Climate models use mathematical equations and global grids to simulate and predict climate conditions based on physical principles and observational data. They show reasonable agreement with past climate trends and are used to project future climate change under different greenhouse gas emission scenarios. However, uncertainties remain regarding some processes like cloud formation. Current models estimate global warming of 0.3-1.7°C by 2100 under a low emission scenario and 2.6-4.8°C under high emissions, with greater warming over land and in polar regions. The models also predict more hot days and heat waves along with rising sea levels.