diff --git a/stdlib-candidate/std-rfc/math/mod.nu b/stdlib-candidate/std-rfc/math/mod.nu
index 9a045ea7..f5c0b884 100644
--- a/stdlib-candidate/std-rfc/math/mod.nu
+++ b/stdlib-candidate/std-rfc/math/mod.nu
@@ -31,7 +31,16 @@ export def 'significant-digits' [
         _ => {$input}
     }
 
-    let insignif_position = $n - 1 - ($num | math abs | math log 10 | math floor)
+    let insignif_position = $num
+        | if $in == 0 {
+            0 # it's impoosbile to calculate `math log` from 0, thus 0 errors here
+        } else {
+            math abs
+            | math log 10
+            | math floor
+            | $n - 1 - $in
+        }
+
 
     # See the note below the code for an explanation of the construct used.
     let scaling_factor = 10 ** ($insignif_position | math abs)
diff --git a/stdlib-candidate/tests/math.nu b/stdlib-candidate/tests/math.nu
index c719adc3..cafe00db 100644
--- a/stdlib-candidate/tests/math.nu
+++ b/stdlib-candidate/tests/math.nu
@@ -19,3 +19,11 @@ export def "test significant-digits-duration" [] {
 export def "test significant-digits-ints" [] {
     assert equal (123456 | math significant-digits 2) 120000
 }
+
+export def "test significant-digits-0" [] {
+    assert equal (0 | math significant-digits 2) 0
+}
+
+export def "test significant-digits-negative" [] {
+    assert equal (-1.23456789 | math significant-digits 5) (-1.2346)
+}