diff --git a/number.lua b/number.lua
index d0d81e8..9bc639a 100644
--- a/number.lua
+++ b/number.lua
@@ -149,8 +149,15 @@ function format_num (n, shorthand)
 		local a = { special_number_tests.est(n) }
 		if a[1] then
 			for i = 1, #a do  a[i] = math.floor(a[i] + 0.5)  end
-			if n == special_number_tests.real(unpack(a)) then
+			local num  = special_number_tests.real(unpack(a))
+			if num == n then
 				alternative_repr( special_number_tests[shorthand and 'short' or 'repr'](unpack(a)) )
+			elseif num then
+				local repr = special_number_tests[shorthand and 'short' or 'repr'](unpack(a))
+				local native_precise = tonumber(('%'..utf8.width(repr)..'f'):format(n))
+				if math.abs(num - n) <= math.abs( native_precise - n ) then
+					alternative_repr( repr )
+				end
 			end
 		end
 	end
diff --git a/test/test_number.lua b/test/test_number.lua
index a4a1ac9..950f97c 100644
--- a/test/test_number.lua
+++ b/test/test_number.lua
@@ -82,6 +82,16 @@ number_test {
     expect = '0.65',
 }
 
+number_test {
+    input  = 2.05,
+    expect = '2.05',
+}
+
+number_test {
+    input  = 2.0512523,
+    expect = '2.0512523',
+}
+
 --------------------------------------------------------------------------------
 -- Fractions