diff --git a/src/implementations/BigInt.jl b/src/implementations/BigInt.jl
index 36aa8c45..e196c2ef 100644
--- a/src/implementations/BigInt.jl
+++ b/src/implementations/BigInt.jl
@@ -25,6 +25,20 @@ promote_operation(::typeof(one), ::Type{BigInt}) = BigInt
 
 operate!(::typeof(one), x::BigInt) = Base.GMP.MPZ.set_si!(x, 1)
 
+# abs
+
+promote_operation(::typeof(abs), ::Type{BigInt}) = BigInt
+
+function operate!(::typeof(abs), n::BigInt)
+    n.size = abs(n.size)
+    return n
+end
+
+function operate_to!(o::BigInt, ::typeof(abs), n::BigInt)
+    operate_to!(o, copy, n)
+    return operate!(abs, o)
+end
+
 # +
 
 promote_operation(::typeof(+), ::Type{BigInt}, ::Type{BigInt}) = BigInt
diff --git a/src/implementations/Rational.jl b/src/implementations/Rational.jl
index 2c293138..02acd5b0 100644
--- a/src/implementations/Rational.jl
+++ b/src/implementations/Rational.jl
@@ -51,6 +51,21 @@ end
 
 _buffered_simplify(buffer, x::Rational) = _buffered_divgcd(buffer, x.num, x.den)
 
+# abs
+
+promote_operation(::typeof(abs), ::Type{Q}) where {Q<:Rational} = Q
+
+function operate!(::typeof(abs), x::Rational)
+    operate!(abs, x.num)
+    return x
+end
+
+function operate_to!(o::Q, ::typeof(abs), x::Q) where {Q<:Rational}
+    operate_to!(o.num, abs, x.num)
+    operate_to!(o.den, copy, x.den)
+    return o
+end
+
 # + and -
 
 function promote_operation(