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This paper studies the large time behavior of solutions to the 2D micropolar equations with linear damping velocity. It is proven that the global solutions have rapid time decay rates <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mo>∥</mo><mo>∇</mo><mi>ω</mi><mo>∥</mo></mrow><msup><mi>L</mi><mn>2</mn></msup></msub><mo>+</mo><msub><mrow><mo>∥</mo><mo>∇</mo><mi>u</mi><mo>∥</mo></mrow><msup><mi>L</mi><mn>2</mn></msup></msub><mo>≤</mo><mi>C</mi><msup><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>t</mi><mo>)</mo></mrow><mrow><mo>−</mo><mfrac><mn>3</mn><mn>2</mn></mfrac></mrow></msup></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mo>∥</mo><mi>u</mi><mo>∥</mo></mrow><msup><mi>L</mi><mn>2</mn></msup></msub><mo>≤</mo><mi>C</mi><msup><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>t</mi><mo>)</mo></mrow><mrow><mo>−</mo><mfrac><mn>3</mn><mn>2</mn></mfrac></mrow></msup><mo>,</mo><msub><mrow><mo>∥</mo><mi>ω</mi><mo>∥</mo></mrow><msup><mi>L</mi><mn>2</mn></msup></msub><mo>≤</mo><mi>C</mi><msup><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>t</mi><mo>)</mo></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></semantics></math></inline-formula>. The findings are mainly based on the new observation that linear damping actually improves the low-frequency effect of the system. The methods here are also available for complex fluid models with linear damping structures.