The income method calculates total national income by adding up all incomes earned from supplying factors of production like employment, self-employment, profits, and rent during a given time period, ignoring transfer payments. The expenditure method adds up all money spent on consumption, investment, government expenditure, and net exports for the year's output, excluding indirect taxes and spending on used goods. The output method breaks the economy into sectors, calculates the value added of each by taking inputs from outputs, and sums the sectors' value added or final output to determine national income.