diff --git a/CHANGELOG.md b/CHANGELOG.md
index 23f129ef601..3e05d140f7f 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -6,6 +6,7 @@
 
 * [#8463](https://github.com/rubocop-hq/rubocop/pull/8463): Fix false positives for `Lint/OutOfRangeRegexpRef` when a regexp is defined and matched in separate steps. ([@eugeneius][])
 * [#8466](https://github.com/rubocop-hq/rubocop/issues/8466): Fix a false positive for `Lint/UriRegexp` when using `regexp` method without receiver. ([@koic][])
+* [#8478](https://github.com/rubocop-hq/rubocop/issues/8478): Relax `Lint/BinaryOperatorWithIdenticalOperands` for mathematical operations. ([@marcandre][])
 
 ## 0.89.0 (2020-08-05)
 
diff --git a/lib/rubocop/cop/lint/binary_operator_with_identical_operands.rb b/lib/rubocop/cop/lint/binary_operator_with_identical_operands.rb
index d28a3ff5c6a..c1e20bdd024 100644
--- a/lib/rubocop/cop/lint/binary_operator_with_identical_operands.rb
+++ b/lib/rubocop/cop/lint/binary_operator_with_identical_operands.rb
@@ -29,12 +29,13 @@ module Lint
       #
       class BinaryOperatorWithIdenticalOperands < Base
         MSG = 'Binary operator `%<op>s` has identical operands.'
+        MATH_OPERATORS = %i[+ - * / % ** << >> | ^].to_set.freeze
 
         def on_send(node)
           return unless node.binary_operation?
 
           lhs, operation, rhs = *node
-          return if node.arithmetic_operation? && lhs.basic_literal? && rhs.basic_literal?
+          return if MATH_OPERATORS.include?(node.method_name) && rhs.basic_literal?
 
           add_offense(node, message: format(MSG, op: operation)) if lhs == rhs
         end
diff --git a/spec/rubocop/cop/lint/binary_operator_with_identical_operands_spec.rb b/spec/rubocop/cop/lint/binary_operator_with_identical_operands_spec.rb
index 97f9f01b3af..3dc24e2be41 100644
--- a/spec/rubocop/cop/lint/binary_operator_with_identical_operands_spec.rb
+++ b/spec/rubocop/cop/lint/binary_operator_with_identical_operands_spec.rb
@@ -28,6 +28,7 @@
   it 'does not register an offense when using arithmetic operator with numerics' do
     expect_no_offenses(<<~RUBY)
       x = 2 + 2
+      x = 1 << 1
     RUBY
   end
 end