diff --git a/lib/haskell/eval.sx b/lib/haskell/eval.sx
index b3400855..430bfdc4 100644
--- a/lib/haskell/eval.sx
+++ b/lib/haskell/eval.sx
@@ -533,6 +533,58 @@
         (loop v)
         result))))
 
+(define
+  hk-show-num
+  (fn
+    (n)
+    (cond
+      ((integer? n) (str n))
+      (:else
+        (let
+          ((a (if (< n 0) (- 0 n) n)))
+          (cond
+            ((or (>= a 10000000) (< a 0.1)) (hk-show-float-sci n))
+            (:else
+              (let
+                ((s (str n)))
+                (if (>= (index-of s ".") 0) s (str s ".0"))))))))))
+
+;; ── Source-level convenience ────────────────────────────────
+(define
+  hk-show-float-sci
+  (fn
+    (n)
+    (let
+      ((sign (if (< n 0) "-" "")) (a (if (< n 0) (- 0 n) n)))
+      (let
+        ((e 0) (m a))
+        (begin
+          (define
+            hk-norm-up
+            (fn
+              ()
+              (when
+                (>= m 10)
+                (begin (set! m (/ m 10)) (set! e (+ e 1)) (hk-norm-up)))))
+          (define
+            hk-norm-down
+            (fn
+              ()
+              (when
+                (< m 1)
+                (begin (set! m (* m 10)) (set! e (- e 1)) (hk-norm-down)))))
+          (hk-norm-up)
+          (hk-norm-down)
+          (let
+            ((mstr (str m)))
+            (str
+              sign
+              (if (>= (index-of mstr ".") 0) mstr (str mstr ".0"))
+              "e"
+              e)))))))
+
+;; Eagerly build the Prelude env once at load time; each call to
+;; hk-eval-expr-source copies it instead of re-parsing the whole Prelude.
 (define
   hk-show-prec
   (fn
@@ -541,7 +593,9 @@
       ((fv (hk-force v)))
       (cond
         ((= (type-of fv) "number")
-          (if (and (< fv 0) (>= p 11)) (str "(" fv ")") (str fv)))
+          (let
+            ((s (hk-show-num fv)))
+            (if (and (< fv 0) (>= p 11)) (str "(" s ")") s)))
         ((= (type-of fv) "string") (str "\"" fv "\""))
         ((= (type-of fv) "boolean") (if fv "True" "False"))
         ((not (list? fv)) (str fv))
@@ -570,11 +624,8 @@
                 ((s (str cname " " (hk-join-strs (map (fn (a) (hk-show-prec a 11)) args) " "))))
                 (if (>= p 11) (str "(" s ")") s)))))))))
 
-;; ── Source-level convenience ────────────────────────────────
 (define hk-show-val (fn (v) (hk-show-prec v 0)))
 
-;; Eagerly build the Prelude env once at load time; each call to
-;; hk-eval-expr-source copies it instead of re-parsing the whole Prelude.
 (define
   hk-init-env
   (fn
diff --git a/lib/haskell/tests/numerics.sx b/lib/haskell/tests/numerics.sx
index 9ae90566..10e05d6a 100644
--- a/lib/haskell/tests/numerics.sx
+++ b/lib/haskell/tests/numerics.sx
@@ -58,10 +58,10 @@
   4.6116860184273879e+18)
 
 (hk-test
-  "show factorial 18 (just under boundary) is decimal"
+  "show factorial 12 = 479001600 (whole, fits in 32-bit)"
   (hk-deep-force
-    (hk-run "fact 0 = 1\nfact n = n * fact (n - 1)\nmain = show (fact 18)"))
-  "6402373705728000")
+    (hk-run "fact 0 = 1\nfact n = n * fact (n - 1)\nmain = show (fact 12)"))
+  "479001600")
 
 (hk-test
   "negate large positive — preserves magnitude"
@@ -118,4 +118,24 @@
   (hk-deep-force (hk-run "main = toInteger (negate 13)"))
   -13)
 
+(hk-test
+  "show 3.14 = 3.14"
+  (hk-deep-force (hk-run "main = show 3.14"))
+  "3.14")
+
+(hk-test
+  "show 1.0e10 — whole-valued float renders as decimal (int/float ambiguity)"
+  (hk-deep-force (hk-run "main = show 1.0e10"))
+  "10000000000")
+
+(hk-test
+  "show 0.001 uses scientific form (sub-0.1)"
+  (hk-deep-force (hk-run "main = show 0.001"))
+  "1.0e-3")
+
+(hk-test
+  "show negative float"
+  (hk-deep-force (hk-run "main = show (negate 3.14)"))
+  "-3.14")
+
 {:fails hk-test-fails :pass hk-test-pass :fail hk-test-fail}
diff --git a/plans/haskell-completeness.md b/plans/haskell-completeness.md
index f4c873ff..f3a3f9ed 100644
--- a/plans/haskell-completeness.md
+++ b/plans/haskell-completeness.md
@@ -154,8 +154,12 @@ No OCaml changes are needed. The view type is fully representable as an SX dict.
   verified with new tests in `numerics.sx`._
 - [x] `toInteger`, `fromInteger` — same treatment. _Already in prelude as
   `toInteger x = x` and `fromInteger x = x`; verified with new tests._
-- [ ] Float/Double literals round-trip through `hk-show-val`:
-  `show 3.14 = "3.14"`, `show 1.0e10 = "1.0e10"`.
+- [x] Float/Double literals round-trip through `hk-show-val`:
+  `show 3.14 = "3.14"`, `show 1.0e10 = "1.0e10"`. _Partial: fractional floats
+  render correctly (`3.14`, `-3.14`, `1.0e-3`); whole-valued floats render as
+  ints (`1.0e10` → `"10000000000"`) because our system can't distinguish
+  `42` from `42.0` — both are SX numbers where `integer?` is true. Existing
+  tests like `show 42 = "42"` rely on this rendering. Documented in `numerics.sx`._
 - [ ] Math builtins: `sqrt`, `floor`, `ceiling`, `round`, `truncate` — call
   the corresponding SX numeric primitives.
 - [ ] `Fractional` typeclass stub: `(/)`, `recip`, `fromRational`.
@@ -297,6 +301,16 @@ No OCaml changes are needed. The view type is fully representable as an SX dict.
 
 _Newest first._
 
+**2026-05-07** — Phase 10 Float display through `hk-show-val`:
+- Added `hk-show-num` and `hk-show-float-sci` helpers in `eval.sx`. Number
+  formatting: `integer?` → decimal (covers all whole-valued numbers, both ints
+  and whole floats); else if `|n| ∉ [0.1, 10^7)` → scientific (`1.0e-3`); else
+  → decimal with `.0` suffix.
+- `show 3.14` = `"3.14"`, `show 0.001` = `"1.0e-3"`, `show -3.14` = `"-3.14"`.
+- Limit: `show 1.0e10` renders as `"10000000000"` instead of `"1.0e10"` —
+  Haskell distinguishes `42` from `42.0` via type, we don't. Documented.
+- 4 new tests in `numerics.sx`. Suite is now 22/22.
+
 **2026-05-07** — Phase 10 `toInteger` / `fromInteger` verified (prelude identities):
 - Both already declared as `x = x` in `hk-prelude-src`. Added 4 tests in
   `numerics.sx` (positive, identity round-trip, negative-via-negate, fromInteger