative = false;
-		return style.HasFlag(NumberStyles.AllowLeadingSign) && s.StartsWith(numberFormat.PositiveSign, StringComparison.Ordinal)
+		return s.StartsWith(numberFormat.PositiveSign, StringComparison.Ordinal)
 			? numberFormat.PositiveSign.Length
 			: 0;
 	}