diff --git a/crates/emath/src/ordered_float.rs b/crates/emath/src/ordered_float.rs
index dd58a22a277..369541fed0d 100644
--- a/crates/emath/src/ordered_float.rs
+++ b/crates/emath/src/ordered_float.rs
@@ -124,13 +124,15 @@ mod private {
 
         #[inline]
         fn hash<H: Hasher>(&self, state: &mut H) {
-            if *self == 0.0 {
-                state.write_u8(0);
-            } else if self.is_nan() {
-                state.write_u8(1);
+            let bits = if self.is_nan() {
+                // "Canonical" NaN.
+                0x7fc00000
             } else {
-                self.to_bits().hash(state);
-            }
+                // A trick taken from the `ordered-float` crate: -0.0 + 0.0 == +0.0.
+                // https://github.com/reem/rust-ordered-float/blob/1841f0541ea0e56779cbac03de2705149e020675/src/lib.rs#L2178-L2181
+                (self + 0.0).to_bits()
+            };
+            bits.hash(state);
         }
     }
 
@@ -142,13 +144,13 @@ mod private {
 
         #[inline]
         fn hash<H: Hasher>(&self, state: &mut H) {
-            if *self == 0.0 {
-                state.write_u8(0);
-            } else if self.is_nan() {
-                state.write_u8(1);
+            let bits = if self.is_nan() {
+                // "Canonical" NaN.
+                0x7ff8000000000000
             } else {
-                self.to_bits().hash(state);
-            }
+                (self + 0.0).to_bits()
+            };
+            bits.hash(state);
         }
     }
 }